| 薄板弯曲理论中一个新的广义变分原理及其交替max,min性质 |
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| 引用本文： | 胡海昌.薄板弯曲理论中一个新的广义变分原理及其交替max,min性质[J].力学学报,1990(4). |
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| 作者姓名： | 胡海昌 |
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| 摘 要： | 本文在薄板弯曲的经典理论中提出一个以挠度、横向剪应变、曲率、弯矩、横向剪力、边界上的未知反力为自变函数的新的变分原理,在对自变函数预加不严厉的约束后,新泛函具有一连串交替max,min的性质。
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| 关 键 词： | 薄板弯曲问题 弹性力学变分原理 有限单元法 |
A NEW GENERALIZED VARIATIONAL PRINCIPLE AND ITS max,min PROPERTY IN THIN PLATE THEORY |
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| Hu Haichang.A NEW GENERALIZED VARIATIONAL PRINCIPLE AND ITS max,min PROPERTY IN THIN PLATE THEORY[J].chinese journal of theoretical and applied mechanics,1990(4). |
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| Authors: | Hu Haichang |
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| Institution: | Hu Haichang |
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| Abstract: | A new generalized variational principle in classical thin plate theory is proposed with deflection, transverse shear deformation, curvature, internal moment, transverse shearing force and unknown boundary reaction as argument functions. By applying slight restrictions to the argument functions, the new functional possesses the property of consecutive alternate max min. |
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| Keywords: | plate bending problem varaational principle of elasticity finite element method |
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