| 受机械力作用金属／陶瓷功能梯度板的亚谐共振研究 |
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| 引用本文： | 贾尚帅,杨志安.受机械力作用金属／陶瓷功能梯度板的亚谐共振研究[J].功能材料,2007,38(A09):3634-3637. |
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| 作者姓名： | 贾尚帅 杨志安 |
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| 作者单位： | [1]河北理工大学机械工程学院,河北唐山063009 [2]唐山学院和唐山市结构与振动工程重点实验室,河北唐山063000 |
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| 摘 要： | 研究机械力作用下金属，陶瓷功能梯度薄板1／3次亚谐共振问题。按照功能梯度薄板的非线性动力学方程，得到金属，陶瓷功能梯度薄板受横向机械力作用的非线性振动方程。应用非线性振动的多尺度法得到系统1／3次亚谐共振近似解并进行数值计算。分析阻尼、激励、几何尺寸等参数对系统1／3次亚谐共振幅频响应曲线的影响。
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| 关 键 词： | 功能材料 非线性振动 多尺度法 1／3次亚谐共振 幅频响应 |
| 文章编号： | 1001-9731（2007）增刊-3634-04 |
| 修稿时间： | 2007-04-28 |
Study on subharmonic resonance of ceramic and metal functionally graded material rectangular plate subjected to mechanical force |
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| JIA Shang-shuai, YANG Zhi-an.Study on subharmonic resonance of ceramic and metal functionally graded material rectangular plate subjected to mechanical force[J].Journal of Functional Materials,2007,38(A09):3634-3637. |
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| Authors: | JIA Shang-shuai YANG Zhi-an |
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| Affiliation: | 1. College of Mechanical Engineering, Hebei Polytechnic University, Tangshan 063009, China; 2. Tangshan College and Tangshan Key Laboratory of Structure and Vibration Engineering, Tangshan 063000, China |
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| Abstract: | In order to study the 1/3rd subharmonic resonance of ceramic and metal functionally graded material rectangular plate subjected to mechanical force excitation, according to the nonlinear dynamics equation of the functionally graded material rectangular plate, the nonlinear vibration equation of ceramic and metal functionally graded material rectangular plate subjected to mechanical force excitation is obtained. By means of the method of multiple scales the approximation solution of the 1/3rd subharmonic resonance of the system is acquired, and numerical analysis on the influence of damping excitation, as well as geometric parameters on amplitude frequency response curve of the 1/3rd subharmonic resonance system is carded out. |
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| Keywords: | functionally graded material nonlinear vibration the method of multiple seales the 1/3rd subharmonic resonance amplitude frequency response curves |
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