Coupled systems mechanics

  • 제9권1호
  • /
  • Pages.47-62
  • /
  • 2020
  • /
  • 2234-2184(pISSN)
  • /
  • 2234-2192(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Instability phenomena and their control in statics and dynamics: Application to deep and shallow truss and frame structures

  • 투고 : 2019.07.09
  • 심사 : 2020.01.13
  • 발행 : 2020.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we study the control for nonlinear geometric instability problem of a deep or a shallow truss or yet a frame structure. All the structural models are built with geometrically exact truss and beam finite elements.The proposed models can successfully handle large overall motion under static or dynamic conservative load.The control strategy considers adding a damping from either friction device or viscous damper.This kind of control belong to well-known concept of passivity. Different examples are presented in order to illustrate the proposed theoretical developments.

키워드

과제정보

연구 과제 주관 기관 : FEDER

참고문헌

  1. Abolfazl, J.N., Gholamreza, S.J. and Reza, K. (2018), "Vibration and instability of nanocomposite pipes conveying fluid mixed by nanoparticles resting on viscoelastic foundation", Comput. Concrete, 21, 569-582. https://doi.org/10.12989/cac.2018.21.5.569.
  2. Argyris, J.H. and Symeonidis, S. (1981), "Nonlinear finite element analysis of elastic systems under nonconservative loading-Natural formulation. Part I. Quasistatic problems", Comput. Meth. Appl. Mech. Eng., 26(l), 75-124. https://doi.org/10.1016/0045-7825(81)90131-6.
  3. Bolotin, V.V. (1963), Fundamentals of Structural Stability, Pergamon.
  4. Brogliato B., Lozano, R., Maschke, B. and Egeland, O. (2008), Dissipative Systems Analysis and Control, Springer Series in Communications and Control Engineering.
  5. Chapra, S.C. and Canale, R.P. (2015), Numerical Methods for Engineers, McGraw-Hill.
  6. Chen, W.F. and Lui, E.M. (1987), Structural Stability, Elsevier
  7. Clough, R.W. and Penzien, J. (1993), Dynamics of Structures, McGraw-Hill.
  8. El Houcine, M., Mamouri, S. and Ibrahimbegovic, A. (2018), "A controlled destruction and progressive collapse of 2D reinforced concrete frame", Coupl. Syst. Mech., 7, 111-139. https://doi.org/10.12989/csm.2018.7.2.111.
  9. Guerrero-Sanchez, M.E., Abaunza, H., Castillo, P., Lozano, R., Garcia-Beltran, C. and Rodriguez-Palacios, A. (2016), "Passivity-based control for a micro air vehicle using unit quaternions", Appl. Sci., 7(1), 13. https://doi.org/10.3390/app7010013.
  10. Hemat, A.E., Mehran, K. and Morteza, A. (2018), "Dynamic instability response in nanocomposite pipes conveying pulsating ferrofluid flow considering structural damping effects", Struct. Eng. Mech., 68(3), 359-368. https://doi.org/10.12989/sem.2018.68.3.359.
  11. Ibrahimbegovic, A. (1995), "On finite element implementation of geometrically nonlinear Reissner's beam theory: three-dimensional curved beam elements", Comput. Meth. Appl. Mech. Eng., 122, 11-26. https://doi.org/10.1016/0045-7825(95)00724-F.
  12. Ibrahimbegovic, A. (1997), "On the choice of finite rotation parameters", Comput. Meth. Appl. Mech. Eng., 149, 49-71. https://doi.org/10.1016/S0045-7825(97)00059-5
  13. Ibrahimbegovic, A. (2009), Nonlinear Solid Mechanics, Spriger.
  14. Ibrahimbegovic, A. and Boujelben, A. (2018), "Long-term simulation of wind turbine structure for distributed loading describing long-term wind loads for preliminary design", Coupl. Syst. Mech., 7, 233-254. https://doi.org/10.12989/csm.2018.7.2.233.
