廣義變分原理在求解桿系裝配應力中的應用
發(fā)布時間:2018-08-29 14:38
【摘要】:利用拉格朗日乘數法建立廣義變分原理以求解有誤差桿件結構裝配應力.引入拉格朗日乘數并結合靜力平衡方程,構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)調方程,從而計算有誤差桿件結構的裝配應力.結果表明:該方法求解裝配應力的通用性較強,不但克服傳統(tǒng)幾何方法建立變形協(xié)調方程的缺陷,而且具有計算過程簡潔以及便于掌握等優(yōu)點.
[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】: 常州大學機械工程學院;江蘇省綠色過程裝備重點實驗室 常州大學;
【基金】:常州大學;鹳Y助項目(ZMF14020058)
【分類號】:TB12
[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】: 常州大學機械工程學院;江蘇省綠色過程裝備重點實驗室 常州大學;
【基金】:常州大學;鹳Y助項目(ZMF14020058)
【分類號】:TB12
【相似文獻】
相關期刊論文 前9條
1 何吉歡;湊合反推法──流體力學變分原理建立的一條新途徑[J];工程熱物理學報;1997年04期
2 鄒時智,黃忠霖,黃玉盈,金濤;非線性液固耦合系統(tǒng)的一個廣義變分原理[J];華中理工大學學報;1997年12期
3 孟,
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