| 弹性薄板大挠度问题两类变量的广义变分原理 |
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| 引用本文： | 刘宗民,梁立孚,宋海燕.弹性薄板大挠度问题两类变量的广义变分原理[J].东北林业大学学报,2008,36(6):68-73. |
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| 作者姓名： | 刘宗民 梁立孚 宋海燕 |
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| 作者单位： | 哈尔滨工程大学,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金
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教育部高等学校博士学科点专项科研基金
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哈尔滨工程大学校科研和教改项目 |
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| 摘 要： | 应用变积方法,按照广义力和广义位移之间的对应关系,将弹性薄板大挠度问题的平衡方程和几何方程乘上相应的虚量,然后积分,代数相加,代入本构关系,建立弹性薄板大挠度问题两类变量的广义势能原理。通过代入另一类本构关系,再应用类似如上的方法,建立弹性薄板大挠度问题两类变量的广义余能原理。再将这两种两类变量的广义变分原理分别退化到弹性薄板大挠度问题的势能原理和余能原理。
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| 关 键 词： | 变积方法 大挠度 两类变量广义变分原理 |
| 修稿时间： | 2007年9月26日 |
Generalized Variational Principles for Two Kinds of Variables of Elastic Thin Plate with Large Deflection |
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| Liu Zongmin,Liang Lifu,Song Haiyan.Generalized Variational Principles for Two Kinds of Variables of Elastic Thin Plate with Large Deflection[J].Journal of Northeast Forestry University,2008,36(6):68-73. |
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| Authors: | Liu Zongmin Liang Lifu Song Haiyan |
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| Abstract: | According to the corresponding relations between generalized forces and generalized displacements,the balancing and geometrical equations of elastic thin plate with large deflection are multiplied by corresponding virtual quantities,integrated and then added algebraically.Proceeding to the next step,by substituting constitutive relation,the generalized potential energy principles for two kinds of variables of elastic thin plate with large deflection are established by the variational integral method.Through substituting another constitutive relation and using the similar methods as above,the generalized complementary energy principles are also given.The two generalized variational principles with two kinds of variables are degenerated into potential energy principles and complementary energy principles for elastic thin plate with large deflection. |
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| Keywords: | Variational integral methods Large deflection Generalized variational principles with two kinds of variables |
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