Nonlinear Vibration

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Luca Gammaitoni - One of the best experts on this subject based on the ideXlab platform.

  • Nonlinear Vibration energy harvesting at work: An application for the automotive sector
    2013 IEEE International Symposium on Circuits and Systems (ISCAS), 2013
    Co-Authors: Francesco Orfei, H. Vocca, Igor Neri, Luca Gammaitoni
    Abstract:

    An extreme low power energy conversion, storage and management circuitry has been developed and used to power a small digital wireless sensor with a piezoelectric Nonlinear Vibration energy harvester for automotive application. All the system has been designed with off-the-shelf components.

  • Nonlinear Vibration energy harvesting at work: An application for the automotive sector
    2013 IEEE International Symposium on Circuits and Systems (ISCAS2013), 2013
    Co-Authors: Francesco Orfei, H. Vocca, Igor Neri, Luca Gammaitoni
    Abstract:

    An extreme low power energy conversion, storage and management circuitry has been developed and used to power a small digital wireless sensor with a piezoelectric Nonlinear Vibration energy harvester for automotive application. All the system has been designed with off-the-shelf components. Nonlinear Vibration energy harvesting at work: an application for the automotive sector - ResearchGate. Available from: http://www.researchgate.net/publication/236902950_Nonlinear_Vibration_energy_harvesting_at_work_an_application_for_the_automotive_sector [accessed May 4, 2015].

Sritawat Kitipornchai - One of the best experts on this subject based on the ideXlab platform.

  • Nonlinear Vibration of piezoelectric nanoplates using nonlocal mindlin plate theory
    Mechanics of Advanced Materials and Structures, 2018
    Co-Authors: Liao-liang Ke, Sritawat Kitipornchai, Jie Yang, Yue-sheng Wang
    Abstract:

    This article investigates the Nonlinear Vibration of piezoelectric nanoplate with combined thermo-electric loads under various boundary conditions. The piezoelectric nanoplate model is developed by using the Mindlin plate theory and nonlocal theory. The von Karman type Nonlinearity and nonlocal constitutive relationships are employed to derive governing equations through Hamilton's principle. The differential quadrature method is used to discretize the governing equations, which are then solved through a direct iterative method. A detailed parametric study is conducted to examine the effects of the nonlocal parameter, external electric voltage, and temperature rise on the Nonlinear Vibration characteristics of piezoelectric nanoplates.

  • Nonlinear Vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams
    Composites Science and Technology, 2017
    Co-Authors: Da Chen, Jie Yang, Sritawat Kitipornchai
    Abstract:

    The Nonlinear free Vibration and postbuckling behaviors of multilayer functionally graded (FG) porous nanocomposite beams that are made of metal foams reinforced by graphene platelets (GPLs) are investigated in this paper. The internal pores and GPL nanofillers are uniformly dispersed within each layer but both porosity coefficient and GPL weight fraction change from layer to layer, resulting in position-dependent elastic moduli, mass density and Poisson's ratio along the beam thickness. The mechanical property of closed-cell cellular solids is employed to obtain the relationship between coefficients of porosity and mass density. The effective material properties of the nanocomposite are determined based on the Halpin-Tsai micromechanics model for Young's modulus and the rule of mixture for mass density and Poisson's ratio. Timoshenko beam theory and von Karman type Nonlinearity are used to establish the differential governing equations that are solved by Ritz method and a direct iterative algorithm to obtain the Nonlinear Vibration frequencies and postbuckling equilibrium paths of the beams with different end supports. Special attention is given to the effects of varying porosity coefficients and GPL's weight fraction, dispersion pattern, geometry and size on the Nonlinear behavior of the porous nanocomposite beam. It is found that the addition of a small amount of GPLs can remarkably reinforce the stiffness of the beam, and its Nonlinear Vibration and postbuckling performance is significantly influenced by the distribution patterns of both internal pores and GPL nanofillers.

  • Nonlinear Vibration of functionally graded carbon nanotube reinforced composite beams with geometric imperfections
    Composites Part B-engineering, 2016
    Co-Authors: Helong Wu, Jie Yang, Sritawat Kitipornchai
    Abstract:

    The Nonlinear Vibration of imperfect shear deformable functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beams is studied in this paper based on the first-order shear deformation beam theory and von Karman geometric Nonlinearity. A one-dimensional imperfection model in the form of the product of trigonometric and hyperbolic functions are used to describe the various possible geometric imperfections such as sine type, global, and localized imperfections. The governing equations are derived by employing the Ritz method and then solved by an iteration procedure. Special attention is given to the influences of imperfection mode, location, and amplitude on the Nonlinear behaviour. The linear Vibration is also discussed as a subset problem. Numerical results in tabular and graphical forms show that the Nonlinear Vibration behaviour of imperfect FG-CNTRC beams is considerably sensitive to sine type and global imperfections (except for G2-mode), whereas the effect of localized imperfection is much less pronounced. It is also observed that whether the FG-CNTRC beam exhibits the “hard-spring” or “soft-spring” Vibration behaviour is largely dependent on the initial imperfection mode, its amplitude as well as the Vibration amplitude.

