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Vibration band gap properties of a periodic beam-like structure using the combination of GDQ and GDQR methods
, Article Waves in Random and Complex Media ; 2019 ; 17455030 (ISSN) ; Mahdian Parrany, A ; Sharif University of Technology
Taylor and Francis Ltd
2019
Abstract
In this study, a periodic beam-like structure consisting of the horizontal and inclined beam elements is proposed. Three models with three different angles of inclination are considered. The generalized differential quadrature (GDQ) and generalized differential quadrature rule (GDQR) methods are used to solve the differential equations of longitudinal and transverse vibrations, respectively. The effects of two geometrical parameters on the first three band gaps of each model are investigated, comprehensively. Results show that this periodic structure has wide band gaps at low frequency ranges. Furthermore, the band gaps can get close to each other by changing the geometrical parameters....
Vibration band gap properties of a periodic beam-like structure using the combination of GDQ and GDQR methods
, Article Waves in Random and Complex Media ; 2019 ; 17455030 (ISSN) ; Mahdian Parrany, A ; Sharif University of Technology
Taylor and Francis Ltd
2019
Abstract
In this study, a periodic beam-like structure consisting of the horizontal and inclined beam elements is proposed. Three models with three different angles of inclination are considered. The generalized differential quadrature (GDQ) and generalized differential quadrature rule (GDQR) methods are used to solve the differential equations of longitudinal and transverse vibrations, respectively. The effects of two geometrical parameters on the first three band gaps of each model are investigated, comprehensively. Results show that this periodic structure has wide band gaps at low frequency ranges. Furthermore, the band gaps can get close to each other by changing the geometrical parameters....
Analysis of elastic wave propagation in nonlinear beams
, Article Proceedings of the ASME Design Engineering Technical Conference ; Volume 1, Issue PARTS A AND B , 2011 , Pages 207-212 ; 9780791854785 (ISBN) ; Hussein, M. I ; Des. Eng. Div. Comput. Inf. Eng. Div ; Sharif University of Technology
Abstract
We derive the exact dispersion relations for flexural elastic wave motion in a beam under finite deformation. We employ the Euler-Bernoulli kinematic hypothesis. Focusing on homogeneous waveguides with constant cross-section, we utilize the exact strain tensor and retain all high order terms. The results allow us to quantify the deviation in the dispersion curves when exact large deformation is considered compared to the small strain assumption. We show that incorporation of finite deformation shifts the frequency dispersion curves downwards. Furthermore, the group velocity increases with wavenumber but this trend reverses at high wavenumbers when the wave amplitude is sufficiently high. At...
Vibration band gap properties of a periodic beam-like structure using the combination of GDQ and GDQR methods
, Article Waves in Random and Complex Media ; Volume 31, Issue 5 , 2021 , Pages 795-811 ; 17455030 (ISSN) ; Mahdian Parrany, A ; Sharif University of Technology
Taylor and Francis Ltd
2021
Abstract
In this study, a periodic beam-like structure consisting of the horizontal and inclined beam elements is proposed. Three models with three different angles of inclination are considered. The generalized differential quadrature (GDQ) and generalized differential quadrature rule (GDQR) methods are used to solve the differential equations of longitudinal and transverse vibrations, respectively. The effects of two geometrical parameters on the first three band gaps of each model are investigated, comprehensively. Results show that this periodic structure has wide band gaps at low frequency ranges. Furthermore, the band gaps can get close to each other by changing the geometrical parameters....