Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method
ACM Transactions on Mathematical Software (TOMS)
Algorithm 837: AMD, an approximate minimum degree ordering algorithm
ACM Transactions on Mathematical Software (TOMS)
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
A three-layered sandwich element with improved transverse shear stiffness and stresses based on FSDT
Computers and Structures
A PSDT shell finite element formulation including structural damping
Computers and Structures
Harmonic response computation of viscoelastic multilayered structures using a ZPST shell element
Computers and Structures
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This paper uses a multilayered shell element to compute the dynamic response of multilayered poroelastic structures such as car instrument panels, car floors, or car roofs. It is based on the P-order Shear deformation Theory with an added Zigzag function (ZPST). Biot's theory is used to describe the poroelastic layer and standard couplings are realized between elastic and poroelastic layers. A method based on Pade approximants is also used in order to reduce the computation time. This acceleration technique enables to achieve fast frequency sweep computations compared to a standard direct method. Finally, numerical validations on plates and curved geometries are presented.