| 温度场中桥面矩形薄板的主共振—主参数共振 |
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| 引用本文： | 杨志安,赵雪娟,李高峰.温度场中桥面矩形薄板的主共振—主参数共振[J].机械强度,2009,31(1). |
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| 作者姓名： | 杨志安 赵雪娟 李高峰 |
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| 作者单位： | 1. 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,唐山,063009 |
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| 摘 要： | 为了研究温度场中桥面矩形薄板受简谐激励的主共振-主参数共振问题,应用弹性力学理论建立其动力学方程,应用Galerkin方法将其转化为非线性振动方程.利用非线性振动的多尺度分析方法求得系统主共振-主参数共振的近似解,并进行数值计算.分析温度、激励等对系统主共振-主参数共振的影响.指出系统主共振-主参数共振幅频响应曲线具有双峰特点并呈M形状.
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| 关 键 词： | 温度场 矩形薄板 多尺度法 主共振-主参数共振 |
PRIMARY RESONANCE AND PRIMARY PARAMETRIC RESONANCE OF A DECK THIN RECTANGULAR PLATE IN TEMPERATURE FIELD |
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| YANG ZhiAn,ZHAO XueJuan,LI GaoFeng.PRIMARY RESONANCE AND PRIMARY PARAMETRIC RESONANCE OF A DECK THIN RECTANGULAR PLATE IN TEMPERATURE FIELD[J].Journal of Mechanical Strength,2009,31(1). |
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| Authors: | YANG ZhiAn ZHAO XueJuan LI GaoFeng |
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| Affiliation: | 1.Key Laboratory of Structure and Vibration of Tangshan;Tangshan 063000 China;2.College of Mechanical Engineering;Hebei Polytechnic University;Tangshan 063009 China |
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| Abstract: | In order to study the primary resonance and primary parametric resonance of a rectangular deck plate subject to harmonic disturbances in temperature field,by applying elastic theory,a nonlinear dynamical equation in partial differential form for the plate is established first.Then the nonlinear vibration equation in ordinary differential form is obtained based on Galerkin's method.By means of the method of multiple scales for nonlinear vibrations analysis,the approximation solution of primary resonance and ... |
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| Keywords: | Temperature field Thin rectangular plate The method of multiple scales Primary resonance and primary parametric resonance |
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