期刊论文

Cai, Jian-le

英文

应用数学和力学：英文版

0253-4827

2012

33

11

1393-1402

10.1007/s10483-012-1631-7

∗ Received Mar. 12, 2012 / Revised May 5, 2012 Project supported by the National Natural Science Foundation of China (No. 10932002) and the Natural Science Foundation of Zhejiang Province of China (No. LY12A02008) Corresponding author Jian-le CAI, Professor, E-mail: caijianle@yahoo.com.cn

本校为第一机构

Conformal invariance and conserved quantities for a nonholonomic system of Chetaev's type with variable mass are studied. The conformal factor expressions are derived. The necessary and sufficient conditions are obtained to make the system's conformal invariance Lie symmetrical. The conformal invariance of the weak and strong Lie symmetries for the system is given. The corresponding conserved quantities of the system are derived. Finally, an application of the result is shown with an example. © Sha...