截面连续变化悬臂构件挠度计算的等效柱法  

Deflection Calculation of Continuously Variable Cross-Section Cantilever Member by Equivalent Column Method

作　　者：高轩能[1] 朱皓明[1] 沈剑波[1] 

机构地区：[1]华侨大学土木工程学院,福建泉州362021

出　　处：《数学的实践与认识》2011年第8期67-72,共6页Mathematics in Practice and Theory

基　　金：厦门市科技计划项目(3502Z20073036)

摘　　要：基于最大位移相等原理,应用辛普生积分公式导出了截面连续变化悬臂构件挠度计算的等效柱法,将变截面构件挠度计算的复杂积分运算转化为等截面等效柱的惯性矩计算,力学概念明确.算例表明,等效柱法简便实用,适用性广,精度较高,是截面连续变化构件挠度计算的有效方法.Based on the principle of equal end-displacement of the member, the equivalent column method for deflection calculation of the continuously variable cross-section cantilever member was deduced by employing Simpson integration formula, by which the complicated integration of deflection calculation of the variable cross-section cantilever member was transformed into the calculation of inertia moment of equivalent column section. And the mechanics concept of the equivalent column method is explicit. Numerical examples showed that the equivalent column method is simple. widely suitable and very accurate, and it is an effective method for deflection calculation of the continuously variable cross-section members.

关 键 词：变截面悬臂构件 挠度 等效惯性矩 辛普生积分公式 等效柱法 

分 类 号：TB115[理学—数学]