Asymptotic analysis of a bit brace shaped junction of thin rods

Leugering G, Nazarov SA, Slutskij AS, Taskinen J (2020)

Publication Type: Journal article

Publication year: 2020

Journal

ZAMM - Zeitschrift für angewandte Mathematik und Mechanik Wiley-VCH Verlag

Book Volume: 100

Journal Issue: 1

DOI: 10.1002/zamm.201900227

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 ansatze. 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.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

Saint Petersburg State University (SPbU) / Санкт-Петербургский государственный университет (СПбГУ)

Russian Federation (RU) Russian Academy of Sciences / Росси́йская акаде́мия нау́к (RAS)

Russian Federation (RU) Helsingin yliopisto / University of Helsinki

Finland (FI)

How to cite

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 für angewandte Mathematik und Mechanik, 100(1). https://dx.doi.org/10.1002/zamm.201900227

MLA:

Leugering, Günter, et al. "Asymptotic analysis of a bit brace shaped junction of thin rods." ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 100.1 (2020).

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