【摘要】：利用拉格朗日乘數(shù)法建立廣義變分原理以求解有誤差桿件結(jié)構(gòu)裝配應(yīng)力.引入拉格朗日乘數(shù)并結(jié)合靜力平衡方程,構(gòu)造無條件廣義變分原理的新泛函,求解新泛函的極值問題,獲得超靜定的變形協(xié)調(diào)方程,從而計(jì)算有誤差桿件結(jié)構(gòu)的裝配應(yīng)力.結(jié)果表明:該方法求解裝配應(yīng)力的通用性較強(qiáng),不但克服傳統(tǒng)幾何方法建立變形協(xié)調(diào)方程的缺陷,而且具有計(jì)算過程簡潔以及便于掌握等優(yōu)點(diǎn).
[Abstract]:The generalized variational principle is established by Lagrange multiplier method to solve the assembly stress of rod structure with errors. A new functional of unconditional generalized variational principle is constructed by introducing Lagrange multiplier and static equilibrium equation to solve the extremum problem of the new functional and to obtain the deformation coordination equation of statically indeterminate. Thus the assembly stress of the member structure with errors is calculated. The results show that this method is very versatile in solving assembly stress. It not only overcomes the defects of the traditional geometric method in establishing the deformation coordination equation, but also has the advantages of simple calculation process and easy to master.
【作者單位】： 常州大學(xué)機(jī)械工程學(xué)院;江蘇省綠色過程裝備重點(diǎn)實(shí)驗(yàn)室 常州大學(xué);
【基金】：常州大學(xué)校基金資助項(xiàng)目(ZMF14020058)
【分類號】：TB12

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