Dynamics of a Simple Rotating Structure

Morten Brøns; Poul G. Hjorth; Wolfhard Kliem

Dynamics of a Simple Rotating Structure

Morten Brøns, Poul G. Hjorth, Wolfhard Kliem

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

Small oscillations of an elasticum whose one end is constrained to move in uniform circular motion and whose free end carries a mass, are investigated with Poincare-Lindstedt series. It is demonstrated that the mass traverses a figure-eight shaped curve in a direction determined by the sign of the angular velocity and hence that the Coriolis force does influence the motion.

Original language	English
Journal	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume	76
Issue number	SUPPL 5
Pages (from-to)	75-76
ISSN	0044-2267
Publication status	Published - 1996
Event	3rd International Congress on Industrial and Applied Mathematics: Annual GAMM Meeting 1995 - Hamburg, Germany Duration: 3 Jul 1995 → 7 Jul 1995 Conference number: 3

Conference

Conference	3rd International Congress on Industrial and Applied Mathematics
Number	3
Country/Territory	Germany
City	Hamburg
Period	03/07/1995 → 07/07/1995

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title = "Dynamics of a Simple Rotating Structure",

abstract = "Small oscillations of an elasticum whose one end is constrained to move in uniform circular motion and whose free end carries a mass, are investigated with Poincare-Lindstedt series. It is demonstrated that the mass traverses a figure-eight shaped curve in a direction determined by the sign of the angular velocity and hence that the Coriolis force does influence the motion.",

author = "Morten Br{\o}ns and Hjorth, {Poul G.} and Wolfhard Kliem",

year = "1996",

language = "English",

volume = "76",

pages = "75--76",

journal = "ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik",

issn = "0044-2267",

publisher = "Wiley - V C H Verlag GmbH & Co. KGaA",

number = "SUPPL 5",

note = "3rd International Congress on Industrial and Applied Mathematics : Annual GAMM Meeting 1995, ICIAM '95/GAMM '95 ; Conference date: 03-07-1995 Through 07-07-1995",

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TY - JOUR

T1 - Dynamics of a Simple Rotating Structure

AU - Brøns, Morten

AU - Hjorth, Poul G.

AU - Kliem, Wolfhard

N1 - Conference code: 3

PY - 1996

Y1 - 1996

N2 - Small oscillations of an elasticum whose one end is constrained to move in uniform circular motion and whose free end carries a mass, are investigated with Poincare-Lindstedt series. It is demonstrated that the mass traverses a figure-eight shaped curve in a direction determined by the sign of the angular velocity and hence that the Coriolis force does influence the motion.

AB - Small oscillations of an elasticum whose one end is constrained to move in uniform circular motion and whose free end carries a mass, are investigated with Poincare-Lindstedt series. It is demonstrated that the mass traverses a figure-eight shaped curve in a direction determined by the sign of the angular velocity and hence that the Coriolis force does influence the motion.

M3 - Journal article

SN - 0044-2267

VL - 76

SP - 75

EP - 76

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

IS - SUPPL 5

T2 - 3rd International Congress on Industrial and Applied Mathematics

Y2 - 3 July 1995 through 7 July 1995

ER -

Dynamics of a Simple Rotating Structure

Abstract

Conference

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