线性和均布荷载共同作用下简支圆板的极限荷载

采用统一屈服准则对线性和均布荷载共同作用下的简支圆板进行了塑性极限分析,并考虑了2种荷载形式,分别得出了极限解的表达式.通过变化解中参数值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变化的曲线.所得结果适用于各种拉压强度性质相同的材料,根据不同的材料取不同的参数值,可以得出对应材料的极限荷载.已有的Mises解是该文解的特例,从该文的统一解可知,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的意义,可使工程取得更好的经济效益.

Critical Load of Simply Supported Circular Plates Under Linear and Uniformly Distributed Load

The plastic critical analysis of simply supported circular plates based on unified yield criterion under linear and uniformly distributed load was carried out,and two forms of loads were considered.The unified solutions which consisted of a series of analytical solutions based on different yield criterions were obtained and the relative curves between critical load and parameter value were also gained.The results of this paper can be used in the different materials of the same tension and compression strength by choosing different parameter values in the unified solutions.The solution of Mises criterion is a special case of the unified solutions.From the unified solutions,correct understanding the material strength and reasonable applying the yield criterion are very important to bring out latent potentialities in material strength. It has profitable economic benefits in the engineering applications.