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Aviation stability analysis with coupled system criterion of theoretical solutions

  • C.C. Hung (Faculty of National Hsin Hua Senior High School) ;
  • T. Nguyen (Ha Tinh University, Dai Nai Campus)
  • Received : 2022.12.04
  • Accepted : 2023.05.08
  • Published : 2023.06.25

Abstract

In our research, we have proposed a solid solution for aviation analysis which can ensure the asymptotic stability of coupled nonlinear plants, according to the theoretical solutions and demonstrated method. Because this solution employed the scheme of specific novel theorem of control, the controllers are artificially combined by the parallel distribution computation to have a feasible solution given the random coupled systems with aviation stability analysis. Therefore, we empathize and manually derive the results which shows the utilized lemma and criterion are believed effective and efficient for aircraft structural analysis of composite and nonlinear scenarios. To be fair, the experiment by numerical computation and calculations were explained the perfectness of the methodology we provided in the research.

Keywords

References

  1. Argyris, J. (1982), "An excursion into large rotations", Comput. Meth. Appl. Mech. Eng., 32(1-3), 85-155. https://doi.org/10.1016/0045-7825(82)90069-x. 
  2. Attia, S. (2022), "Shell finite element formulation for geometrically nonlinear analysis of curved thin-walled pipes", Thin Wall. Struct., 173, 108971. https://doi.org/10.1016/j.tws.2022.108971. 
  3. Bathe, K.J. and Dvorkin, E.N. (1985), "Mindlin reissner plate-theory and a mixed interpolation", Int. J. Numer. Meth. Eng., 21(2), https://doi.org/10.1002/nme.1620210213. 
  4. Batoz, J.L. (1980), "A study of threenode triangular plate bending elements", Int. J. Numer. Meth. Eng., 15(12), 1771-1812. https://doi.org/10.1002/nme.1620151205. 
  5. Battini, J.M. (2006), "On the choice of the linear element for corotational triangular shells", Comput. Met. Appl. Mech. Eng., 195(44), 6362-6377. https://doi.org/10.1016/j.cma.2006.01.007. 
  6. Belytschko, T. and Leviathan, I. (1994), "Physical stabilization of the 4-node shell element with one-point quadrature", Comput. Meth. Appl. Mech. Eng., 113(3-4), 321-350. https://doi.org/10.1016/0045-7825(94)90052-3. 
  7. Bisegna, P. (2017), "Element for geometrically nonlinear analysis of thin piezoactuated structures", Compos. Struct., 172, 267-281. https://doi.org/10.1016/j.compstruct.2017.03.074. 
  8. Bucalem, M.L. and Bathe, K.J. (1993), "Higher-order MITC general shell elements", Int. J. Numer. Meth. Eng., 36(21), 3729-3754. https://doi.org/10.1002/nme.1620362109. 
  9. Cen, S. (1999), "A Mindlin quadrilateral plate element with improved interpolation for the rotation and shear fields", Eng. Mech., 16(4), 1-15. 
  10. Cen, S. and Wu, C.J. (2019), "High-performance finite element methods", Eng. Comput., 36(8), 2811-2834. https://doi.org/10.1108/EC-10- 2018-0479. 
  11. Chen, C. (2007), "Analysis of experimental data on internal waves with statistical method", Eng Comput., 24(2), 116-150. https://doi.org/10.1108/02644400710729536. 
  12. Chen, C. (2007), "Wave propagation at the interface of a two-layer system in laboratory", J. Mar. Sci. Technol. Taiwan, 15(1), 9-18. https://doi.org/10.51400/2709-6998.2027. 
  13. Chen, C. (2010), "Modeling and fuzzy PDC control and its application to an oscillatory TLP structure", Math. Prob. Eng., 2010, Article ID 120403. https://doi.org/10.1155/2010/120403. 
  14. Chen, C., Chen, P. and Chiang, W. (2011), "Stabilization of adaptive neural network controllers for nonlinear structural systems using a singular perturbation approach", J. Vib. Control, 17, 1241-1252. https://doi.org/10.1177/1077546309352827. 
  15. Chen, C., Chu, T., Lin, M. and Chang, C. (2011), "Using mobile geographic information system (GIS) techniques to develop a location-based tour guiding system based on user evaluations", Int. J. Phys. Sci., 7(1), 121-131. https://doi.org/10.5897/IJPS11.1420. 
  16. Chen, C., Wang, M.H. and Lin, J. (2009), "Managing target the cash balance in construction firms using a fuzzy regression approach", Int. J. Uncertain. Fuzzin. Knowl. Bas. Syst., 17, 667-684. https://doi.org/10.1142/S0218488509006200. 
  17. Chen, C.W. (2009), "Modeling and control for nonlinear structural systems via a NN based approach", Exp. Syst. Appl., 36, 4765-4772. https://doi.org/10.1016/j.eswa.2008.06.062. 
  18. Chen, C.W. (2009), "The stability of an oceanic structure with T-S fuzzy models", Math. Comput. Simul., 80, 402-426. https://doi.org/10.1016/j.matcom.2009.08.001. 
  19. Chen, C.W. (2010), "Application of project cash management and control for infrastructure", J. Marine Sci. Technol., 18(5), 644-651. https://doi.org/10.51400/2709-6998.1902. 
  20. Chen, C.W. (2011), "A critical review of parallel distributed computing and the Lyapunov criterion for multiple time-delay fuzzy systems", Int. J. Phys. Sci., 6(19), 4492-4501. https://doi.org/10.5897/IJPS11.908. 
  21. Chen, C.W. (2011), "Modeling, control, and stability analysis for time-delay TLP systems using the fuzzy Lyapunov method", Neur. Comput. Appl., 20, 527-534. https://doi.org/10.1007/s00521-011-0576-8. 
  22. Chen, C.W. (2011), "Stability analysis and robustness design of nonlinear systems: An NN-based approach", Appl. Soft Comput., 11(2), 2735-2742. https://doi.org/10.1016/j.asoc.2010.11.004. 
