复合材料科学与工程Issue(9)：16-26,11.DOI:10.19936/j.cnki.2096-8000.20250928.003
随机分布载荷作用下双向功能梯度材料悬臂梁的半解析模拟方法
Semi-analytical simulation method for bi-directional FGM cantilever beam under stochastically distributed load
摘要
Abstract
In order to study the mechanical behavior of bi-directional functionally graded material(FGM)can-tilever beam under stochastically distributed load,a semi-analytical method of high precision and efficiency is de-veloped in this paper.Firstly,the physical model of the bi-directional FGM cantilever beam is introduced,and then the basic control equations of the cantilever beam subjected to stochastically distributed load are derived.Then,iter-ative solution of the equations is complemented through MATLAB programming.Based on this,a case study of uni-directional/bi-directional FGM cantilever beams subjected to pure bending load or uniformly distributed load is car-ried out,where the results are compared with the exact solution,Timoshenko beam theory results and graded finite element method results,indicating that the proposed method has good convergence and high accuracy.Finally,the proposed method is used to simulate and analyze the mechanical behavior of bi-directional FGM cantilever beams under linearly distributed load,sinusoidally distributed load or stochastically distributed load.The results obtained are in good agreement with the simulation results of the gradient finite element method,where the maximum relative errors for deflection and stress are within 2.11%and 3.39%,respectively.关键词
双向功能梯度材料/悬臂梁/随机分布载荷/半解析法/有限元方法/复合材料Key words
bi-directional FGM/cantilever beam/stochastically distributed loads/semi-analytical method/finite element method/composites分类
通用工业技术引用本文复制引用
张龙,张伟,范钧滔,廖文林..随机分布载荷作用下双向功能梯度材料悬臂梁的半解析模拟方法[J].复合材料科学与工程,2025,(9):16-26,11.基金项目
全军装备军内科研项目(JK20202A040525) （JK20202A040525）
四川省自然科学基金(2024NSFSC1349) （2024NSFSC1349）
