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：赵均海[1] 张兆强[1] 魏雪英[1] 刘彦东[1] 

机构地区：[1]长安大学建筑工程学院,陕西西安710061

出　　处：《长安大学学报（自然科学版）》2008年第1期81-86,共6页Journal of Chang’an University(Natural Science Edition)

基　　金：教育部博士点基金资助项目(20040710001);陕西省自然科学基金项目(2005E204)

摘　　要：采用统一强度理论,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以及统一强度理论参数b和拉压强度比α对塑性极限的影响曲线。当α一定时,极限荷载随b的增大而增大;当b一定时,极限荷载随α的增大而减小。所给出的统一解具有普遍性,既可以适用于拉压强度不等的材料,也可以适用于拉压强度相等的材料。选择不同的参数b,可以得到一系列从单剪到双剪应力强度理论的极限荷载,b=0和b=1分别为下限解和上限解。计算结果表明,应用统一强度理论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 unified-strength-theory, the ultimate load of clamped circular plates under linear distributed load is obtained. The effects of the coefficient b and the tension-compression ratio α on the plastic limit load are investigated. When a is fixed,the ultimate load increases with the increase of b, when b is fixed, the ultimate load is diminished by the increase of α. The obtained result is suitable for most materials,whether its tension-compression strength is equal or not. Using different value of coefficient b,a series of new results based on different strength theories from the single-shear-strength-theory to the twin-shear-strength-theory also can be obtained,b=0 or 1 is the lower and upper limit,respectively. The results show that the more accurate ultimate load which accords with the properties of materials can be got by using the unified-strength-theory. So the potential strength of materials can be fully applied in the relevant engineering structures, and the obvious economy benefit also can be obtained. 6 figs, 8 refs.

关 键 词：塑性力学 统一强度理论 塑性极限 固支圆板 线性分布荷载 

分 类 号：O346[理学—固体力学] O344.5[理学—力学]