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Geometrical nonlinear elasto-plastic analysis of tensegrity systems via the co-rotational method |
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| Affiliation: | 1. College of Civil Engineering, University of Shaoxing, Shaoxing 312000, China,;2. School of Civil Engineering, Central South University, Changsha 410075, China,;1. Department of Opto-Mechatronics, Wakayama University, 640-8510 Wakayama, Japan;2. Department of Mechanical and Aerospace Engineering, University of California, San Diego, CA 92093, USA |
| Abstract: | An efficient finite element formulation is presented for geometrical nonlinear elasto-plastic analyses of tensegrity systems based on the co-rotational method. Large displacement of a space rod element is decomposed into a rigid body motion in the global coordinate system and a pure small deformation in the local coordinate system. A new form of tangent stiffness matrix, including elastic and elasto-plastic stages is derived based on the proposed approach. An incremental-iterative solution strategy in conjunction with the Newton-Raphson method is employed to obtain the geometrical nonlinear elasto-plastic behavior of tensegrities. Several numerical examples are given to illustrate the validity and efficiency of the proposed algorithm for geometrical nonlinear elasto-plastic analyses of tensegrity structures. |
| Keywords: | Geometric nonlinear Elasto-plastic analysis Tensegrity systems Co-rotational method Space rod element |
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