基于互补函数法的FG梁静力分析

A. Noori, Timuçin Alp Aslan, Beytullah Temel
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引用次数: 7

摘要

采用互补函数法研究了功能梯度梁的静力分析问题。直梁的材料性能杨氏模量在厚度方向上是基于幂律分布的,而泊松比是恒定的。利用基于Timoshenko光束理论(FSDT)的最小总势能原理,得到了所考虑问题的控制方程。本文的主要目的是将CFM注入到FG直梁的静力分析中。通过与已有文献的数值结果比较,验证了所提方法的有效性和准确性。应用这种有效的方法,可以准确地计算出材料性能随梁厚变化而变化的FGM梁的静响应。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Static Analysis of FG Beams via Complementary Functions Method
Static analysis of Functionally Graded (FG) beams is studied by the Complementary Functions Method (CFM). The material properties, Young’s modulus, of the straight beams, are graded in the thickness direction based on a power law distribution while the Poisson’s ratio is supposed to be constant. Governing equations of the considered problem are obtained with the aid of minimum total potential energy principle based on Timoshenko’s beam theory (FSDT). The main purpose of this paper is the infusion of the CFM to the static analysis of FG straight beams. The effectiveness and accuracy of the proposed method are confirmed by comparing its numerical results with those available in the literature. Application of this efficient method provides accurate results of static response for FGM beams with different variations of material properties in the thickness of the beam.
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