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Finite element method for nonlinear free vibrations of composite plates
A multimode time-domain modal formulation based on the finite element method for large-amplitude free vibration of thin composite plates is presented. Accurate frequency-maximum deflection relations can be predicted for the fundamental and the higher nonlinear modes. A modal participation is defined, and accurate and convergent frequencies can be determined with minimum number of linear modes. A procedure for the selection of initial conditions for periodic plate response is presented. Convergence of frequency with gridwork refinement and number of linear modes is studied. The classical single-mode elliptic function frequency solutions for simply supported beams and square plates are assessed. Examples of orthotropic and composite plates are given, and the characteristics of nonlinear response are studied.
Finite element method for nonlinear free vibrations of composite plates
A multimode time-domain modal formulation based on the finite element method for large-amplitude free vibration of thin composite plates is presented. Accurate frequency-maximum deflection relations can be predicted for the fundamental and the higher nonlinear modes. A modal participation is defined, and accurate and convergent frequencies can be determined with minimum number of linear modes. A procedure for the selection of initial conditions for periodic plate response is presented. Convergence of frequency with gridwork refinement and number of linear modes is studied. The classical single-mode elliptic function frequency solutions for simply supported beams and square plates are assessed. Examples of orthotropic and composite plates are given, and the characteristics of nonlinear response are studied.
Finite element method for nonlinear free vibrations of composite plates
Finite Elemente-Methode zur Berechnung der nichtlinearen freien Schwingungen von Verbundstoffplatten
Shi, Y. (author) / Lee, R.Y.Y. (author) / Mei, C. (author)
AIAA Journal ; 35 ; 159-166
1997
8 Seiten, 6 Bilder, 9 Tabellen, 10 Quellen
Article (Journal)
English
Platte (Bauteil) , Balken , Modalanalyse , freie Schwingung , Freiheitsgrad , Fachwerk , orthotrope Platte , Schichtstoff , Carbonfaser , Epoxidharz , mathematisches Modell , Finite-Elemente-Methode , Höchstwert , Frequenz , nichtlineare Gleichung , Konvergenz , Auswahlkriterium , Maschennetz , Schätzung , Isotropie , Schwingungsform , elliptische Funktion
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