论文部分内容阅读
研究剪力作用下梯度材料薄壁钢梁的动力稳定性,分析基于小变形和二阶非线性位移引起的中等旋转。钢梁承受外部轴向动力荷载。模型考虑了热弹性影响,推导了热量传导公式,用于计算钢梁横截面域的温度。采用Galerkin和Bolotin方法,详细地推导出控制方程和动力稳定的区域,以比例的形式评估并阐述了稳定区域,研究非稳定区的纵向振动影响。结果表明,荷载频率接近纵向自振频率的影响最大,并有更广的稳定区域。在分析中,也考虑了温度梯度、剪力弹性、轴向惯量、不同截面和不同梯度材料的影响。
The dynamic stability of thin-walled steel beam with gradient material under shear force is studied. The moderate rotation caused by small deformation and second-order nonlinear displacement is analyzed. Steel beams subjected to external axial dynamic load. The model takes into account the effect of thermoelasticity and deduces the heat conduction formula which is used to calculate the temperature of the cross-section of the steel beam. The Galerkin and Bolotin methods are used to derive the control equations and dynamic stability regions in detail. The stability regions are evaluated and elaborated in terms of proportion, and the longitudinal vibration effects in the unstable regions are studied. The results show that the load frequency is close to the longitudinal natural frequency of the greatest impact, and have a wider area of stability. In the analysis, the effects of temperature gradient, shear elasticity, axial inertia, different cross-sections and different gradient materials were taken into account.