Stability and vibrations of an all-terrain vehicle subjected to nonlinear structural deformation and resistance.

*(English)*Zbl 1111.34037The authors study the behavior of all-terrain vehicles (ATVs) travelling on rough terrain. They use a nonlinear analytical model to quantify the vehicle response.

Following a stability analysis, regions of stability/instability are obtained. Both analytical and numerical solutions of the governing equations are given.

The authors claim that their procedures form a foundation for accurately studying the stability and nonlinear response of ATVs moving on complex terrain.

The paper is well-written. It should be accessible to both theoreticians and practitioners concerned with nonlinear vehicle vibrations.

Following a stability analysis, regions of stability/instability are obtained. Both analytical and numerical solutions of the governing equations are given.

The authors claim that their procedures form a foundation for accurately studying the stability and nonlinear response of ATVs moving on complex terrain.

The paper is well-written. It should be accessible to both theoreticians and practitioners concerned with nonlinear vehicle vibrations.

Reviewer: Ronald L. Huston (Cincinnati)

##### MSC:

34C60 | Qualitative investigation and simulation of ordinary differential equation models |

34D23 | Global stability of solutions to ordinary differential equations |

70K20 | Stability for nonlinear problems in mechanics |

70E50 | Stability problems in rigid body dynamics |

##### Keywords:

vehicle dynamics; ATV; numerical simulation; vehicle dynamic stability; nonlinear vibration; vehicle modelling; Mathieu equation
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\textit{L. Dai} and \textit{J. Wu}, Commun. Nonlinear Sci. Numer. Simul. 12, No. 1, 72--82 (2007; Zbl 1111.34037)

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##### References:

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