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Introduction to finite element vibration analysis
TLDR
In this article, the finite element displacement method was used for the analysis of free vibration of plates and shells, and for the simulation of forced response and forced response analysis of rigid and flexible plates.Abstract:
1 Formulation of the equations of motion 2 Element energy functions 3 Introduction to the finite element displacement method 4 In-plane vibration of plates 5 Vibration of solids 6 Flexural vibration of plates 7 Vibration of stiffened plates and folded plate structures 8 Vibration of shells 9 Vibration of laminated plates and shells 10 Hierarchical finite element method 11 Analysis of free vibration 12 Forced response 13 Forced response II 14 Computer analysis techniqueread more
Citations
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MonographDOI
Dynamics of rotating machines
TL;DR: In this article, the reader can understand the dynamics of rotating machines by using extremely simple models for each phenomenon, in which (at most) four equations capture the behavior of rotor vibration.
Journal ArticleDOI
Modelling wave propagation in two-dimensional structures using finite element analysis
Brian R. Mace,Elisabetta Manconi +1 more
TL;DR: In this article, a wave/finite element (WFE) method is described by which the dispersion relations for a two-dimensional structural component can be predicted from a finite element (FE) model.
Journal ArticleDOI
Bending and free vibration response of layered functionally graded beams: A theoretical model and its experimental validation
TL;DR: In this article, a third order zigzag theory based model for layered functionally graded beams in conjunction with the modified rule of mixtures (MROM) for effective modulus of elasticity is validated through experiments for static and free vibration response.
Journal ArticleDOI
Finite element analysis of the vibrations of waveguides and periodic structures
TL;DR: In this article, a combination of wave and finite element (FE) approaches is presented to calculate the forced response of a structural component using a set of basis functions for the analysis of the structure as a whole.
Journal ArticleDOI
Railway-induced ground vibrations – a review of vehicle effects
TL;DR: A review of the effect of vehicle characteristics on ground-and track borne-vibrations from railways is presented in this article, which combines traditional theory with modern thinking and uses a range of numerical analysis and experimental results.
References
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Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book
Theory of plates and shells
TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
Book
Methods of Mathematical Physics
Richard Courant,David Hilbert +1 more
TL;DR: In this paper, the authors present an algebraic extension of LINEAR TRANSFORMATIONS and QUADRATIC FORMS, and apply it to EIGEN-VARIATIONS.