1. Forced vibration analysis of composite beams based on the variable separation method
- Author
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Olivier Polit, Laurent Gallimard, Philippe Vidal, Enrique García-Macías, Rafael Castro-Triguero, María Infantes, Laboratoire Energétique Mécanique Electromagnétisme (LEME), and Université Paris Nanterre (UPN)
- Subjects
PGD Thermal shrinkage ,General Mathematics ,02 engineering and technology ,Variable separation ,Composite beams ,[SPI]Engineering Sciences [physics] ,Finite element ,0203 mechanical engineering ,forced vibration ,composite beam ,Vibration Problem ,General Materials Science ,Civil and Structural Engineering ,Variable (mathematics) ,Physics ,business.industry ,Mechanical Engineering ,Structural engineering ,[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] ,021001 nanoscience & nanotechnology ,Finite element method ,Vibration ,020303 mechanical engineering & transports ,Mechanics of Materials ,Separation method ,0210 nano-technology ,business ,Proper generalized decomposition - Abstract
International audience; This paper proposes a new strategy based on the proper generalized decomposition method to solve the forced vibration problem in two-dimensional (2D) layered beams. The approach redefines the problem by approximating the displacement field as a sum of separated functions of x, z, and ω and proposes an iterative algorithm that solves three 1D problems at each iteration. Several numerical tests with different slenderness ratios and boundary conditions are considered to validate the method. The results in terms of modal parameters and frequency response functions are analyzed and compared with exact elasticity solution and finite element simulations with very good agreements.
- Published
- 2019
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