简支截顶圆锥壳固有振动特性分析及仿真验证

摘要

With Donnell equations of motion and power series method applied, the first two natural frequencies of the truncated conical shells simply supported at its ends under each circum ferential mode number are calculated. By contrasting results of numerical calculation and the finite element simulation, the convergence and accuracy of power series method are investigated in calculating natural frequencies of the conical shells. In addition, the effects of parameters of conical shells on the first two natural frequencies are analyzed.%采用 Donnell运动方程和幂级数法，计算两端简支的截顶圆锥壳各阶周向模态下的前2阶固有频率，通过数值计算和有限元仿真对比，研究幂级数法计算圆锥壳固有频率的收敛性和准确性。此外，分析了壳体参数对前2阶固有频率的影响。