| 叠层深梁的精确解 |
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| 引用本文： | 高荣誉,范家让. 叠层深梁的精确解[J]. 合肥工业大学学报(自然科学版), 2009, 32(5) |
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| 作者姓名： | 高荣誉 范家让 |
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| 作者单位： | 安徽建筑工业学院,土木工程学院,安徽,合肥,230022;合肥工业大学,土木与水利工程学院,安徽,合肥,230009 |
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| 基金项目： | 安徽省科技厅科研资助项目 |
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| 摘 要： | 从弹性力学的基本方程出发,抛弃任何有关应力和位移模式的假定,导出梁的状态方程,采用Cayley-Hamilton定理,有效处理重特征值问题,得出任意高跨比叠层深梁的精确解,并给出数值结果.
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| 关 键 词： | 叠层深梁 Cayley-Hamilton定理 状态方程 精确解 |
An exact solution of deep laminated beams |
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| GAO Rong-yu,FAN Jia-rang. An exact solution of deep laminated beams[J]. Journal of Hefei University of Technology(Natural Science), 2009, 32(5) |
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| Authors: | GAO Rong-yu FAN Jia-rang |
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| Affiliation: | 1.Dept.of Civil Engineering;Anhui Institute of Architecture & Industry;Hefei 230022;China;2.School of Civil and Hydraulic Engineering;Hefei University of Technology;Hefei 230009;China |
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| Abstract: | On the basis of elasticity,the state equation of elastic beams is established,and no assumptions of displacement and stress models are made.By using the Clayey-Hamilton theorem,repeated eigenvalues are dealt with effectively,and the exact solution is presented for laminated beams with arbitrary depth-span ratio.Numerical results are given. |
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| Keywords: | deep laminated beam Cayley-Hamilton theorem state equation exact solution |
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