用Matlab编程对单向四跨连续板进行分析

E. I. Adah, S. E. Ubi, F. Idagu, P. A. Ubi
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摘要

本文提出了一种基于多项式形状函数的计算机方法,在Matlab中应用于单方向连续板的分析。对由边界条件SSSC、SCSC、SCSC和SCSS单板组成的4跨x向连续板进行了分析。假设外边缘被简单支撑,而每个面板的内缘被夹紧。采用适当的边界条件计算各板夹紧边的弯矩,形成固定端矩(fem)。采用基于梁类比的刚度法对连续板进行分析。应用Matlab代码编写计算机程序进行分析。为了验证本研究的结果,用人工方法将获得的矩值与早期研究的矩值进行了比较。固定端弯矩的百分比差异均为0.00%,支座弯矩的百分比差异最大,为0.016%。由此得出结论,基于Matlab的研究程序是一种较好的四跨连续板单方向分析方法。关键词:Matlab编程,连续板,多项式形状函数,梁类比,固定边矩。
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Analysis of a 4-span continuous plate in one direction using Matlab programming
The present study presents a computer approach based on polynomial shape functions application for analysis of continuous plate in one direction using Matlab. A 4-span continuous plate in the x-direction comprises of boundary conditions SSSC, SCSC, SCSC and SCSS single panels’ plate was analyzed. It was assumed that, the external edges were simply supported while the internal edges of each panel were clamped. The bending moments of the clamped edges were calculated for each panel using appropriate boundary conditions which formed the fixed end moments (FEMs). Stiffness method was used based on beam analogy to analyze the continuous plate. Matlab codes were applied to develop a computer program for this analysis. To validate the results of this present study, the values of the moments obtained were compared with those of earlier studies using manual method. The percentage difference for fixed end moments were all 0.00% and that of support moments had the maximum value of 0.016%. Thus, it was concluded that the present study program based on Matlab is adequate and a faster approach for a 4-span continuous plate in one direction analysis. Keywords: Matlab Programming, Continuous Plate, Polynomial Shape Functions, Beam Analogy, Fixed Edge Moment.
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