The Experts below are selected from a list of 297 Experts worldwide ranked by ideXlab platform
Wei Zhang - One of the best experts on this subject based on the ideXlab platform.
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analysis on nonlinear vibrations near internal resonances of a composite laminated piezoelectric Rectangular Plate
Engineering Structures, 2018Co-Authors: Y F Zhang, Wei ZhangAbstract:Abstract The nonlinear vibrations and chaotic motions of a simply supported symmetric cross-ply composite laminated piezoelectric Rectangular Plate subjected to the transverse and in-plane excitations are analyzed in the case of primary parametric resonance and 1:3 internal resonance. It is assumed that different layers of the symmetric cross-ply composite laminated piezoelectric Rectangular Plate are perfectly bonded to each other and with piezoelectric actuator layers embedded in the Plate. Based on the Reddy’s third-order shear deformation Plate theory, the nonlinear governing equation of motion for the composite laminated piezoelectric Rectangular Plate is derived by using the Hamilton’s principle. The Galerkin’s approach is employed to discretize the partial differential governing equation to a two-degree-of-freedom nonlinear system under combined the parametric and external excitations. The method of multiple scales is utilized to obtain the four-dimensional averaged equation. Numerical method is used to find the bifurcation diagram, the periodic and chaotic motions of the composite laminated piezoelectric Rectangular Plate. The numerical results illustrate the existence of the periodic and chaotic motions in the averaged equation. It is found that the chaotic responses are especially sensitive to the forcing and the parametric excitations. The influences of the transverse, in-plane and piezoelectric excitations on the bifurcations and chaotic behaviors of the composite laminated piezoelectric Rectangular Plate are investigated numerically.
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multi pulse chaotic motions of high dimension nonlinear system for a laminated composite piezoelectric Rectangular Plate
Meccanica, 2014Co-Authors: Wei ZhangAbstract:This paper investigates the multi-pulse global bifurcations and chaotic dynamics of the high-dimension nonlinear system for a laminated composite piezoelectric Rectangular Plate by using an extended Melnikov method in the resonant case. Using the von Karman type equations, Reddy’s third-order shear deformation Plate theory and Hamilton’s principle, the equations of motion are derived for the laminated composite piezoelectric Rectangular Plate with combined parametric excitations and transverse excitation. Applying the method of multiple scales and Galerkin’s approach to the partial differential governing equation, the four-dimensional averaged equation is obtained for the case of 1:2 internal resonance and primary parametric resonance. From the averaged equations obtained, the theory of normal form is used to derive the explicit expressions of normal form with a double zero and a pair of pure imaginary eigenvalues. Based on the explicit expressions of normal form, the extended Melnikov method is used for the first time to investigate the Shilnikov type multi-pulse homoclinic bifurcations and chaotic dynamics of the laminated composite piezoelectric Rectangular Plate. The necessary conditions of the existence for the Shilnikov type multi-pulse chaotic dynamics of the laminated composite piezoelectric Rectangular Plate are analytically obtained. Numerical simulations also illustrate that the Shilnikov type multi-pulse chaotic motions can also occur in the laminated composite piezoelectric Rectangular Plate. Overall, both theoretical and numerical studies demonstrate that the chaos in the Smale horseshoe sense exists for the laminated composite piezoelectric Rectangular Plate.
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nonlinear dynamics of composite laminated cantilever Rectangular Plate subject to third order piston aerodynamics
Acta Mechanica, 2014Co-Authors: M H Zhao, Wei ZhangAbstract:This paper presents the analysis of the nonlinear dynamics for a composite laminated cantilever Rectangular Plate subjected to the supersonic gas flows and the in-plane excitations. The aerodynamic pressure is modeled by using the third-order piston theory. Based on Reddy’s third-order Plate theory and the von Karman-type equation for the geometric nonlinearity, the nonlinear partial differential equations of motion for the composite laminated cantilever Rectangular Plate under combined aerodynamic pressure and in-plane excitation are derived by using Hamilton’s principle. The Galerkin’s approach is used to transform the nonlinear partial differential equations of motion for the composite laminated cantilever Rectangular Plate to a two-degree-of-freedom nonlinear system under combined external and parametric excitations. The method of multiple scales is employed to obtain the four-dimensional averaged equation of the non-automatic nonlinear system. The case of 1:2 internal resonance and primary parametric resonance is taken into account. A numerical method is utilized to study the bifurcations and chaotic dynamics of the composite laminated cantilever Rectangular Plate. The frequency–response curves, bifurcation diagram, phase portrait and frequency spectra are obtained to analyze the nonlinear dynamic behavior of the composite laminated cantilever Rectangular Plate, which includes the periodic and chaotic motions.
