An efficient algorithm for mechanical analysis of bimodular truss and tensegrity structures

International Journal of Mechanical Sciences - Tập 70 - Trang 57-68 - 2013
Lunxiang Zhang1, Qiang Gao1, H.W. Zhang1
1State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, PR China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Korkmaz, 2011, A review of active structural control: challenges for engineering informatics, Comput Struct, 89, 2113, 10.1016/j.compstruc.2011.07.010

Domer, 2005, An active structure that learns, J Comput Civil Eng, 19, 16, 10.1061/(ASCE)0887-3801(2005)19:1(16)

Ziegler, 2005, Computational aspects of structural shape control, Comput Struct, 83, 1191, 10.1016/j.compstruc.2004.08.026

Fest, 2004, Active tensegrity structure, J Struct Eng, 130, 1454, 10.1061/(ASCE)0733-9445(2004)130:10(1454)

Adam, 2008, Active tensegrity: a control framework for an adaptive civil engineering structure, Comput Struct, 86, 2215, 10.1016/j.compstruc.2008.05.006

Pugh, 1976

Motro, 2003

Sultan, 2009, Tensegrity: 60 years of art, science, and engineering, Adv Appl Mech, 43, 69, 10.1016/S0065-2156(09)43002-3

Skelton, 2009

Juan, 2008, Tensegrity frameworks: Static analysis review, Mech Mach Theory, 43, 859, 10.1016/j.mechmachtheory.2007.06.010

Tibert, 2003, Review of form-finding methods for tensegrity structures, Int, J Solids Struct, 18, 209

Moored, 2009, Investigation of clustered actuation in tensegrity structures, Int J Solids Struct, 46, 3272, 10.1016/j.ijsolstr.2009.04.026

Sultan, 2003, Deployment of tensegrity structures, Int J Solids Struct, 40, 4637, 10.1016/S0020-7683(03)00267-1

Tibert G. Deployable tensegrity structures for space applications. PhD Dissertation, Royal Institute of Technology, Stockholm; 2002.

Moored, 2007, The analysis of tensegrity structures for the design of a morphing wing, J Appl Mech, 74, 668, 10.1115/1.2424718

Luo, 2008, A multi-modular tensegrity model of an actin stress fiber, J Biomech, 41, 2379, 10.1016/j.jbiomech.2008.05.026

Stamenovic, 2006, Cellular tensegrity models and cell-substrate interactions

Pagitz, 2009, Finite element based form-finding algorithm for tensegrity structures, Int J Solids Struct, 46, 3235, 10.1016/j.ijsolstr.2009.04.018

Tran, 2010, Advanced forming-finding for cable-strut structures, Int J Solids Struct, 47, 1785, 10.1016/j.ijsolstr.2010.03.008

Xu, 2010, Form-finding of nonregular tensegrities using a genetic algorithm, Mech Res Commun, 37, 85, 10.1016/j.mechrescom.2009.09.003

Juan, 2009, Tensegrity frameworks: dynamic analysis review and open problems, Mech Mach Theory, 44, 1, 10.1016/j.mechmachtheory.2008.06.008

Murakami, 2001, Static and dynamic analyses of tensegrity structures. Part I. Nonlinear equations of motion, Int J Solids Struct, 38, 3599, 10.1016/S0020-7683(00)00232-8

Murakami, 2001, Static and dynamic analyses of tensegrity structures. Part II. Quasi-static analysis, Int J Solids Struct, 38, 3615, 10.1016/S0020-7683(00)00233-X

Djouadi, 1998, Active control of tensegrity systems, J Aerospace Eng, 11, 37, 10.1061/(ASCE)0893-1321(1998)11:2(37)

Raja, 2007, Active control of tensegrity structures under random excitation, Smart Mater Struct, 16, 809, 10.1088/0964-1726/16/3/030

Ali, 2011, Analysis of clustered tensegrity structures using a modified dynamic relaxation algorithm, Int J Solids Struct, 48, 637, 10.1016/j.ijsolstr.2010.10.029

Nineb, 2007, Domain decomposition approach for non-smooth discrete problems, example of a tensegrity structure, Comput Struct, 85, 499, 10.1016/j.compstruc.2006.08.027

Oliveto, 2011, Dynamic analysis of tensegrity structures using a complementarity framework, Comput Struct, 89, 2471, 10.1016/j.compstruc.2011.06.003

Pellegrino, 1986, Matrix analysis of statically and kinematically indeterminate frameworks, Int J Solids Struct, 22, 409, 10.1016/0020-7683(86)90014-4

He, 2007, Applying the equivalent section method to solve beam subjected to lateral force and bending-compression column with different moduli, Int J Mech Sci, 49, 919, 10.1016/j.ijmecsci.2006.11.004

Sun, 2010, A review on the research of mechanical problems with different moduli in tension and compression, J Mech Sci Technol, 24, 1845, 10.1007/s12206-010-0601-3

He, 2009, Convergence analysis of a finite element method based on different moduli in tension and compression, Int J Solids Struct, 46, 3734, 10.1016/j.ijsolstr.2009.07.003

Zhang, 2011, An efficient computational method for mechanical analysis of bimodular structures based on parametric variational principle, Comput Struct, 89, 2352, 10.1016/j.compstruc.2011.07.008

Zhang, 2012, Numerical method for dynamic analysis of 2-D bimodular structures, AIAA J, 50, 1933, 10.2514/1.J051530

Ambartsumyan, 1986

Zhong, 1997

Zhang, 2009

Zhong, 1988, A finite element method for elasto-plastic structure and contact problem by parametric quadratic programming, Int J Numer Meth Eng, 26, 2723, 10.1002/nme.1620261210

Zhang, 2005, Two aggregate-function-based algorithms for analysis of 3D frictional contact by linear complementarity problem formulation, Comput Methods Appl Mech Eng, 194, 5139, 10.1016/j.cma.2005.01.002

Zhang, 2003, A new algorithm for numerical solution of dynamic elastic–plastic hardening and softening problems, Comput Struct, 81, 1739, 10.1016/S0045-7949(03)00167-6

Ding, 2003, The modeling and numerical analysis of wrinkled membranes, Int J Numer Meth Eng, 58, 1785, 10.1002/nme.832

Wempner, 1969, Finite elements, finite rotations and small strains of flexible shells, Int J Solids Struct, 5, 117, 10.1016/0020-7683(69)90025-0

Belytschko, 1973, Nonlinear transient finite element analysis with convected coordinates, Int J Numer Meth Eng, 7, 255, 10.1002/nme.1620070304

Crisfield, 1996, A unified co-rotational framework for solids, shells and beams, Int J Solids Struct, 33, 2969, 10.1016/0020-7683(95)00252-9

Masud, 2000, A stabilized 3-D co-rotational formulation for geometrically nonlinear analysis of multi-layered composite shells, Comput Mech, 26, 1, 10.1007/s004660000144

Felippa, 2005, A unified formulation of small-strain co-rotational finite elements: I. Theory, Comput Methods Appl Mech Eng, 194, 2285, 10.1016/j.cma.2004.07.035

Battini, 2008, A non-linear corotational 4-node plane element, Mech Res Commun, 35, 408, 10.1016/j.mechrescom.2008.03.002

Crisfield MA. Nonlinear finite element analysis of solids and structures. In: Essentials, vol. 1. Chichester: Wiley; 1997.

Bathe, 1996