梁挠曲轴方程的拉普拉斯变换求解  

Solution of beam deflection curve based on laplace transformation

作　　者：赵毅力[1] 冯旭[1] 

机构地区：[1]杨凌职业技术学院,陕西杨凌712100

出　　处：《西北农林科技大学学报（自然科学版）》2006年第9期176-178,共3页Journal of Northwest A&F University(Natural Science Edition)

基　　金：陕西省水利科技计划项目(SK2003-12)

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。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.

关 键 词：静定梁 挠曲轴方程 单位阶跃函数 拉普拉斯变换 

分 类 号：TU311.4[建筑科学—结构工程]