Rounding of sharp corners of a membrane (or waveguide) is unavoidable in practice. The natural vibration frequencies of polygonal membranes with rounded vertices are studied by introducing a new family of homotopy shapes and using an efficient improved Ritz method.
Fundamental Frequencies of Rounded Polygonal Membranes—A Class of Homotopy Shapes
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 4, 2011; final manuscript received April 2, 2012; published online February 4, 2013. Assoc. Editor: Massimo Ruzzene.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Wang, C. Y. (February 4, 2013). "Fundamental Frequencies of Rounded Polygonal Membranes—A Class of Homotopy Shapes." ASME. J. Vib. Acoust. February 2013; 135(1): 014501. https://doi.org/10.1115/1.4007259
Download citation file:
- Ris (Zotero)
- Reference Manager