Instability and vibration of a vehicle moving on curved beams with different boundary conditions

ABSTRACT

The instability and vibration of a concentrated mass moving along the curved beam is investigated. In most literature, the moving mass model is approximated by the moving load model. The semi-analytical method for this moving mass problem is presented here. Comparison between the two models is made. The mechanism of instability of the vehicle separating from a curved bridge is studied. Moreover, the effects of several parameters and boundary conditions on the vibration and instability are investigated.

KEYWORDS:

• moving mass problem
• curved beam
• critical speed
• instability
• semi-analytical solution

Funding

The support of the National Science Council of Taiwan, R. O. C., is gratefully acknowledged (Grant number: NSC-99-2212-E168-020).