  15. Ibrahimbegovic, A. and Frey, F. (1993), "Finite element analysis of linear and elastic initially curved beams non-linear planar deformations", Int. J. Numer. Meth. Eng., 36, 3239-3258. https://doi.org/10.1002/nme.1620361903.
  16. Ibrahimbegovic, A. and Taylor, R.L. (2002), "On the role of frame-invariance in structural mechanics models at finite rotations", Comput. Meth. Appl. Mech. Eng., 191, 5159-5176. https://doi.org/10.1016/S0045-7825(02)00442-5.
  17. Ibrahimbegovic, A., Hajdo, E. and Dolarevic, S. (2013), "Linear instability or buckling problems for mechanical and coupled thermomechanical extreme conditions", Coupl. Syst. Mech., 2(4), 349-374. https://doi.org/10.12989/csm.2013.2.4.349.
  18. Imamovic, I., Ibrahimbegovic, A. and Mesic, E. (2018), "Coupled testing-modeling approach to ulitmate state computation of steel structures with connections for statics and dynamics", Coupl. Syst. Mech., 7, 555-581. https://doi.org/10.12989/csm.2018.7.5.555.
  19. Inman, D.J. (2006), Vibration with Control, John Wiley Sons.
  20. Inman, D.J. (2014), Engineering Vibration, Pearson Education.
  21. Lozano R., Brogliato, B., Maschke, B. and Egeland, O. (2008), "Passivity-based control system analysis and design", Springer Series in Communications and Control Engineering.
  22. Lozano, R. and Brogliato, B. (1992), "Adaptive control of robot manipulators with flexible joints", IEEE Tran. Auto. Control, 174-181.
  23. Machado, L.G., Lagoudas, D.C. and Savi, M.A. (2009), "Lyapunov exponents estimation for hysteretic systems", Int. J. Solid. Struct., 46(6), 1269-1286. https://doi.org/10.1016/j.ijsolstr.2008.09.013.
  24. Mamouri, S. and Ibrahimbegovic, A. (1999), "Nonlinear dynamics of flexible beams in planar motion: formulation and time-stepping scheme for stiff problems", Comput. Struct., 70, 1-22. https://doi.org/10.1016/S0045-7949(98)00150-3.
  25. Mamouri, S., Mourid, E. and Ibrahimbegovic, A. (2015), "Study of geometric nonlinear instability of 2D frame structures", Eur. J. Comput. Mech., 24, 246-258. https://doi.org/10.1080/17797179.2016.1181028.
  26. Mohammad, A., Mahmoud, P. and Ali, G.A. (2019), "Dynamic instability region analysis of sandwich piezoelectric nano-beam with FG-CNTRCs face-sheets based on various high-order shear deformation and nonlocal strain gradient theory", Steel Compos. Struct., 32(2), 157-171. https://doi.org/10.12989/scs.2019.32.2.151.
  27. Oliveira, H., De Paula, A.S. and Savi, M.A. (2017), "Study of geometric nonlinear instability of 2D frame structures", J. Comput. Mech., 24(6), 256-278. https://doi.org/10.1080/17797179.2016.1181028.
  28. Rajesh, K., Tanish, D. and Sarat, K.P. (2019), "Instability and vibration analyses of FG cylindrical panels under parabolic axial compressions", Steel Compos. Struct., 31(2), 187-199. https://doi.org/10.12989/scs.2019.31.2.187.
  29. Simitses, G.J. and Hodges, D.H. (2006), Fundamentals of Structural Stability, Elsevier.
  30. Sofiyev, A.H., Zerin, Z., Allahverdiev, B.P., Hui, D., Turan, F. and Erdem, H. (2017), "The dynamic Instability of FG orthotropic conical shells within the SDT", Steel Compos. Struct., 25(5), 581-591. https://doi.org/10.12989/scs.2017.25.5.581.
  31. Xu, Y.P., Zheng, Z.L., Liu, C.J., Wu, K. and Song, W.J. (2018), "Aerodynamic stability analysis of geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid in sag direction", Wind Struct., 26(6), 355-367. https://doi.org/10.12989/was.2018.26.6.355.

피인용 문헌

  1. Linearized instability analysis of frame structures under nonconservative loads: Static and dynamic approach vol.10, pp.1, 2020, https://doi.org/10.12989/csm.2021.10.1.079