α方法在非完整力学系统数值积分中的应用  

NUMERICAL INTEGRATION OF NONHOLONOMIC CONSTRAINED MECHANICAL SYSTEMS BY α METHODS

作　　者：马秀腾[1] 陈立平[1] 张云清[1] 

机构地区：[1]华中科技大学CAD中心,武汉430074

出　　处：《动力学与控制学报》2008年第3期193-197,共5页Journal of Dynamics and Control

基　　金：国家自然科学基金(60574053);国家"八六三"高技术研究发展计划(2006AA110105)资助项目~~

摘　　要：将源于直接积分方法的广义-α法和α-RATTLE法应用到非完整力学系统动力学方程数值积分中,直接求解指标-2的微分-代数方程(DAEs),这两种方法的质量矩阵可以是常量,也可以与广义坐标相关.最后,文中通过一个非完整力学系统:Snakeboard模型,对这两种方法进行了验证,并且与DASSL算法包的结果进行了比较.The generalized-α nomic constrained mechanical method and α-RATTLE method were used in the numerical integration of nonholo- systems,i, e. numerical solution of index-2 DAEs directly. During the integration, these two α-methods can settle the systems that their mass matrices are related with generalized coordinates. Fi- nally, the two methods were verified by a numerical example, the classical nonholonomic constrained mechanical system： Snakeboard. The results were compared with those obtained by the solver DASSL.

关 键 词：非完整约束 微分-代数方程(DAEs) 广义-α法 α-RATTLE法 

分 类 号：O316[理学—一般力学与力学基础] O241.4[理学—力学]