Dynamic stiffness formulation for free orthotropic plates

O. Ghorbel (1, 2) , J.B. Casimir (1, 3) , L. Hammami (2, 4) , Imad Tawfiq (1, 3) , M. Haddar (4, 2)

1 QUARTZ - Laboratoire QUARTZ
2 LA2MP - Laboratoire de recherche de Mécanique, Modélisation et Production
3 SUPMECA - SUPMECA - Institut supérieur de mécanique de Paris
4 ENIS - École Nationale d'Ingénieurs de Sfax | National School of Engineers of Sfax

This paper presents a procedure for developing the dynamic stiffness matrix of a free orthotropic Kirchhoff plate. The dynamic stiffness matrix is computed for free edge boundary conditions of the plate that allow assembly procedures. The method is based on a strong formulation of Kirchhoff plate equations and series solutions, taking advantage of the symmetry and Gorman type decomposition of the free boundary conditions. The performances of the so-called Dynamic Stiffness Method (DSM) are evaluated by comparing the harmonic responses of an orthotropic Kirchhoff plate with those obtained from the Finite Element Method using four noded quadrilateral elements.

Domaines: Acoustique [physics.class-ph]

O. Ghorbel, J.B. Casimir, L. Hammami, Imad Tawfiq, M. Haddar. Dynamic stiffness formulation for free orthotropic plates. Journal of Sound and Vibration, 2015, 346, pp.361 - 375. ⟨10.1016/j.jsv.2015.02.020⟩. ⟨hal-01538423⟩