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Keywords: membrane
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Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. August 2022, 144(4): 044502.
Paper No: VIB-22-1063
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...
Journal Articles
Publisher: ASME
Article Type: In-Brief
J. Vib. Acoust. February 2013, 135(1): 014501.
Paper No: VIB-11-1269
Published Online: February 4, 2013
... of the fundamental frequency k for a pentagonal membrane. N is the number of terms retained in Eq. (23) . N 3 4 5 6 7 k 2.2825 2.2824 2.2823 2.2823 2.2823 When α = 0 , it is a rectangle of width 2 and height 2 b . When α = 1 , it is an ellipse of the same...
Topics: Membranes, Shapes