A Modal-Based Substructure Method Applied to Nonlinear Rotordynamic Systems
Author
Source
International Journal of Rotating Machinery
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-12-15
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The discretisation of rotordynamic systems usually results in a high number of coordinates, so the computation of the solution of the equations of motion is very time consuming.
An efficient semianalytic time-integration method combined with a substructure technique is given, which accounts for nonsymmetric matrices and local nonlinearities.
The partitioning of the equation of motion into two substructures is performed.
Symmetric and linear background systems are defined for each substructure.
The excitation of the substructure comes from the given excitation force, the nonlinear restoring force, the induced force due to the gyroscopic and circulatory effects of the substructure under consideration and the coupling force of the substructures.
The high effort for the analysis with complex numbers, which is necessary for nonsymmetric systems, is omitted.
The solution is computed by means of an integral formulation.
A suitable approximation for the unknown coordinates, which are involved in the coupling forces, has to be introduced and the integration results in Green's functions of the considered substructures.
Modal analysis is performed for each linear and symmetric background system of the substructure.
Modal reduction can be easily incorporated and the solution is calculated iteratively.
The numerical behaviour of the algorithm is discussed and compared to other approximate methods of nonlinear structural dynamics for a benchmark problem and a representative example.
American Psychological Association (APA)
Holl, Helmut J.. 2009. A Modal-Based Substructure Method Applied to Nonlinear Rotordynamic Systems. International Journal of Rotating Machinery،Vol. 2009, no. 2009, pp.1-8.
https://search.emarefa.net/detail/BIM-462644
Modern Language Association (MLA)
Holl, Helmut J.. A Modal-Based Substructure Method Applied to Nonlinear Rotordynamic Systems. International Journal of Rotating Machinery No. 2009 (2009), pp.1-8.
https://search.emarefa.net/detail/BIM-462644
American Medical Association (AMA)
Holl, Helmut J.. A Modal-Based Substructure Method Applied to Nonlinear Rotordynamic Systems. International Journal of Rotating Machinery. 2009. Vol. 2009, no. 2009, pp.1-8.
https://search.emarefa.net/detail/BIM-462644
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462644