Titlebook: Wave Propagation in Structures; James F. Doyle Textbook 2021Latest edition The Editor(s) (if applicable) and The Author(s), under exclusiv

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The Spectral Element Method,nificant difference that the element stiffness matrix is established in the frequency domain. These spectrally formulated elements describe exactly the wave propagation dynamics and this means that elements can span all the way from one joint to another without losing fidelity. Furthermore, the syst

Rankle

Waves in Plates and Cylinders,rge plates using the periodically extended load method. An extended plate can have a localized boundary; in that case the reflected waves are called scattered waves. The case of wave impinging on a rigid disk is considered in detail. The chapter concludes by considering waves (both along the length

嬉耍

Thin-Walled Structures,The objective of this chapter is to develop such a methodology for multicelled thin-walled structures. The approach is similar to that of the spectral element method for waveguides, but the stiffness is established in the frequency/wavenumber domain. That is, the individual elements are infinite alo

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,Structure–Fluid Interactions,or water. The chapter begins by briefly reviewing some of the basics of acoustic waves. Then, the analysis of a plane wave incident on a flat plate is used to introduce such concepts as the coincidence frequency. Point loadings are used as the interrogators for the responses for parallel panels and

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哑剧

Spectral Analysis of Wave Motion,urces of errors in using it on finite samples and ways of reducing their influences are discussed. The Fourier transform is then applied to wave analysis. The crucial step is to set up the connection between the spectral responses at different space locations—we do this through the governing differe

SNEER

Longitudinal Waves in Rods,is illustrated by considering such usually complicating factors as viscoelasticity and elastic constraints. Particular emphasis is placed on the waves interacting with discontinuities such as boundaries and changes in cross section..The basic waves in rods are described by a single mode; coupled the

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diathermy

Higher Order Waveguide Models,rmation modes are supported. Because the higher order modes become important only at the higher frequencies a scheme is introduced for constructing higher order waveguide models but using only a limited number of modes. This utilizes the Ritz semi-direct method. Refined rod and beam models are devel

frozen-shoulder

The Spectral Element Method,nificant difference that the element stiffness matrix is established in the frequency domain. These spectrally formulated elements describe exactly the wave propagation dynamics and this means that elements can span all the way from one joint to another without losing fidelity. Furthermore, the syst