矩形板圧電振動子解析への有限要素法の適用

概要

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This paper investigates the computation accuracy of the finite element analysis applied to the in-plane modes of a piezoelectric rectangular plate, and then gives the most appropriate shape of the element. Three types of subdivision elements are used in this study: a constant-strain triangular element (CTE), a first-order rectangular element (RE), and a linear-strain element (LTE). We propose a method to predict the error in calculating the eigen frequencies by only using finite element analyses, then apply it to calculate the errors in the eigen frequencies of various vibrational modes of a square plate and a 5:1 rectangular plate. It is found that this predicted error for a Lame mode of the square plate agrees with that obtained by the exact theory. It is also shown that the shape of the element which achieves the best accuracy for the large majority of modes is either the isosceles right triangle for CTE and LTE or the square for RE, under the conditions that a plate is subdivided into the same elemental shape and the total number of elements are kept approximately equal. Finally, two examples of the finite element analyses are worked out and compared with the experimental results.
社団法人日本音響学会の論文
1985-10-01