| 受机械力作用金属／陶瓷功能梯度板主共振奇异性 |
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| 引用本文： | 杨志安,贾尚帅.受机械力作用金属／陶瓷功能梯度板主共振奇异性[J].功能材料,2007,38(A09):3644-3646. |
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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,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，陶瓷功能梯度薄板主共振奇异性问题。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主共振幅频响应分岔方程并进行奇异性分析，求得幅频响应分岔方程在开折参数平面的转迁集和分岔图。
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| 关 键 词： | 功能材料 非线性振动 多尺度法 主共振 幅频响应 分岔 奇异性 |
| 文章编号： | 1001-9731（2007）增刊-3644-03 |
| 修稿时间： | 2007-06-06 |
Singularites of primary resonance of ceramic and metal functionally graded material rectangular plate subjected to mechanical force |
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| YANG Zhi-an, JIA Shang-shuai.Singularites of primary resonance of ceramic and metal functionally graded material rectangular plate subjected to mechanical force[J].Journal of Functional Materials,2007,38(A09):3644-3646. |
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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 singularity of primary 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 amplitude frequency response bifurcation equation of primary resonance of the system is acquired. Singularities of the primary resonance solution were investigated. The transition variety and bifurcation diagram of unfolding parameter plane are obtained. |
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| Keywords: | functionally graded material nonlinear vibration the method of multiple scales primary resonance amplitude frequency response bifurcation singularity |
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