固支圆板在线性荷载作用下的极限解  

Plastic Limit Analysis of Clamped Circular Plate under Linear Distributed Load

作　　者：叶玉[1] 张兆强[2] 王凯[2] 赵王涛[2] 

机构地区：[1]西安医学院基建处,陕西西安710068 [2]西南科技大学土木工程与建筑学院,四川绵阳621010

出　　处：《延安职业技术学院学报》2009年第4期69-72,共4页Journal of Yan’an Vocational & Technical College

摘　　要：运用双剪统一屈服准则,对线性荷载的两种不同分布形式作用下的固支圆板进行了弹塑性分析,分别得出了相应的统一解形式。选择不同的参数,利用本文的解可以得到一系列不同屈服准则下的极限荷载和极限荷载随不同屈服准则的变化曲线。所给出的统一解适用于各种拉压强度相同的材料。文献中已有的Mises解是本文解答的逼近。计算结果表明,应用双剪统一屈服准则可以得出更符合材料性质的极限荷载,可以更好地发挥材料的强度潜力,在工程应用中取得显著的经济效益。Based on the Twin Shear Unified Yield Criterion,the ultimate load of clamped circular plates under linear distributed load is obtained. Using different value of coefficient , a series of new results based on different strength theories and the relative curves between limit load and coefficient also can be obtained. The obtained result is suitable for most materials whose tension-compression strength is equal. The solution based on Mises Criterion is the approximation of the result of the unified solution. The results show that,the more accurate ultimate load which accords with the properties of materials can be got by using the Twin Shear Unified Yield Criterion. So the potential strength of materials can be fully applied in the relevant engineering structures and the obvious economy benefit also can be obtained.

关 键 词：双剪统一屈服准则 塑性极限 固支圆板 线性分布荷载 

分 类 号：TB115[理学—数学]