A Precise and Stiffly Stable Time Integration Method for Dynamic Analysis

抄録

A new time integration method is proposed, which is a kind of extension of the Wilson-θ method. It has good accuracy, unconditional stability and numerical dissipation. The algorithm and characteristics for linear systems are shown. Also, an application method for non-linear systems is described. For analyzing multibody systems, a formulation of elastic link systems consisting of two dimensional truss, beam and scalar elements is indicated. Some examples such as a stiff vibration system, a double pendulum system, and a four link system are calculated by the present method, which demonstrates that it is useful and available for analyzing multibody systems.