非線形振動系に対する直接数値積分法についての一研究

概要

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The stability and accuracy of the responses of nonlinear vibrational system using the direct integration methods are discussed. A nonlinear undamped-free vibrational system with one degree of freedom is illustrated for the numerical simulation, and the response of the system is evaluated using the Newmark-β method, the Wilson-θ method, the Houbolt method and the Gear-2 step method. The responses are computed using implicit integration algorithms with the iteration to establish dynamic equilibrium at the current time. The stability is discussed by deriving the characteristics z-polynomial equations, and it is checked whether all the roots of the equations exist in the left-hand of z-plane or not. The stability region and accuracy depending upon the time increments are numerically examined for the four direct integration methods.
一般社団法人日本機械学会の論文
1986-01-25