## 留言板

 引用本文: 翟晓洋, 傅景礼. 汽车车体振动系统的对称性与守恒量研究[J]. 应用数学和力学, 2015, 36(12): 1285-1293.
ZHAI Xiao-yang, FU Jing-li. Study on Symmetries and Conserved Quantities of Vehicle Body Vibration Systems[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1285-1293. doi: 10.3879/j.issn.1000-0887.2015.12.007
 Citation: ZHAI Xiao-yang, FU Jing-li. Study on Symmetries and Conserved Quantities of Vehicle Body Vibration Systems[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1285-1293.

• 中图分类号: O316

## Study on Symmetries and Conserved Quantities of Vehicle Body Vibration Systems

Funds: The National Natural Science Foundation of China（11272287;11472247）
• 摘要: 用Lie群方法研究汽车车体振动系统的对称性，寻找其存在的守恒量.以汽车车体做上下垂直振动和绕其质心的前后俯仰振动，采用Lagrange函数的方法，构建汽车车体振动系统.以此系统为对象，引入Lie群方法，给出该振动系统的Noether对称性理论与Lie对称性理论；由此推导该汽车系统存在的Noether对称性与Lie对称性，并得到系统相应的的守恒量.该方法对车体振动问题提出了新的对称性解法，同时扩大了Lie群方法的应用范围.
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##### 出版历程
• 收稿日期:  2015-05-07
• 修回日期:  2015-08-22
• 刊出日期:  2015-12-15

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