带有任意弹性支撑的大型有面外支撑杆X撑结构屈曲分析  

BUCKLING ANALYSIS OF LARGE OUT-OF-PLANE X-BRACE STRUCTURE WITH ARBITRARY ELASTIC SUPPORT

作　　者：崔哲华 康元顺 张伟为 曾晓辉[1,3] CUI Zhe-hua;KANG Yuan-shun;ZHANG Wei-wei;ZENG Xiao-hui(Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China;School of Future Technology,University of Chinese Academy of Sciences,Beijing 100049,China;School of Engineering Science,University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]中国科学院力学研究所,北京100190 [2]中国科学院大学未来技术学院,北京100049 [3]中国科学院大学工程科学学院,北京100049

出　　处：《工程力学》2023年第S01期147-157,共11页Engineering Mechanics

基　　金：国家自然科学基金项目(11672306)。

摘　　要：X型支撑结构已广泛应用于大型海洋工程主要支撑结构设计中,如设计使用不当,将有可能发生由支撑杆的屈曲失稳而引发的结构坍塌变形。在极限荷载下,X撑杆的屈曲失稳本质上属于典型的多跨压杆稳定问题,其极限承载力与撑杆的结构组成、几何参数以及端部约束密切相关。该文主要研究有(无)面外支撑的非对称交叉支撑体系在任意弹性支撑下X撑结构屈曲特性,侧重于考察端部约束、受力形式、面外支撑刚度等因素的影响。首先基于线弹性理论框架,建立了双跨受压杆件平衡方程,利用牛顿迭代算法进行屈曲载荷计算,从而得到跨中连续的非对称交叉支撑杆的有效长度因子数值解,并对端点支撑刚度和跨中支撑刚度进行了敏感性分析。结合工程实践,给出了杆件屈曲长度系数和刚度约束条件关键设计参数。The X-braced structure has been widely used in the design of major support structures in large-scale ocean engineering,the collapse deformation of the structure may be caused by the buckling instability of the support rod if it is not designed properly.Under the ultimate load,the buckling instability of X-braced structure is a typical multi-span stability problem of columns in essence,and its ultimate bearing capacity is closely related to the structural composition,geometric parameters and end restraint of the strut.This paper mainly studies the buckling characteristics of X-braced structures with or without out-of-plane support under arbitrary elastic supports,focusing on the influence of end constraints,force forms and out-of-plane bracing stiffness.Firstly,based on the linear elastic theory framework,the equilibrium equation of double span compression bar was established,and the buckling load was calculated by newton iterative algorithm,so as to obtain the numerical solution of effective length factor for continuous asymmetric cross struts in mid-span,and the sensitivity analysis of the end support stiffness and mid-span support stiffness is also carried out.Combined with engineering practice,the key design parameters,such as buckling length coefficient and stiffness,are given.

关 键 词：任意弹性支撑 屈曲分析 牛顿迭代法 屈曲长度系数 X撑结构 刚度约束 

分 类 号：TU312[建筑科学—结构工程]