The Discrete Planar Cosserat Rod and its Stability Analysis

摘要

In this paper a discrete model of the planar Cosserat rod is studied. The equilibrium equations, the stability matrix, and the buckling loads of the model are presented in a dimensionless form for axial loading, pinned ends, and linear elasticity. Numerical simulations are accomplished and bifurcation diagrams of a short chain are shown for large displacements and various stiffness values.