Application of the First Order Generalized-α Method to the Solution of an Intrinsic Geometrically Exact Model of Rotor Blade Systems

摘要: An energy decaying integration scheme for an intrinsic, geometrically exact, multibody dynamics model with composite, dimensionally reducible, active beamlike structures is proposed. The based on the first order generalized-α method that was proposed and successfully applied to various nonlinear models. similarities differences between mathematical structure of intrinsic a parallel mixed chains are highlighted demonstrate effect form governing equation stability scheme. Simple C° shape functions used in spatial discretization state variables owing weak model. Numerical solution transient behavior systems, representative rotor blade system configurations, presented highlight advantages drawbacks Simulation predictions compared against experimental results whenever latter available verify implementation. suitability robustness then established satisfying two conservational laws derived from model, which retained characteristic its unconditional when problem, dependance success equations.