梯度材料薄壁钢梁的热弹性动力稳定性研究

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。

Thermoelastic Dynamic Stability of Thin-Walled Beams with Graded Material Properties

The dynamic stability of functionally graded thin-walled beams allowing for shear eformability is investigated in this article.The analysis is based on a model that has small strains and moderate rotations which are formulated through the adoption of a second-order non-linear displacement field.The beam is subjected to axial external dynamic loading.The model takes into account thermoelastic effects.The heat conduction equation is solved in order to characterize the temperature in the cross-sectional domain...