Running and Standing Waves of Timoshenko Beam

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Running and Standing Waves of Timoshenko Beam. / Abramyan, A. K.; Indeitsev, D. A.; Postnov, V. A.

In: Mechanics of Solids, Vol. 53, No. 2, 01.03.2018, p. 203-210.

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

BibTeX

@article{1f55d1fa43c943158e927f0a9dc9194d,

title = "Running and Standing Waves of Timoshenko Beam",

abstract = "Standing waves of a Timoshenko beamof finite length and their connectionwith running waves for an infinite beam are considered. It is shown that the principle of a “closed cycle” of a running wave is completely identical to the usual procedure of direct satisfaction from the side of the general solution for an infinite Timoshenko beam, to the boundary conditions of a beam of finite length. The question of the existence of a second frequency spectrum under arbitrary boundary conditions of a beam is discussed. A “relaxed approach” to the concept of the second frequency spectrum is proposed. The results of the theoretical analysis are confirmed by numerical calculations for the Timoshenko beam with elastic supports and elastic sealing of its end sections.",

keywords = "finite element method, running and standing waves, second frequency spectrum, Timoshenko beam, “closed loop” principle",

author = "Abramyan, {A. K.} and Indeitsev, {D. A.} and Postnov, {V. A.}",

year = "2018",

month = mar,

day = "1",

doi = "10.3103/S0025654418020115",

language = "English",

volume = "53",

pages = "203--210",

journal = "Mechanics of Solids",

issn = "0025-6544",

publisher = "Allerton Press, Inc.",

number = "2",

}

RIS

TY - JOUR

T1 - Running and Standing Waves of Timoshenko Beam

AU - Abramyan, A. K.

AU - Indeitsev, D. A.

AU - Postnov, V. A.

PY - 2018/3/1

Y1 - 2018/3/1

N2 - Standing waves of a Timoshenko beamof finite length and their connectionwith running waves for an infinite beam are considered. It is shown that the principle of a “closed cycle” of a running wave is completely identical to the usual procedure of direct satisfaction from the side of the general solution for an infinite Timoshenko beam, to the boundary conditions of a beam of finite length. The question of the existence of a second frequency spectrum under arbitrary boundary conditions of a beam is discussed. A “relaxed approach” to the concept of the second frequency spectrum is proposed. The results of the theoretical analysis are confirmed by numerical calculations for the Timoshenko beam with elastic supports and elastic sealing of its end sections.

AB - Standing waves of a Timoshenko beamof finite length and their connectionwith running waves for an infinite beam are considered. It is shown that the principle of a “closed cycle” of a running wave is completely identical to the usual procedure of direct satisfaction from the side of the general solution for an infinite Timoshenko beam, to the boundary conditions of a beam of finite length. The question of the existence of a second frequency spectrum under arbitrary boundary conditions of a beam is discussed. A “relaxed approach” to the concept of the second frequency spectrum is proposed. The results of the theoretical analysis are confirmed by numerical calculations for the Timoshenko beam with elastic supports and elastic sealing of its end sections.

KW - finite element method

KW - running and standing waves

KW - second frequency spectrum

KW - Timoshenko beam

KW - “closed loop” principle

UR - http://www.scopus.com/inward/record.url?scp=85055032306&partnerID=8YFLogxK

U2 - 10.3103/S0025654418020115

DO - 10.3103/S0025654418020115

M3 - Article

AN - SCOPUS:85055032306

VL - 53

SP - 203

EP - 210

JO - Mechanics of Solids

JF - Mechanics of Solids

SN - 0025-6544

IS - 2

ER -

ID: 75068916