Asymptotic Analysis of Double-Row Riveting of Kirchhoff Plates

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Asymptotic Analysis of Double-Row Riveting of Kirchhoff Plates. / Nazarov, S. A.

In: Doklady Physics, Vol. 65, No. 12, 12.2020, p. 442-446.

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

BibTeX

@article{d0f6ca22f5524716bd61464f42763f82,

title = "Asymptotic Analysis of Double-Row Riveting of Kirchhoff Plates",

abstract = "Abstract: Two Kirchhoff plates are considered that are joined by means of two rows of rivets posed with the small period h and modeled by Sobolev point transmission conditions. A new and unexpected effect is observed, namely the almost complete clutch of the plates occurs even for an exponentially small (with respect to h) distance between the rows in the mirror symmetry case. The same effect appears in the case of rivets in chessboard order only for the power-law smallness of the distance. These results are obtained with the help of analysis of boundary layer phenomena. Conditions are found to provide the hinge joint of the plates with friction at the limit.",

keywords = "complete clutch and hinge joint, riveted plates, Sobolev point conditions",

author = "Nazarov, {S. A.}",

note = "Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd.",

year = "2020",

month = dec,

doi = "10.1134/S102833582012006X",

language = "English",

volume = "65",

pages = "442--446",

journal = "Doklady Physics",

issn = "1028-3358",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "12",

}

RIS

TY - JOUR

T1 - Asymptotic Analysis of Double-Row Riveting of Kirchhoff Plates

AU - Nazarov, S. A.

PY - 2020/12

Y1 - 2020/12

N2 - Abstract: Two Kirchhoff plates are considered that are joined by means of two rows of rivets posed with the small period h and modeled by Sobolev point transmission conditions. A new and unexpected effect is observed, namely the almost complete clutch of the plates occurs even for an exponentially small (with respect to h) distance between the rows in the mirror symmetry case. The same effect appears in the case of rivets in chessboard order only for the power-law smallness of the distance. These results are obtained with the help of analysis of boundary layer phenomena. Conditions are found to provide the hinge joint of the plates with friction at the limit.

AB - Abstract: Two Kirchhoff plates are considered that are joined by means of two rows of rivets posed with the small period h and modeled by Sobolev point transmission conditions. A new and unexpected effect is observed, namely the almost complete clutch of the plates occurs even for an exponentially small (with respect to h) distance between the rows in the mirror symmetry case. The same effect appears in the case of rivets in chessboard order only for the power-law smallness of the distance. These results are obtained with the help of analysis of boundary layer phenomena. Conditions are found to provide the hinge joint of the plates with friction at the limit.

KW - complete clutch and hinge joint

KW - riveted plates

KW - Sobolev point conditions

UR - http://www.scopus.com/inward/record.url?scp=85101783856&partnerID=8YFLogxK

U2 - 10.1134/S102833582012006X

DO - 10.1134/S102833582012006X

M3 - Article

AN - SCOPUS:85101783856

VL - 65

SP - 442

EP - 446

JO - Doklady Physics

JF - Doklady Physics

SN - 1028-3358

IS - 12

ER -

ID: 88366270