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汽车车体振动系统的对称性与守恒量研究

翟晓洋 傅景礼

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. doi: 10.3879/j.issn.1000-0887.2015.12.007
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. doi: 10.3879/j.issn.1000-0887.2015.12.007
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. doi: 10.3879/j.issn.1000-0887.2015.12.007

汽车车体振动系统的对称性与守恒量研究

doi: 10.3879/j.issn.1000-0887.2015.12.007
基金项目: 国家自然科学基金(11272287;11472247)
详细信息
    作者简介:

    翟晓洋(1991—),男,江苏东台人,硕士生(通讯作者. E-mail: jszxy@foxmail.com).

  • 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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