Standard

Asymptotic analysis of a bit brace shaped junction of thin rods. / Leugering, Günter; Nazarov, Sergei A.; Slutskij, Andrey S.; Taskinen, Jari.

In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 100, No. 1, e201900227, 01.01.2020.

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

Harvard

Leugering, G, Nazarov, SA, Slutskij, AS & Taskinen, J 2020, 'Asymptotic analysis of a bit brace shaped junction of thin rods', ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 100, no. 1, e201900227. https://doi.org/10.1002/zamm.201900227

APA

Leugering, G., Nazarov, S. A., Slutskij, A. S., & Taskinen, J. (2020). Asymptotic analysis of a bit brace shaped junction of thin rods. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 100(1), [e201900227]. https://doi.org/10.1002/zamm.201900227

Vancouver

Leugering G, Nazarov SA, Slutskij AS, Taskinen J. Asymptotic analysis of a bit brace shaped junction of thin rods. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2020 Jan 1;100(1). e201900227. https://doi.org/10.1002/zamm.201900227

Author

Leugering, Günter ; Nazarov, Sergei A. ; Slutskij, Andrey S. ; Taskinen, Jari. / Asymptotic analysis of a bit brace shaped junction of thin rods. In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2020 ; Vol. 100, No. 1.

BibTeX

@article{4c95f8bdf45f47e189e49b3d4821019b,
title = "Asymptotic analysis of a bit brace shaped junction of thin rods",
abstract = "We present a 1-D model of a junction of five thin elastic rods forming the shape of a bit brace (hand drill), or, a crankshaft. The distinguishing feature of this junction is the existence of the so-called movable elements, which are rods and knots requiring modifications of the classical asymptotic ans{\"a}tze. These consist of constant longitudinal displacements on the edges of the skeleton of the junction and affect the transmission conditions at its nodes. We provide asymptotic formulas for the displacements, stresses and elastic energy, as well as error estimates. An exact solution of the model is given for a particular loading.",
keywords = "asymptotic analysis, junction, Korn inequality, thin elastic rod, variational formulation",
author = "G{\"u}nter Leugering and Nazarov, {Sergei A.} and Slutskij, {Andrey S.} and Jari Taskinen",
year = "2020",
month = jan,
day = "1",
doi = "10.1002/zamm.201900227",
language = "English",
volume = "100",
journal = "ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik",
issn = "0044-2267",
publisher = "Wiley-Blackwell",
number = "1",

}

RIS

TY - JOUR

T1 - Asymptotic analysis of a bit brace shaped junction of thin rods

AU - Leugering, Günter

AU - Nazarov, Sergei A.

AU - Slutskij, Andrey S.

AU - Taskinen, Jari

PY - 2020/1/1

Y1 - 2020/1/1

N2 - We present a 1-D model of a junction of five thin elastic rods forming the shape of a bit brace (hand drill), or, a crankshaft. The distinguishing feature of this junction is the existence of the so-called movable elements, which are rods and knots requiring modifications of the classical asymptotic ansätze. These consist of constant longitudinal displacements on the edges of the skeleton of the junction and affect the transmission conditions at its nodes. We provide asymptotic formulas for the displacements, stresses and elastic energy, as well as error estimates. An exact solution of the model is given for a particular loading.

AB - We present a 1-D model of a junction of five thin elastic rods forming the shape of a bit brace (hand drill), or, a crankshaft. The distinguishing feature of this junction is the existence of the so-called movable elements, which are rods and knots requiring modifications of the classical asymptotic ansätze. These consist of constant longitudinal displacements on the edges of the skeleton of the junction and affect the transmission conditions at its nodes. We provide asymptotic formulas for the displacements, stresses and elastic energy, as well as error estimates. An exact solution of the model is given for a particular loading.

KW - asymptotic analysis

KW - junction

KW - Korn inequality

KW - thin elastic rod

KW - variational formulation

UR - http://www.scopus.com/inward/record.url?scp=85074846798&partnerID=8YFLogxK

U2 - 10.1002/zamm.201900227

DO - 10.1002/zamm.201900227

M3 - Article

AN - SCOPUS:85074846798

VL - 100

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - 1

M1 - e201900227

ER -

ID: 60873637