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梁挠曲轴方程的拉普拉斯变换求解
引用本文:赵毅力,冯 旭.梁挠曲轴方程的拉普拉斯变换求解[J].西北农林科技大学学报(社会科学版),2006,34(9):176-178.
作者姓名:赵毅力  冯 旭
作者单位:杨凌职业技术学院,陕西,杨凌,712100
摘    要:针对工程实际中,在用积分法求解若干荷载作用下的静定梁变形时,计算过程繁琐的问题,本研究将单位阶跃函数引入梁挠曲轴近似微分方程中,再应用拉普拉斯变换方法求解梁挠曲轴近似微分方程,并用实际算例对其进行了验证。结果表明,该方法求解步骤规范,计算量小,方法简捷。

关 键 词:静定梁  挠曲轴方程  单位阶跃函数  拉普拉斯变换
文章编号:1671-9387(2006)09-0176-03
收稿时间:2006-03-07
修稿时间:2006年3月7日

Solution of beam deflection curve based on laplace transformation
ZHAO Yi-li,FENG Xu.Solution of beam deflection curve based on laplace transformation[J].Journal of Northwest Sci-Tech Univ of Agr and,2006,34(9):176-178.
Authors:ZHAO Yi-li  FENG Xu
Institution:Yangling Vocational a nd Tech nical College, Yangling, Shaanxi 712100, China
Abstract:Focused on the complicated calculation in solving the deformation of statically determinate beam under several loads with calculus in practice ,unite-step function is introduced in this procession for simplification,and Laplace transformation method is applied as well to solve approximately deferential equation of defection curve. The results of the demonstration show that this is a standard procedure,and it is an easy method with less calculation.
Keywords:statically determinate beam  equation of deflection curve  unit-step function  laplace transformation
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