Localized waves in a string of infinite length lying on a damaged elastic base under finitely many impacts

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Localized waves in a string of infinite length lying on a damaged elastic base under finitely many impacts. / Abramyan, A. K.; Vakulenko, S. A.; Indeitsev, D. A.

In: Mechanics of Solids, Vol. 51, No. 5, 01.09.2016, p. 583-587.

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

BibTeX

@article{7ea26740308f4cd7b98cbb8186a559ce,

title = "Localized waves in a string of infinite length lying on a damaged elastic base under finitely many impacts",

abstract = "Asymptotic solutions of the problem of dynamics of an infinitely long string lying on an elastic base with prescribed damage under the action of finitely many periodic impacts are constructed in the two cases of small and large damage of the elastic base. The condition of resonance origination in the string is obtained in the case of small damage when the standing wave is localized in the region of damage. At the final stage of the damage growth in the elastic base, when its value is close to the critical one, the localized mode and the resonance are absent, and only a traveling wave exists in the string.",

keywords = "damage, impact, resonance, string, wave localization",

author = "Abramyan, {A. K.} and Vakulenko, {S. A.} and Indeitsev, {D. A.}",

year = "2016",

month = sep,

day = "1",

doi = "10.3103/S0025654416050113",

language = "English",

volume = "51",

pages = "583--587",

journal = "Mechanics of Solids",

issn = "0025-6544",

publisher = "Allerton Press, Inc.",

number = "5",

}

RIS

TY - JOUR

T1 - Localized waves in a string of infinite length lying on a damaged elastic base under finitely many impacts

AU - Abramyan, A. K.

AU - Vakulenko, S. A.

AU - Indeitsev, D. A.

PY - 2016/9/1

Y1 - 2016/9/1

N2 - Asymptotic solutions of the problem of dynamics of an infinitely long string lying on an elastic base with prescribed damage under the action of finitely many periodic impacts are constructed in the two cases of small and large damage of the elastic base. The condition of resonance origination in the string is obtained in the case of small damage when the standing wave is localized in the region of damage. At the final stage of the damage growth in the elastic base, when its value is close to the critical one, the localized mode and the resonance are absent, and only a traveling wave exists in the string.

AB - Asymptotic solutions of the problem of dynamics of an infinitely long string lying on an elastic base with prescribed damage under the action of finitely many periodic impacts are constructed in the two cases of small and large damage of the elastic base. The condition of resonance origination in the string is obtained in the case of small damage when the standing wave is localized in the region of damage. At the final stage of the damage growth in the elastic base, when its value is close to the critical one, the localized mode and the resonance are absent, and only a traveling wave exists in the string.

KW - damage

KW - impact

KW - resonance

KW - string

KW - wave localization

UR - http://www.scopus.com/inward/record.url?scp=85013212413&partnerID=8YFLogxK

U2 - 10.3103/S0025654416050113

DO - 10.3103/S0025654416050113

M3 - Article

AN - SCOPUS:85013212413

VL - 51

SP - 583

EP - 587

JO - Mechanics of Solids

JF - Mechanics of Solids

SN - 0025-6544

IS - 5

ER -

ID: 75069730