Study on Symmetries and Conserved Quantities of Vehicle Body Vibration Systems

ZHAI Xiao-yang; FU Jing-li

doi:10.3879/j.issn.1000-0887.2015.12.007

Volume 36 Issue 12

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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

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Study on Symmetries and Conserved Quantities of Vehicle Body Vibration Systems

doi: 10.3879/j.issn.1000-0887.2015.12.007

Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, P.R.China

Funds: The National Natural Science Foundation of China（11272287;11472247）

Received Date: 2015-05-07
Rev Recd Date: 2015-08-22
Publish Date: 2015-12-15

Abstract

Abstract

Symmetries and conserved quantities of vehicle body vibration systems were studied with the Lie group method. The vertical translational vibration and the pitching vibration around the mass center were addressed by means of the Lagrangian functions to construct the vehicle body vibration model. According to this vibration system, the Noether symmetry theory and the Lie symmetry theory were derived via the introduction of the Lie group method. The existence of the Noether symmetries and the Lie symmetries of the system were proved with the corresponding conserved quantities obtained. This work provides a new symmetry solution to the vehicle body vibration problem, and meanwhile expands the application scope of the Lie group method.
- vehicle body vibration system,
- Noether symmetry,
- Lie symmetry,
- conserved quantity

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References(17)

References

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