摘要
基于刚性基底的矩形板面内受压作用下的单向屈曲问题已有一些研究成果,而基于刚性基底的矩形板面内剪切受力条件下的单向屈曲问题国内尚无相关文献报道。通过对基于刚性基底的周边不同约束矩形板面内剪切受力条件下的单向屈曲行为的分析研究,采用Rayleigh-Ritz变分法建立了满足上述边界条件的板的弹性屈曲计算理论,得出简支边界薄板的临界屈曲系数κcr=7. 2,与国外相关文献采用有限单元法推导的κcr值偏差为7. 8%,得出固支边界薄板的临界屈曲系数κcr=13. 06,与国外相关文献采用微分方程法推导的κcr值偏差为7. 4%。研究结果表明:该计算理论有广泛的适用性。
Unilaterally buckling under compression in rectangular plates with rigid base has been studied,however, there is no relevant literature on unilaterally buckling under shear stress in rectangular plate based on rigid base. In the paper, the unilaterally buckling behavior of a rectangular plate subjected to shearing force was analyzed and studied under the condition of simply supported edges based on a rigid base. A formula for calculating elastic buckling of plates satisfying the above boundary conditions was established by Rayleigh Ritz method,it was concluded that critical buckling coefficient of the plate simply supported boundary κ cr =7.2, comparedwith foreign literature using finite element method of κ cr value, the deviation was 7.8%;the critical buckling coefficient of the plate clamped supported boundary κ cr =13.06, compared with foreign literature using differential equation method of κ cr value the deviation was 7.4%. The results showed that the elastic buckling calculation theory had a wide applicability.
作者
郑艳
向勇斌
莫时旭
ZHENG Yan;XIANG Yongbin;MO Shixu(Guangxi Key Laboratory of New Energy and Building Energy Saving, Guilin 541004, China;College of Civil Engineering and Architecture, Guilin University of Technology, Guilin 541004, China)
出处
《钢结构》
2019年第3期16-21,共6页
Steel Construction
基金
国家自然科学基金项目(51108109
51168011)
广西建筑新能源与节能重点实验室开放研究基金资助项目(桂科能17-J-21-4)