  23. Chen, C.W. (2012), "A novel strategy to determine the insurance and risk control plan for natural disaster risk management", Nat. Hazard., 64, 1391-1403. https://doi.org/10.1007/s11069-012-0305-3. 
  24. Chen, C.W. (2012), "Hazard management and risk design by optimal statistical analysis", Nat. Hazard., 64, 1707-1716. https://doi.org/10.1007/s11069-012-0329-8. 
  25. Chen, C.W. (2013), "A new viewpoint of hazard assessment and management for Taiwan's insurance issues", Nat. Hazard., 65, 303-314. https://doi.org/10.1007/s11069-012-0363-6. 
  26. Chen, C.W. (2013), "Application of GIS for the determination of hazard hotspots after direct transportation linkages between Taiwan and China", Nat. Hazard., 66, 191-228. https://doi.org/10.1007/s11069-012-0402-3. 
  27. Chen, C.W. (2013), "The integration of nautical hazard assessment and harbor GIS models to the Taichung Port area in Taiwan", Nat. Hazard., 67, 275-294. https://doi.org/10.1007/s11069-013-0559-4. 
  28. Chen, C.W. (2014), "A criterion of robustness intelligent nonlinear control for multiple time-delay systems based on fuzzy Lyapunov methods", Nonlin. Dyn., 76, 23-31. https://doi.org/10.1007/s11071-013-0869-9. 
  29. Chen, C.W. (2014), "Interconnected TS fuzzy technique for nonlinear time-delay structural systems", Nonlin. Dyn., 76, 13-22. https://doi.org/10.1007/s11071-013-0841-8. 
  30. Chen, C.W. (2015), "Smart monitoring system with multi-criteria decision using a feature based computer vision technique", Smart Struct. Syst., 15(6), 1583-1600. https://doi.org/10.12989/sss.2015.15.6.1583. 
  31. Chen, C.W. and Chen, P.C. (2010), "GA-based adaptive neural network controllers for nonlinear systems", Int. J. Innov. Comput., Inform. Control, 6(4), 1793-1803. 
  32. Chen, C.W. and Tseng, C.P. (2012), "Default risk-based probabilistic decision model for risk management and control", Nat. Hazard., 63, 659-671. https://doi.org/10.1007/s11069-012-0183-8. 
  33. Chen, C.W., Chiang, W.L., Tsai, C.H., Chen, C.Y. and Wang, M.H. (2006), "Fuzzy lyapunov method for stability conditions of nonlinear systems", Int. J. Artif. Intell. Tool., 15, 163-171. https://doi.org/10.1142/S0218213006002618. 
  34. Chen, C.W., Chiang, W.L., Yeh, K., Chen, Z.Y. and Lu, L.T. (2002), "A stability criterion of time-delay fuzzy systems", J. Marine Sci. Technol., 10, 33-35. https://doi.org/10.51400/2709-6998.2298. 
  35. Chen, C.W., Lin, C.L., Tsai, C.H., Chen, C.Y. and Yeh, K. (2007), "A novel delay-dependent criterion for time-delay TS fuzzy systems using fuzzy Lyapunov method", Int. J. Artif. Intell. Tool., 16, 545-552. https://doi.org/10.1142/S0218213007003400. 
  36. Chen, C.W., Yeh, K. and Liu, K.F.R. (2009), "Adaptive fuzzy sliding mode control for seismically excited bridges with lead rubber bearing isolation", Int. J. Uncertain., Fuzz. Knowledge-Bas. Syst., 17(05), 705-727. https://doi.org/10.1142/S0218488509006224. 
  37. Chen, C.Y. (2008), "Experiments on mixing and dissipation in internal solitary waves over two triangular obstacles", Environ. Fluid Mech., 8(3), 199-214. https://doi.org/10.1007/s10652-008-9055-x. 
  38. Chen, C.Y. (2010), "The study of a forecasting sales model for fresh food", Exp. Syst. Appl., 12(37), 7696-7702. https://doi.org/10.1016/j.eswa.2010.04.072. 
  39. Chen, C.Y., Hsu, J.R.C. and Chen, C.W. (2005), "Fuzzy logic derivation of neural network models with time delays in subsystems", Int. J. Artif. Intel. Tool., 14(06), 967-974. https://doi.org/10.1142/S021821300500248X. 
  40. Chen, C.Y., Hsu, J.R.C., Chen, C.W., Chen, H.H., Kuo, C.F. and Cheng, M.H. (2007), "Generation of internal solitary wave by gravity collapse", J. Marine Sci. Technol., 15(1), 1. https://doi.org/10.51400/2709-6998.2026. 
  41. Chen, C.Y., Hsu, J.R.C., Chen, H.H., Kuo, C.F. and Cheng, M.H. (2007), "Laboratory observations on internal solitary wave evolution on steep and inverse uniform slopes", Ocean Eng., 34(1), 157-170. http://doi.org/10.1016/j.oceaneng.2005.11.019. 
  42. Chen, C.Y., Hsu, J.R.C., Cheng, M.H., Chen, H.H. and Kuo, C.F. (2007), "An investigation on internal solitary waves in a two-layer fluid: propagation and reflection from steep slopes", Ocean Eng., 34(1), 171-184. http://doi.org/10.1016/j.oceaneng.2005.11.020. 
  43. Chen, C.Y., Shen, C.W., Chen, C.W., Liu, K.F.R. and Jeng, M.J. (2009), "A stability criterion for time-delay tension leg platform systems subjected to external force", Chin. Ocean Eng., 23, 49-57. 
  44. Chen, C.Y., Tseng, I.F., Yang, H.C.P., Chen, C.W. and Chen, T.H. (2006), "Profile evolution and energy dissipation for internal soliton transmitting over different submarine ridges", China Ocean Eng., 20(4), 585-594. 
  45. Chen, C.Y., Yang, H.C.P., Chen, C.W. and Chen, T.H. (2008), "Diagnosing and revising logistic regression models: effect on internal solitary wave propagation", Eng. Comput., 25(2), 121-139. https://doi.org/10.1108/02644400810855940. 
