Nonlinear Resonance Analysis of Slender Portal Frames under Base Excitation
Joint Authors
Gonçalves, Paulo Batista
Paullo Muñoz, Luis Fernando
Silveira, Ricardo A. M.
Silva, Andréa
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-03-30
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The dynamic nonlinear response and stability of slender structures in the main resonance regions are a topic of importance in structural analysis.
In complex problems, the determination of the response in the frequency domain indirectly obtained through analyses in time domain can lead to huge computational effort in large systems.
In nonlinear cases, the response in the frequency domain becomes even more cumbersome because of the possibility of multiple solutions for certain forcing frequencies.
Those solutions can be stable and unstable, in particular saddle-node bifurcation at the turning points along the resonance curves.
In this work, an incremental technique for direct calculation of the nonlinear response in frequency domain of plane frames subjected to base excitation is proposed.
The transformation of equations of motion to the frequency domain is made through the harmonic balance method in conjunction with the Galerkin method.
The resulting system of nonlinear equations in terms of the modal amplitudes and forcing frequency is solved by the Newton-Raphson method together with an arc-length procedure to obtain the nonlinear resonance curves.
Suitable examples are presented, and the influence of the frame geometric parameters and base motion on the nonlinear resonance curves is investigated.
American Psychological Association (APA)
Paullo Muñoz, Luis Fernando& Gonçalves, Paulo Batista& Silveira, Ricardo A. M.& Silva, Andréa. 2017. Nonlinear Resonance Analysis of Slender Portal Frames under Base Excitation. Shock and Vibration،Vol. 2017, no. 2017, pp.1-21.
https://search.emarefa.net/detail/BIM-1204626
Modern Language Association (MLA)
Paullo Muñoz, Luis Fernando…[et al.]. Nonlinear Resonance Analysis of Slender Portal Frames under Base Excitation. Shock and Vibration No. 2017 (2017), pp.1-21.
https://search.emarefa.net/detail/BIM-1204626
American Medical Association (AMA)
Paullo Muñoz, Luis Fernando& Gonçalves, Paulo Batista& Silveira, Ricardo A. M.& Silva, Andréa. Nonlinear Resonance Analysis of Slender Portal Frames under Base Excitation. Shock and Vibration. 2017. Vol. 2017, no. 2017, pp.1-21.
https://search.emarefa.net/detail/BIM-1204626
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1204626