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Sh Hosseinihashemi - One of the best experts on this subject based on the ideXlab platform.
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application of the generalized hooke s law for viscoelastic materials ghvms in nanoscale mass sensing applications of viscoelastic nanoplates a theoretical study
European Journal of Mechanics A-solids, 2018Co-Authors: K Rajabi, Sh HosseinihashemiAbstract:Abstract Reviewing the literature reveals that in all previous research works related to the Damped Vibration analysis of nanoplates except (Rajabi and Hosseini-Hashemi, 2017a), the material damping of nanoplates has been represented by the Kelvin-Voigt model without any reasonable justification. The Kelvin-Voigt model has no instantaneous elasticity in creep and also shows unrealistic behavior in relaxation. Due to these drawbacks, the Kelvin-Voigt model fails to capture time domain characteristics of viscoelastic solid materials correctly. On the other hand, the Zener model can predict both creep and relaxation functions of a viscoelastic solid material well in the time domain. In the present paper based on the combination of generalized Hooke's law for viscoelastic materials (GHVMs) and the nonlocal elasticity theory, a general 2-D theory of nonlocal viscoelasticity is obtained. A nanoscale mass-sensor is proposed based on the Damped Vibration analysis of a viscoelastic orthotropic Kirchhoff-Love nanoplate. The material damping of the nanoplate is represented by the Zener model for illustration purposes. For simply supported boundary conditions, analytical expression is obtained for the eigenfrequencies of the sensor.
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on the application of viscoelastic orthotropic double nanoplates systems as nanoscale mass sensors via the generalized hooke s law for viscoelastic materials and eringen s nonlocal elasticity theory
Composite Structures, 2017Co-Authors: K Rajabi, Sh HosseinihashemiAbstract:Abstract Reviewing the literature reveals that in all previous research works related to the Damped Vibration analysis of nanoplates, the material damping of nanoplates has been represented by Kelvin-Voigt model without any reasonable justification. The Kelvin-Voigt model has no instantaneous elasticity in creep and also shows unrealistic behavior in relaxation. Due to these drawbacks, the Kelvin-Voigt model fails to capture time domain characteristics of viscoelastic solid materials correctly. On the other hand, the Zener model can predict both creep and relaxation functions of a viscoelastic solid material well in the time domain. The generalized Hooke’s law for viscoelastic materials (GHLVMs) bridges the differential form of linear viscoelasticity and the integral form of linear viscoelasticity. In the present study based on the combination of GHLVMs and the nonlocal elasticity theory, a general 2-D theory of nonlocal viscoelasticity is obtained. A nanoscale mass-sensor is proposed based on the Damped frequency analysis of a viscoelastic orthotropic double-nanoplates system (VODNS). The material damping of the nanoplates is represented by the Zener model. It has been assumed that the nanoplates obey the Kirchhoff-Love plate hypotheses. Detailed parametric study is presented.
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application of the generalized hooke s law for viscoelastic materials ghvms in nonlocal free Damped Vibration analysis of viscoelastic orthotropic nanoplates
International Journal of Mechanical Sciences, 2017Co-Authors: K Rajabi, Sh HosseinihashemiAbstract:Abstract Reviewing the literature reveals that in all previous research works related to the Damped Vibration analysis of nanoplates, the material damping of nanoplates has been represented by Kelvin-Voigt model without any reasonable justification. Recently a refined 3-D theory of linear viscoelasticity termed the generalized Hooke's law for viscoelastic materials (GHVMs), is developed by Rajabi and Hosseini-Hashemi [1] . In that theory new 3-D linear viscoelastic constitutive equations are derived which bridge the differential form of linear viscoelasticity and the integral form of linear viscoelasticity. In the present paper Vibration characteristics of simply supported orthotropic nanoplates are studied using the nonlocal Kirchhoff-Love plate theory in conjunction with GHVMs. Using GHVMs the material damping of the nanoplates is represented by other rheological models namely the Maxwell model and the standard linear solid model for illustration purposes. Results have revealed that for the same physical and geometrical properties and also for the same contents of damping, the characteristic of various rheological models differ considerably from each other. This indicates that for correct and accurate modeling of 2-D and 3-D viscoelasticity problems in nanoscale it is crucial to perform the material characterization experimentally or by MD simulation.
