有界窄带激励下中耳系统主共振分析  

PRIMARY RESONANCE ANALYSIS OF MIDDLE EAR SYSTEM SUBJECTED TO NARROW-BAND RANDOM EXCITATION

作　　者：杨志安 刘文洋 满志军 YANG ZhiAn;LIU WenYang;MAN ZhiJun(Key Laboratory of Structure and Vibration Engineering of Tangshan,Tangshan College,Tangshan 063000,China;College of Mechanical Engineering,North China University of Science and Technology,Tangshan 063210,China)

机构地区：[1]唐山学院唐山市结构与振动工程重点实验室,唐山063000 [2]华北理工大学机械工程学院,唐山063210

出　　处：《机械强度》2024年第6期1318-1324,共7页Journal of Mechanical Strength

摘　　要：以中耳系统为研究对象,研究人耳在窄带随机声波激励下的非线性振动特性。根据中耳三自由度非线性模型建立非线性随机振动方程并引入正则矩阵,得到正则坐标下的非线性振动方程。采用多尺度法得到中耳系统第1阶主共振的幅频特性方程,通过分岔图和最大Lyapunov指数,发现在不同的激励下,中耳系统会产生不同的运动。导出中耳系统伊藤随机微分方程,使用矩法得到系统2阶矩的近似表达式,验证随机扰动强度对中耳系统的影响。结果表明,增大外激励,系统共振区域增大;当随机扰动强度增大时,相图极限环厚度变厚。Taking the middle ear system as the research object,the nonlinear vibration characteristics of the human ear under narrow-band random acoustic excitation were studied.According to the three-degree-of-freedom nonlinear model of the middle ear,the nonlinear random vibration equation was established and the regular matrix was introduced to obtain the nonlinear vibration equation in the regular coordinate.The amplitude-frequency characteristic equation of the first-order primary resonance of the middle ear system was obtained by the multi-scale method.Through the bifurcation diagram and the maximum Lyapunov index,it was found that the middle ear system produces different motions under different excitations.The Ito stochastic dif⁃ferential equation of the middle ear system was derived,the approximate expression of the second-order moment of the system was obtained by using the rectangular method,and the influence of the random disturbance intensity on the middle ear system was verified.The results show that the resonance area of the system increases with the increase of the external excitation.When the random disturbance intensity increases,the thickness of the limit cycle of the phase diagram becomes thicker.

关 键 词：中耳系统 非线性 主共振 分岔 窄带激励 

分 类 号：O324[理学—一般力学与力学基础]