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两个新的厚板弯曲三类变量广义变分原理

Two New Three Field Generalized Variational Principles Applied to Thick Plate Bending

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【作者】 蒋友谅;

【Author】 Jiang Youliang (Department of Applied Mechanics)

【机构】 北京理工大学应用力学系;

【摘要】 为了对厚板弯曲问题近似解法提供更多的理论基础,本文在厚板弯曲问题最小势能/余能原理的一种新提法的基础上,用线性Lagrange乘子法,解除包括广义应力-广义应变关系在内的全部变分约束条件,建立了厚板弯曲问题新的三类变量广义势能/余能原理。

【Abstract】 Based on a new proposition of the principle of minimum potential / complementary energy for the thick plate bending problem , a new three field generalized potential / complementary energy principle for such problems is established , applying the lagrange multiplier method , to release all the variational constraint conditions , including the relation between generalized stress and generalized strain, so as to provide more theoretical basis to approximate solutions to the problems .

  • 【文献出处】 北京理工大学学报 ,Journal of Beijing Institute of Technology , 编辑部邮箱 ,1990年04期
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