Comparison of computational generalized and standard eigenvalue solutions of rotating systems

Ali Tatar, Loic Salles, Alexander H. Haslam, Christoph W. Schwingshackl

Результат исследований: Глава в книге, отчете, сборнике статейМатериалы для конференциирецензирование

2 Цитирования (Scopus)

Аннотация

Modal analysis is regularly used to compute natural frequencies and mode shapes of structures via eigenvalue solutions in vibration engineering. In this paper, the eigenvalue problem of a 6 degrees of freedom rotating system with gyroscopic effects, including axial, torsional and lateral motion, is investigated using Timoshenko beam theory. The main focus thereby is the investigation of the computational time and the numerical errors in generalized and standard eigenvalue solutions of rotating systems. The finite element method is employed to compute the global stiffness, mass and gyroscopic matrices of the rotating system. The equations of motion is expressed in the state space form to convert the quadratic eigenvalue problem into the generalized and standard forms. The number of elements in the finite element model was varied to investigate the convergence of the natural frequencies and the computational performance of the two eigenvalue solutions. The numerical analyses show that the standard eigenvalue solution is significantly faster than the generalized one with increasing number of elements and the generalized eigenvalue solution can yield wrong solutions when using higher numbers of elements due to the ill-conditioning phenomenon. In this regard, the standard eigenvalue solution gives more reliable results and uses less computational time than the generalized one.

Язык оригиналаАнглийский
Название основной публикацииTopics in Modal Analysis and Testing, Volume 9 - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018
РедакторыMichael Mains, Brandon J. Dilworth
ИздательSpringer Science and Business Media, LLC
Страницы187-194
Число страниц8
ISBN (печатное издание)9783319746999
DOI
СостояниеОпубликовано - 2019
Опубликовано для внешнего пользованияДа
Событие36th IMAC, A Conference and Exposition on Structural Dynamics, 2018 - [state] FL, Соединенные Штаты Америки
Продолжительность: 12 февр. 201815 февр. 2018

Серия публикаций

НазваниеConference Proceedings of the Society for Experimental Mechanics Series
ISSN (печатное издание)2191-5644
ISSN (электронное издание)2191-5652

Конференция

Конференция36th IMAC, A Conference and Exposition on Structural Dynamics, 2018
Страна/TерриторияСоединенные Штаты Америки
Город[state] FL
Период12/02/1815/02/18

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