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Journal Articles

Exact Solution of a Class of Non-Circular Vibrating Membranes

C.Y. Wang
Journal: Journal of Vibration and Acoustics
Article Type: Technical Briefs
J. Vib. Acoust. August 2022, 144(4): 044502.
Paper No: VIB-22-1063
DOI: https://doi.org/10.1115/1.4054256
Published Online: May 2, 2022
...C.Y. Wang Saint-Venant’s method to solve the Poisson equation is applied to the Helmholtz equation which governs membrane vibration. A family of non-circular membrane shapes with N-fold rotational symmetry is presented. Membrane shapes, properties, and fundamental frequencies are tabulated...
View Article titled, Exact Solution of a Class of Non-Circular Vibrating <span class="search-highlight">Membranes</span>
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Topics: Membranes, Shapes, Vibration
Journal Articles

Fundamental Frequencies of Rounded Polygonal Membranes—A Class of Homotopy Shapes

C. Y. Wang
Journal: Journal of Vibration and Acoustics
Article Type: In-Brief
J. Vib. Acoust. February 2013, 135(1): 014501.
Paper No: VIB-11-1269
DOI: https://doi.org/10.1115/1.4007259
Published Online: February 4, 2013
.... 961 – 978 . 10.1016/j.jsv.2004.12.021 [11] Schelkunoff , S. A. , 1943 , Electromagnetic Waves , Van Nostrand , New York , pp. 393 – 394 . [12] Wang , C. Y. , 1998 , “ On the Polygonal Membrane With a Circular Core ,” J. Sound Vib. , 215 , pp. 195 – 199 . 10.1006/jsvi...
View Article titled, Fundamental Frequencies of Rounded Polygonal <span class="search-highlight">Membranes</span>—A Class of Homotopy Shapes
Click here to open pdf in another window PDF for Fundamental Frequencies of Rounded Polygonal <span class="search-highlight">Membranes</span>—A Class of Homotopy Shapes
Topics: Membranes, Shapes