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On the boundary value problem for the vibration and wave processes in two-dimensional environs
KTH, School of Information and Communication Technology (ICT), Software and Computer systems, SCS.
2016 (English)In: BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, ISSN 2518-7929, Vol. 83, no 3, p. 55-61Article in journal (Refereed) Published
Abstract [en]

In the article research of the third boundary value problem for the two-dimensional equation of free membrane vibrations is presented. The solution of the original differential operator is found in the form of a combination of the linearly independent system of orthonormal eigenfunctions on the given interval. Using the spectral decomposition for sufficiently smooth function, one can obtain the exact analytical representation of the deflection function for investigated problem in two-dimensional environs. The deflection function characterizes a membrane deviation from the equilibrium position.

Place, publisher, year, edition, pages
KARAGANDA STATE UNIV , 2016. Vol. 83, no 3, p. 55-61
Keywords [en]
boundary value problem, membrane, vibrations, spectrum problem, orthonormal system of functions, deflection function
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-215405ISI: 000410372000008OAI: oai:DiVA.org:kth-215405DiVA, id: diva2:1148439
Note

QC 20171011

Available from: 2017-10-11 Created: 2017-10-11 Last updated: 2017-10-11Bibliographically approved

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