High Precision Of The Nonlinear Dynamic Equation Calculation

In this paper, aimed at the characteristic of non-linear dynamics, the precise time integration algorithm and its application in non-linear dynamics equation are stdudied. Center differential methods ,Wilson-θ method,Newmark-β method, matrix adding method and direct integration method all are methods often used to solve constant differential equations. The paper introduces those methods. Their precision, stability, and properity of solving different non-linear dynamics equations are also studied in the paper. The precise integration algorithms throws away traditional step by step integration algorithms,and it has the characteristics of high precision , being able to use long step and being irrelatively stable. It supplys thoughts for solving non-linear dynamics equations. In order to solve non-linear dynamics problems well, the inherent mechanism and fundamental reasons for that the precision integration algorithms can realise high precision and efficiency are studied first, in addition, The truncation error of the precision integration is given out , the recursion formula and related error upperlimit are also given out. The paper supplys with the non-linear iteration algorithms of precision integration, the precision integration algorithm's use in the structure non-linear motion is studied. In addt ion, based on Hamilton system, the general solvation of non-linear dynamics by using the precise integration algorithms is also studied.