Extremely large-amplitude dynamics of cantilevers under coupled base excitation

摘要: Abstract Extremely large-amplitude nonlinear dynamics of a cantilever with mass at the tip under coupled base excitations is examined for first time. An exact model centreline rotation developed capable accurately predicting dynamic response even extremely large amplitudes; static finite element analysis conducted to verify accuracy proposed very deflection amplitudes. The based on theory Euler-Bernoulli and internal damping Kelvin-Voigt; assumed remain inextensible. discretised via Galerkin modal decomposition method while keeping all terms exact. Extensive numerical simulations are examine primary parametric resonance due transverse axial excitations, respectively. It shown that same amplitudes excitation, much stronger than resonance.