Transition radiation in an elastically supported string: Abrupt and smooth variations of the support stiffness

A. V. Metrikine; A.R.M. Wolfert; H.A. Dieterman

doi:10.1016/s0165-2125(97)00055-3

Transition radiation in an elastically supported string: Abrupt and smooth variations of the support stiffness

A. V. Metrikine, A.R.M. Wolfert^*, H.A. Dieterman

^*Corresponding author for this work

Materials and Environment

Research output: Contribution to journal › Article › Scientific › peer-review

12 Citations (Scopus)

Abstract

Generation of waves due to a constant load moving uniformly along an infinite string resting on an inhomogeneous elastic foundation is studied. Two types of inhomogeneity are considered: (1) an abrupt change of the foundation stiffness: (2) a smooth change of the foundation stiffness. It is shown that transition radiation arises as the load passes the region of inhomogeneity. Expressions for the spectral density of the radiation energy forwards (in the direction of the load motion) and backwards are found and analysed as a function of the load velocity, the ratio of the foundation stiffness and a characteristic length of the inhomogeneity. To visualise the process of radiation the transient vibrations of the string are determined for an abrupt change of the stiffness.

Original language	English
Pages (from-to)	291-305
Number of pages	15
Journal	Wave Motion
Volume	27
Issue number	4
DOIs	https://doi.org/10.1016/s0165-2125(97)00055-3
Publication status	Published - May 1998

Access to Document

10.1016/s0165-2125(97)00055-3

Cite this

@article{4d1018f78c8048c8a06a9100ae1843ea,

title = "Transition radiation in an elastically supported string: Abrupt and smooth variations of the support stiffness",

abstract = "Generation of waves due to a constant load moving uniformly along an infinite string resting on an inhomogeneous elastic foundation is studied. Two types of inhomogeneity are considered: (1) an abrupt change of the foundation stiffness: (2) a smooth change of the foundation stiffness. It is shown that transition radiation arises as the load passes the region of inhomogeneity. Expressions for the spectral density of the radiation energy forwards (in the direction of the load motion) and backwards are found and analysed as a function of the load velocity, the ratio of the foundation stiffness and a characteristic length of the inhomogeneity. To visualise the process of radiation the transient vibrations of the string are determined for an abrupt change of the stiffness.",

author = "Metrikine, {A. V.} and A.R.M. Wolfert and H.A. Dieterman",

year = "1998",

month = may,

doi = "10.1016/s0165-2125(97)00055-3",

language = "English",

volume = "27",

pages = "291--305",

journal = "Wave Motion",

issn = "0165-2125",

publisher = "Elsevier",

number = "4",

}

TY - JOUR

T1 - Transition radiation in an elastically supported string

T2 - Abrupt and smooth variations of the support stiffness

AU - Metrikine, A. V.

AU - Wolfert, A.R.M.

AU - Dieterman, H.A.

PY - 1998/5

Y1 - 1998/5

N2 - Generation of waves due to a constant load moving uniformly along an infinite string resting on an inhomogeneous elastic foundation is studied. Two types of inhomogeneity are considered: (1) an abrupt change of the foundation stiffness: (2) a smooth change of the foundation stiffness. It is shown that transition radiation arises as the load passes the region of inhomogeneity. Expressions for the spectral density of the radiation energy forwards (in the direction of the load motion) and backwards are found and analysed as a function of the load velocity, the ratio of the foundation stiffness and a characteristic length of the inhomogeneity. To visualise the process of radiation the transient vibrations of the string are determined for an abrupt change of the stiffness.

AB - Generation of waves due to a constant load moving uniformly along an infinite string resting on an inhomogeneous elastic foundation is studied. Two types of inhomogeneity are considered: (1) an abrupt change of the foundation stiffness: (2) a smooth change of the foundation stiffness. It is shown that transition radiation arises as the load passes the region of inhomogeneity. Expressions for the spectral density of the radiation energy forwards (in the direction of the load motion) and backwards are found and analysed as a function of the load velocity, the ratio of the foundation stiffness and a characteristic length of the inhomogeneity. To visualise the process of radiation the transient vibrations of the string are determined for an abrupt change of the stiffness.

UR - http://www.scopus.com/inward/record.url?scp=0040083195&partnerID=8YFLogxK

U2 - 10.1016/s0165-2125(97)00055-3

DO - 10.1016/s0165-2125(97)00055-3

M3 - Article

AN - SCOPUS:0040083195

VL - 27

SP - 291

EP - 305

JO - Wave Motion

JF - Wave Motion

SN - 0165-2125

IS - 4

ER -

Transition radiation in an elastically supported string: Abrupt and smooth variations of the support stiffness

Abstract

Access to Document

Other files and links

Fingerprint

Cite this