Fundamental Frequencies of Rounded Polygonal Membranes—A Class of Homotopy Shapes-Reference-Cited by-同舟云学术

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

Published:2013-02-01 Issue:1 Volume:135 Page:
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Wang C. Y.¹

Affiliation:

1. Professor Department of Mathematics, Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824 e-mail:

Abstract

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.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/doi/10.1115/1.4007259/6339002/vib_135_1_014501.pdf

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