Guan-wei Chen - One of the best experts on this subject based on the ideXlab platform.
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Multiple periodic solutions for Damped Vibration systems with superquadratic terms at infinity
Boundary Value Problems, 2019Co-Authors: Ping Li, Guan-wei ChenAbstract:By using variational methods, we obtain infinitely many nontrivial periodic solutions for a class of Damped Vibration systems with superquadratic terms at infinity. By using some weaker conditions, our results extend and improve some existing results in the literature. Besides, some examples are given to illustrate our results.
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multiple periodic solutions for Damped Vibration systems with general nonlinearities at infinity
Applied Mathematics Letters, 2019Co-Authors: Guan-wei Chen, Martin SchechterAbstract:Abstract Infinitely manyperiodic solutions for a class of Damped Vibration systems are obtained. We differ from previous results as follows. First, the nonlinearities are not restricted at infinity, i.e., they can be subquadratic, asymptotically quadratic and superquadratic at infinity, but the existence results are the same. Secondly, the global conditions ( F ( t , − x ) = F ( t , x ) , ∀ x ∈ R N ) and ( F ( t , x ) ≥ 0 , ∀ x ∈ R N ) assumed previously by others can be replaced by the local conditions ( F ( t , − x ) = F ( t , x ) , | x | ≤ r ) and ( F ( t , x ) ≥ 0 , | x | ≤ r ). Several examples are given to illustrate the main result.
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Damped Vibration problems with sign-changing nonlinearities: infinitely many periodic solutions
Boundary Value Problems, 2017Co-Authors: Zhen Peng, Haiyan Lv, Guan-wei ChenAbstract:We obtain infinitely many nontrivial periodic solutions for a class of Damped Vibration problems, where nonlinearities are superlinear at infinity and primitive functions of nonlinearities are allowed to be sign-changing. By using some weaker conditions, our results extend and improve some existing results in the literature. Besides, some examples are given to illuminate our results.
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Periodic solutions of superquadratic Damped Vibration problems
Applied Mathematics and Computation, 2015Co-Authors: Guan-wei ChenAbstract:In this paper, we study a class of Damped Vibration problems with superquadratic terms at infinity. By using variational methods, we obtain infinitely many nontrivial periodic solutions under conditions weaker than those previously assumed. To the best of our knowledge, there is no published result focusing on this case by the method used in this paper.
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Damped Vibration problems with nonlinearities being sublinear at both zero and infinity
Mathematical Methods in The Applied Sciences, 2015Co-Authors: Guan-wei ChenAbstract:In this paper, we study a class of Damped Vibration problems with nonlinearities being sublinear at both zero and infinity, and we obtain infinitely many nontrivial periodic solutions by using a variant fountain theorem. To the best of our knowledge, there is no published result concerning this case by this method. Copyright © 2015 John Wiley & Sons, Ltd.
K Rajabi - One of the best experts on this subject based on the ideXlab platform.
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application of the generalized hooke s law for viscoelastic materials ghvms in nanoscale mass sensing applications of viscoelastic nanoplates a theoretical study
European Journal of Mechanics A-solids, 2018Co-Authors: K Rajabi, Sh HosseinihashemiAbstract:Abstract Reviewing the literature reveals that in all previous research works related to the Damped Vibration analysis of nanoplates except (Rajabi and Hosseini-Hashemi, 2017a), the material damping of nanoplates has been represented by the Kelvin-Voigt model without any reasonable justification. The Kelvin-Voigt model has no instantaneous elasticity in creep and also shows unrealistic behavior in relaxation. Due to these drawbacks, the Kelvin-Voigt model fails to capture time domain characteristics of viscoelastic solid materials correctly. On the other hand, the Zener model can predict both creep and relaxation functions of a viscoelastic solid material well in the time domain. In the present paper based on the combination of generalized Hooke's law for viscoelastic materials (GHVMs) and the nonlocal elasticity theory, a general 2-D theory of nonlocal viscoelasticity is obtained. A nanoscale mass-sensor is proposed based on the Damped Vibration analysis of a viscoelastic orthotropic Kirchhoff-Love nanoplate. The material damping of the nanoplate is represented by the Zener model for illustration purposes. For simply supported boundary conditions, analytical expression is obtained for the eigenfrequencies of the sensor.