  46. Chen, C.Y.J., Chen, T., Huang, Y.C., Hung, C.C., Frias, S. and Muḥammad, J.A. (2021), "Smart structural stability and NN based intelligent control for nonlinear systems", Smart Struct. Syst., 27(6), 917-926. https://doi.org/10.12989/sss.2021.27.6.917. 
  47. Chen, C.Y.J., Kuo, D., Hsieh, C. and Chen, T. (2020), "System simulation and synchronization for optimal evolutionary design of nonlinear controlled systems", Smart Struct. Syst., 26(6), 797-807. https://doi.org/10.12989/sss.2020.26.6.797. 
  48. Chen, P.C., Chen, C. and Chiang, W. (2008), "GA-based fuzzy sliding mode controller for nonlinear systems", Math. Prob. Eng., 2008, Article ID 325859. https://doi.org/10.1155/2008/325859. 
  49. Chen, P.C., Chen, C. and Chiang, W. (2009), "A novel stability condition and its application to GA-based fuzzy control for nonlinear systems with uncertainty", J. Marine Sci. Technol., 17, 293-299. https://doi.org/10.51400/2709-6998.1985. 
  50. Chen, P.C., Chen, C. and Chiang, W. (2009), "GA-based modified adaptive fuzzy sliding mode controller for nonlinear systems", Exp. Syst. Appl., 36, 5872-5879. https://doi.org/10.1016/j.eswa.2008.07.003. 
  51. Chen, P.C., Chen, C., Chiang, W. and Lo, D.C. (2011), "GA-based decoupled adaptive FSMC for nonlinear systems by a singular perturbation scheme", Exp. Syst. Appl., 3620(4), 517-526. https://doi.org/10.1007/s00521-011-0540-7. 
  52. Chen, T., Dkuo, N.J. and Chen, C.Y.J. (2020), "A composite control for UAV systems with time delays", Aircraft Eng. Aerosp. Technol., 92(7), 949-954. https://doi.org/10.1108/AEAT-11-2019-0219. 
  53. Chen, T., Hung, C.C., Huang, Y.C., Chen, J.C., Rahman, S. and Mozumder, T.I. (2021), "Grey signal predictor and fuzzy controls for active vehicle suspension systems via Lyapunov theory", Int. J. Comput. Commun. Control, 16(3), 3991. https://doi.org/10.15837/ijccc.2021.3.3991. 
  54. Chen, T., Kapron, N. and Chen, J.Y. (2020), "Using evolving ANN-Based algorithm models for accurate meteorological forecasting applications in Vietnam", Math. Prob. Eng., 2020, Article ID 8179652. https://doi.org/10.1155/2020/8179652. 
  55. Chen, T., Kuo, D., Huiwi, M., Gong-Yo, T. and Chen, J.Y. (2021), "Evolved predictive vibration control for offshore platforms based on the Lyapunov stability criterion", Ship. Offshore Struct., 16(7), 700-713. https://doi.org/10.1080/17445302.2020.1776548. 
  56. Chen, T., Lohnash, M., Owens, E. and Chen, C.Y.J. (2020), "PDC Intelligent control-based theory for structure system dynamics", Smart Struct. Syst., 25(4), 401-408. https://doi.org/10.12989/sss.2020.25.4.401. 
  57. Chen, T., Morozov, S.N. and Chen, C.Y.J. (2019), "Hazard data analysis for underwater vehicles by submarine casualties", Marine Technol. Soc. J., 53(6), 21-26. https://doi.org/10.4031/MTSJ.53.6.2. 
  58. Chen, T., Yang, H.P. and Chen, C. (2008), "A mathematical tool for inference in logistic regression with small-sized data sets: A practical application on ISW-ridge relationships", Math. Prob. Eng., 2008, Article ID 186372. https://doi.org/10.1155/2008/186372. 
  59. Chen, T.M. (2010), "Application of data mining to the spatial heterogeneity of foreclosed mortgages", Exp. Syst. Appl., 37, 993-997. https://doi.org/10.1016/j.eswa.2009.05.076. 
  60. Chen, Z.Y. (2022), "NN model-based evolved control by DGM model for practical nonlinear systems", Exp. Syst. Appl., 193, 115873. https://doi.org/10.1016/j.eswa.2021.115873. 
  61. Chen, Z.Y., Huang, L., Wu, H., Meng, Y., Xiang, S. and Chen, T. (2021), "grey signal predictor and evolved control for practical nonlinear mechanical systems", J. Grey Syst., 33(1), https://doi.org/10.36909/jer.11273. 
  62. Chen, Z.Y., Huang, L., Wu, H., Meng, Y., Xiang, S. and Chen, T. (2021), "Grey signal predictor and evolved control for practical nonlinear mechanical systems", J. Grey Syst., 33(1), 156-170. 
  63. Chen, Z.Y., Jiang, R., Wang, R.Y. and Chen, T. (2021), "LMI control scheme with AI algorithm to civil frame building dynamic analysis", Comput. Concrete, 28(4), 433-440. https://doi.org/10.12989/cac.2021.28.4.433. 
  64. Chen, Z.Y., Jiang, R., Wang, R.Y. and Chen, T. (2021), "Active TMD systematic design of fuzzy control and the application in high-rise buildings", Earthq. Struct., 21(6), 577-585. https://doi.org/10.12989/eas.2021.21.6.577. 
  65. Chen, Z.Y., Meng, Y., Wang, R.Y. and Chen, T. (2022), "Systematic fuzzy Navier-Stokes equations for aerospace vehicles", Aircraft Eng. Aerosp. Technol., 94(3), 351-359. https://doi.org/10.1108/AEAT-06-2020-0109. 
  66. Chen, Z.Y., Meng, Y., Wang, R.Y. and Chen, T. (2022), "Bridges dynamic analysis under earthquakes using a smart algorithm", Earthq. Struct., 23(4), 329-338. https://doi.org/10.12989/eas.2022.23.4.329. 
