基于渐近传递函数解的截锥壳单元

A New Truncated Conical Shell Element Based on Asymptotic Transfer Function Solution

普通截锥壳单元是分析旋转壳结构的常用单元,但应力计算的精度较差;而渐近传递函数解在圆锥壳的应力分析方面具有很高的计算精度。本文针对一般截锥壳单元应力计算精度不高的缺点,将传递函数法与有限元法进行结合,以圆锥壳的渐近传递函数解为插值函数,直接构造了一种高精度的截锥壳单元。该单元位移插值模式满足相容性和完备性要求,并具有力学概念清楚、计算精度高等特点。数值算例表明,采用该单元进行圆锥壳的内力和自由振动频率分析,计算效率明显高于普通截锥壳单元。

The ordinary truncated element is widely adopted in engineering for analysis of revolutionary shell, but it has low precision on the calculation of stress and strain. Whereas, the asymptotic transfer function analysis has advantage in this respect. In this paper, taking the asymptotic boundary transfer function of the conical shell as the interpolation function of element displacement, a new truncated conical shell element is proposed. This element has high precision in strain/stress computation and is more efficient than ordinary FEM, and it satisfies the requirement of compatibility and complete conditions. The numerical results are presented to demonstrate the superiority of this element.