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on the application of viscoelastic orthotropic double nanoplates systems as nanoscale mass sensors via the generalized hooke s law for viscoelastic materials and eringen s nonlocal elasticity theory
Composite Structures, 2017Co-Authors: K Rajabi, Sh HosseinihashemiAbstract:Abstract Reviewing the literature reveals that in all previous research works related to the Damped Vibration analysis of nanoplates, the material damping of nanoplates has been represented by Kelvin-Voigt model without any reasonable justification. The Kelvin-Voigt model has no instantaneous elasticity in creep and also shows unrealistic behavior in relaxation. Due to these drawbacks, the Kelvin-Voigt model fails to capture time domain characteristics of viscoelastic solid materials correctly. On the other hand, the Zener model can predict both creep and relaxation functions of a viscoelastic solid material well in the time domain. The generalized Hooke’s law for viscoelastic materials (GHLVMs) bridges the differential form of linear viscoelasticity and the integral form of linear viscoelasticity. In the present study based on the combination of GHLVMs and the nonlocal elasticity theory, a general 2-D theory of nonlocal viscoelasticity is obtained. A nanoscale mass-sensor is proposed based on the Damped frequency analysis of a viscoelastic orthotropic double-nanoplates system (VODNS). The material damping of the nanoplates is represented by the Zener model. It has been assumed that the nanoplates obey the Kirchhoff-Love plate hypotheses. Detailed parametric study is presented.
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On the application of viscoelastic orthotropic double-nanoplates systems as nanoscale mass-sensors via the generalized Hooke’s law for viscoelastic materials and Eringen’s nonlocal elasticity theory
Composite Structures, 2017Co-Authors: K Rajabi, Sh. Hosseini-hashemiAbstract:Abstract Reviewing the literature reveals that in all previous research works related to the Damped Vibration analysis of nanoplates, the material damping of nanoplates has been represented by Kelvin-Voigt model without any reasonable justification. The Kelvin-Voigt model has no instantaneous elasticity in creep and also shows unrealistic behavior in relaxation. Due to these drawbacks, the Kelvin-Voigt model fails to capture time domain characteristics of viscoelastic solid materials correctly. On the other hand, the Zener model can predict both creep and relaxation functions of a viscoelastic solid material well in the time domain. The generalized Hooke’s law for viscoelastic materials (GHLVMs) bridges the differential form of linear viscoelasticity and the integral form of linear viscoelasticity. In the present study based on the combination of GHLVMs and the nonlocal elasticity theory, a general 2-D theory of nonlocal viscoelasticity is obtained. A nanoscale mass-sensor is proposed based on the Damped frequency analysis of a viscoelastic orthotropic double-nanoplates system (VODNS). The material damping of the nanoplates is represented by the Zener model. It has been assumed that the nanoplates obey the Kirchhoff-Love plate hypotheses. Detailed parametric study is presented.
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application of the generalized hooke s law for viscoelastic materials ghvms in nonlocal free Damped Vibration analysis of viscoelastic orthotropic nanoplates
International Journal of Mechanical Sciences, 2017Co-Authors: K Rajabi, Sh HosseinihashemiAbstract:Abstract Reviewing the literature reveals that in all previous research works related to the Damped Vibration analysis of nanoplates, the material damping of nanoplates has been represented by Kelvin-Voigt model without any reasonable justification. Recently a refined 3-D theory of linear viscoelasticity termed the generalized Hooke's law for viscoelastic materials (GHVMs), is developed by Rajabi and Hosseini-Hashemi [1] . In that theory new 3-D linear viscoelastic constitutive equations are derived which bridge the differential form of linear viscoelasticity and the integral form of linear viscoelasticity. In the present paper Vibration characteristics of simply supported orthotropic nanoplates are studied using the nonlocal Kirchhoff-Love plate theory in conjunction with GHVMs. Using GHVMs the material damping of the nanoplates is represented by other rheological models namely the Maxwell model and the standard linear solid model for illustration purposes. Results have revealed that for the same physical and geometrical properties and also for the same contents of damping, the characteristic of various rheological models differ considerably from each other. This indicates that for correct and accurate modeling of 2-D and 3-D viscoelasticity problems in nanoscale it is crucial to perform the material characterization experimentally or by MD simulation.
