Vol. 13, No. 3, 2018

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ISSN: 1559-3959
Geometrical nonlinear dynamic analysis of tensegrity systems via the corotational formulation

Xiaodong Feng

Vol. 13 (2018), No. 3, 263–281
Abstract

An efficient finite element formulation is presented for geometrical nonlinear dynamic analysis of tensegrity systems based on the corotational formulation. In this 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 both static and dynamic stages, is derived based on the proposed approach. The Newmark constant acceleration method in conjunction with modified Newton–Raphson method is employed to solve the nonlinear dynamic equation of motion. A five-module quadruplex tensegrity beam is given as the numerical example to illustrate the validity and efficiency of the proposed algorithm for geometrical nonlinear dynamic analysis of tensegrity structures.

Keywords
geometric nonlinear, dynamic analysis, tensegrity systems, corotational formulation, space rod element
Milestones
Received: 28 October 2017
Revised: 11 April 2018
Accepted: 14 May 2018
Published: 31 August 2018
Authors
Xiaodong Feng
School of Civil Engineering
Shaoxing University
Shaoxing, 312000
China