  • an analytical study on the Nonlinear Vibration of functionally graded beams
    Meccanica, 2010
    Co-Authors: Jie Yang, Liao-liang Ke, Sritawat Kitipornchai
    Abstract:

    Nonlinear Vibration of beams made of functionally graded materials (FGMs) is studied in this paper based on Euler-Bernoulli beam theory and von Karman geometric Nonlinearity. It is assumed that material properties follow either exponential or power law distributions through thickness direction. Galerkin procedure is used to obtain a second order Nonlinear ordinary equation with quadratic and cubic Nonlinear terms. The direct numerical integration method and Runge-Kutta method are employed to find the Nonlinear Vibration response of FGM beams with different end supports. The effects of material property distribution and end supports on the Nonlinear dynamic behavior of FGM beams are discussed. It is found that unlike homogeneous beams, FGM beams show different Vibration behavior at positive and negative amplitudes due to the presence of quadratic Nonlinear term arising from bending-stretching coupling effect.

  • Nonlinear Vibration of edge cracked functionally graded timoshenko beams
    Journal of Sound and Vibration, 2009
    Co-Authors: Sritawat Kitipornchai, Liao-liang Ke, Jie Yang, Yang Xiang
    Abstract:

    Nonlinear Vibration of beams made of functionally graded materials (FGMs) containing an open edge crack is studied in this paper based on Timoshenko beam theory and von Karman geometric Nonlinearity. The cracked section is modeled by a massless elastic rotational spring. It is assumed that material properties follow exponential distributions through beam thickness. The Ritz method is employed to derive the governing eigenvalue equation which is then solved by a direct iterative method to obtain the Nonlinear Vibration frequencies of cracked FGM beams with different end supports. A detailed parametric study is conducted to study the influences of crack depth, crack location, material property gradient, slenderness ratio, and end supports on the Nonlinear free Vibration characteristics of cracked FGM beams. It is found that unlike isotropic homogeneous beams, both intact and cracked FGM beams show different Vibration behavior at positive and negative amplitudes due to the presence of bending-extension coupling in FGM beams.

Francesco Orfei - One of the best experts on this subject based on the ideXlab platform.

  • Circuitry for Nonlinear Vibration energy harvesting
    2014 21st IEEE International Conference on Electronics Circuits and Systems (ICECS), 2014
    Co-Authors: Francesco Orfei
    Abstract:

    Nonlinear Vibration energy harvesting is becoming a technology more and more important. Generally Vibrations are spread over hundreds or thousands of hertz, making impractical the use of tuned systems. Real world Vibrations are even not constant in amplitude, and this makes hard to design a high efficiency electrical energy rectifier and regulator due to the non constant RMS value of the input energy. In this paper is described the solution adopted for a wireless sensor for the automotive market, powered by a Nonlinear bi-stable Vibration energy harvester.

  • Nonlinear Vibration energy harvesting at work: An application for the automotive sector
    2013 IEEE International Symposium on Circuits and Systems (ISCAS), 2013
    Co-Authors: Francesco Orfei, H. Vocca, Igor Neri, Luca Gammaitoni
    Abstract:

    An extreme low power energy conversion, storage and management circuitry has been developed and used to power a small digital wireless sensor with a piezoelectric Nonlinear Vibration energy harvester for automotive application. All the system has been designed with off-the-shelf components.

  • Nonlinear Vibration energy harvesting at work: An application for the automotive sector
    2013 IEEE International Symposium on Circuits and Systems (ISCAS2013), 2013
    Co-Authors: Francesco Orfei, H. Vocca, Igor Neri, Luca Gammaitoni
    Abstract:

    An extreme low power energy conversion, storage and management circuitry has been developed and used to power a small digital wireless sensor with a piezoelectric Nonlinear Vibration energy harvester for automotive application. All the system has been designed with off-the-shelf components. Nonlinear Vibration energy harvesting at work: an application for the automotive sector - ResearchGate. Available from: http://www.researchgate.net/publication/236902950_Nonlinear_Vibration_energy_harvesting_at_work_an_application_for_the_automotive_sector [accessed May 4, 2015].

