载荷参数和非线性因素对简支梁热振响应的影响分析

Analysis of the Effects of Load Parameters and Nonlinearity on the Thermo-Vibration Response of Simply Supported Beam

本文建立了两端简支梁在热载荷作用下的运动方程。通过Galerkin离散,得到系统的前二阶常微分方程,并对其进行了热屈曲计算,对屈曲后的平衡点进行了稳定性分析。计算了简支梁在简谐激励下的热振响应,分析了热载荷、外激励频率、外激励幅值等系统参数对系统动力学行为的影响,讨论了非线性因素对振动响应的影响。

In this paper, the motion equation of the simply supported beam under thermal load is built. By Galerkin discretization method, the first two order differential equations are obtained. The thermal buckling of the beam and the stability of the balance points are analyzed. Additionally, a harmonic excitation is put on the beam. The thermo-vibration response of the beam is calculated. The effects of the thermal load, frequency and amplitude of the external excitation to the dynamical behavior of the beam are analyzed. And the dynamical behavior aroused by the nonlinear factors is discussed.