Author： Wang C. M.
Publisher： Taylor & Francis Ltd
ISSN： 1937-3260
Source： The IES Journal Part A: Civil & Structural Engineering, Vol.6, Iss.1, 2013-02, pp. : 32-41
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
Presented herein is a proof that the TE (transverse electric) waveguide problem is analogous to the vibration problem of thin plates with zero slope and zero twisting moment at the freely sliding edges in the vertical (transverse) direction. This analogy is confirmed because of the mathematical similarity of the governing equations and the boundary conditions of the two problems. We also present exact solutions for these two analogous problems for various domain shapes. The exact solutions are very useful for checking the validity, convergence and accuracy of numerical methods for solving the Helmholtz equation.
Related content
Access to resources
Recommend
Relationships between bending solutions of Reissner and Mindlin plate theories
By Wang C.M. Lim G.T. Reddy J.N. Lee K.H.
Engineering Structures, Vol. 23, Iss. 7, 2001-07 ,pp. :
Spaces and Flows: An International Journal of Urban and Extraurban Studies, Vol. 1, Iss. 1, 2011-01 ,pp. :
Spaces and Flows: An International Journal of Urban and Extraurban Studies, Vol. 1, Iss. 2, 2011-01 ,pp. :