  67. Chen, Z.Y., Meng, Y., Wang, R.Y., Peng, S.H., Yang, Y. and Chen, T. (2022), "Dynamic intelligent control of composite buildings by using M-TMD and evolutionary algorithm", Steel Compos. Struct., 42(5), 591-598. https://doi.org/10.12989/scs.2022.42.5.591. 
  68. Chen, Z.Y., Peng, S.H., Meng, Y., Wang, R.Y., Fu, Q. and Chen, T. (2022), "damage tracking and dynamic structural behaviour with AI algorithm", Steel Compos. Struct., 42(2), 151-159. https://doi.org/10.12989/scs.2022.42.2.151. 
  69. Chen, Z.Y., Peng, S.H., Meng, Y., Wang, R.Y., Fu, Q. and Chen, T. (2022), "Composite components damage tracking and dynamic structural behaviour with AI algorithm", Steel Compos. Struct., 42(2), 151-159. https://doi.org/10.12989/scs.2022.42.2.151. 
  70. Chen, Z.Y., Peng, S.H., Wang, R.Y., Meng, Y., Fu, Q. and Chen, T. (2022), "Stochastic intelligent GA-NN controller design for active TMD shear building", Struct. Eng. Mech., 81(1), 51-57. https://doi.org/10.12989/sem.2022.81.1.051. 
  71. Chen, Z.Y., Wang, R.Y., Jiang, R. and Chen, T. (2022), "Neural ordinary differential gray algorithm to forecasting nonlinear systems", Adv. Eng. Softw., 173, 103199. https://doi.org/10.1016/j.advengsoft.2022.103199. 
  72. Cheng, C. (2019), "Modelling and verification of an automatic controller for a water treatment mixing tank", Desalin. Water Treat., 159, 318-326. https://doi.org/10.5004/dwt.2019.24143. 
  73. Cheng, M.H., Hsu, J.R.C., Chen, C.Y. and Chen, C.W. (2009), "Modelling the propagation of an internal solitary wave across double ridges and a shelf-slope", Environ. Fluid Mech., 9, 321-340. https://doi.org/10.1007/s10652-008-9104-5. 
  74. Chiang, W. (2004), "Stability analysis of nonlinear interconnected systems via T-S fuzzy models", Int. J. Comput. Intel. Appl., 4, 41-55. https://doi.org/10.1142/S1469026804001033. 
  75. Chiang, W. (2007), "A novel delay-dependent criterion for time-delay T-S fuzzy systems using fuzzy Lyapunov method", Int. J. Artif. Intell. Tool., 16, 545-552. https://doi.org/10.1142/S0218213007003400. 
  76. Chiang, W. (2007), "Fuzzy lyapunov method for stability conditions of nonlinear systems", Int. J. Artif. Intell. Tool., 15, 163-172. https://doi.org/10.1142/S0218213006002618. 
  77. Chiang, W. (2007), "Robustness design of time-delay fuzzy systems using fuzzy Lyapunov method", Appl. Math. Comput., 205, 568-577. https://doi.org/10.1016/j.amc.2008.05.104. 
  78. Chiang, W., Chen, C. and Wu, D. (2007), "Modeling, H∞ control and stability analysis for structural systems using Takagi-Sugeno fuzzy model", J. Vib. Control, 13, 1519-1534. https://doi.org/10.1177/1077546307073690. 
  79. Chiang, W.L. (2001), "Application and robust H control of PDC fuzzy controller for nonlinear systems with external disturbance", J. Marine Sci. Technol., 9(2), 84-90. https://doi.org/10.51400/2709-6998.2438. 
  80. Chiang, W.L. (2010), "Detecting the sensitivity of structural damage based on the Hilbert-Huang transform approach", Eng. Comput., 27(7), 799-818. https://doi.org/10.1108/02644401011073665. 
  81. Chiang, W.L., Yeh, K., Chen, C. and Chen, C. (2002), "A new approach to stability analysis for nonlinear time-delay systems", Int. J. Fuzzy Syst., 4(2), 735-738. 
  82. Chiou, D.J. (2011), "Applications of Hilbert-Huang transform to structural damage detection", Struct. Eng. Mech., 39(1), 1-20. https://doi.org/10.12989/sem.2011.39.1.001. 
  83. Cho, H. (2018), "three-dimensional co-rotational solid elements", Comput. Meth. Appl. Mech. Eng., 328, 301-320. https://doi.org/10.1016/j.cma.2017.08.037. 
  84. Choi, C.K. and Lee, T.Y. (2003), "4-node flat shell elements by non-conforming modes", Comput. Meth. Appl. Mech. Eng., 192(16), doi.org/10.1016/S0045-7825(03)00203-2. 
  85. Crisfield, M.A. (1984), "A quadratic Mindlin element using shear constraints", Comput. Struct., 18(5), 833-852. https://doi.org/10.1016/0045-7949(84)90030-0. 
  86. Deng, L. (2022), "two-dimensional viscoelastic beams based on the consistent corotational method", J. Comput. Nonlin. Dyn., 17(7), 071001. https://doi.org/10.1115/1.4053992. 
  87. Deng, L., Niu, M.Q., Xue, J. and Chen, L.Q. (2023), "nonlinear dynamic analysis of planar curved beams subjected to moving loads", Mech. Syst. Signal Pr., 184, 109670. https://doi.org/10.1016/j.ymssp.2022.109670. 
  88. Dvorkin, E.N. and Bathe, K.J. (1984), "A continuum mechanics based four-node shell element for general non-linear analysis", Eng. Comput., 1(1), 77-88. https://doi.org/10.1108/eb023562. 
  89. Felippa, C.A. and Haugen, B. (2005), "A unified formulation of small-strain corotational finite elements: I. Theory", Comput. Meth. Appl. Mech. Eng., 194(21-24), 2285-2335. https://doi.org/10.1016/j.cma.2004.07.035. 
