Stability Analysis of Interconnected Deformable Bodies in a Topological Tree

Abstract

The exact nonlinear rotational equations of a system of interconnected deformable bodies are derived from the Alembert virtual work principle. The Lagrange equations of the system are also written as they lead to a rather simple stability analysis. Equilibrium conditions, permitting the equilibrium synthesis, are derived. The method is appropriate for simple numerical structure design and stability investigation.