| 任意厚度横观各向同性地基板的混合变分解 |
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| 引用本文： | 高荣誉,盛宏玉. 任意厚度横观各向同性地基板的混合变分解[J]. 工业建筑, 2004, 34(10): 40-43 |
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| 作者姓名： | 高荣誉 盛宏玉 |
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| 作者单位： | 安徽建筑工业学院,土木工程系,合肥,230022;合肥工业大学,土木工程学院,合肥,230009 |
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| 基金项目： | 安徽省教育厅自然科学基金资助项目 (编号 :97JL0 12 )，安徽省科技厅重点科研项目 (编号 :0 2 0 2 10 3 3 ) |
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| 摘 要： | 根据应力变分方程和伽辽金变分方程原理 ,推导出混合变分方程 ,并将其转换成状态方程 ,使状态空间理论和变分解相结合。将地基反力作为非独立状态变量直接引入到状态方程表达式中 ,给出横观各向同性地基厚板的变分解。对数值结果与精确解进行了对比 ,结果吻合较好
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| 关 键 词： | 横观各向同性 地基厚板 状态方程 变分解 |
| 修稿时间： | 2004-05-19 |
MIXED VARIATIONAL SOLUTIONS OF TRANSVERSE ISOTROPIC FOUNDATION PLATES WITH ARBITRARY THICKNESS |
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| Gao Rongyu. MIXED VARIATIONAL SOLUTIONS OF TRANSVERSE ISOTROPIC FOUNDATION PLATES WITH ARBITRARY THICKNESS[J]. Industrial Construction, 2004, 34(10): 40-43 |
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| Authors: | Gao Rongyu |
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| Abstract: | According to the stress and displacement variational principles, the mixed variational equations are established, from which the state equation is obtained. Thus, the theory of state space is combined with variational solution. The foundation reaction as non-independent state variable is introduced in the expression of state equation, and the variational solutions are presented for transverse isotropic foundation plates with arbitrary thickness. Numerical results are compared with exact solutions, whose result is satisfactory. |
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| Keywords: | transverse isotropic thick foundation plate state equation variational solution |
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