Ultrasonic Waves 2012
DOI: 10.5772/29804
|View full text |Cite
|
Sign up to set email alerts
|

Modelling the Generation and Propagation of Ultrasonic Signals in Cylindrical Waveguides

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
46
0
1

Year Published

2012
2012
2023
2023

Publication Types

Select...
5
2
2

Relationship

0
9

Authors

Journals

citations
Cited by 61 publications
(47 citation statements)
references
References 42 publications
0
46
0
1
Order By: Relevance
“…According to the dispersion curves in Fig. 3 obtained for a single straight wire from PCdisp package [7] this frequency is located in non-dispersive region and it is a good candidate to generate L(0,1). It is worthy of mention that dispersive behavior of the L(0,1) mode in a single straight wire is not much different than a helical wire in this frequency region [8].…”
Section: Experiments and Resultsmentioning
confidence: 98%
“…According to the dispersion curves in Fig. 3 obtained for a single straight wire from PCdisp package [7] this frequency is located in non-dispersive region and it is a good candidate to generate L(0,1). It is worthy of mention that dispersive behavior of the L(0,1) mode in a single straight wire is not much different than a helical wire in this frequency region [8].…”
Section: Experiments and Resultsmentioning
confidence: 98%
“…(9), the direction of propagation z is still treated analytically. One way to solve (9) is to postulate solutions to be of the form ψ(z) =ψe λz (11) where ψ contains the amplitudes of nodal displacements and forceŝ ψ = û n q n (12) withq n = λE 0ûn + E T 1û n (13) λ is defined as λ = ik (14) where k can be identified as the wavenumber of a mode in the structure. Substituting (11) into (9) one obtains the eigenvalue problem −Zψ = λψ (15) or in matrix notation −Z = (16) where the columns of are the eigenvectors and denotes the diagonal matrix with the eigenvalues being the elements on the diagonal.…”
Section: Stiffness Matrices Of a Homogeneous Platementioning
confidence: 99%
“…For plates and pipes of infinite length, analytical approaches are well-established to compute wavenumbers and mode shapes of guided wave modes (see e.g. [9][10][11][12][13][14]). The knowledge of the modal propagation behavior helps to analyze the signals or extract modal reflection coefficients from standard Finite Element analyses by means of modal decomposition.…”
Section: Introductionmentioning
confidence: 99%
“…2a shows the phase velocities of the first propagating modes in the pipe. Results have been compared with the software PCdisp [9]. The group velocities presented in Fig.…”
Section: A Aluminum Pipementioning
confidence: 99%