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The Axisymmetric Harmonic Element In...

Rose Hulman Institute of Technology.

The Axisymmetric Harmonic Element Including Gyroscopic Effects: A Complete Derivation.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The Axisymmetric Harmonic Element Including Gyroscopic Effects: A Complete Derivation./
Author:	Glick, Zachary Charles.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2019,
Description:	81 p.
Notes:	Source: Masters Abstracts International, Volume: 81-04.
Contained By:	Masters Abstracts International81-04.
Subject:	Mechanical engineering. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10287893
ISBN:	9781088313893

The Axisymmetric Harmonic Element Including Gyroscopic Effects: A Complete Derivation.
Glick, Zachary Charles.

The Axisymmetric Harmonic Element Including Gyroscopic Effects: A Complete Derivation. - Ann Arbor : ProQuest Dissertations & Theses, 2019 - 81 p.

Source: Masters Abstracts International, Volume: 81-04.

Thesis (M.S.)--Rose Hulman Institute of Technology, 2019.

This item must not be sold to any third party vendors.

Various types of finite elements have been used in the prediction of critical speeds of turbomachinery. Among these, axisymmetric harmonic elements provide both accurate natural frequency prediction and computational speed. Yet, a full derivation of such an element including gyroscopic effects is not widely available in the relevant literature. In this work, the finite elements for rotordynamics available in the literature are reviewed. Derivations necessary for the axisymmetric harmonic element mass, gyroscopic damping, and stiffness matrices and the equations of motion are clearly expounded using Hamilton’s principle.The formulation is applied to two model shafts, and the comparison of results is documented showing the axisymmetric harmonic element to be adequate for use in critical speed identification. Rotor natural frequencies and mode shapes are yielded from the quadratic eigenvalue problem. The generation of Campbell diagrams, made available by the inclusion of gyroscopic effects, is performed.

ISBN: 9781088313893Subjects--Topical Terms:

557493
Mechanical engineering.
Subjects--Index Terms:

Computational science

The Axisymmetric Harmonic Element Including Gyroscopic Effects: A Complete Derivation.
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245 1 4 $a The Axisymmetric Harmonic Element Including Gyroscopic Effects: A Complete Derivation.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2019
300 $a 81 p.
500 $a Source: Masters Abstracts International, Volume: 81-04.
500 $a Advisor: Jones, Simon W.
502 $a Thesis (M.S.)--Rose Hulman Institute of Technology, 2019.
506 $a This item must not be sold to any third party vendors.
520 $a Various types of finite elements have been used in the prediction of critical speeds of turbomachinery. Among these, axisymmetric harmonic elements provide both accurate natural frequency prediction and computational speed. Yet, a full derivation of such an element including gyroscopic effects is not widely available in the relevant literature. In this work, the finite elements for rotordynamics available in the literature are reviewed. Derivations necessary for the axisymmetric harmonic element mass, gyroscopic damping, and stiffness matrices and the equations of motion are clearly expounded using Hamilton’s principle.The formulation is applied to two model shafts, and the comparison of results is documented showing the axisymmetric harmonic element to be adequate for use in critical speed identification. Rotor natural frequencies and mode shapes are yielded from the quadratic eigenvalue problem. The generation of Campbell diagrams, made available by the inclusion of gyroscopic effects, is performed.
590 $a School code: 1730.
650 4 $a Mechanical engineering. $3 557493
650 4 $a Mathematics. $3 527692
650 4 $a Computer science. $3 573171
653 $a Computational science
653 $a Finite element
653 $a Gyroscopic matrix
653 $a Mechanical engineering
653 $a Rotordynamics
653 $a Structural dynamics
690 $a 0548
690 $a 0405
690 $a 0984
710 2 $a Rose Hulman Institute of Technology. $b Mechanical Engineering. $3 1191097
773 0 $t Masters Abstracts International $g 81-04.
790 $a 1730
791 $a M.S.
792 $a 2019
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10287893

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