广义变分原理在求解杆系装配应力中的应用
发布时间：2018-08-29 14:38
【摘要】：利用拉格朗日乘数法建立广义变分原理以求解有误差杆件结构装配应力.引入拉格朗日乘数并结合静力平衡方程,构造无条件广义变分原理的新泛函,求解新泛函的极值问题,获得超静定的变形协调方程,从而计算有误差杆件结构的装配应力.结果表明:该方法求解装配应力的通用性较强,不但克服传统几何方法建立变形协调方程的缺陷,而且具有计算过程简洁以及便于掌握等优点.
[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.
【作者单位】： 常州大学机械工程学院;江苏省绿色过程装备重点实验室 常州大学;
【基金】：常州大学校基金资助项目(ZMF14020058)
【分类号】：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.
【作者单位】： 常州大学机械工程学院;江苏省绿色过程装备重点实验室 常州大学;
【基金】：常州大学校基金资助项目(ZMF14020058)
【分类号】：TB12
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1 何吉欢;凑合反推法──流体力学变分原理建立的一条新途径[J];工程热物理学报;1997年04期
2 邹时智,黄忠霖,黄玉盈,金涛;非线性液固耦合系统的一个广义变分原理[J];华中理工大学学报;1997年12期
3 孟，
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