| 皮带驱动机构的主共振近似解分析 |
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| 引用本文： | 杨志安,李高峰.皮带驱动机构的主共振近似解分析[J].机械强度,2009,31(5). |
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| 作者姓名： | 杨志安 李高峰 |
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| 作者单位： | 唐山学院,唐山市结构与振动工程实验室,唐山,063000 |
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| 摘 要： | 应用拉格朗日方程,得到带平方和立方非线性的皮带驱动机构的非线性振动微分方程,根据非线性振动的多尺度解法,求得系统满足主共振情况的近似解,分析系统的稳定性,并对其进行数值计算.分析带的长度和横截面积、外激力、谐调值、系统阻尼等对系统的影响.分析一次近似解、二次近似解的特点,指出系统主共振的一次近似解的幅频响应曲线表现为硬刚度特性;二次近似解的幅频响应曲线表现为软刚度特性.
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| 关 键 词： | 皮带 非线性 多尺度法 主共振 |
ANALYZE ON APPROXIMATE SOLUTION OF PRIMARY RESONANCE OF THE BELT DRIVER MECHANISM |
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| YANG ZhiAn,LI GaoFeng.ANALYZE ON APPROXIMATE SOLUTION OF PRIMARY RESONANCE OF THE BELT DRIVER MECHANISM[J].Journal of Mechanical Strength,2009,31(5). |
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| Authors: | YANG ZhiAn LI GaoFeng |
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| Affiliation: | YANG ZhiAn LI GaoFeng(Key Laboratory of Structure and Vibration of Tangshan,Tangshan College,Tangshan 063000,China) |
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| Abstract: | The nonlinear differential vibration equation with quadratic and cubic nonlinearities of the belt driver mechanism is derived by means of Lagrange equation.By means of the method of multiple scales,for nonlinear vibration the primary resonance approximate solution of the system is obtained.Numerical results on the influences of length,cross section area of the belt,excitation,detuning and damping on the system are carried out.The first approximate solution for amplitude frequency response curve of the prima... |
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| Keywords: | Belt Nnonlinear vibration The method of multiple scales Primary resonance |
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