Symbolic analysis of continuous beams

Husain Jubran Al-Gahtani

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Symbolic analysis of continuous beams

机译：连续梁的符号分析

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The study presents a direct method for obtaining symbolic solutions for continuous beams. The external applied concentrated forces, distributed forces and moment couples are represented by step/singular functions. The integration of the governing differential equation and the solution of the boundary and support conditions are performed using Mathematica. The output of the code produces closed-form symbolic solutions for the beam deflection and its derivatives, as well as all support reactions and moments. Several examples are presented to illustrate the capability of the proposed procedure.

机译：该研究提出了一种获得连续光束符号解的直接方法。外部施加的集中力，分布力和力矩偶合由阶跃/奇异函数表示。使用Mathematica进行控制微分方程的积分以及边界和支撑条件的求解。该代码的输出产生光束偏转及其导数以及所有支座反作用力和力矩的封闭形式的符号解。给出了几个例子来说明所提出程序的能力。

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来源
《International Journal of Mechanical Engineering Education》 |2008年第1期|p.69-76|共8页
作者
Husain Jubran Al-Gahtani;
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作者单位

Civil Engineering Department, Box 800, KFUPM, Dhahran 31261, Saudi Arabia;

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原文格式 PDF
正文语种 eng
中图分类机械、仪表工业;
关键词
continuous beam; symbolic computation; computer algebra; Mathematica;

机译：连续光束;符号计算;计算机代数;Mathematica;

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Symbolic analysis of continuous beams

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