Study of the Dynamic Behaviour of Circular Membranes with Low Tension

[1]  Thein Wah,et al.  Vibration of Circular Plates , 1962 .

[2]  Jeremy F. Alm,et al.  Time-Frequency Analysis of Musical Instruments , 2002, SIAM Rev..

[3]  R. T. Schumacher,et al.  ON THE OSCILLATIONS OF MUSICAL-INSTRUMENTS , 1983 .

[4]  F. E. Eastep,et al.  Natural frequencies of circular plates with partially free, partially clamped edges , 1982 .

[5]  Sunil Puria,et al.  Three approaches for estimating the elastic modulus of the tympanic membrane. , 2005, Journal of biomechanics.

[6]  Yoshihiro Narita,et al.  TRANSVERSE VIBRATION OF SIMPLY SUPPORTED CIRCULAR PLATES HAVING PARTIAL ELASTIC CONSTRAINTS , 1980 .

[7]  S. Azimi,et al.  Free vibration of circular plates with elastic edge supports using the receptance method , 1988 .

[8]  Marco Amabili,et al.  Analysis of vibrating circular plates having non-uniform constraints using the modal properties of free-edge plates : Application to bolted plates , 1997 .

[9]  Zhihong Li,et al.  Ultra-sensitive, highly reproducible film stress characterization using flexible suspended thin silicon plates and local curvature measurements , 2007 .

[10]  Stephen H. Crandall,et al.  Natural Modes and Natural Frequencies of Uniform, Circular, Free-Edge Plates , 1979 .

[11]  J. Garcia-Manrique,et al.  Analysis of the Mechanical Properties of the Human Tympanic Membrane and Its Influence on the Dynamic Behaviour of the Human Hearing System , 2018, Applied bionics and biomechanics.

[12]  G. Kirchhoff,et al.  Über das Gleichgewicht und die Bewegung einer elastischen Scheibe. , 1850 .

[13]  E. Hernández.  Approximation of the Vibration Modes of a Plate and Shells Coupled With a Fluid , 2006 .

[14]  M. Sheplak,et al.  The electromechanical behavior of piezoelectric thin film composite diaphragms possessing in-plane stresses , 2017 .

[15]  Moon K. Kwak,et al.  Vibration of Circular Plates in Contact With Water , 1991 .

[16]  E. Olson,et al.  A study of sound transmission in an abstract middle ear using physical and finite element models. , 2015, The Journal of the Acoustical Society of America.

[17]  Yoshihiro Narita,et al.  Flexural vibrations of free circular plates elastically constrained along parts of the edge , 1981 .

[18]  Rong Z. Gan,et al.  Viscoelastic Properties of Human Tympanic Membrane , 2007, Annals of Biomedical Engineering.

[19]  W. Decraemer,et al.  An elastic stress-strain relation for soft biological tissues based on a structural model. , 1980, Journal of biomechanics.

[20]  Kuang-Shun Ou,et al.  Modification of curvature-based thin-film residual stress measurement for MEMS applications , 2002 .

[21]  J. Dirckx,et al.  Mechanical properties of human tympanic membrane in the quasi-static regime from in situ point indentation measurements , 2012, Hearing Research.

[22]  Yoshihiro Narita,et al.  Natural frequencies of simply supported circular plates , 1980 .

[23]  John R. Airey.  The Vibrations of Circular Plates and their Relation to Bessel Functions , 1910 .

[24]  H. Suzuki,et al.  Theoretical and experimental studies on the resonance frequencies of a stretched circular plate: Application to Japanese drum diaphragms , 2009 .

[25]  J. Shan,et al.  High frequency MoS2 nanomechanical resonators. , 2013, ACS nano.

[26]  M. Amabili,et al.  NATURAL FREQUENCIES AND MODES OF FREE-EDGE CIRCULAR PLATES VIBRATING IN VACUUM OR IN CONTACT WITH LIQUID , 1995 .