Steel and Composite Structures

  • 제21권1호
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  • Pages.217-247
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  • 2016
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Parametric modeling and shape optimization design of five extended cylindrical reticulated shells

  • Wu, J. (Geotechnical and Structural Engineering Research Center, Shandong University) ;
  • Lu, X.Y. (Institute of Engineering Mechanics, Shandong Jianzhu University) ;
  • Li, S.C. (Geotechnical and Structural Engineering Research Center, Shandong University) ;
  • Xu, Z.H. (Geotechnical and Structural Engineering Research Center, Shandong University) ;
  • Wang, Z.D. (Shantui Construction Machinery co., Ltd.) ;
  • Li, L.P. (Geotechnical and Structural Engineering Research Center, Shandong University) ;
  • Xue, Y.G. (Geotechnical and Structural Engineering Research Center, Shandong University)
  • 투고 : 2015.03.21
  • 심사 : 2016.03.13
  • 발행 : 2016.05.20
⟨ 이전 논문 다음 논문 ⟩

초록

Five extended cylindrical reticulated shells are proposed by changing distribution rule of diagonal rods based on three fundamental types. Modeling programs for fundamental types and extended types of cylindrical reticulated shell are compiled by using the ANSYS Parametric Design Language (APDL). On this basis, conditional formulas are derived when the grid shape of cylindrical reticulated shells is equilateral triangle. Internal force analysis of cylindrical reticulated shells is carried out. The variation and distribution regularities of maximum displacement and stress are studied. A shape optimization program is proposed by adopting the sequence two-stage algorithm (RDQA) in FORTRAN environment based on the characteristics of cylindrical reticulated shells and the ideas of discrete variable optimization design. Shape optimization is achieved by considering the objective function of the minimum total steel consumption, global and locality constraints. The shape optimization for three fundamental types and five extended types is calculated with the span of 30 m~80 m and rise-span ratio of 1/7~1/3. The variations of the total steel consumption along with the span and rise-span ratio are analyzed with contrast to the results of shape optimization. The optimal combination of main design parameters for five extended cylindrical reticulated shells is investigated. The total steel consumption affected by distribution rule of diagonal rods is discussed. The results show that: (1) Parametric modeling method is simple, efficient and practical, which can quickly generate different types of cylindrical reticulated shells. (2) The mechanical properties of five extended cylindrical reticulated shells are better than their fundamental types. (3) The total steel consumption of cylindrical reticulated shells is optimized to be the least when rise-span ratio is 1/6. (4) The extended type of three-way grid cylindrical reticulated shell should be preferentially adopted in practical engineering. (5) The grid shape of reticulated shells should be designed to equilateral triangle as much as possible because of its reasonable stress and the lowest total steel consumption.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China, China Postdoctoral Science Foundation

