单向板受线荷载作用的弹性力学解析
Elastic Mechanics Analytical Solution of One-way Slab Subjected to Line Load
根据弹性力学薄板理论，用levy解法对两对边简支、两对边自由的单向简支板进行弹性受力分析。从特殊情况入手，将荷载与变形表示成傅立叶级数的形式，解偏微分方程组后，得到了线荷载作用下板挠度的解析解，进而得到板内的内力分布情况。然后将特殊情况的解答拓展到板内任意位置。根据解析解对某单向板进行了分析，并通过sap2000有限元软件证实了该解的正确性。
his paper analysis the mechanical behavior of one-way slab subjected to line load using Levy method based on basic theorys of elastic mechanics. Starting from special circumstances, solve the partial differential equations by converting the out load into Fourier Series. Then expand the special situation solution to arbitrary location. Analysis a one-way slab using the analytical solution, compared with the result of Sap2000 finite element software, further comfirmed the accuracy of the solution.
高文俊、鲁正、姜淳
工程基础科学
弹性力学单向板线荷载解析解
Elastic Mechanicsone-way slabline loadanalytical solution
高文俊,鲁正,姜淳.单向板受线荷载作用的弹性力学解析[EB/OL].(2013-12-16)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/201312-399.点此复制
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