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汽车电磁悬架系统的Noether对称性及其应用

崔新斌 傅景礼

崔新斌, 傅景礼. 汽车电磁悬架系统的Noether对称性及其应用[J]. 应用数学和力学, 2017, 38(12): 1331-1341. doi: 10.21656/1000-0887.380060
引用本文: 崔新斌, 傅景礼. 汽车电磁悬架系统的Noether对称性及其应用[J]. 应用数学和力学, 2017, 38(12): 1331-1341. doi: 10.21656/1000-0887.380060
CUI Xin-bin, FU Jing-li. Noether Symmetry of Automotive Electromagnetic Suspension Systems and Its Application[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1331-1341. doi: 10.21656/1000-0887.380060
Citation: CUI Xin-bin, FU Jing-li. Noether Symmetry of Automotive Electromagnetic Suspension Systems and Its Application[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1331-1341. doi: 10.21656/1000-0887.380060

汽车电磁悬架系统的Noether对称性及其应用

doi: 10.21656/1000-0887.380060
基金项目: 国家自然科学基金(11472247;11272287)
详细信息
    作者简介:

    崔新斌(1990—),男,硕士(E-mail: hzcuixinbin@163.com);傅景礼(1955—),男,教授,博士生导师(通讯作者. E-mail: sqfujingli@163.com).

  • 中图分类号: O316

Noether Symmetry of Automotive Electromagnetic Suspension Systems and Its Application

Funds: The National Natural Science Foundation of China(11472247;11272287)
  • 摘要: 研究了含有电磁悬架汽车振动系统的Noether对称性,给出了系统的守恒量,并通过守恒量求得系统的对称性解.以能量形式,建立汽车不同振动形式下的Lagrange(拉格朗日)方程.选取位移坐标为广义坐标,研究了各种振动形式下系统的Noether对称性,并给出相应的Noether恒等式、Killing方程和广义Noether定理.研究系统守恒量,运用存在的守恒量,给出一种新的求解汽车振动系统响应的方法;并应用到具体的车体振动系统计算中,给出了系统在转弯、制动或加速等情况下的位移响应和速度响应曲线.
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出版历程
  • 收稿日期:  2017-03-15
  • 修回日期:  2017-04-12
  • 刊出日期:  2017-12-15

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