| 非线性动力吸振器的基本理论 |
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| 引用本文： | 王元璞.非线性动力吸振器的基本理论[J].北方工业大学学报,1990(1). |
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| 作者姓名： | 王元璞 |
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| 作者单位： | 北京工业大学建工学部 |
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| 摘 要： | 本文从带有杜芬渐硬弹簧的非线性动力吸振器的运动微分方程式出发,求其近似解.并用所编程序在计算机上求得不同频率时的主系统振幅,并绘制了幅频响应曲线.幅频响应曲线全面地揭示了此类非线性动力吸振器的力学性能.固定系统的某些参数的数值而逐步变动其余参数的数值,这样所得的幅频响应曲线将揭示出该参数的变化影响幅频响应的规律.文中论证了反共振点的存在和唯一存在性.
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| 关 键 词： | 杜芬弹簧 非线性动力吸振器 幅频响应曲线 附加系统 |
BASIC THEORY OF NONLINEAR DYNAMIC VIBRATION ABSORBER |
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| Wang Yuanpu.BASIC THEORY OF NONLINEAR DYNAMIC VIBRATION ABSORBER[J].Journal of North China University of Technology,1990(1). |
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| Authors: | Wang Yuanpu |
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| Affiliation: | Department of Architectural Engineering |
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| Abstract: | In this paper, from the formulation of the differential equation of the nonlinear dynamic vibration absorber with hardening Duff-ing's spring, its approximate solution is worked out. On the basis of the approximate solution, the amplitudes of various frequencies are calculated and the amplitude-frequency curve chart is plotted on the computer. The amplitude-frequency curve comprehensively reveals the mechanical beha viours of this kind of vibration absorbers. By keeping the values of the parameters of the system constant and by varying the value of a certain parameter, the amplitude-response curves obtained in the above way show the laws governing the change of the amplitude-frequency with that parameter. According to these laws, the designer can obtain some properties of the vibration absorbers he designed. |
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| Keywords: | Duffing's spring nonlinear dynamic vibration absorber amplitude-frequency response curve attaching system |
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