微分求积法与有限元相结合分析带弹性安置质量圆板的横向振动

微分求积法(GDQM)是近年来发展起来的一种结构计算方法,但是目前仍存在很多的局限性.而有限元法是一种成熟的计算方法,但是计算比较繁琐.用GDQM与有限元相结合对中心带有弹性安置质量圆板的轴对称自由振动进行了计算分析,同时发挥GDQM精度高、计算量小、收敛快和有限元法十分灵活的优点,使两种方法得到了有机结合,首次提出了一种结构分析的新思路.计算结果与现有文献的结果作了对比,证明方法具有较高的精度.

COMBINATION OF GENERALIZED DIFFERENTIAL QUADRATURE METHOD AND FINITE ELEMENT METHOD FOR ANALYSIS OF TRANSVERSE VIBRATION OF CIRCULAR PLATES WITH AN ELASTICALLY MOUNTED MASS

The generalized differential quadrature method(GDQM)developed recently is more and more widely used in structural analysis,but it is restricted by some conditions.The finite element method(FEM)is a conventional numerical method,but the computational effort is significant.In this paper,GDQM and FEM are combined together to analyze the transverse vibration of circular plates with an elastically mounted mass.This combination first proposed in this paper is a new way to solve the problems with complex domains in structural analysis.It is a rapid,efficient,accurate and flexible numerical method with both the advantages of GDQM and FEM.Comparison with the existing literature has proved that the results obtained by this method are very accurate.