轴向初压力和横向初偏移对梁非线性振动的影响

本文应用摄动法对受轴向初压力、并具有一定初偏移的梁的非线性自由振动进行了研究.结果表明:初压力和初偏移的不同组合,能够影响梁非线性振动的频率.这对动态环境下压力杆件的设计有一定的工程意义.另外文中通过数值结果对一次摄动解进行了误差分析.

The Effect of Nonlinear Vibration for Beam With Initial Deflection and Initial Pressure in Axis Direction

This paper applies the method of perturbation to investigation of a nonlinear free vibration of elastic beam with initial deflection and initial pressures in the axis direction of both ends of the beam. The result shows that the frequency of the beam is effected by the different combination of initial deflection and initial pressure. These conclusions are of significance in engineering for designing bars with dynamical pressure. On the other hand, this paper analyses the error of perturbation solution by numerical results for the first time.