Abstract:A local collocation method based on finite difference generated radial basis functions considering supplementary polynomials is used to solve the governing equations of cantilever piezoelectric smart beams. The natural modes of vibration of a bimorph and a three-layered smart beam with an interior aluminium core are analysed for both open-circuit and closed-circuit electrical boundary conditions. Very accurate results are obtained at a low computational cost. Subsequently, a constant gain velocity feedback act… Show more
“…The modal analysis impact hammer is impacted in all the nine nodal points on the sandwich beams, and average values of natural frequencies and damping ratios are observed. [17][18][19][20][30][31][32][33][34][35][36][37][38][39][40][41] Experimental forced vibration analysis sweep is performed for four iterations and averaged values are obtained. Using the function generator, the required electrodynamic shaker excitation information is sent to the amplifier.…”
Section: Fabrication and Dynamic Characterization Of Cgrp-pmc-mrf Cormentioning
confidence: 99%
“…The modal analysis impact hammer is impacted in all the nine nodal points on the sandwich beams, and average values of natural frequencies and damping ratios are observed. 17–20,30–41 Figure 5.Experimental free vibration analysis setup, (a) schematic view and (b) photographic view.…”
Section: Fabrication and Dynamic Characterization Of Cgrp-pmc-mrf Cormentioning
confidence: 99%
“…Also, the natural frequency and damping ratio of the MRF core sandwich beams increased with an increase in the applied magnetic flux density. [8][9][10][11][12][13][14][15][16][17][18][19][20] From the literature, it is observed that many researches have been done on aluminum sandwich beam with MRF core. The studies on the CGRP-PMC-MRF core sandwich beam are yet to be explored.…”
The semi-active vibration control of sandwich beams made of chopped strand mat glass fiber reinforced polyester resin polymer matrix composite (PMC) and magnetorheological fluid (MRF) core were experimentally investigated in this study. Two-, four- and six-layered glass fiber reinforced polyester resin polymer matrix composites were prepared using the hand-layup technique. The magnetorheological fluid was prepared in-house with 30% volume of carbonyl iron powder and 70% volume of silicone oil. Nine cantilever sandwich beams of varying thicknesses of the top and bottom layers glass fiber reinforced polyester resin polymer matrix composite beams and middle magnetorheological fluid core were prepared. The magnetorheological fluid core was activated with a non-homogeneous magnetic field using permanent magnets. The first three modes, natural frequencies and damping ratios of the glass fiber reinforced polyester resin polymer matrix composite-magnetorheological fluid core sandwich beams were determined through free vibration analysis using DEWESoft modal analysis software. The amplitude frequency response of the glass fiber reinforced polyester resin polymer matrix composite-magnetorheological fluid core sandwich beams through forced vibration analysis was determined using LabVIEW. The effect of various parameters such as magnetic flux density, thickness of glass fiber reinforced polyester resin polymer matrix composite layers and magnetorheological fluid core layer on the natural frequencies, damping ratio and vibration amplitude suppressions of the glass fiber reinforced polyester resin polymer matrix composite-magnetorheological fluid core sandwich beams was investigated. Based on the results obtained, 2 mm thickness top and bottom layers glass fiber reinforced polyester resin polymer matrix composite and 5 mm thickness magnetorheological fluid core sample have achieved a high shift in increased natural frequency, damping ratio and vibration amplitude suppression under the influence of magnetic flux density.