  90. Guang, Y., Zhao Zuozhou, Q.J. and Xu, L. (2014), "Experimental study on seismic behavior of a new type of concrete filled steel tube composite shear walls", Build. Struct., 44(7), 93-98. 
  91. Hsiao, F. (2003), "H∞ control via T-S fuzzy models for nonlinear time-delay systems", Int. J. Artif. Intell. Tool., 12(2), 117-137. https://doi.org/10.1142/S0218213003001174. 
  92. Hsiao, F. (2005), "Application and robustness design of fuzzy controller for resonant and chaotic systems with external disturbance", Int. J. Uncertain. Fuzz. Knowl. Bas. Syst., 13(3), 281-295. https://doi.org/10.1142/S0218488505003461. 
  93. Hsiao, F. (2005), "Fuzzy control for nonlinear systems via neural-network based approach", Int. J. Comput. Meth. Eng. Sci. Mech., 6, 145-152. org/10.1080/15502280590923612. 
  94. Hsiao, F. (2005), "Fuzzy controllers for nonlinear interconnected tmd systems with external force", J. Chin. Inst. Eng., 28(1), 175-181. https://doi.org/10.1080/02533839.2005.9670984. 
  95. Hsiao, F., Chen, C. and Tsai, K. (2005), "Stability conditions of fuzzy systems and its application to structural and mechanical systems", Adv. Eng. Softw., 37, 624-629. https://doi.org/10.1016/j.advengsoft.2005.12.002. 
  96. Hsiao, F., Chiang, W. and Chen, C. (2004), "Stability analysis of T-S fuzzy models for nonlinear multiple time-delay interconnected systems", Math. Comput. Simul., 66, 523-537. https://doi.org/10.1016/j.matcom.2004.04.001. 
  97. Hsiao, F.H., Chen, C.W., Liang, Y.W., Xu, S.D. and Chiang, W.L. (2005), "TS fuzzy controllers for nonlinear interconnected systems with multiple time delays", IEEE Trans. Circuit. Syst. I: Regul. Paper., 52(9), 1883-1893. https://doi.org/10.1109/TCSI.2005.852492. 
  98. Hsiao, F.H., Hwang, J.D., Chen, C.W. and Tsai, Z.R. (2005), "Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control", IEEE Trans. Fuzzy Syst., 13, 152-163. https://doi.org/10.1109/TFUZZ.2004.836067. 
  99. Hsieh, T. (2006), "regression model and its application to construction management", Int. J. Artif. Intel. Tool., 15, 131-142. https://doi.org/10.1142/S021821300600259X. 
  100. Hsieh, T.Y., Wang, M.H.L. and Chen, C.W. (2004), "Regression method to project control of construction management via TS fuzzy model", J. Marine Sci. Technol., 12(3), 209-216. https://doi.org/10.51400/2709-6998.2241. 
  101. Hsu, W.K. (2011), "An integrated flood risk assessment model for property insurance industry in Taiwan", Nat. Hazard., 58, 1295-1309. https://doi.org/10.1007/s11069-011-9732-9. 
  102. Hsu, W.K. (2012), "Risk and uncertainty analysis in the planning stages of a risk decision-making process", Nat. Hazard., 61, 1355-1365. https://doi.org/10.1007/s11069-011-0032-1. 
  103. Hsu, W.K. (2013), "A probabilistic approach for earthquake risk assessment based on an engineering insurance portfolio", Nat. Hazard., 65, 1559-1571. https://doi.org/10.1007/s11069-012-0425-9. 
  104. Hsu, W.K. (2013), "Earthquake risk assessment and optimal risk management strategies for hi-tech fabs in Taiwan", Nat. Hazard., 65, 2063-2076. https://doi.org/10.1007/s11069-012-0462-4. 
  105. Hsu, W.K. (2014), "A case study of damage detection in four-bays steel structures using the HHT approach", Smart Struct. Syst., 14(4), 595-615. https://doi.org/10.12989/sss.2014.14.4.595. 
  106. Hung, C.C. (2019), "Optimal fuzzy design of Chua's circuit system", Int. J. Innov. Comput., Inform. Control, 15(6), 2355-2366. https://doi.org/10.24507/ijicic.15.06.2355. 
  107. Kuan, F.Y., Ho, Y.P., Wang, R.Y. and Chen, C.W. (2013), "Using RPC Block Adjustment models for the accuracy of environmental research, cartography and geomarketing: A new concept of cartography", Stochast. Environ. Res. Risk Assess., 27, 1315-1331. https://doi.org/10.1007/s00477-012-0668-8. 
  108. Kuo, H.M. and Chen, C.W. (2011), "Application of quality function deployment to improve the quality of Internet shopping website interface design", Int. J. Innov. Comput., Inform. Control, 7(1), 253-268. 
  109. Kuo, H.M., Chen, C.W. and Chen, C.W. (2011), "A study of merchandise information and interface design on B2C websites", J. Marine Sci. Technol., 19(1), 3. https://doi.org/10.51400/2709-6998.2133. 
  110. Lee, W.I., Chen, C.W., Chen, K.H., Chen, T.H. and Liu, C.C. (2012), "A comparative study on the forecast of fresh food sales using logistic regression, moving average and BPNN methods", J. Marine Sci. Technol., 20(2), 4. https://doi.org/10.51400/2709-6998.1832. 
  111. Li, W., Yu-qiu, L.O.N.G. and Zhi-fei, L.O.N.G. (2010), "Quadrilateral thin plate elements formulated by the area coordinate method and the shape function spectrum method", Eng. Mech., 27(8), 1-6. 
  112. Lin, C. (2009), "RBF neural networks using a linear regression technique", Exp. Syst. Appl., 36, 12049-12053. https://doi.org/10.1016/j.eswa.2009.03.012. 
  113. Lin, C.W., Chen, C.W., Hsu, W.K., Chen, C.Y., Tsai, C.H., Hung, Y.P. and Chiang, W.L. (2013), "Application of a feature-based approach to debris flow detection by numerical simulation", Nat. Hazard., 67, 783-796. https://doi.org/10.1007/s11069-013-0605-2. 