Xiaoyi Bao - One of the best experts on this subject based on the ideXlab platform.
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Vibration sensing using a tapered bend-insensitive fiber based Mach-Zehnder interferometer.
Optics express, 2013Co-Authors: Yanping Xu, Farhana Baset, Vedula Ravi Bhardwaj, Zengguang Qin, Jérémie Harris, Ping Lu, Xiaoyi BaoAbstract:In this study, a novel fiber-optic sensor consisting of a tapered bend-insensitive fiber based Mach-Zehnder interferometer is presented to realize Damped and continuous Vibration measurement. The double cladding structure and the central coating region of the in-fiber interferometer ensure an enhanced mechanical strength, reduced external disturbance, and a more uniform spectrum. A Damped Vibration frequency range of 29-60 Hz as well as continuous Vibration disturbances ranging from 1 Hz up to 500 kHz are successfully demonstrated.
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Continuous and Damped Vibration detection based on fiber diversity detection sensor by Rayleigh backscattering
Journal of Lightwave Technology, 2008Co-Authors: Ziyi Zhang, Xiaoyi BaoAbstract:An optical fiber Vibration sensor based on a polarization\ndiversity scheme has been developed to study structural Vibration properties\nunder external disturbance. The polarization diversity scheme has improved\nsignal-to-noise ratio (SNR) by over 13 dB with capability of detection frequency\nof sub-hertz to tens of kilohertz. The minimum dynamic strain we have detected\nis 3 nε, and\nthe SNR of the sensor is > 37\ndB without any averaging. For the first time, Rayleigh backscattering has\nbeen utilized to detect continuous and Damped Vibration generated by a piezo\nfiber stretcher and vibrating cantilever with a frequency range of sub-hertz\nto 16 kHz. We also use this sensor and polarization analyzer to characterize\nthe polarization state change and phase shift of the piezo fiber stretcher\nin transmission and Rayleigh backscattering up to kilohertz frequency, both\nresults agrees quantitatively.
Ziyi Zhang - One of the best experts on this subject based on the ideXlab platform.
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Continuous and Damped Vibration detection based on fiber diversity detection sensor by Rayleigh backscattering
Journal of Lightwave Technology, 2008Co-Authors: Ziyi Zhang, Xiaoyi BaoAbstract:An optical fiber Vibration sensor based on a polarization\ndiversity scheme has been developed to study structural Vibration properties\nunder external disturbance. The polarization diversity scheme has improved\nsignal-to-noise ratio (SNR) by over 13 dB with capability of detection frequency\nof sub-hertz to tens of kilohertz. The minimum dynamic strain we have detected\nis 3 nε, and\nthe SNR of the sensor is > 37\ndB without any averaging. For the first time, Rayleigh backscattering has\nbeen utilized to detect continuous and Damped Vibration generated by a piezo\nfiber stretcher and vibrating cantilever with a frequency range of sub-hertz\nto 16 kHz. We also use this sensor and polarization analyzer to characterize\nthe polarization state change and phase shift of the piezo fiber stretcher\nin transmission and Rayleigh backscattering up to kilohertz frequency, both\nresults agrees quantitatively.
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Continuous and Damped Vibration Detection Based on Fiber Diversity Detection Sensor by Rayleigh Backscattering
Journal of Lightwave Technology, 2008Co-Authors: Ziyi ZhangAbstract:An optical fiber Vibration sensor based on a polarization diversity scheme has been developed to study structural Vibration properties under external disturbance. The polarization diversity scheme has improved signal-to-noise ratio (SNR) by over 13 dB with capability of detection frequency of sub-hertz to tens of kilo- hertz. The minimum dynamic strain we have detected is 3 nepsiv, and the SNR of the sensor is >37 dB without any averaging. For the first time, Rayleigh backscattering has been utilized to detect continuous and Damped Vibration generated by a piezo fiber stretcher and vibrating cantilever with a frequency range of sub-hertz to 16 kHz. We also use this sensor and polarization analyzer to characterize the polarization state change and phase shift of the piezo fiber stretcher in transmission and Rayleigh backscattering up to kilohertz frequency, both results agrees quantitatively.
