| 阻尼周期结构的精确解析解 |
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| 引用本文： | 蔡铭 杨怡 等. 阻尼周期结构的精确解析解[J]. 中山大学学报论丛, 2000, 20(5): 14-17 |
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| 作者姓名： | 蔡铭 杨怡 等 |
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| 作者单位： | 中山大学应用力学与工程系，广东广州510275 |
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| 基金项目： | 中山大学高等学术研究中心基金 !(99M6)资助 |
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| 摘 要： | 对阻尼周期结构进行动力学分析，首先建立一个具有循环周期性的等价结构来代替所研究的阻尼周期结构，然后用U－变换法对此等价结构的动力学方程和连续条件进行解耦，求出解耦方程的解，再推出原周期结构的精确解析解。
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| 关 键 词： | 精确解析解 阻尼周期结构 循环周期性 U－变换法 动力学方程 结构振动 |
Exact Analytical Solutions of Damped Periodic Structures |
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| CAI Ming,YANG Yi,LIU Ji keDepartmentofAppliedMechanicsandEngineering,ZhongshanUniversity,Guangzhou ,China. Exact Analytical Solutions of Damped Periodic Structures[J]. Studies in Logic, 2000, 20(5): 14-17 |
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| Authors: | CAI Ming YANG Yi LIU Ji keDepartmentofAppliedMechanicsandEngineering ZhongshanUniversity Guangzhou China |
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| Affiliation: | CAI Ming,YANG Yi,LIU Ji keDepartmentofAppliedMechanicsandEngineering,ZhongshanUniversity,Guangzhou 510 2 75,China |
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| Abstract: | An analytical procedure for the dynamic analysis of damped periodic systems is presented. An equivalent system with cyclic periodicity is first formed to replace the original periodic system. The U transformation method is then used to uncouple the dynamic equations and the continuity conditions of the equivalent system. Consequently the exact analytical solutions can be easily obtained. |
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| Keywords: | damped periodic structure cyclic periodicity U transformation method |
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