Equations of motion for constrained mechanical systems and the extended D'Alembert's principle

被引:37
|
作者
Udwadia, FE
Kalaba, RE
Eun, HC
机构
[1] UNIV SO CALIF,DEPT BIOMED ENGN ELECT ENGN & ECONOM,LOS ANGELES,CA
[2] UNIV SO CALIF,DEPT CIVIL ENGN,LOS ANGELES,CA
关键词
D O I
10.1090/qam/1447580
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Starting from the principle of virtual work, this paper states and establishes an extended version of D'Alembert's Principle. Using this extended principle and elementary linear algebra, it develops, from first principles, the explicit equation of motion for constrained mechanical systems. The results are compared with the authors' previous results. The approach points to new ways of extending these results.
引用
收藏
页码:321 / 331
页数:11
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