MATEC Web of Conferences
Volume 1, 2012CSNDD 2012 – International Conference on Structural Nonlinear Dynamics and Diagnosis
|Number of page(s)||4|
|Section||Nonlinear Dynamics of Systems|
|Published online||09 July 2012|
Non-linear forced vibration analysis of rectangular plates including the coupling between transverse and in-plane displacements.
1 Université Mohammed V-Souissi, Ecole Normale Supérieure de l’Enseignement Technique Rabat, LaMIPI, B.P. 6207, Rabat Instituts Morocco
2 Ecole Mohammadia d’Ingénieurs, Département des EGT Av. Ibn Sina, Agdal, Rabat, Morocco
The objective of this work is to study the geometrically non-linear steady state periodic forced response of fully clamped rectangular plates (FCRP) with immovable in-plane conditions, taking into account the effect of the in-plane displacements. A complete formulation has been proposed first, reducing the equations of motion to a system of coupled non-linear algebraic equations, which are decoupled once the in-plane inertia is omitted. An averaging technique has then been developed, in order to simplify the first method and to develop an engineering complete theory. The forced response is given in the case of a concentrated harmonic excitation force with various intensities. The numerical results obtained here with the two formulations, using an explicit analytical solution, were compared with those obtained previously using a formulation in which the in-plane displacements have been neglected, showing an “over-stiff” effect.
© Owned by the authors, published by EDP Sciences, 2012
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.