“…The modal analysis impact hammer is impacted in all the nine nodal points on the sandwich beams, and average values of natural frequencies and damping ratios are observed. [17][18][19][20][30][31][32][33][34][35][36][37][38][39][40][41] Experimental forced vibration analysis sweep is performed for four iterations and averaged values are obtained. Using the function generator, the required electrodynamic shaker excitation information is sent to the amplifier.…”
Section: Fabrication and Dynamic Characterization Of Cgrp-pmc-mrf Cormentioning
confidence: 99%
“…The modal analysis impact hammer is impacted in all the nine nodal points on the sandwich beams, and average values of natural frequencies and damping ratios are observed. 17–20,30–41 Figure 5.Experimental free vibration analysis setup, (a) schematic view and (b) photographic view.…”
Section: Fabrication and Dynamic Characterization Of Cgrp-pmc-mrf Cormentioning
confidence: 99%
“…Also, the natural frequency and damping ratio of the MRF core sandwich beams increased with an increase in the applied magnetic flux density. [8][9][10][11][12][13][14][15][16][17][18][19][20] From the literature, it is observed that many researches have been done on aluminum sandwich beam with MRF core. The studies on the CGRP-PMC-MRF core sandwich beam are yet to be explored.…”
The semi-active vibration control of sandwich beams made of chopped strand mat glass fiber reinforced polyester resin polymer matrix composite (PMC) and magnetorheological fluid (MRF) core were experimentally investigated in this study. Two-, four- and six-layered glass fiber reinforced polyester resin polymer matrix composites were prepared using the hand-layup technique. The magnetorheological fluid was prepared in-house with 30% volume of carbonyl iron powder and 70% volume of silicone oil. Nine cantilever sandwich beams of varying thicknesses of the top and bottom layers glass fiber reinforced polyester resin polymer matrix composite beams and middle magnetorheological fluid core were prepared. The magnetorheological fluid core was activated with a non-homogeneous magnetic field using permanent magnets. The first three modes, natural frequencies and damping ratios of the glass fiber reinforced polyester resin polymer matrix composite-magnetorheological fluid core sandwich beams were determined through free vibration analysis using DEWESoft modal analysis software. The amplitude frequency response of the glass fiber reinforced polyester resin polymer matrix composite-magnetorheological fluid core sandwich beams through forced vibration analysis was determined using LabVIEW. The effect of various parameters such as magnetic flux density, thickness of glass fiber reinforced polyester resin polymer matrix composite layers and magnetorheological fluid core layer on the natural frequencies, damping ratio and vibration amplitude suppressions of the glass fiber reinforced polyester resin polymer matrix composite-magnetorheological fluid core sandwich beams was investigated. Based on the results obtained, 2 mm thickness top and bottom layers glass fiber reinforced polyester resin polymer matrix composite and 5 mm thickness magnetorheological fluid core sample have achieved a high shift in increased natural frequency, damping ratio and vibration amplitude suppression under the influence of magnetic flux density.
“…Rathi and Khan (2017) studied the vibration control performance of a three-layer smart cantilever beam using a discrete sliding mode control method with multiple-rate output feedback. Chuaqui et al (2018) implemented a velocity feedback control strategy for the vibration control of piezoelectric smart beams. Based on the LQR method, Rahmani (2018) applied a fuzzy sliding mode controller to control the vibration of a rotating CNTRC beam under a temperature increase.…”
The general vibration control strategy of beam structures is a global vibration control method based on the principle of modal superposition. However, the vibration wave control of beams can achieve local control of the vibration energy. This paper presents a wave control method for the local vibration control of fractional viscoelastic composite beams based on the operating principle of a piezoelectric sheet. To obtain better control performance, a particle swarm optimization algorithm was adopted to optimize the parameters of the piezoelectric sheet. A linear quadratic regulator control algorithm was designed to verify the validity of the proposed method. In addition, the effects of the piezoelectric sheet number and fractional order on the amplitude response and optimization parameters were investigated. We observed that the proposed method has a good control effect on the local area vibration, and it can control the flow direction of the vibration power. The proposed method can be used to directly design the voltage and phase of a piezoelectric sheet without real-time feedback computation. This method is suitable for reducing local vibration under single repetitive operating conditions in engineering and can provide a theoretical basis for a follow-up study on the acoustic black hole phenomenon.
“…They used the Euler-Bernoulli beam theory and nonlocal elasticity theory to solve the problem. Chuaqui et al (2018) employed a local collocation method based on finite difference generated radial basis functions considering supplementary polynomials to solve vibration problem of cantilever piezoelectric smart beams. The natural frequencies of a bimorph and a three-layered smart beam with an interior aluminum core for both open-circuit and closedcircuit electrical boundary conditions were obtained.…”
Vibration suppression of a carbon nanotube–reinforced sandwich beam with magnetorheological fluid core is numerically investigated by employing the differential quadrature method. The beam has functionally graded carbon nanotube–reinforced composite base and constraining layers while its core layer is made of magnetorheological fluid. Four different types of distribution of carbon nanotubes along the thickness direction are considered. The extended rule of mixture is used to explain the effective material properties of the base and constraining layers of the beam. The equations of motion and corresponding boundary conditions are derived by applying Hamilton’s principle, and then these coupled differential equations are transformed into a set of algebraic equation applying the differential quadrature method. Natural frequencies and loss factors are extracted and compared with those available in literature. Convergence study has been performed to verify stability of the method. Effects of various parameters such as magnetic field intensity, mode number, and thickness of the magnetorheological fluid core layer on the natural frequencies and loss factors are studied.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
