简支圆板在复杂荷载作用下的塑性极限荷载统一解析解  

Unified Plastic Limit Analyses of Simply Supported Circular Plates under Complicated Load

作　　者：王延斌[1] 俞茂宏[1] 

机构地区：[1]西安交通大学建筑工程与力学学院,西安710049

出　　处：《力学季刊》2002年第4期575-582,共8页Chinese Quarterly of Mechanics

摘　　要：本文采用双剪统一屈服准则对受线性荷载和边缘弯矩联合作用下的简支圆板进行了塑性极限分析,考虑了联合作用的两种形式,分别给出了统一的解析解。得到了极限荷载随不同屈服准则的变化曲线。对于不同的材料,本文均能给出相应的极限荷载。已有的Tresca准则、Von Mises准则、双剪应力准则的解答是文中解答的特例或逼近。本文得到的一系列有规则变化的解析解,可以适用于各种拉压强度相同材料的简支圆板的塑性极限荷载求解。文中统一解大于Tresca单剪理论解,它可以更好地发挥材料的强度潜力,工程应用可以取得明显的经济效益。This paper calculate the plastic limit load of simply supported circular plates based on the unified yield criterion under linear distributed load and edge moment. The relative curves between limit load and weighed parameter b are also obtained. It has been found that the solutions of Tresca criterion, Von Mises criterion and twin-shear stress criterion are all special cases or approximation of the results of this unified solution. The solution of this paper is suitable for the materials of same tensile and compressive strength. A series of new results are also obtained in this paper which are greater than the result of Tresca criterion, so the potential strength of materials can be fully applied in the relevant engineering structures.

关 键 词：双剪统一屈服准则 塑性极限荷载 简支圆板 线性荷载 边缘弯矩 

分 类 号：O346[理学—固体力学] TH123[理学—力学]