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
