New decay rates for Cauchy problem of Timoshenko thermoelastic systems with past history: Cattaneo and Fourier law
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DOI: 10.1002/mma.6579
Abstract: In this paper, we investigate the decay properties of the thermoelastic Timoshenko system with past history in the whole space where the thermal effects are given by Cattaneo and Fourier laws. We obtain that both… read more here.
Keywords: past history; timoshenko; new decay; cattaneo fourier ... See more keywords
Free transverse vibration analysis of size dependent Timoshenko FG cracked nanobeams resting on elastic medium
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DOI: 10.1007/s00542-016-2983-3
Abstract: In the present study, free transverse vibration of a cracked functionally graded (FG) size dependent Timoshenko nanobeam which is resting on polymer elastic foundation is investigated. It is supposed that the material properties of the… read more here.
Keywords: size dependent; timoshenko; transverse vibration; free transverse ... See more keywords
Analytical solutions for buckling of size-dependent Timoshenko beams
Sign Up to like & getrecommendations! Published in 2019 at "Applied Mathematics and Mechanics"
DOI: 10.1007/s10483-019-2494-8
Abstract: The inconsistences of the higher-order shear resultant expressed in terms of displacement(s) and the complete boundary value problems of structures modeled by the nonlocal strain gradient theory have not been well addressed. This paper develops… read more here.
Keywords: timoshenko beams; size dependent; timoshenko; dependent timoshenko ... See more keywords
Energy harvesting from vibration of Timoshenko nanobeam under base excitation considering flexoelectric and elastic strain gradient effects
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DOI: 10.1016/j.jsv.2018.01.059
Abstract: Abstract The coupling between polarization and strain gradients is called flexoelectricity. This phenomenon exists in all dielectrics with any symmetry. In this paper, energy harvesting from a Timoshenko beam is studied by considering the flexoelectric… read more here.
Keywords: strain gradient; energy; timoshenko; energy harvesting ... See more keywords
Properties of global and exponential attractors for nonlinear thermo-diffusion Timoshenko system
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DOI: 10.1063/1.5066224
Abstract: In this paper, we consider a new Timoshenko beam model with thermal and mass diffusion effects according to the Gurtin-Pinkin model. Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam, depending on… read more here.
Keywords: system; diffusion; timoshenko; global exponential ... See more keywords
Transverse vibration of nematic elastomer Timoshenko beams.
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DOI: 10.1103/physreve.95.012703
Abstract: Being a rubber-like liquid crystalline elastomer, a nematic elastomer (NE) is anisotropic viscoelastic, and displays dynamic soft elasticity. In this paper, the transverse vibration of a NE Timoshenko beam is studied based on the linear… read more here.
Keywords: nematic elastomer; vibration; timoshenko; transverse vibration ... See more keywords
Rapid Stabilization of Timoshenko Beam by PDE Backstepping
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2023.3276748
Abstract: In this paper, we present a rapid boundary stabilization of a Timoshenko beam with anti-damping and anti-stiffness at the uncontrolled boundary, by using PDE backstepping. We introduce a transformation to map the Timoshenko beam states… read more here.
Keywords: timoshenko beam; stabilization timoshenko; timoshenko; pde backstepping ... See more keywords