| 弹性力学求解体系的研究 |
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| 引用本文： | 罗建辉,刘光栋,尚守平. 弹性力学求解体系的研究[J]. 应用数学和力学, 2003, 24(7): 755-763 |
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| 作者姓名： | 罗建辉 刘光栋 尚守平 |
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| 作者单位： | 湖南大学土木工程学院, 长沙 410082 |
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| 摘 要： | 证明了弹性力学求解体系的微分形式与积分形式的等价关系,建立了统一求解体系构架.新体系包括微分形式、积分形式及混合形式.利用微分形式与积分形式的等价关系,导出了各种变分原理.提出了广义虚功方程和广义虚函数的概念.
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| 关 键 词： | 弹性力学 变分原理 虚功方程 |
| 文章编号： | 1000-0887(2003)07-0755-09 |
| 收稿时间： | 2001-09-17 |
| 修稿时间： | 2001-09-17 |
Research on a Systematic Methodology for Theory of Elasticity |
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| LUO Jian_hui,LIU Guang_dong,SHANG Shou_ping. Research on a Systematic Methodology for Theory of Elasticity[J]. Applied Mathematics and Mechanics, 2003, 24(7): 755-763 |
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| Authors: | LUO Jian_hui LIU Guang_dong SHANG Shou_ping |
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| Affiliation: | College of Civil Engineering, Hunan University, Changsha 410082, P. R. China |
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| Abstract: | The equivalence between differential form and integral form of a systematic methodology for theory of elasticity is proved. A uniform framework of the systematic methodology is established. New system includes differential form, integral form and mixed form. All kinds of variational principles are proved by the equivalence between differential form and integral form. The idea for generalized virtual work and virtual function is presented. |
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| Keywords: | theory of elasticity variational principle equation of virtual work |
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