Author
D.J. Mead
Bio: D.J. Mead is an academic researcher from University of Southampton. The author has contributed to research in topics: Vibration & Wave propagation. The author has an hindex of 28, co-authored 47 publications receiving 4508 citations.
Topics: Vibration, Wave propagation, Beam (structure), Normal mode, Harmonic
Papers
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TL;DR: In this article, the transverse displacement of a three-layer sandwich beam with a viscoelastic core is derived in terms of the transversal displacement, w, for a 3D beam.
785 citations
TL;DR: In this paper, a general theory of harmonic wave propagation in one-dimensional periodic systems with multiple coupling between adjacent periodic elements is presented, where the motion of each element is expressed in terms of a finite number of displacement coordinates.
490 citations
TL;DR: In this paper, the authors considered the free harmonic motion of infinite beams on identical, equi-spaced supports and derived the flexural propagation constants for beams on rigid supports which exert elastic rotational restraint.
409 citations
TL;DR: In this article, the relationship between the bounding frequencies of propagation zones of mono-coupled periodic systems and the natural frequencies of the individual elements of which the system is composed is studied.
378 citations
Book•
11 Feb 1999
TL;DR: In this paper, the authors describe the response of structures to non-Harmonic motions and non-harmonic forces, and the control of Vibration by localized additions and added damping.
Abstract: The Response of Structures to Harmonic Forces. Receptance and Dynamic Stiffness. The Response of Structures to Prescribed Harmonic Motions. The Response of Structures to Non-Harmonic Excitation. Factors Controlling Beam and Plate Vibration. The Control of Vibration by Structural Design. The Control of Vibration by Localized Additions. The Control of Vibration by Added Damping. The Control of Vibration by Resilient Isolation. The Control of Vibration by Combined Methods. Index.
377 citations
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1,197 citations
TL;DR: A review of dynamic modelling of railway track and of the interaction of vehicle and track at frequencies which are sufficiently high for the track's dynamic behaviour to be significant is presented in this paper.
Abstract: A review is presented of dynamic modelling of railway track and of the interaction of vehicle and track at frequencies which are sufficiently high for the track's dynamic behaviour to be significant. Since noise is one of the most important consequences of wheel/rail interaction at high frequencies, the maximum frequency of interest is about 5kHz: the limit of human hearing. The topic is reviewed both historically and in particular with reference to the application of modelling to the solution of practical problems. Good models of the rail, the sleeper and the wheelset are now available for the whole frequency range of interest. However, it is at present impossible to predict either the dynamic behaviour of the railpad and ballast or their long term behaviour. This is regarded as the most promising area for future research.
615 citations
TL;DR: The techniques developed in this work can be used to design lattices with a desired band structure and the observed spatial filtering effects due to anisotropy at high frequencies (short wavelengths) of wave propagation are consistent with the lattice symmetries.
Abstract: Plane wave propagation in infinite two-dimensional periodic lattices is investigated using Floquet-Bloch principles. Frequency bandgaps and spatial filtering phenomena are examined in four representative planar lattice topologies: hexagonal honeycomb, Kagome lattice, triangular honeycomb, and the square honeycomb. These topologies exhibit dramatic differences in their long-wavelength deformation properties. Long-wavelength asymptotes to the dispersion curves based on homogenization theory are in good agreement with the numerical results for each of the four lattices. The slenderness ratio of the constituent beams of the lattice (or relative density) has a significant influence on the band structure. The techniques developed in this work can be used to design lattices with a desired band structure. The observed spatial filtering effects due to anisotropy at high frequencies (short wavelengths) of wave propagation are consistent with the lattice symmetries.
593 citations
TL;DR: In this article, the authors used fractional calculus to model the viscoelastic behavior of a damping layer in a simply supported beam and analyzed the beam by using both a continuum formulation and a finite element formulation to predict the transient response to a step loading.
Abstract: Fractional calculus is used to model the viscoelastic behavior of a damping layer in a simply supported beam. The beam is analyzed by using both a continuum formulation and a finite element formulation to predict the transient response to a step loading. The construction of the finite element equations of motion and the resulting nontraditional orthogonality conditions for the damped mode shapes are presented. Also presented are the modified forms of matrix iteration required to calculate eigenvalues and mode shapes for the damped structure. The continuum formulation, also incorporating the fractional calculus model, is used to verify the finite element approach. The location of the poles (damping and frequency) are found to be in satisfactory agreement, as are the modal amplitudes for the first several modes.
592 citations
Book•
01 Jan 1990TL;DR: 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 technique
592 citations