统一强度理论下受特殊荷载的简支圆板极限荷载统一解

Unified plastic limit analyses of simply supported circular plates under special load base on unified strength theory

对于线性和均布荷载共同作用下的简支圆板,本文采用统一强度理论对其进行了塑性极限分析。考虑了两种作用形式,分别得出了统一解。利用该解可得出一系列不同屈服准则下的解析解和极限荷载随不同屈服准则的变化曲线。在统一强度理论中,不同的b值得到不同的屈服准则,对应不同的工程材料,其中α可根据实际的工程材料拉压强度比确定。当α≠1时,统一强度理论适用于拉压强度相同的材料,当α≠1时,适用于拉压强度不同的材料。已有的Mises解是本文解的特例,从文中的统一解得知,正确认识材料强度并合理运用屈服准则对发挥材料潜能具有重要意义。

As for simply supported circular plates under linear and uniformly distributed load ,This paper calculate the plastic limit load by applying unified strength theory （UST）. In this paper, two forms of load are considered. Unified solutions which consist of a series of solutions based on different yield criterion are obtained and the relative curves between limit load and weighted parameter b,α are also obtained. In the unified strength theory, choosing different coefficient b can get a series of different yield criterions,different coefficient b is corresponding to different engineering material, α can also be got according to the tension-compression strength of the pratical material. When α=1, unified strength theory （UST） can be used in the material of the same tension-compression strength, When α≠1, it can be used in the material of different tension-compression strength.The solution of Mises Criterion is a special case of the unified solution. From the unified solution, there are show that ,accurately to understanding the strength of material and reasonably to applying yield criterion are greatly important to bring the potential of material into full play.