  114. Lin, C.W., Chen, K.W., Chen, S.C., Chen, C.W. and Hung, Y.P. (2015), "Large-area, multilayered, and high-resolution visual monitoring using a dual-camera system", ACM Trans. Multim. Comput., Commun. Appl., 11(2), 1-23. https://doi.org/10.1145/2645862. 
  115. Lin, C.W., Hung, Y.P., Hsu, W.K., Chiang, W.L. and Chen, C.W. (2013), "The construction of a high-resolution visual monitoring for hazard analysis", Nat. Hazard., 65, 1285-1292. https://doi.org/10.1007/s11069-012-0409-9. 
  116. Lin, J. (2010), "control to nonlinear structural systems with time delay: An LMI method", J. Vib. Control, 16, 1651-1672. https://doi.org/10.1177/1077546309104185. 
  117. Lin, J. (2010), "Fuzzy control for an oceanic structure: A case study in time-delay TLP system", J. Vib. Control, 16, 147-160. https://doi.org/10.1177/1077546309339424. 
  118. Lin, J. (2010), "Stability analysis of an oceanic structure using the Lyapunov method", Eng. Comput., 27, 186-204. https://doi.org/10.1108/02644401011022364. 
  119. Lin, J.W. (2012), "Fuzzy statistical refinement for the forecasting of tenders for roadway construction", J. Marine Sci. Technol., 20(4), 9. https://doi.org/10.6119/JMST-011-0318-1. 
  120. Lin, J.W. (2012), "Potential hazard analysis and risk assessment of debris flow by fuzzy modeling", Nat. Hazard., 64, 273-282. https://doi.org/10.1007/s11069-012-0236-z 
  121. Lin, J.W. (2013), "A novel regression prediction model for structural engineering applications", Struct. Eng. Mech., 45(5), 693-702. https://doi.org/10.12989/sem.2013.45.5.693. 
  122. Lin, J.W., Chen, C.W. and Chung, S.H. (2012), "Modeling and assessment of bridge structure for seismic hazard prevention", Nat. Hazard., 61(3), 1115. https://doi.org/10.1007/s11069-011-9969-3. 
  123. Lin, J.W., Chen, C.W. and Peng, C.Y. (2012), "Kalman filter decision systems for debris flow hazard assessment", Nat. Hazard., 60(3), 1255-1266. https://doi.org/10.1007/s11069-011-9907-4. 
  124. Lin, M.L. and Chen, C.W. (2010), "Application of fuzzy models for the monitoring of ecologically sensitive ecosystems in a dynamic semi-arid landscape from satellite imagery", Eng. Comput., 27, 5-19. https://doi.org/10.1108/02644401011008504. 
  125. Lin, M.L. and Chen, C.W. (2011), "Using GIS-based spatial geocomputation from remotely sensed data for drought risk-sensitive assessment", Int. J. Innov. Comput., Inform. Control, 7(2), 657-668. 
  126. Lin, M.L., Chen, C.W., Wang, Q.B., Cao, Y., Shih, J.Y., Lee, Y.T., ... & Wang, S. (2009), "monitoring of desertification using MODIS satellite imagery", Eng. Comput., 26, 745-760. https://doi.org/10.1108/02644400910985152. 
  127. Liu, C.C. (2013), "Application of multi-scale remote sensing imagery to detection and hazard analysis", Nat. Hazard., 65, 2241-2252. https://doi.org/10.1007/s11069-012-0472-2. 
  128. Liu, C.C. (2013), "Emergency responses to natural disasters using Formosat-2 high-spatiotemporal-resolution imagery: Forest fires", Nat. Hazard., 66, 1037-1057. https://doi.org/10.1007/s11069-012-0535-4. 
  129. Liu, K.F., Hsu, C.Y., Yeh, K. and Chen, C.W. (2011), "Hierarchical analytic network process and its application in environmental impact evaluation", Civil Eng. Environ. Syst., 28(1), 1-18. https://doi.org/10.1080/10286600903215078. 
  130. Liu, K.F.R., Chen, C.W. and Shen, Y.S. (2013), "Bayesian belief networks to support health risk assessment for sewer workers", Int. J. Environ. Sci. Technol., 10, 385-394. https://doi.org/10.1007/s13762-012-0136-5. 
  131. Liu, K.F.R., Ko, C.Y., Fan, C. and Chen, C.W. (2012), "Combining risk assessment, life cycle assessment, and multi-criteria decision analysis to estimate environmental aspects in environmental management system", Int. J. Life Cycle Assess., 17, 845-862. https://doi.org/10.1007/s11367-012-0407-x. 
  132. Liu, K.F.R., Ko, C.Y., Fan, C. and Chen, C.W. (2013), "Incorporating the LCIA concept into fuzzy risk assessment as a tool for environmental impact assessment", Stochast. Environ. Res. Risk Assess., 27, 849-866. https://doi.org/10.1007/s00477-012-0621-x. 
  133. Liu, K.F.R., Kuo, J.Y., Yeh, K., Chen, C.W., Liang, H.H. and Sun, Y.H. (2015), "Using fuzzy logic to generate conditional probabilities in Bayesian belief networks: A case study of ecological assessment", Int. J. Environ. Sci. Technol., 12, 871-884. https://doi.org/10.1007/s13762-013-0459-x. 
  134. Liu, K.F.R., Liang, H.H., Chen, C.W., Chen, J.S. and Shen, Y.S. (2012), "Significance criteria to predict the result of an environmental impact assessment review", J. Environ. Inform., 19(2), 93-107. 
  135. Liu, K.F.R., Liang, H.H., Yeh, K. and Chen, C.W. (2009), "A qualitative decision support for environmental impact assessment using fuzzy logic", J. Environ. Inform., 13(2), 93-103.  https://doi.org/10.3808/jei.200900144
  136. Liu, K.F.R., Lu, C.F., Chen, C.W. and Shen, Y.S. (2012), "Applying Bayesian belief networks to health risk assessment", Stochast. Environ. Res. Risk Assess., 3(26), 451-465. https://doi.org/10.1007/s00477-011-0470-z. 
