1. Dynamic response of circular and annular circular plates using spectral element method
- Author
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Saeed Bahrami and Fatemeh Shirmohammadi
- Subjects
Engineering ,business.industry ,Applied Mathematics ,Numerical analysis ,Spectral element method ,02 engineering and technology ,Radius ,Structural engineering ,Mechanics ,021001 nanoscience & nanotechnology ,Vibration ,Matrix (mathematics) ,020303 mechanical engineering & transports ,0203 mechanical engineering ,Modeling and Simulation ,Frequency domain ,Development (differential geometry) ,0210 nano-technology ,business - Abstract
This paper presents development of the spectral element method (SEM) for analysis of circular and annular circular plates vibration under impact load. A novel formulation is proposed in frequency domain for conducting spectral element matrix. Several numerical examples are presented in order to demonstrate performance of the presented method compared to other numerical methods in literature. The presented formulation was applied in order to analyze vibration of annular circular plates with various thicknesses and various internal-to-external radius ratios. In addition, annular circular plate displacements subjected to an impact load were calculated using the presented SEM.
- Published
- 2018
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