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cases,their distributive forms can be determined by experiment,by comparision, by judgement of designer,Also their stochastic natures may be determined by the method of Maximum Entropys)and Moment Principle method.It is very convenient to use the last two methods to determine distributive nature of a stochastic function,For a function of 3M s=50t3 where the independent random variables are M and f.Their density functions are defined numerically as follows,and plotted in Fig.1. 1D0 7000.090 Bending moment/N.cm 0.314 Thickness/cm Fig.I Density functions of stochastic variables By the Moment Principle method,the expression of density function f(s)was got,and plotted in Fig.2.The expression is: 1030 50 70 90 110 Stress/N.cm-2 Fig.2 Density function from moment principle methocl f(s)=exp(-17.238+3.995e4s-6.957e-9.s2+3.143e-14.s8) In a general way,the design specifications are linear or nonlinear functions of stochastic variables and parameters,which may be represented as Y=f(X,W)=f(X1,X2…,Xw,W1,W2,…,W.), (2) f(X,形),X,W∈(2,T,P) Suppose that s is a specific value and is not necessarily constant,then the probability that satisfies Y>S can be calculated as 454, , , 〔 〕 位 〔 充〕 。 五 。 几 几 刀伟︸工名‘ 口‘伟 几口一心 。 一﹄ 五 八 。 , 。 令 ‘ 孑 了 口 功 七 ,爪 。 卜主。 已 , 〔 〕 , “ , 。 升 , 咖 一 垃 亡 一 。 , 一 一 。 一 。 “ 。 一 “ 一 “ 叭 , 。 , , 牙 , 一 , 二 , 平 , 平 , , 平 , , 牙 , , 牙 〔 口 , , , , 乒 拜 林 魂 拜
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