论文部分内容阅读
采用动态刚度分析方法,对自由振动和轴压组合叠合梁的屈曲性能进行研究。在公式中考虑了轴力、泊松效应、轴向变形、剪切变形和转动惯量的影响。通过直接求解轴压组合叠合梁自由振动的控制微分方程,建立严格的动态刚度矩阵,并用该矩阵对已有文献中其他组合梁进行计算比较,证明了动态刚度矩阵的适应性。同时,论证了轴力和边界条件对自然频率、屈曲荷载和叠合梁模式的影响。
The dynamic stiffness analysis method is used to study the buckling behavior of composite beams with free vibration and axial compression. The effects of axial force, Poisson effect, axial deformation, shear deformation and moment of inertia are taken into account in the formula. By directly solving the governing differential equations of the free vibration of the composite beam subjected to axial compression, a rigorous dynamic stiffness matrix is established, and the matrix is used to calculate and compare the other composite beams in the literature, which proves the adaptability of the dynamic stiffness matrix. At the same time, the effects of axial force and boundary conditions on natural frequency, buckling load and composite beam mode are demonstrated.