Abstract

A finite element approach for modal analysis of square FGM plates is developed by the ABACUS software coupled with FORTRAN. The Material properties are assumed to be changed continuously from one surface to another through its thickness direction according to the simple power-law distribution. The analysis was performed on relatively thin square FGM plates with various combinations of simply supported and clamped boundary conditions. For modal analysis, a FEM was carried out for different values of n in simply supported (SSSS) and clamped (CCCC) modes, similar to those employed by other researchers and the accuracy of results were evaluated.

摘要

ABACUS 软件结合 FORTRAN 开发了一种用于方形 FGM 板模态分析的有限元方法。根据简单的幂律分布，假设材料属性通过其厚度方向从一个表面连续变化到另一个表面。分析是在相对薄的方形 FGM 板上进行的，具有简支和夹紧边界条件的各种组合。对于模态分析，在简支 (SSSS) 和钳位 (CCCC) 模式下对不同的 n 值进行 FEM，这与其他研究人员采用的类似，并评估了结果的准确性。