DIFFRACTION OF WAVE ON THE CONICAL DEFECT IN THE ACOUSTIC ENVIRONMENT
Journal Title: Дослідження в математиці і механіці - Year 2018, Vol 23, Issue 1
Abstract
The discontinuous solution of the wave equation for a conical defect in acoustic environment under the quasistatic dynamic load is constructed in the article. The defect is the part of the surface when passing through it the wave potential and its normal to the defect's surface derivative are discontinuous with the given jumps. The integral transformation method by the classic scheme and generalized scheme relatively to the variable on which the function is discontinuous was applied for the construction of the solution. The boundary values of the wave potential are obtained. The representations for the discontinuous solutions of the dynamic movement equations for the conical defect in the case of quasistatic fluctuations could be derived by the known scheme of the discontinuous solutions's method based on the obtained relations for the wave potential and its normal derivative.
Authors and Affiliations
O. V. Reut
Keywords
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- DOI 10.18524/2519-206x.2018.1(31).134621
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