物理学报2011，Vol.60Issue(11)：443-448,6.
Cosserat弹性杆动力学普遍定理的守恒量问题
The conserved quantities in general theorems of the Cosserat elastic rod dynamics
摘要
Abstract
Conserved quantities of the Cosserat elastic rod dynamics are studied according to the general theorems of dynamics.The rod dynamical equation takes the cross section of the rod as its objective of study and is expressed by two independent variables,the arc coordinate of the rod and the time,so the conserved quantities are written in the integral forms and there exist the arc coordinate conservation and the time conservation.The existence conditions and the formulas of conservations of momentum and moment of momentum are derived from the theorem of momentum and the theorem of moment of momentum respectively,which contain two cases of conserved quanties,one is the time and the other is arc coordinate.Also existence conditions and formulas of conservations of energy about time and are coordinate,which contain mechanical energy conservation,are derived from energy equations about the time and arc coordinate of the rod respectively.All of conservative motions of the rod are explained by examples.The conserved quantities in the integral form are of practical significance in both theoretical and numerical analysis for the Cosserat elastic rod dynamics.关键词
守恒量/Cosserat弹性杆/动力学普遍定理/双自变量Key words
conserved quantities/Cosserat elastic rod/general theorems of dynamics/two independent variables分类
数理科学引用本文复制引用
薛纭,王鹏..Cosserat弹性杆动力学普遍定理的守恒量问题[J].物理学报,2011,60(11):443-448,6.基金项目
国家自然科学基金（批准号：10972143）资助的课题 （）