  137. Liu, K.F.R., Yeh, K., Hung, M.J., Chen, C.W. and Shen, Y.S. (2015), "Health risk analysis of indoor air pollution", Int. J. Environ. Sci. Develop., 6(6), 464. 
  138. Lu, L.T., Chiang, W.L., Tang, J.P., Liu, M.Y. and Chen, C.W. (2003), "Active control for a benchmark building under wind excitations", J. Wind Eng. Indus. Aerodyn., 91(4), 469-493. https://doi.org/10.1016/S0167-6105(02)00431-2. 
  139. Qian, J., Jiang, Z. and Ji, X. (2012), "Behavior of steel tube-reinforced concrete composite walls subjected to high axial force and cyclic loading", Eng. Struct., 36, 173-84.  https://doi.org/10.1016/j.engstruct.2011.10.026
  140. Qian, J.R., Wei, Y., Zhao, Z.Z., Cai, Y., Yu, Y. and Shen, L. (2008), "Experimental study on seismic behavior of SRC shear walls with high axial force ratio", J. Build. Struct., 29(2), 43-50. 
  141. Qin, Y., Chen, X., Xi, W., Zhu, X. and Chen, Y. (2020), "Behaviorof L-shaped double-skin composite walls under compressionand biaxial bending", Steel Compos. Struct., 37(4), 405-418. https://doi.org/10.12989/scs.2020.37.4.405. 
  142. Rankin, C.C. and Brogan, F.A. (1986), "An element independent corotational procedure for the treatment of large rotations", J. Press. Vess. Technol. Trans. ASME, 108(2), 165-174. https://doi.org/10.1115/1.3264765. 
  143. Rankin, C.C. and Nour-Omid, B. (1988), "The use of projectors to improve finite-element performance", Comput. Struct., 30(1-2), 257-267. https://doi.org/10.1016/0045-7949(88)90231-3. 
  144. Razzaque, A. (1973), "bending elements with derivative smoothing", Int. J. Numer. Meth. Eng., 6(3), 333-343. https://doi.org/10.1002/nme.1620060305. 
  145. Reissner, E. (1945), "The effect of transverse shear deformation on the bending of elastic plates", J. Appl. Mech., 12(2), 69-77. https://doi.org/10.1115/1.4009435. 
  146. Sadeghi, K. (2019), "RC columns using fixed rectangular finite elements discretization", Comput. Concrete, 23(1), 25-36. https://doi.org/10.12989/cac.2019.23.1.025. 
  147. Shen, C.W. (2011), "A fuzzy AHP-based fault diagnosis for semiconductor lithography process", Int. J. Innov. Comput., Inform. Control, 7(2), 805-816. 
  148. Shih, B.Y., Chen, C.W., Chen, C.Y. and Lo, T.W. (2012), "Merged search algorithms for radio frequency identification anticollision", Math. Prob. Eng., 2012, Article ID 609035. https://doi.org/10.1155/2012/609035. 
  149. Su, D.T., Lo, D.C., Chen, C.W. and Huang, Y.C. (2013), "The integration of nautical charts to reconstruct 3D harbor area models and apply assisted navigation", Nat. Hazard., 66, 1135-1151. https://doi.org/10.1007/s11069-012-0516-7. 
  150. Sze, K.Y., Liu, X.H. and Lo, S.H. (2004), "Popular benchmark problems for geometric nonlinear analysis of shells", Finite Elem. Anal. Des., 40(11), 1551-1569. https://doi.org/10.1016/j.finel.2003.11.001. 
  151. Taucer, F. (1991), "Response analysis of reinforced concrete structures", Report UCB/EERC-91/17, Earthquake Engineering Research Center, University at Berkeley. 
  152. Teng, S. and Chandra, J. (2016), "Cyclic shear behavior of highstrength concrete structural walls", ACI Struct. J., 113(6), 1335-1345. https://doi.org/10.14359 /51689158.  https://doi.org/10.14359/51689158
  153. Tim, C. and Chen, C. (2020), "fuzzy algorithm for nonlinear discrete-time systems", Trans. Inst. Measure. Control, 42(7), 1358-1374. https://doi.org/10.1177/0142331219891383. 
  154. Tim, C. and Chen, C. (2021), "Evolved auxiliary controller with applications to aerospace", Aircraft Eng. Aerosp. Technol., 93(4), 529-543. https://doi.org/10.1108/AEAT-12-2019-0233 
  155. Tim, C. and Chen, C.Y.J. (2019), "Meteorological tidal predictions in the mekong estuary using an evolved ANN time series", Marine Technol. Soc. J., 53(6), 27-34. https://doi.org/10.4031/MTSJ.53.6.3. 
  156. Tim, C. and Chen, J.C. (2019), "C-Means robust algorithm for continuous systems", Aircraft Eng. Aerosp. Technol., 92(2), 222-228. https://doi.org/10.1108/AEAT-04-2019-0082. 
  157. Tong, X., Hajjar, J.F., Schultz, A.E. and Shield, C.K. (2005), "Cyclic behavior of steel frame structures with composite reinforced concrete infill walls and partially-restrained connections", J. Constr. Steel Res., 61, 531-52. https://doi.org/10.1016/j.jcsr.2004.10.002. 
  158. Traff, E.A., Sigmund, O. and Aage, N. (2021), "Topology optimization of ultra high resolution shell structures", Thin Wall. Struct., 160, 107349. https://doi.org/10.1016/j.tws.2020.107349. 
  159. Tsai, C.H. and Chen, C.W. (2011), "Disaster management in the hotel industry-A case study of the Hualien Area", Scandinavian J. Hospital. Tourism, 11(3), 324-341. https://doi.org/10.1016/j.tws.2020.107349. 
