Stability and vibrations of an all-terrain vehicle subjected to nonlinear structural deformation and resistance. (English) Zbl 1111.34037

Dai, L.; Wu, J.

Commun. Nonlinear Sci. Numer. Simul. 12, No. 1, 72-82 (2007).

The 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.

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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