Free vibration model and theoretical solution of the tympanic membrane

IF 1.5 4区医学 Q3 SURGERY

Computer Assisted Surgery Pub Date : 2016-10-28 DOI:10.1080/24699322.2016.1240315

Can Wu, Ying Chen, M. Al-Furjan, Jing Ni, Xiao Yang

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引用次数: 4

Abstract

Abstract Myringoplasty is one of the routine surgeries in the treatment of tympanic membrane (TM) perforation. Since the gross anatomical structure of the middle ear cannot be simulated in clinical practice, the surgery is mainly performed by experience and expertise. Based on the mechanical properties of TM, four hypotheses are presented where TM is simplified as a sectorial annulus membrane. This paper proposes a free vibration model of TM whose natural frequency of free vibration and the analytical expressions of corresponding natural vibration mode are obtained by variables separation method and Bessel function. Compared with the ANSYS numerical results, it shows that natural frequency calculated by finite element (FE) method is slightly higher because of the increase of model stiffness by ignoring high-order quantity. Compared with the experimental data from volunteers, it shows that the first-order, second-order and third-order principal resonances in the test are the combined effects of multiple natural frequencies and natural vibration modes instead of the single one. The theoretical model deduced in this paper is in higher precision with comparatively fewer parameters. It provides more precise mechanical reference to myringoplasty by calculating the response of the normal human ear.

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鼓膜自由振动模型及理论解

摘要鼓膜成形术是治疗鼓膜穿孔的常规手术之一。由于临床无法模拟中耳大体解剖结构，手术主要依靠经验和专业知识进行。基于TM的力学特性，提出了将TM简化为扇形环膜的四种假设。本文提出了一种TM的自由振动模型，利用变量分离法和贝塞尔函数得到了TM的自由振动固有频率和相应的固有振型解析表达式。与ANSYS数值计算结果对比表明，忽略高阶量时，由于模型刚度的增加，有限元法计算的固有频率略高。与志愿者实验数据的对比表明，试验中的一阶、二阶和三阶主共振是多个固有频率和固有振型的综合效应，而不是单一的固有频率和固有振型。本文推导的理论模型参数相对较少，精度较高。它通过计算正常人耳的反应，为鼓膜成形术提供了更精确的机械参考。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computer Assisted Surgery Medicine-Surgery

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

10 weeks

期刊介绍： omputer Assisted Surgery aims to improve patient care by advancing the utilization of computers during treatment; to evaluate the benefits and risks associated with the integration of advanced digital technologies into surgical practice; to disseminate clinical and basic research relevant to stereotactic surgery, minimal access surgery, endoscopy, and surgical robotics; to encourage interdisciplinary collaboration between engineers and physicians in developing new concepts and applications; to educate clinicians about the principles and techniques of computer assisted surgery and therapeutics; and to serve the international scientific community as a medium for the transfer of new information relating to theory, research, and practice in biomedical imaging and the surgical specialties. The scope of Computer Assisted Surgery encompasses all fields within surgery, as well as biomedical imaging and instrumentation, and digital technology employed as an adjunct to imaging in diagnosis, therapeutics, and surgery. Topics featured include frameless as well as conventional stereotactic procedures, surgery guided by intraoperative ultrasound or magnetic resonance imaging, image guided focused irradiation, robotic surgery, and any therapeutic interventions performed with the use of digital imaging technology.