  160. Tsai, C.H., Chen, C.W., Chiang, W.L. and Lin, M.L. (2008), "Application of geographic information system to the allocation of disaster shelters via fuzzy models", Eng. Comput., 25(1), 86-100. https://doi.org/10.1108/02644400810841431. 
  161. Tsai, P.W. (2012), "A novel strategy to determine the insurance and risk control plan for natural disaster risk management.", Nat. Hazard., 64, 1391-1403. https://doi.org/10.1007/s11069-012-0305-3. 
  162. Tsai, P.W. (2015), "Structural system simulation and control via NN based fuzzy model", Struct. Eng. Mech., 56(3), 385-407. https://doi.org/10.12989/sem.2015.56.3.385. 
  163. Tsai, P.W. and Chen, C.W. (2014), "A novel criterion for nonlinear time-delay systems using LMI fuzzy Lyapunov method", Appl. Soft Comput., 25, 461-472. https://doi.org/10.1016/j.asoc.2014.08.045. 
  164. Tsai, P.W., Alsaedi, A., Hayat, T. and Chen, C.W. (2016), "A novel control algorithm for interaction between surface waves and a permeable floating structure", China Ocean Eng., 30, 161-176.  https://doi.org/10.1007/s13344-016-0009-7
  165. Tseng, C.P. and Chen, C. W. (2012), "Natural disaster management mechanisms for probabilistic earthquake loss", Nat. Hazard., 60, 1055-1063. https://doi.org/10.1007/s11069-011-9889-2. 
  166. Tseng, C.P., Chen, C.W. and Tu, Y.P. (2011), "A new viewpoint on risk control decision models for natural disasters", Nat. Hazard., 59, 1715-1733. https://doi.org/10.1007/s11069-011-9861-1. 
  167. Wang, L. (2016), "Element for large deformation simulation and application in opensees", Eng. Mech., 33(3), 47-54. https://doi.org/10.6052/j.issn.1000- 4750.2015.03.0173. 
  168. Wang, R., Zhen, C., Meng, Y.Z., Fu, Q. and Chen, T. (2021), "Smart structural control and analysis for earthquake", Struct. Eng. Mech., 79(2), 131-139. https://doi.org/10.12989/sem.2021.79.2.131. 
  169. Wong, F.T., Richard, A. and Katili, I. (2017), "DKMQ element for buckling analysis of shear-deformable plate bending", Procedia Eng., 171, 805-812. https://doi.org/10.1016/j.proeng.2017.01.368. 
  170. Wu, J. and Chang, F. (2011), "Aerodynamic parameters of across-wind self-limiting vibration for square sections after lock-in in smooth flow", J. Sound Vib., 330(17), 4328-4339. https://doi.org/10.1016/j.jsv.2011.04.026. 
  171. Xu, G., Wang, Z., Wu, B., Bursi, O.S., Tan, X., Yang, Q. and Wen, L. (2017), "Seismic performance of precast shear wall with sleeves connection based on experimental and numerical studies", Eng. Struct., 150, 346-358. https://doi.org/10.1016/j.engstruct.2017.06.026. 
  172. Xu, Y. and Long, Y. (1993), "Quadrilateral membrane element with vertex rotational freedom from generalized compatible condition", Eng. Mech., 10(3), 27-36. 
  173. Yang, H.C., Chen, T.H., Chen, C.W., Chen, C.Y. and Liu, C.T. (2008), "Accuracy evaluation of a diagnostic test by detecting outliers and influential observations", China Ocean Eng., 22, 421-429. 
  174. Yang, H.C.P., Alex, K.H.C. and Chen, T.H. (2008), "Evaluation of inference adequacy in cumulative logistic regression models: sn empirical validation of ISW-ridge relationships", China Ocean Eng., 1, 5. 
  175. Yang, H.C.P., Chen, C.Y., Chen, C.W. and Chen, T.H. (2008), "Estimation on internal wave reflection in a two-layer fluid system by cumulative logistic regression model", J. Marine Sci. Technol., 16(1), 6. 
  176. Yeh, K. and Chen, C.W. (2010), "Stability analysis of interconnected fuzzy systems using the fuzzy Lyapunov method", Math. Prob. Eng., 2010, Article ID 734340. https://doi.org/10.1155/2010/734340. 
  177. Yoon, K. and Lee, P.S. (2014), "Nonlinear performance of continuum mechanics based beam elements focusing on large twisting behaviors", Comput. Meth. Appl. Mech. Eng., 281, 106-130. https://doi.org/10.1016/j.cma.2014.07.023. 
  178. Younas, S., Li, D., Hamed, E. and Uy, B. (2021), "Behaviour of high strength concrete-filled short steel tubes under sustained loading", Steel Compos. Struct., 39(2), 159-170. https://doi.org/10.12989/scs.2021.39.2.159. 
  179. Zhang, Y.X., Bradford, M.A. and Gilbert, R.I. (2007), "A layered shear-flexural plate/shell element using Timoshenko beam functions for nonlinear analysis of reinforced concrete plates", Finite Elem. Anal. Des., 43(11-12), 888-900. http://doi.org/10.1016/j.finel.2007.05.002. 
  180. Zhen, C.Y. (2020), "LQG modeling and GA control of structures subjected to earthquakes", Earthq. Struct., 22(4), 421-430. https://doi.org/10.12989/eas.2022.22.4.421. 
  181. Zhen, C.Y. (2020), "Fuzzy neural network controller of interconnected method for civil structures", Adv. Concrete Constr., 13(5), 385-394. https://doi.org/10.12989/acc.2022.13.5.385. 
  182. Zhen, C.Y. (2020), "NNDI decentralized evolved intelligent stabilization of large-scale systems", Smart Struct. Syst., 30(1), 1-15. https://doi.org/10.12989/sss.2022.30.1.001. 
  183. Zhen, C.Y. (2020), "Intelligent algorithm and optimum design of fuzzy theory for structural control", Smart Struct. Syst., 30(5), 537-544. https://doi.org/10.12989/sss.2022.30.5.537.