Hui-shen Shen - One of the best experts on this subject based on the ideXlab platform.

  • Nonlinear Vibration of functionally graded graphene reinforced composite laminated cylindrical shells in thermal environments
    Composite Structures, 2017
    Co-Authors: Hui-shen Shen, Yang Xiang
    Abstract:

    Abstract This paper presents an investigation on the Nonlinear Vibration behavior of graphene-reinforced composite (GRC) laminated cylindrical shells in thermal environments. The material properties of the GRCs are temperature-dependent and the functionally graded (FG) materials concept is adopted which allows a piece-wise variation of the volume fraction of graphene reinforcement in the thickness direction of the shell. An extended Halpin-Tsaia micromechanical model is employed to estimate the GRC material properties. The motion equations for the Nonlinear Vibration of FG-GRC laminated cylindrical shells are based on the Reddy’s third order shear deformation theory and the von Karman-type kinematic Nonlinearity, and the effects of thermal conditions are included. The Nonlinear Vibration solutions for the FG-GRC laminated cylindrical shells can be obtained by applying a two-step perturbation technique. The results reveal that the Nonlinear Vibration characteristics of the shells are significantly influenced by the GRC material property gradient, the stacking sequence of the plies, the temperature variation, the shell geometric parameter and the shell end conditions.

  • nonlocal plate model for Nonlinear Vibration of single layer graphene sheets in thermal environments
    Computational Materials Science, 2010
    Co-Authors: Le Shen, Hui-shen Shen, Chenli Zhang
    Abstract:

    Abstract Nonlinear Vibration behavior is presented for a simply supported, rectangular, single layer graphene sheet in thermal environments. The single layer graphene sheet is modeled as a nonlocal orthotropic plate which contains small scale effects. The Nonlinear Vibration analysis is based on thin plate theory with a von Karman-type of kinematic Nonlinearity. The thermal effects are also included and the material properties are assumed to be temperature-dependent and are obtained from molecular dynamics simulations. The small scale parameter e 0 a is estimated by matching the natural frequencies of graphene sheets observed from the MD simulation results with the numerical results obtained from the nonlocal plate model. The results show that with properly selected small scale parameters and material properties, the nonlocal plate model can provide a remarkably accurate prediction of the graphene sheet behavior under Nonlinear Vibration in thermal environments.

  • Nonlinear Vibration and dynamic response of functionally graded plates in thermal environments
    International Journal of Solids and Structures, 2004
    Co-Authors: Xiao-lin Huang, Hui-shen Shen
    Abstract:

    This paper deals with the Nonlinear Vibration and dynamic response of functionally graded material plates in thermal environments. Heat conduction and temperature-dependent material properties are both taken into account. The temperature field considered is assumed to be a uniform distribution over the plate surface and varied in the thickness direction only. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The formulations are based on the higher-order shear deformation plate theory and general von Kármán-type equation, which includes thermal effects. All four edges of the plates are assumed to be simply supported with no in-plane displacements. The equations of motion are solved by an improved perturbation technique to determine Nonlinear frequencies and dynamic responses of functionally graded plates. The numerical illustrations concern Nonlinear Vibration characteristics of functional graded plates with two constituent materials in thermal environments. The results reveal that the temperature field and volume fraction distribution have significant effect on the Nonlinear Vibration and dynamic response of the functionally graded plate.

Jie Yang - One of the best experts on this subject based on the ideXlab platform.

  • Nonlinear Vibration of piezoelectric nanoplates using nonlocal mindlin plate theory
    Mechanics of Advanced Materials and Structures, 2018
    Co-Authors: Liao-liang Ke, Sritawat Kitipornchai, Jie Yang, Yue-sheng Wang
    Abstract:

    This article investigates the Nonlinear Vibration of piezoelectric nanoplate with combined thermo-electric loads under various boundary conditions. The piezoelectric nanoplate model is developed by using the Mindlin plate theory and nonlocal theory. The von Karman type Nonlinearity and nonlocal constitutive relationships are employed to derive governing equations through Hamilton's principle. The differential quadrature method is used to discretize the governing equations, which are then solved through a direct iterative method. A detailed parametric study is conducted to examine the effects of the nonlocal parameter, external electric voltage, and temperature rise on the Nonlinear Vibration characteristics of piezoelectric nanoplates.

