线性荷载作用下外简支环板的极限荷载分析  

Limit Load Analysis of Simply Supported Annular Plate under Linear Load

作　　者：李巧燕[1] 赵均海[1] 魏雪英[1] 张凤华[1] 

机构地区：[1]长安大学建筑工程学院,西安710061

出　　处：《力学季刊》2006年第4期635-641,共7页Chinese Quarterly of Mechanics

基　　金：教育部博士点基金资助项目(20040710001)

摘　　要：对于线性荷载作用下外简支环板,引入统一强度理论,进行了极限荷载分析。并分别求出了两种特殊形式的线性荷载作用下的极限荷载统一解,得出参数b值及材料的拉压比α对极限荷载的影响曲线。统一强度理论中,选择不同的参数b,可以得到一系列不同的屈服准则,不同的b值可以对应不同的工程材料,其中b=0和b=1分别给出了下限解和上限解。工程实际中,α可根据实际材料的拉压强度直接确定。当α=1时,统一强度理论适用于拉压强度相同的材料,当a≠1时,适用于拉压强度不同的材料。因此文中所给出的解可以灵活应用于各种性能的材料,可以充分反映材料的SD效应及中间主应力效应。已有的Tresca准则,Mises准则,双剪应力屈服准则以及双剪统一屈服准则的解答均为本文解答的特例或线性逼近。For simply supported annular plate under linear load, the limit load analysis was investigated by applying unified strength theory. The unified solutions of load capacities of simply supported annular plate under two kinds of especial linear load were derived. The influences of coefficient b and the tension compression ratio α on the plastic limit load were presented. Maximum and minimum plastic limit solutions can be deduced by selecting coefficient b in the unified strength theory. Choosing different coefficient b, a series of different yield criterions were got. Different coefficient b is corresponding to different engineering material. In the practical engeneering, α can be obtained according to the tension compression strength of the pratical material. When α - 1, the unified strength theory can be used in the material of same tension compression strength. When α≠1, it can be used in the material of different tension compression strength. The obtained results can be used to fit the properties of different kinds of materials with SD effect and intermediate stress effect. The solutions based on Tresca, Mises, twin shear yield criterion and twin shear unified yield criterion are the special cases or linear approximation of the solutions.

关 键 词：统一强度理论 环形板 塑性极限 SD效应 双剪理论 

分 类 号：O346[理学—固体力学] O344.5[理学—力学]