Buckling problem for a rod longitudinally compressed by a force smaller than the Euler critical force

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Buckling problem for a rod longitudinally compressed by a force smaller than the Euler critical force. / Belyaev, A. K.; Morozov, N. F.; Tovstik, P. E.; Tovstik, T. P.

In: Mechanics of Solids, Vol. 51, No. 3, 01.05.2016, p. 263-272.

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

BibTeX

@article{5d2bcd60391b485cbfc42623be72e3da,

title = "Buckling problem for a rod longitudinally compressed by a force smaller than the Euler critical force",

abstract = "It was earlier shown that a rod can buckle under the action of a sudden longitudinal load smaller than the Euler critical load. The buckling mechanism is related to excitation of periodic longitudinal waves generated in the rod by the sudden loading, which in turn lead to transverse parametric resonances. In the linear approximation, the transverse vibration amplitude increases unboundedly, and in the geometrically nonlinear approach, beats with energy exchange from longitudinal to transverse vibrations and back can arise. In this case, the transverse vibration amplitude can be significant. In the present paper, we study how this amplitude responds to the following two factors: the smoothness of application of the longitudinal force and the internal friction forces in the rod material.",

keywords = "lateral bending, longitudinal impact, parametric resonance, rod",

author = "Belyaev, {A. K.} and Morozov, {N. F.} and Tovstik, {P. E.} and Tovstik, {T. P.}",

note = "Publisher Copyright: {\textcopyright} 2016, Allerton Press, Inc.",

year = "2016",

month = may,

day = "1",

doi = "10.3103/S0025654416030031",

language = "English",

volume = "51",

pages = "263--272",

journal = "Mechanics of Solids",

issn = "0025-6544",

publisher = "Allerton Press, Inc.",

number = "3",

}

RIS

TY - JOUR

T1 - Buckling problem for a rod longitudinally compressed by a force smaller than the Euler critical force

AU - Belyaev, A. K.

AU - Morozov, N. F.

AU - Tovstik, P. E.

AU - Tovstik, T. P.

PY - 2016/5/1

Y1 - 2016/5/1

N2 - It was earlier shown that a rod can buckle under the action of a sudden longitudinal load smaller than the Euler critical load. The buckling mechanism is related to excitation of periodic longitudinal waves generated in the rod by the sudden loading, which in turn lead to transverse parametric resonances. In the linear approximation, the transverse vibration amplitude increases unboundedly, and in the geometrically nonlinear approach, beats with energy exchange from longitudinal to transverse vibrations and back can arise. In this case, the transverse vibration amplitude can be significant. In the present paper, we study how this amplitude responds to the following two factors: the smoothness of application of the longitudinal force and the internal friction forces in the rod material.

AB - It was earlier shown that a rod can buckle under the action of a sudden longitudinal load smaller than the Euler critical load. The buckling mechanism is related to excitation of periodic longitudinal waves generated in the rod by the sudden loading, which in turn lead to transverse parametric resonances. In the linear approximation, the transverse vibration amplitude increases unboundedly, and in the geometrically nonlinear approach, beats with energy exchange from longitudinal to transverse vibrations and back can arise. In this case, the transverse vibration amplitude can be significant. In the present paper, we study how this amplitude responds to the following two factors: the smoothness of application of the longitudinal force and the internal friction forces in the rod material.

KW - lateral bending

KW - longitudinal impact

KW - parametric resonance

KW - rod

UR - http://www.scopus.com/inward/record.url?scp=84978765455&partnerID=8YFLogxK

U2 - 10.3103/S0025654416030031

DO - 10.3103/S0025654416030031

M3 - Article

AN - SCOPUS:84978765455

VL - 51

SP - 263

EP - 272

JO - Mechanics of Solids

JF - Mechanics of Solids

SN - 0025-6544

IS - 3

ER -

ID: 100698757