显式和隐式力学计算方法对比研究  

Comparative Research on the Explicit and Implicit Mechanical Calculation Method

作　　者：潘科琪[1] 

机构地区：[1]上海核工程研究设计院,上海200233

出　　处：《现代计算机（中旬刊）》2015年第7期20-23,共4页Modern Computer

摘　　要：阐述求解刚-柔耦合动力学方程的两种计算方法及其研究进展。基于显式算法即龙哥库塔法和隐式算法方法即纽马克方法结合牛顿迭代法,分别求解单摆和曲柄滑块系统的线性和非线性的动力学方程。通过结果对比研究发现,在保证相同的计算精度下,隐式算法求解线性和非线性动力学方程的计算效率都要高于显式算法。指出在工程计算建议采用隐式算法进行求解。Shows two kinds of numerical computation method for rigid-flexible dynamics equation and its developments. Based on the explicit nu- merical method, respectively solves i.e. Runge Kutta method and implicit numerical method, i.e. Newmark method, linear and nonlinear dynamics equations for curved beam pendulum and slider-crank mechanism. In condition of the same computation accuracy, results com- parison show that implicit numerical method computation efficiency is obviously higher than the explicit numerical method no matter for solving linear nor the nonlinear dynamics equation. So, the conclusion that implicit numerical method, i.e. Newmark method is recom- mended for calculating the mechanics problem in engineering.

关 键 词：动力学方程 显式算法 隐式算法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]