| 直接确定Rayleigh阻尼系数的一种优化方法 |
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| 引用本文： | 潘旦光.直接确定Rayleigh阻尼系数的一种优化方法[J].工程力学,2013,30(9):16-21. |
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| 作者姓名： | 潘旦光 |
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| 作者单位： | 北京科技大学土木系，北京100083 |
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| 基金项目： | 国家自然科学基金项目(51078032) |
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| 摘 要： | 为避免构造Rayleigh阻尼矩阵过程中选择两阶参考振动模态的任意性，提出了一种直接确定Rayleigh阻尼系数的优化求解方法。在该方法中，利用输入时程的位移反应谱和模态分析结果，以结构某一动力反应的峰值误差构造目标函数，使目标函数取最小值即可得到Rayleigh阻尼系数的优化解。随后，以一栋5层剪切型建筑的谐振反应为例，系统研究了结构动力特性、激励空间分布和频谱特性对Rayleigh阻尼系数的影响。同时，验证所提方法的精度与有效性。
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| 关 键 词： | 动力反应 Rayleigh阻尼 优化分析 位移反应谱 动力特性 空间分布 频谱特性 |
| 收稿时间： | 2013-09-25 |
| 修稿时间： | 2013-09-25 |
AN OPTIMIZATION METHOD FOR THE DIRECT DETERMINATION OF RAYLEIGH DAMPING COEFFICIENTS |
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| PAN Dan-guang.AN OPTIMIZATION METHOD FOR THE DIRECT DETERMINATION OF RAYLEIGH DAMPING COEFFICIENTS[J].Engineering Mechanics,2013,30(9):16-21. |
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| Authors: | PAN Dan-guang |
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| Affiliation: | Department of Civil Engineering, University of Science and Technology Beijing, Beijing 100083, China |
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| Abstract: | In order to avoid an arbitrary selection of two reference vibration modes which are used to evaluate the two coefficients of Rayleigh damping,an optimization method for direct determination of the two Rayleigh damping coefficients is proposed. In the method,by formulating and minimizing an objective function which is an error term of the peak response at certain degree of a structure,the two coefficients can be systematically evaluated following the deformation response spectrum of excitation and modal analysis. Then,based on the harmonic response analysis of a five-storey shear building,the effects of both spatial distribution and frequency content of excitations and the effects of structural dynamic characteristics on selection of natural frequencies in Rayleigh damping are investigated in detail,and the accuracy and effectiveness of the proposed method are demonstrated. |
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| Keywords: | dynamic response Rayleigh damping optimization analysis deformation response spectrum dynamic characteristics spatial distribution frequency content |
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