楔形变截面钢-混凝土组合梁弯曲和自由振动的求积元分析  

Flexural and free vibrational analysis of tapered partially steel-concrete composite beams using the weak form quadrature element method

作　　者：申志强[1] 夏军 吴克刚[1] 胡其高[1] 程盼 SHEN Zhiqiang;XIA Jun;WU Kegang;HU Qigao;CHENG Pan(College of Military Basic Education, National University of Defense Technology, Changsha 410072, China;College of Aeronautics and Astronautics, National University of Defense Technology, Changsha 410073 , China)

机构地区：[1]国防科技大学军事基础教育学院,湖南长沙410072 [2]国防科技大学空天科学学院,湖南长沙410073

出　　处：《国防科技大学学报》2018年第1期42-48,共7页Journal of National University of Defense Technology

基　　金：国家自然科学基金资助项目(51508562;51378294)

摘　　要：基于改进的Newmark组合梁模型和平面应力模型分别建立考虑界面滑移的楔形变截面钢-混凝土组合梁的一维和二维求积元单元。对组合梁的弯曲、自由振动问题进行计算分析,将两类单元的计算结果进行比较和讨论。结果表明,对于工程结构中常见的楔形变截面组合梁的弯曲问题,可以采用自由度较少,计算成本较低的一维模型;对于自由振动问题,一维模型可以较为准确地描述一阶振动模态;若需对高阶振动模态进行分析,可选用更为准确的二维模型。Quadrature element formulations for tapered partially steel-concrete composite beams were established based on the Newmark model and the plane stress model respectively.Deformation of tapered partially composite beams under distributed loading and free vibrational problems with two representative boundary conditions were examined.It is shown that for slender and slightly tapered composite beams common in engineering the proposed1D quadrature element model is effective enough for flexural and fundamental frequency analysis.Moreover,the2D quadrature element model is capable of providing better results when needed.

关 键 词：楔形变截面组合梁 界面滑移 弯曲 自由振动 求积元 

分 类 号：TN95[电子电信—信号与信息处理]