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Modeling and Chaotic Dynamics of the Laminated Composite Piezoelectric Rectangular Plate
Hindawi Limited, 2014Co-Authors: Minghui Yao, Wei Zhang, D. M. WangAbstract:This paper investigates the multipulse heteroclinic bifurcations and chaotic dynamics of a laminated composite piezoelectric Rectangular Plate by using an extended Melnikov method in the resonant case. According to the von Karman type equations, Reddy’s third-order shear deformation Plate theory, and Hamilton’s principle, the equations of motion are derived for the laminated composite piezoelectric Rectangular Plate with combined parametric excitations and transverse excitation. The method of multiple scales and Galerkin’s approach are applied to the partial differential governing equation. Then, the four-dimensional averaged equation is obtained for the case of 1 : 3 internal resonance and primary parametric resonance. The extended Melnikov method is used to study the Shilnikov type multipulse heteroclinic bifurcations and chaotic dynamics of the laminated composite piezoelectric Rectangular Plate. The necessary conditions of the existence for the Shilnikov type multipulse chaotic dynamics are analytically obtained. From the investigation, the geometric structure of the multipulse orbits is described in the four-dimensional phase space. Numerical simulations show that the Shilnikov type multipulse chaotic motions can occur. To sum up, both theoretical and numerical studies suggest that chaos for the Smale horseshoe sense in motion exists for the laminated composite piezoelectric Rectangular Plate
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nonlinear responses of a symmetric cross ply composite laminated cantilever Rectangular Plate under in plane and moment excitations
Composite Structures, 2013Co-Authors: Wei Zhang, M H ZhaoAbstract:Abstract The nonlinear dynamic responses of a composite laminated cantilever Rectangular Plate under the in-plane and moment excitations are studied. The Reddy’s higher-order shear deformation theory and the von Karman type equations for the geometric nonlinearity are used to establish the governing equations of motion. The nonlinear governing partial differential equations of motion for the composite laminated cantilever Rectangular Plate are derived by using the Hamilton’s principle, which are transformed into a two-degree-of-freedom nonlinear system by using the Galerkin approach. A new kind of expression of the displacement functions is given. The case of 1:2 internal resonance and primary parametric resonance is taken into account. The influence of the in-plane and moment excitations on the nonlinear vibrations of the composite laminated cantilever Rectangular Plate is discussed by using numerical simulation. The numerical results demonstrate that there exist the bifurcation and chaotic motions of the composite laminated cantilever Rectangular Plate. The nonlinear frequency–response curves of this system under different excitations are investigated to show the relationships between the excitations and the amplitudes of the first two modes.
Yoshinobu Tanigawa - One of the best experts on this subject based on the ideXlab platform.
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three dimensional solution for transient thermal stresses of an orthotropic functionally graded Rectangular Plate
Composite Structures, 2007Co-Authors: Yoshihiro Ootao, Yoshinobu TanigawaAbstract:This paper is concerned with the theoretical treatment of transient thermoelastic problem involving an orthotropic functionally graded Rectangular Plate due to nonuniform heat supply. The thermal and thermoelastic constants of the Rectangular Plate are assumed to vary exponentially in the thickness direction. The transient three-dimensional temperature is analyzed exactly by the methods of Laplace and finite cosine transformations. The three-dimensional solution for the simple supported Rectangular Plate is obtained herein. Some numerical results for the temperature change, the displacement and the stress distributions are shown in figures. Furthermore, the influence of the nonhomogeneity and orthotropy of the material is investigated.
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three dimensional solution for transient thermal stresses of functionally graded Rectangular Plate due to nonuniform heat supply
International Journal of Mechanical Sciences, 2005Co-Authors: Yoshihiro Ootao, Yoshinobu TanigawaAbstract:This paper is concerned with the theoretical treatment of transient thermoelastic problem involving a functionally graded Rectangular Plate due to nonuniform heat supply. The thermal and thermoelastic constants of the Rectangular Plate are assumed to vary exponentially in the thickness direction. The transient three-dimensional temperature is analyzed by the methods of Laplace and finite cosine transformations. We obtain the three-dimensional solution for the simple supported Rectangular Plate. Some numerical results for the temperature change, the displacement and the stress distributions are shown in figures. Furthermore, the influence of the nonhomogeneity of the material is investigated.
