均布、集中和线性变化荷载作用下结构圆形夹层板的挠度响应

A. Salau, O. Sadiq
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引用次数: 1

摘要

本文研究了简支或边界固支圆形夹芯板结构在不同荷载配置(均布荷载、集中荷载和线性变化荷载)下的挠度响应。采用变分迭代法(VIM)求解板的非线性控制微分方程,然后采用有限元法(FEM)验证其精度。结果表明,在各种荷载配置下,简支板的挠度值明显高于夹紧板,夹紧条件下半径为100mm的夹层板在受均匀荷载作用时挠度为0.05mm,而简支条件下挠度为0.25mm。集中荷载也被发现对夹层板的主体有重要影响,因为在所有加载配置中,无论其边界条件如何,集中荷载都能产生最高的挠度,其中带有点荷载的简支条件具有高达2.1mm的高挠度。
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Deflection Response of Structural Circular Sandwich Plates Subject to Uniform, Concentrated and Linearly Varying Load
This research is based on the study of the deflection response of a structural circular sandwich plate, simply supported or clamped at its boundary, under different loading configurations (uniformly distributed, concentrated, and linearly varying load). The non-linear governing differential equation of the plate was solved using an Analytical method, Variational Iteration Method (VIM), after which the Finite Element Method (FEM) was used to validate its accuracy. Results showed a significantly higher deflection value for the simply supported plate compared to the clamped plate for all the various loading configurations, where a sandwich plate of radius 100mm under clamped conditions generated deflection of 0.05mm when exposed to a uniform load while a deflection of 0.25mm for simply supported condition. The concentrated load was also discovered to have a major effect on the body of the sandwich plate as it was seen to generate the highest deflection among all loading configurations regardless of its boundary conditions where a simply supported condition with a point load had a high deflection amounting to 2.1mm.
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