Tensegrity system dynamics based on finite element method

This study presents a finite element analysis approach to nonlinear and linearized tensegrity dynamics based on the Lagrangian method with nodal coordinate vectors as generalized coordinates. In this paper, without constraints are first derived. The equilibrium equations in three standard forms (in terms of coordinate, member force density, vectors) compatibility equation also given. Then, we present modal constraints. developed is capable conducting following comprehensive studies for any structures accurately: performing rigid body acceptable errors, which achieved by setting relatively high stiffness bars simulation; simulating FEM accurately, where strings can have elastic or plastic deformations; dealing various kinds boundary conditions, example, fixing applying static/dynamic loads at nodes direction (i.e., gravitational force, some specified forces, arbitrary seismic vibrations); accurate analysis, including natural frequency corresponding modes. Three examples, double pendulum, cantilever truss external prism tower, carefully selected studied. results compared software ANSYS. provides deep insight into structures, materials, performances, well an interface towards integrating control theories.