时间尺度上非迁移完整力学系统的Lagrange方程与Nielsen方程  

Lagrange equations and Nielsen equation of non-shifted holonomic mechanical systems on time scales

作　　者：张毅[1] 翟相华 ZHANG Yi;ZHAI Xianghua(School of Civil Engineering,SUST,Suzhou 215011,China)

机构地区：[1]苏州科技大学土木工程学院,江苏苏州215011

出　　处：《苏州科技大学学报（自然科学版）》2021年第1期15-20,共6页Journal of Suzhou University of Science and Technology（Natural Science Edition）

基　　金：国家自然科学基金资助项目(11572212,11972241);江苏省自然科学基金资助项目(BK20191454)。

摘　　要：研究时间尺度上非迁移完整力学系统的Lagrange方程与Nielsen方程。首先,建立时间尺度上非迁移Hamilton原理;其次,基于非迁移Hamilton原理,导出时间尺度上非迁移一般完整力学系统的Lagrange方程;再次,由非迁移Lagrange方程导出时间尺度上单自由度非迁移完整力学系统的Nielsen方程;最后,给出了两个算例以说明结果的应用及其有效性。This paper investigates Lagrange equations and Nielsen equations of non-shifted holonomic mechanical systems on time scales.Firstly,the non-shifted Hamilton principle on time scales was established.Secondly,based on the non-shifted Hamilton principle,the Lagrange equations of general non-shifted holonomic mechanical systems on time scales were derived.Thirdly,the Nielsen equations of one-degree-of-freedom non-shifted holonomic mechanical systems on time scales were derived from the non-shifted Lagrange equations.Finally,two examples were given to illustrate the application and validity of the results.

关 键 词：时间尺度 完整力学系统 非迁移Nielsen方程 非迁移Hamilton原理 非迁移Lagrange方程 

分 类 号：O316[理学—一般力学与力学基础]