| 受机械力作用金属／陶瓷功能梯度板的超谐共振研究 |
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| 引用本文： | 杨志安,贾尚帅.受机械力作用金属／陶瓷功能梯度板的超谐共振研究[J].功能材料,2007,38(A09):3641-3643. |
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| 作者姓名： | 杨志安 贾尚帅 |
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| 作者单位： | [1]唐山学院,唐山市结构与振动工程重点实验室,河北唐山063000 [2]河北理工大学机械工程学院,河北唐山063009 |
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| 摘 要： | 研究机械力作用下金属／陶瓷功能梯度薄板3次超谐共振问题．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3次超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3次超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 3次超谐共振 幅频响应 |
| 文章编号： | 1001-9731（2007）增刊-3641-03 |
| 修稿时间： | 2007-06-07 |
Study on superharmonic resonance of ceramic and metal functionally graded material rectangular plate subjected to mechanical force |
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| YANG Zhi-an, JIA Shang-shuai.Study on superharmonic resonance of ceramic and metal functionally graded material rectangular plate subjected to mechanical force[J].Journal of Functional Materials,2007,38(A09):3641-3643. |
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| Authors: | YANG Zhi-an JIA Shang-shuai |
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| Affiliation: | 1. Tangshan College and Tangshan Key Laboratory of Structure and Vibration Engineering, Tangshan,063000, China; 2. College of Mechanical Engineering, Hebei Polytechnic University, Tangshan, 063009 ,China |
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| Abstract: | In order to study the 3rd superharmonic 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 3rd superharmonic 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 3rd superharmonic resonance system is carried out. |
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| Keywords: | functionally graded material nonlinear vibration the method of multiple scales the 3rd superharmonic resonance amplitude frequency response curves |
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