Journal of Applied Mechanics · 1986 · 175 citations · 0 references
EngineeringComputational EngineeringMechanical EngineeringComputational MechanicsStructural DynamicsStructural EngineeringBeam TheoryBending Of BeamsMulti-body DynamicsMultibody DynamicsNonlinear Structural AnalysisNonlinear Structural DynamicsCoupled Multibody DynamicsDynamics Of Flexible BodiesEquations Of Motion For Flexible BodiesFlexible Body DynamicsGalerkin DiscretizationNumerical SimulationSpatial DiscretizationSpatial Discretization Schemes
The numerical treatment of the methodology proposed in Part I of this paper is considered in detail. Unlike traditional approaches, a Galerkin spatial discretization of the equations of motion, now referred to the inertial frame, yields the standard form of nonlinear structural dynamics: Mq¨ + Dq˙ + P(q) = F, with M and D constant matrices. Numerical examples that involve finite vibrations coupled with large overall motions are presented. These simulations also demonstrate the capability of the present formulation in handling multibody dynamics.