  • Nonlinear Vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams
    Composites Science and Technology, 2017
    Co-Authors: Da Chen, Jie Yang, Sritawat Kitipornchai
    Abstract:

    The Nonlinear free Vibration and postbuckling behaviors of multilayer functionally graded (FG) porous nanocomposite beams that are made of metal foams reinforced by graphene platelets (GPLs) are investigated in this paper. The internal pores and GPL nanofillers are uniformly dispersed within each layer but both porosity coefficient and GPL weight fraction change from layer to layer, resulting in position-dependent elastic moduli, mass density and Poisson's ratio along the beam thickness. The mechanical property of closed-cell cellular solids is employed to obtain the relationship between coefficients of porosity and mass density. The effective material properties of the nanocomposite are determined based on the Halpin-Tsai micromechanics model for Young's modulus and the rule of mixture for mass density and Poisson's ratio. Timoshenko beam theory and von Karman type Nonlinearity are used to establish the differential governing equations that are solved by Ritz method and a direct iterative algorithm to obtain the Nonlinear Vibration frequencies and postbuckling equilibrium paths of the beams with different end supports. Special attention is given to the effects of varying porosity coefficients and GPL's weight fraction, dispersion pattern, geometry and size on the Nonlinear behavior of the porous nanocomposite beam. It is found that the addition of a small amount of GPLs can remarkably reinforce the stiffness of the beam, and its Nonlinear Vibration and postbuckling performance is significantly influenced by the distribution patterns of both internal pores and GPL nanofillers.

  • Nonlinear Vibration of functionally graded carbon nanotube reinforced composite beams with geometric imperfections
    Composites Part B-engineering, 2016
    Co-Authors: Helong Wu, Jie Yang, Sritawat Kitipornchai
    Abstract:

    The Nonlinear Vibration of imperfect shear deformable functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beams is studied in this paper based on the first-order shear deformation beam theory and von Karman geometric Nonlinearity. A one-dimensional imperfection model in the form of the product of trigonometric and hyperbolic functions are used to describe the various possible geometric imperfections such as sine type, global, and localized imperfections. The governing equations are derived by employing the Ritz method and then solved by an iteration procedure. Special attention is given to the influences of imperfection mode, location, and amplitude on the Nonlinear behaviour. The linear Vibration is also discussed as a subset problem. Numerical results in tabular and graphical forms show that the Nonlinear Vibration behaviour of imperfect FG-CNTRC beams is considerably sensitive to sine type and global imperfections (except for G2-mode), whereas the effect of localized imperfection is much less pronounced. It is also observed that whether the FG-CNTRC beam exhibits the “hard-spring” or “soft-spring” Vibration behaviour is largely dependent on the initial imperfection mode, its amplitude as well as the Vibration amplitude.

  • Nonlinear Vibration of nonlocal piezoelectric nanoplates
    International Journal of Structural Stability and Dynamics, 2015
    Co-Authors: Liao-liang Ke, Yue-sheng Wang, Jie Yang
    Abstract:

    This paper presents an analytical study on the Nonlinear Vibration of rectangular piezoelectric nanoplates resting on the Winkler foundation. The piezoelectric nanoplate is assumed to be simply supported on all four edges and is subjected to an external electric voltage and a uniform temperature rise. Based on von Karman Nonlinear strain-displacement relations and the nonlocal constitutive relations, the Nonlinear governing equations and corresponding boundary conditions are derived by employing Hamilton's principle. The Galerkin method is used to obtain the Nonlinear ordinary equation, which is then solved by the direct integration method. An extensive parametric study is conducted to examine the effects of the nonlocal parameter, external electric voltage, temperature rise and Winkler parameter on the Nonlinear Vibration characteristics of piezoelectric nanoplates.

  • an analytical study on the Nonlinear Vibration of functionally graded beams
    Meccanica, 2010
    Co-Authors: Jie Yang, Liao-liang Ke, Sritawat Kitipornchai
    Abstract:

    Nonlinear Vibration of beams made of functionally graded materials (FGMs) is studied in this paper based on Euler-Bernoulli beam theory and von Karman geometric Nonlinearity. It is assumed that material properties follow either exponential or power law distributions through thickness direction. Galerkin procedure is used to obtain a second order Nonlinear ordinary equation with quadratic and cubic Nonlinear terms. The direct numerical integration method and Runge-Kutta method are employed to find the Nonlinear Vibration response of FGM beams with different end supports. The effects of material property distribution and end supports on the Nonlinear dynamic behavior of FGM beams are discussed. It is found that unlike homogeneous beams, FGM beams show different Vibration behavior at positive and negative amplitudes due to the presence of quadratic Nonlinear term arising from bending-stretching coupling effect.

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