摘要
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.
出处
《力学季刊》
CSCD
2000年第2期219-224,共6页
Chinese Quarterly of Mechanics
基金
国家自然科学基金19572027
国家教委优秀青年教师基金
归国留学人员基金
关键词
截锥壳单元
渐近传递函数法
有限元法
truncated conical shell element
asymptotic transfer function solution
FEM