摘要
依据耳膜在解剖学中表现出的力学性质,抽象出六条假设,并由此建立耳膜力学模型。再由受迫阻尼振动原理和变分原理推导出耳膜振动方程。并利用贝赛尔函数建立耳膜位移与声压的关系,得到耳膜位移的解析解。并由此得到耳膜位移的三维图像,再与有限元数值模拟、解剖学得到图像相对比,证明此方程的正确性。所得方程可以从力学角度对耳朵一系列的生理现象、病理特征及病变原因进行研究。该思路及所得方程为耳生物力学的研究及应用开拓(提供)了新的视点。
Six hypotheses were drawn based on the mechanics of tympanic membrane in anatomy, and then the mechanical equation was established. The equation was solved on the basis of the theory of forced damped vibration and variation principle. The relation of displacement of tympanic membrane to sound pressure was educed by using the Bessel function; subsequently the analytic solution was obtained. Depicting three directions plot of displacement of tympanic membrane according to the analytic solution and comparing the results with those of finite element method and plot of anatomy demonstrate the correctness of the equation. The equation may be applied to analyze the reason of physiological phenomena, character of pathology and pathological changes from the view point of mechanics. The equation and its solution provide a new way for study and application of biomechanics of tympanic membrane.
出处
《振动与冲击》
EI
CSCD
北大核心
2008年第3期63-66,共4页
Journal of Vibration and Shock
基金
上海大学博士点基金
博士创新基金资助
关键词
振动方程
变分原理
耳膜
贝赛尔函数
vibration equation
variation principles
tympanic membrane
bessel function
