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Research Papers

Wrinkling of Tympanic Membrane Under Unbalanced Pressure

[+] Author and Article Information
Bo Wang

School of Mechanical and
Aerospace Engineering,
Oklahoma State University,
Stillwater, OK 74078
e-mail: bobowang0406@gmail.com

Pravarsha Ghanta

School of Mechanical and
Aerospace Engineering,
Oklahoma State University,
Stillwater, OK 74078
e-mail: pravars@okstate.edu

Sandra Vinnikova

School of Mechanical and
Aerospace Engineering,
Oklahoma State University,
Stillwater, OK 74078
e-mail: s.vinnikova@icloud.com

Siyuan Bao

School of Civil Engineering,
University of Science and
Technology of Suzhou,
Suzhou 215011, China;
School of Mechanical and
Aerospace Engineering,
Oklahoma State University,
Stillwater, OK 74078
e-mail: bsiyuan@mail.usts.edu.cn

Junfeng Liang

Department of Electrical Engineering,
The University of Texas at Dallas,
Richardson, TX 75080
e-mail: jxl150230@utdallas.edu

Hongbing Lu

Department of Electrical Engineering,
The University of Texas at Dallas,
Richardson, TX 75080
e-mail: hongbing.lu@utdallas.edu

Shuodao Wang

School of Mechanical and
Aerospace Engineering,
Oklahoma State University,
Stillwater, OK 74078
e-mail: shuodao.wang@okstate.edu

1Corresponding author.

Manuscript received December 27, 2016; final manuscript received January 23, 2017; published online February 8, 2017. Editor: Yonggang Huang.

J. Appl. Mech 84(4), 041002 (Feb 08, 2017) (6 pages) Paper No: JAM-16-1622; doi: 10.1115/1.4035858 History: Received December 27, 2016; Revised January 23, 2017

Mechanics of tympanic membrane (TM) is crucial for investigating the acoustic transmission through the ear. In this study, we studied the wrinkling behavior of tympanic membrane when it is exposed to mismatched air pressure between the ambient and the middle ear. The Rayleigh–Ritz method is adopted to analyze the critical wrinkling pressure and the fundamental eigenmode. An approximate analytical solution is obtained and validated by finite element analysis (FEA). The model will be useful in future investigations on how the wrinkling deformation of the TM alters the acoustic transmission function of the ear.

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References

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Figures

Grahic Jump Location
Fig. 1

Schematics of the tympanic membrane (TM) and the mechanics model: (a) location of the TM, (b) projection-view of the TM from the medial side, (c) 3D-view of the TM, (d) side-view of the TM, (e) 3D-view of the simplified axial-symmetric mechanics model, and (f) side-view of the mechanics model

Grahic Jump Location
Fig. 2

Wrinkling patterns of the TM obtained by FEA using (a) the simplified axial-symmetric model in Fig. 1(e) and (b) TM supported by the manubrium bone as in Figs. 1(b)1(d)

Grahic Jump Location
Fig. 3

Scaling law plotted as the normalized critical pressure versus normalized thickness. The solid lines correspond to the analytical solution for different wave number k, the dashed line corresponds to the approximate expression in Eq. (12), and the diamond dots correspond to FEA results.

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