참고문헌

  1. Allaire, G., Jouve, F. and Toader, A.M. (2002), "A level-set method for shape optimization", Comptes Rendus Mathematique, 334(12), 1125-1130. https://doi.org/10.1016/S1631-073X(02)02412-3
  2. Chen, L.Z. (1989), The Optimal Method of Discrete Variable-Principle and Application, China Machine Press, Beijing, China.
  3. Chen, Z.H. and Liu, H.B. (2009), APDL Parametric Calculation and Analysis, China Water Power Press, Beijing, China.
  4. Deng, H. and Dong, S.L. (1999), "Shape optimization of spatial reticulated shell structures", J. Zhejiang Univ. (Engineering Science), 33(4), 371-375.
  5. Dietl, J.M. and Garcia, E. (2010), "Beam shape optimization for power harvesting", J. Intell. Mater. Syst. Struct.
  6. Dong, S.L. and Yao, J. (2003), "Future and prospects of reticulated shells", Spatial structure, 9(1), 31-34.
  7. Durgun, I., and Yildiz, A.R. (2012), "Structural design optimization of vehicle components using cuckoo search algorithm", Mater. Test., 54(3), 185-188. https://doi.org/10.3139/120.110317
  8. Emmanuel, N.P., Padmanaban, K.P. and Vasudevan, D. (2014), "Buckling optimization of laminated composite plate with elliptical cutout using ANN and GA", Struct. Eng. Mech., Int. J., 52(4), 815-827. https://doi.org/10.12989/sem.2014.52.4.815
  9. Eschenauer, H.A., Kobelev, V.V. and Schumacher, A. (1994), "Bubble method for topology and shape optimization of structures", Struct. Optimiz., 8(1), 42-51. https://doi.org/10.1007/BF01742933
  10. Gong, S.G. and Xie, G.L. (2010), ANSYS Parametric Programming and Command Manual, China Machine Press, Beijing, China.
  11. He, Y.J., Qi, D.L. and Dong, S.L. (2001), "Application of chaos optimization algorithm in the optimization of double-layer cylindrical latticed shell", J. China Coal Soc., 26 (6), 663-666.
  12. He, Y.J., Qi, D.L. and Dong, S.L. (2002), "Application of genetic algorithm in the optimization of doublelayer cylindrical latticed shell", J. China Coal Soc., 26(6), 663-666.
  13. Jenkins, W.M. (1991b), "Towards structural optimization via the genetic algorithm", Comput. Struct., 40(5), 1321-1327. https://doi.org/10.1016/0045-7949(91)90402-8
  14. Jenkins, W.M. (1991a), "Structural optimization with the genetic algorithm", The Struct. Eng., 69(24), 418-422.
  15. Jenkins, W.M. (1997), "On the application of natural algorithms to structural design optimization", Eng. Struct., 19(4), 302-308. https://doi.org/10.1016/S0141-0296(96)00074-0
  16. JGJ7 (2010), Technology Procedures of Space Grid Structures, China Building Industry Press, Beijing, China.
  17. Kaveh, A. and Ahmadi, B. (2014), "Sizing, geometry and topology optimization of trusses using force method and supervised charged system search", Struct. Eng. Mech., Int. J., 50(3), 365-382. https://doi.org/10.12989/sem.2014.50.3.365
  18. Kaveh, A. and Khayatazad, M. (2013), "Ray optimization for size and shape optimization of truss structures", Comput. Struct., 117, 82-94. https://doi.org/10.1016/j.compstruc.2012.12.010
  19. Kaveh, A. and Zolghadr, A. (2014), "A new PSRO algorithm for frequency constraint truss shape and size optimization", Struct. Eng. Mech., Int. J., 52(3), 445-468. https://doi.org/10.12989/sem.2014.52.3.445
  20. Levy, R., Hanaor, A. and Rizzuto, N. (1994), "Experimental investigation of prestressing in double-layer grids", Int. J. Space Struct., 9(1), 21-26. https://doi.org/10.1177/026635119400900103
  21. Lu, X.Y., Zhao, X.W. and Huang, L.L. (2012), "Shape optimizing design of kiewiti spherical reticulated shell", Adv. Mater. Res., 424, 324-329.
  22. Lu, X.Y., Zhao, X.W. and Chen, S.Y. (2013), The Optimization of Reticulated Shell Structures Based On Discrete Variables, Building Industry Press, Beijing, China.
  23. Luo, Z., Zhang, N., Gao, W. and Ma, H. (2012), "Structural shape and topology optimization using a meshless Galerkin level set method", Int. J. Numer. Method. Eng., 90(3), 369-389. https://doi.org/10.1002/nme.3325
  24. Oudjene, M., Ben-Ayed, L., Delameziere, A. and Batoz, J.L. (2009), "Shape optimization of clinching tools using the response surface methodology with Moving Least-Square approximation", J. Mater. Process. Technol., 209(1), 289-296. https://doi.org/10.1016/j.jmatprotec.2008.02.030
  25. Qian, X. (2010), "Full analytical sensitivities in NURBS based isogeometric shape optimization", Comput. Method. Appl. Mech. Eng., 199(29), 2059-2071. https://doi.org/10.1016/j.cma.2010.03.005
