初始缺陷对任意边界板极限承载力的影响分析  

Effect of Initial Imperfections on Ultimate Capacity of Plates with Arbitrary Boundaries

作　　者：康孝先[1] 强士中[1] 

机构地区：[1]西南交通大学,成都610031

出　　处：《应用力学学报》2008年第4期664-668,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(50278079);交通部西部交通建设科技项目(200431822317)

摘　　要：板钢结构承载力分析最终可化简为对一任意边界的矩形板在面内荷载作用下的极限承载力分析。从含初始弯曲的大挠度方程出发,以板厚度的折减量为摄动参数,将残余应力考虑成等效荷载,根据实用板与理想板的比较,得出板的厚度折减量和板的极限承载力方程。通过与非线性有限元方法和已有试验数据的验证分析,表明折减厚度法适用范围广、安全、精度高,可作为非线性有限元方法的补充,大大简化了结构极限承载力分析的复杂性。Ultimate capacity analysis of steel plated structures finally can be idealized as an investigation on a rectangular plate with arbitrary boundaries under planar loads. Considering the residual stress as equivalent residual stress load, and the thickness discounted quantity of plate as perturbation parameter, the large deflection equations of plates with initial imperfections, was applied to assimilate the practical plates with the ideal plates, the thickness discounted quantity and the ultimate capacity equations of steel plated structures were aquired. According to the results of nonlinear FEA and experiments, the discounted-thick-ness method is verified to be effective with good accuracy, which can be regarded as a supplement for nonlinear FEA.

关 键 词：板 极限承载力 折减厚度法 残余应力 初始弯曲 

分 类 号：TU392.4[建筑科学—结构工程] U448.212[建筑科学—桥梁与隧道工程]