李毅民

• 1:中国科学院声学研究所

摘要：

撞击自鸣噪声是物体受到撞击时,被激发起的振动所辐射的声音。在本文的第一部分,首先对广义分布系统受撞击时的运动方程进行了求解。通过其振动表达式,求得系统被撞击所激发起的振动能量。每一阶简正振动方式的能量与撞击力在该频率的频谱分量的平方成正比;与该振动方式的特征函数在撞击点的值的平方成正比。总的振动能量E,为各振动方式的能量之和。 根据统计能量分析的基本物理模型,对撞击力所做的功进行了推算。计算结果表明,撞击所激发的总振动能量与系统在撞击点的平均力导〈G〉有关

关键词：

Abstract: Ringing noise is radiated by the vibrational parts when they impact with each other. In the first part of this paper, the vibration equation of the generalized distributed system is solved. Using the expression of vibration, the total vibration energy of the system impacted is obtained. The energy of every normal mode of vibration is proportional to the square of the spectra! component of the impact force at the frequency, and to the square of the value of the normal function of this mode at the impact point. The total vibration energy E is the sum of,energy of all the normal modes.According to the physical model of the statistical energy analysis, the work done by the impact force is calculated. The result indicates that the total vibration energy induced by impact is related to the average conductance <G> at the impact p oint. E=4π∑〈G〉|F(ωi)|2△ωi

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参考文献：

• [1] Adnan, Akay, "A review of impact noise", J. Acoust. Soc. Am., 64(1978) , 977-986．
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• [3] Richards, E. J., Westcott, M. E. and Jeyapalan, R. K., "On the prediction of impact noise Ⅰ: acceleration noise", J. Sound Vib., 62(1979) , 547-575．
• [4] Richards, E. J., Westcott, M. E. and Jeyapalan, R. K., "On the prediction of impact noise Ⅱ: ringing noise", J. Sound Vib., 65(1979) , 419-451．
• [5] Lyon, R. H., "Statistical energy analysis of dynamical systems: theory and applications", (The MIT Press Massachusetts, 1975) .
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