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# Free and forced vibrations of plates by boundary and interior elements

#### Providakis Konstantinos, Beskos, Dimitri E

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 URI http://purl.tuc.gr/dl/dias/82EB6A88-A83F-43E1-8BFD-B3CF9E2BF8ED - Αναγνωριστικό https://doi.org/10.1002/nme.1620280902 - Γλώσσα en - Μέγεθος 18 pages en Τίτλος Free and forced vibrations of plates by boundary and interior elements en Δημιουργός Providakis Konstantinos en Δημιουργός Προβιδακης Κωνσταντινος el Δημιουργός Beskos, Dimitri E en Εκδότης John Wiley and Sons en Περίληψη A direct boundary element method is developed for the dynamic analysis of thin elastic flexural plates of arbitrary planform and boundary conditions. The formulation employs the static fundamental solution of the problem and this creates not only boundary integrals but surface integrals as well owing to the presence of the inertia force. Thus the discretization consists of boundary as well as interior elements. Quadratic isoparametric elements and quadratic isoparametric or constant elements are employed for the boundary and interior discretization, respectively. Both free and forced vibrations are considered. The free vibration problem is reduced to a matrix eigenvalue problem with matrix coefficients independent of frequency. The forced vibration problem is solved with the aid of the Laplace transform with respect to time and this requires a numerical inversion of the transformed solution to obtain the plate dynamic response to arbitrary transient loading. The effect of external viscous or internal viscoelastic damping on the response is also studied. The proposed method is compared against the direct boundary element method in conjunction with the dynamic fundamental solution as well as the finite element method primarily by means of a number of numerical examples. These examples also serve to illustrate the use of the proposed method. en Τύπος Peer-Reviewed Journal Publication en Τύπος Δημοσίευση σε Περιοδικό με Κριτές el Άδεια Χρήσης http://creativecommons.org/licenses/by/4.0/ en Ημερομηνία 2015-10-17 - Ημερομηνία Δημοσίευσης 1989 - Θεματική Κατηγορία Building damage prevention en Θεματική Κατηγορία Building protection en Θεματική Κατηγορία Buildings--Damage prevention en Θεματική Κατηγορία Protection of buildings en Θεματική Κατηγορία buildings protection en Θεματική Κατηγορία building damage prevention en Θεματική Κατηγορία building protection en Θεματική Κατηγορία buildings damage prevention en Θεματική Κατηγορία protection of buildings en Βιβλιογραφική Αναφορά C.P. Providakis ,D.E. Beskos, "Free and forced vibrations of plates by boundary and interior elements," Intern. J. for Numerical Meth. in Eng., vol. 28,no.9 pp. 1977-1994, 1989.doi: 10.1002/nme.1620280902 en