This paper on "The Influence of Element Shape on the Dynamic Analysis of Flat Plate Structures" was presented at the International Conference on Quality Assurance and Standards in Finite Element Analysis - 22-25 May 1989, Stratford-upon-Avon, England.

Summary

Factors influencing the accuracy of finite element analysis of the free vibration of flat plate structures are investigated. These include the degree of discretisation, (both in terms of number and type of element), the number and choice of automatic masters for the reduced system, and the influence of element shape distortion such as aspect ratio, skew, taper, and edge curvature. The shape distortion parameters are investigated singly (so far as possible) and in combination. Recommendations are made regarding the level of discretisation and number of masters required for accurate analysts. Results of numerical experiments with distorted elements indicate that the accuracy of natural frequency calculations is hardly influenced, except at very high levels of distortion. Modeshapes however are relatively more sensitive (depending on complexity) particularly where mesh lines do not 'conform' to the boundary of the geometric shape meshed or violate its symmetry.