Diffraction of normal modes in composite and stepped elastic waveguides |
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| Institution: | 1. Discipline of Electrical Engineering, Indian Institute of Technology Indore, Indore, M.P. 453552, India;2. Discipline of Biosciences and Biomedical Engineering, Indian Institute of Technology Indore, Indore, M.P. 453552, India;3. BC Photonics Technology Co., Richmond, B.C., Canada;4. Choitram Hospital and Research Centre, Indore, India;1. School of Traffic and Transportation Engineering, Central South University, Changsha, Hunan, 410075, China;2. Division of Mechanical and Automotive Engineering, Wonkwang University, Iksan, Jeonbuk 570-749, Republic of Korea;3. College of Automotive and Mechanical Engineering, Changsha University of Science and Technology, Changsha, Hunan, 410114, China;1. Univ. Valenciennes, CNRS, Univ. Lille, ISEN, Centrale Lille, UMR 8520 – IEMN, DOAE, F-59313 Valenciennes, France;2. LMCPA, Université de Valenciennes et du Hainaut-Cambrésis, Pôle Universitaire de Maubeuge, France |
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| Abstract: | A method of calculating the diffraction of Lamb waves at the vertical junctions of elastic waveguides is proposed, the effectiveness of which is ensured by taking into account the nature of the singularity of the solution at corner points. The property of the generalized orthogonality of normal modes plays a key role. It enables the coefficients of the expansion of the wave field in the modes to be expressed in terms of the displacements and stresses along the junction line. Numerical results are presented which show how the transmission coefficients and the energy distribution depend on the height of the step and frequency for a stepped waveguide, attached to an undeformed substrate. |
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