  26. Rajan, S.D. (1995), "Sizing, shape, and topology design optimization of trusses using genetic algorithm", J. Struct. Eng., 121(10), 1480-1487. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:10(1480)
  27. Rahami, H., Kaveh, A. and Gholipour, Y. (2008), "Sizing, geometry and topology optimization of trusses via force method and genetic algorithm", Eng. Struct., 30(9), 2360-2369. https://doi.org/10.1016/j.engstruct.2008.01.012
  28. Saka, M.P. (1991), "Optimum design of steel frames with stability constraints", Comput. Struct., 41(6), 1365-1377. https://doi.org/10.1016/0045-7949(91)90274-P
  29. Saka, M.P. and Kameshki, E.S. (1998), "Optimum design of nonlinear elastic framed domes", Adv. Eng. Software, 29(7), 519-528. https://doi.org/10.1016/S0965-9978(98)00018-0
  30. Schulz, V.H. (2014), "A riemannian view on shape optimization", Found. Comput. Math., 14(3), 483-501. https://doi.org/10.1007/s10208-014-9200-5
  31. Shang, X.J. and Qiu, F. (2005), ANSYS Structural Finite Element Senior Analysis Method and Sample Applications,China Water Power Press, Beijing, China.
  32. Shen, Z.Y. and Chen, Y.J. (1996), Grid and Lattice Shell, Tongji University Press, Shanghai, China.
  33. Sun, H.C., Chai, S. and Wang, Y.F. (2002), Structural Optimization with Discrete Variables, Dalian University of Technology Press, Dalian, China.
  34. Suzuki, K. and Kikuchi, N. (1991), "A homogenization method for shape and topology optimization", Comput. Appl. Mech. Eng., 93(3), 291-318. https://doi.org/10.1016/0045-7825(91)90245-2
  35. Thrall, A.P., Zhu, M., Guest, J.K., Paya-Zaforteza, I. and Adriaenssens, S. (2014), "Structural optimization of deploying structures composed of linkages", J. Comput. Civil Eng., 28(3), 04014010. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000272
  36. Vyzantiadou, M.A., Avdelas, A.V. and Zafiropoulos, S. (2007), "The application of fractal geometry to the design of grid or reticulated shell structures", Comput.-Aid. Des., 39(1), 51-59. https://doi.org/10.1016/j.cad.2006.09.004
  37. Wang, Z.D. (2012), "Shape optimization of five developed cylinder latticed shell", Mater Dissertation; Shandong Jianzhu University, Jinan, China.
  38. Wang, C.W. and Tang, G. (2006), "Sectional optimum design of single-layer lattice shells considering structural stability", Spatial Structure, 12(3), 31-34.
  39. Wu, W., Petrini, L., Gastaldi, D., Villa, T., Vedani, M., Lesma, E. and Migliavacca, F. (2010), "Finite element shape optimization for biodegradable magnesium alloy stents", Annals Bomed. Eng., 38(9), 2829-2840. https://doi.org/10.1007/s10439-010-0057-8
  40. Wu, J., Lu, X.Y., Li, S.C., Xu, Z.H., Li, L.P., Zhang, D.L. and Xue, Y.G. (2015a), "Parametric modeling and shape optimization of four typical Schwedler spherical reticulated shells", Struct. Eng. Mech., Int. J., 56(5), 813-833. https://doi.org/10.12989/sem.2015.56.5.813
  41. Wu, J., Lu, X.Y., Li, S.C., Zhang, D.L., Xu, Z.H., Li, L.P. and Xue, Y.G. (2015b), "Shape optimization for partial double-layer spherical reticulated shells of pyramidal system", Struct. Eng. Mech., Int. J., 55(3), 555-581. https://doi.org/10.12989/sem.2015.55.3.555
  42. Xia, Q., Shi, T., Liu, S. and Wang, M.Y. (2012), "A level set solution to the stress-based structural shape and topology optimization", Comput. Struct., 90, 55-64.
  43. Xu, J., Yang, S.S. and Diao, Y.S. (2006), "Optimized design of single-layer reticulated shell", Spatial Structure, 12(3), 35-37.
  44. Yas, M.H., Shakeri, M. and Ghasemi-Gol, M. (2007), "Two-objective stacking sequence optimization of a cylindrical shell using genetic algorithm", Scientia Iranica, 14(5), 499-506.
  45. Yildiz, A.R. (2013), "Comparison of evolutionary-based optimization algorithms for structural design optimization", Eng. Appl. Artif. Intell., 26(1), 327-333. https://doi.org/10.1016/j.engappai.2012.05.014
  46. Zhang, N.W. and Dong, S.L. (2003), "Optimum design of single-layer lattice shells considering the effect of geometrical nonlinearity", Spatial Structure, 9(1), 31-34.
  47. Zhang, B.H. and Hou, C. (1998), Optimization Design of Civil Structures, Tongji University Press, Shanghai, China.

피인용 문헌

  1. Shape Optimization and Stability Analysis for Kiewitt Spherical Reticulated Shell of Triangular Pyramid System vol.2019, pp.None, 2016, https://doi.org/10.1155/2019/2723082