| 正交各向异性叠层板的非线性主共振分析 |
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| 引用本文： | 吕书锋,胡宇达.正交各向异性叠层板的非线性主共振分析[J].动力学与控制学报,2009,7(1):35-38. |
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| 作者姓名： | 吕书锋 胡宇达 |
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| 作者单位： | 燕山大学建筑工程与力学学院,秦皇岛,066004 |
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| 摘 要： | 研究了在四边简支的边界条件下，正交各向异性矩形叠层板在横向简谐激励作用下的非线性主共振及其稳定性问题．在给出了正交各向异性叠层板的振动微分方程的基础上，利用伽辽金法导出了相应的达芬型非线性强迫振动方程．应用平均法对主共振问题进行求解，得到了系统在稳态运动下的幅频响应方程．基于李雅普诺夫稳定性理论，得到了解的稳定性判定条件．作为算例，分别给出了不同条件下，系统运动的幅频响应曲线图、振幅-激励幅值响应曲线图和动相平面图，并对解的稳定性进行了分析，讨论了各参数对系统非线性振动特性的影响．
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| 关 键 词： | 正交各向异性 叠层板 主共振 稳定性 平均法 |
| 收稿时间： | 2008/9/19 0:00:00 |
| 修稿时间： | 2008/10/10 0:00:00 |
Nonlinear principal resonance of orthotropic laminated plates |
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| Lu Shufeng and Hu Yuda.Nonlinear principal resonance of orthotropic laminated plates[J].Journal of Dynamics and Control,2009,7(1):35-38. |
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| Authors: | Lu Shufeng and Hu Yuda |
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| Affiliation: | School of Civil Engineering and Mechanics;Yanshan University;Qinhuangdao 066004;China |
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| Abstract: | The stability and nonlinear principal resonance of rectangular orthotropic thin plate excited by a harmonic force were studied in this paper,under the condition of four sides simply supported.Based on the vibration differential equation of orthotropic laminated plates,the nondimensional Duffing nonlinear forced vibration equation was deduced by using Galerkin method.The amplitude frequency response equation of system steady motion under principal resonance was obtained by means of averaging method.Based on ... |
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| Keywords: | orthotropic laminated plate principal resonance stability averaged method |
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