Torsional vibration analysis of shafts with sections of tapered diameter

John R. Baker; Keith E. Rouch

Torsional vibration analysis of shafts with sections of tapered diameter

John R. Baker, Keith E. Rouch

Mechanical and Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

This paper presents the development of two tapered finite elements for use in torsional vibration analysis of rotor systems. These elements are particularly useful in analysis of systems that have shaft sections with linearly varying diameters. Both elements are defined by two ends node, and inertia matrices are derived based on a consistent mass formulation. One element assumes a cubic displacement function and has two degrees of freedom at each node: rotation about the shaft's axis and change in angle of rotation with respect to the axial distance along the shaft.The other element assumes a linear displacement function and has one rotational degree of freedom at each node.

Original language	English
Title of host publication	Vibration of Rotating Systems
Pages	55-65
Number of pages	11
State	Published - 1993
Event	Proceedings of the 14th Biennial ASME Design Technical Conference on Mechanical Vibration and Noise - Albuquerque, NM, USA Duration: Sep 19 1993 → Sep 22 1993

Publication series

Name	American Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Volume	60

Conference

Conference	Proceedings of the 14th Biennial ASME Design Technical Conference on Mechanical Vibration and Noise
City	Albuquerque, NM, USA
Period	9/19/93 → 9/22/93

ASJC Scopus subject areas

General Engineering

Cite this

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title = "Torsional vibration analysis of shafts with sections of tapered diameter",

abstract = "This paper presents the development of two tapered finite elements for use in torsional vibration analysis of rotor systems. These elements are particularly useful in analysis of systems that have shaft sections with linearly varying diameters. Both elements are defined by two ends node, and inertia matrices are derived based on a consistent mass formulation. One element assumes a cubic displacement function and has two degrees of freedom at each node: rotation about the shaft's axis and change in angle of rotation with respect to the axial distance along the shaft.The other element assumes a linear displacement function and has one rotational degree of freedom at each node.",

author = "Baker, {John R.} and Rouch, {Keith E.}",

year = "1993",

language = "English",

isbn = "0791806391",

series = "American Society of Mechanical Engineers, Design Engineering Division (Publication) DE",

pages = "55--65",

booktitle = "Vibration of Rotating Systems",

note = "Proceedings of the 14th Biennial ASME Design Technical Conference on Mechanical Vibration and Noise ; Conference date: 19-09-1993 Through 22-09-1993",

}

Baker, JR & Rouch, KE 1993, Torsional vibration analysis of shafts with sections of tapered diameter. in Vibration of Rotating Systems. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, vol. 60, pp. 55-65, Proceedings of the 14th Biennial ASME Design Technical Conference on Mechanical Vibration and Noise, Albuquerque, NM, USA, 9/19/93.

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T1 - Torsional vibration analysis of shafts with sections of tapered diameter

AU - Baker, John R.

AU - Rouch, Keith E.

PY - 1993

Y1 - 1993

N2 - This paper presents the development of two tapered finite elements for use in torsional vibration analysis of rotor systems. These elements are particularly useful in analysis of systems that have shaft sections with linearly varying diameters. Both elements are defined by two ends node, and inertia matrices are derived based on a consistent mass formulation. One element assumes a cubic displacement function and has two degrees of freedom at each node: rotation about the shaft's axis and change in angle of rotation with respect to the axial distance along the shaft.The other element assumes a linear displacement function and has one rotational degree of freedom at each node.

AB - This paper presents the development of two tapered finite elements for use in torsional vibration analysis of rotor systems. These elements are particularly useful in analysis of systems that have shaft sections with linearly varying diameters. Both elements are defined by two ends node, and inertia matrices are derived based on a consistent mass formulation. One element assumes a cubic displacement function and has two degrees of freedom at each node: rotation about the shaft's axis and change in angle of rotation with respect to the axial distance along the shaft.The other element assumes a linear displacement function and has one rotational degree of freedom at each node.

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M3 - Conference contribution

AN - SCOPUS:0027866218

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T3 - American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

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EP - 65

BT - Vibration of Rotating Systems

T2 - Proceedings of the 14th Biennial ASME Design Technical Conference on Mechanical Vibration and Noise

Y2 - 19 September 1993 through 22 September 1993

ER -

Torsional vibration analysis of shafts with sections of tapered diameter

Abstract

Publication series

Conference

ASJC Scopus subject areas

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