𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A substructuring technique for finite element wave propagation in multi-layered systems

✍ Scribed by J.-M. Mencik; M.N. Ichchou

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
698 KB
Volume
197
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, the guided wave propagation in multi-layered elastic slender systems is numerically analyzed. In this context, the applicability of the wave finite element (WFE) formulation is discussed for the description of the wave modes and their frequency evolutions. The WFE formulation suffers from a number of numerical issues, especially when multi-layered structures are concerned. To address this problem, a dynamic substructuring technique is proposed, which allows the dynamics of a typical layer cross-section to be projected on a reduced local wave mode basis with appropriate dimension. The formulation, termed modified wave finite element (MWFE), allows the standard wave motions of multi-layered systems to be correctly captured. Numerical simulations and comparisons with classic theories show the pertinence of the modelings.

πŸ“œ SIMILAR VOLUMES

Space-time finite elements for the analy
Space-time finite elements for the analysis of transient wave propagation in unbounded layered media
✍ M.N. Guddati; J.L. Tassoulas πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 574 KB

A new method is proposed for the analysis of transient wave propagation in a layered stratum[ It makes use of the separation of variables technique and reduces the spatial dimension of analysis to one[ The resulting system of hyperbolic partial di}erential equations is solved via element!by!element

A technique for predicting relaxational
A technique for predicting relaxational effects on finite-amplitude wave propagation in liquid media
✍ B.B. Cary; F.H. Fenlon πŸ“‚ Article πŸ“… 1970 πŸ› Elsevier Science 🌐 English βš– 545 KB

A generalized Burgers' equation is derived which governs the propagation of finiteamplitude impulses in relaxing liquids. If the attenuation dependence on frequency is known, then, as is done in filter theory, a time domain representation can be found in operator form. As an illustrative example, th

A PARTICLE TRACKING TECHNIQUE FOR THE LA
A PARTICLE TRACKING TECHNIQUE FOR THE LAGRANGIAN–EULERIAN FINITE ELEMENT METHOD IN MULTI-DIMENSIONS
✍ H.-P. CHENG; J.-R. CHENG; G.-T. YEH πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 998 KB

This paper presents a multi-dimensional particle tracking technique for applying the Lagrangian-Eulerian finite element method to solve transport equations in transient-state simulations. In the Lagrangian-Eulerian approach, the advection term is handled in the Lagrangian step so that the associated

A Finite Element Propagation Model for E
A Finite Element Propagation Model for Extracting Normal Incidence Impedance in Nonprogressive Acoustic Wave Fields
✍ Willie R. Watson; Michael G. Jones; Sharon E. Tanner; Tony L. Parrott πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 366 KB

tion model method. The T-tube and in situ methods have several drawbacks that are discussed at length in Ref. [4]. A propagation model method for extracting the normal incidence impedance of an acoustic material installed as a finite length seg-These two measurement methods do, however, serve as me