用高阶有限元分析旋转梁的固有振动

本文给出任意阶次高精度有限元形状函数及其有关矩阵的显表达式,并用以计算均匀或分段连续变化的旋转梁的固有振动特性。结果表明,本方法在计算效率、结果精度、程序编制及使用方便性等方面均有相当的优点。

NATURAL VIBRATION ANALYSIS OF ROTATING BEAMS WITH HIGH-ORDER FINITE ELEMENTS

The explicit expressions of the shape functions and the related stiffness, geometrical stiffness and mass matrices for the partially orthogonal hierarchal finite element of arbitrary high-order for beams are all presented in the closed form in this paper. These expressions are used to evaluate the natural frequencies and the corresponding internal forces of a uniform cantilever beam and a rotating beam with segment-by-segment continuously varying properties, respectively. The results show that the present technique is superior in computational efficiency, accuracy of results, programming, feasibility of use, and so on.