简支梁弹性临界弯矩计算方法研究进展  

Research process of elastic critical moment of simple beams

作　　者：郭兵[1] 孙乃毅 杨大彬[1] 

机构地区：[1]山东建筑大学土木工程学院,山东济南250101 [2]荣成市建筑工程质量造价监督管理站,山东荣成264300

出　　处：《山东建筑大学学报》2017年第1期69-77,共9页Journal of Shandong Jianzhu University

基　　金：国家自然科学基金项目(51308326)

摘　　要：整体稳定系数是计算刚结构受弯构件整体稳定的重要依据,而弹性临界弯矩是影响整体稳定系数的主要因素,因此弹性临界弯矩准确与否直接影响稳定计算结果。目前,简单条件下简支梁弹性临界弯矩的计算方法采用的是精确法,但适用范围有限;复杂条件下简支梁弹性临界弯矩的计算方法采用的是简化法,对于任意荷载和侧向支撑条件下的简支梁临界弯矩,只能借助等效弯矩系数来进行简化计算。文章阐述了简单条件下的精确法、复杂荷载下的精确法、复杂条件下的简化法等不同结构荷载条件下求解临界弯矩方法的研究进展,通过研究在荷载作用点位置、相邻梁段间的支持、整体稳定系数等影响因素,阐述了复杂条件下弹性临界弯矩计算的简化法存在的问题、影响及根源,对复杂条件下的简支梁弹性临界弯矩计算的能量法进行了展望。The overall stability coefficient is an important basis for calculating the structure just by the overall stability of bending member.Elastic critical moment is the main factor affecting the diameter of the overall stability coefficient so the accuracy directly affects the stability of the calculation results.The calculation method of critical elastic moment of simple beam under simple conditions is accurate method,but the application scope is limited;the calculation method of critical moment of elastic beam under complex conditions is the simplified method,and the critical moment for beam arbitrary loading and lateral support conditions,only to simplify the calculation by means of equivalent bending moment coefficient.This paper expounds the simple conditions,exact method under complex load under complicated conditions,exact method simplified method of different load conditions for the critical moment of critical moment method and the research progress in influence factors through the research on the position of the loading point and the adjacent beam segment between the support and the overall stability coefficient under the influence of the simplified method under complex conditions elastic critical moment calculation problems and causes,and makes prospect for the energy method for the calculation of critical moment of elastic beam under complex conditions.

关 键 词：简支梁 弹性临界弯矩 简化法 等效弯矩系数 总势能 

分 类 号：TU391[建筑科学—结构工程]