变曲率曲梁挠曲扭转分析

FLEXURE-TORSION ANALYSIS OF CURVED BEAM WITH VARIABLE CURVATURE IN PLAN

本文首先导出了任意线形变曲率曲梁的基本微分方程,作为应用实例按伽辽金法求解微分方程,提出了分析变曲率简支曲梁的具体方法与公式。本文演引的实用挠曲扭转理论适用于任意线形变曲率曲梁,因此比现有理论有更广的应用范围,著名的Vlasov方程可看作本文所得基本微分方程的特例。

In this paper,the basic differential equations of curved beam with variable curvature in plan are first developed. As an applied example, the differential equations are solved by use of the Galerkin's method, the practical method and formulas for analyzing simple-supported curved beams are given. The practical flexure-torsion theory developed in this paper is adaptable to curved beams with variable curvature in plan and has wider application scope than the current theory. The well-known Vlasov's Equations can be taken as a particular example of the basic equations given in this paper.