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three dimensional transient piezothermoelasticity in functionally graded Rectangular Plate bonded to a piezoelectric Plate
International Journal of Solids and Structures, 2000Co-Authors: Yoshihiro Ootao, Yoshinobu TanigawaAbstract:In this study, the theoretical analysis of a three-dimensional transient piezothermoelasticity problem is developed for a functionally graded Rectangular Plate bonded to a piezoelectric Plate due to partial heat supply. In this analysis, temperature distribution has a dependence on time, while the inertia term is ignored. Assuming the functionally graded Rectangular Plate has nonhomogeneous thermal and mechanical material properties in the thickness direction, the three-dimensional temperature in a transient state and three-dimensional transient thermal stresses of a simple supported Plate for functionally graded material are analyzed by introducing the theory of laminated composites as a theoretical approximation. By using the solution for a functionally graded Plate and the exact solution for piezoelectric Plate of crystal class mm2, the theoretical analysis of three-dimensional transient piezothermoelasticity is developed for a simply supported combined Plate. As an example, numerical calculations are carried out for a functionally graded Rectangular Plate made of zirconium oxide and titanium alloy, bonded to a piezoelectric Plate of a cadmium selenide solid. Some numerical results for the temperature change, the displacement, the stress, electric potential, and electric displacement distributions in a transient state are shown in figures.
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three dimensional transient thermal stresses of functionally graded Rectangular Plate due to partial heating
Journal of Thermal Stresses, 1999Co-Authors: Yoshihiro Ootao, Yoshinobu TanigawaAbstract:In this study, the theoretical analysis of a three-dimensional thermal stress problem is developed for a functionally graded Rectangular Plate due to a partial heat supply in a transient state. Assuming the functionally graded Rectangular Plate has nonhomoge neous thermal and mechanical material properties in the thickness direction, the three-dimensional temperature in a transient state and three-dimensional transient thermal stresses in a simple supported Plate for functionally graded material are analyzed by introducing the theory of laminated composites as one of theoretical approximation. As an example, numerical calculations are carried out for a functionally graded Rectangular Plate made of zirconium oxide and titanium alloy. Some numerical results for the temperature change, the displacement, and the stress distributions are shown in figures.
Yoshihiro Ootao - One of the best experts on this subject based on the ideXlab platform.
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three dimensional solution for transient thermal stresses of an orthotropic functionally graded Rectangular Plate
Composite Structures, 2007Co-Authors: Yoshihiro Ootao, Yoshinobu TanigawaAbstract:This paper is concerned with the theoretical treatment of transient thermoelastic problem involving an orthotropic functionally graded Rectangular Plate due to nonuniform heat supply. The thermal and thermoelastic constants of the Rectangular Plate are assumed to vary exponentially in the thickness direction. The transient three-dimensional temperature is analyzed exactly by the methods of Laplace and finite cosine transformations. The three-dimensional solution for the simple supported Rectangular Plate is obtained herein. Some numerical results for the temperature change, the displacement and the stress distributions are shown in figures. Furthermore, the influence of the nonhomogeneity and orthotropy of the material is investigated.
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three dimensional solution for transient thermal stresses of functionally graded Rectangular Plate due to nonuniform heat supply
International Journal of Mechanical Sciences, 2005Co-Authors: Yoshihiro Ootao, Yoshinobu TanigawaAbstract:This paper is concerned with the theoretical treatment of transient thermoelastic problem involving a functionally graded Rectangular Plate due to nonuniform heat supply. The thermal and thermoelastic constants of the Rectangular Plate are assumed to vary exponentially in the thickness direction. The transient three-dimensional temperature is analyzed by the methods of Laplace and finite cosine transformations. We obtain the three-dimensional solution for the simple supported Rectangular Plate. Some numerical results for the temperature change, the displacement and the stress distributions are shown in figures. Furthermore, the influence of the nonhomogeneity of the material is investigated.
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three dimensional transient piezothermoelasticity in functionally graded Rectangular Plate bonded to a piezoelectric Plate
International Journal of Solids and Structures, 2000Co-Authors: Yoshihiro Ootao, Yoshinobu TanigawaAbstract:In this study, the theoretical analysis of a three-dimensional transient piezothermoelasticity problem is developed for a functionally graded Rectangular Plate bonded to a piezoelectric Plate due to partial heat supply. In this analysis, temperature distribution has a dependence on time, while the inertia term is ignored. Assuming the functionally graded Rectangular Plate has nonhomogeneous thermal and mechanical material properties in the thickness direction, the three-dimensional temperature in a transient state and three-dimensional transient thermal stresses of a simple supported Plate for functionally graded material are analyzed by introducing the theory of laminated composites as a theoretical approximation. By using the solution for a functionally graded Plate and the exact solution for piezoelectric Plate of crystal class mm2, the theoretical analysis of three-dimensional transient piezothermoelasticity is developed for a simply supported combined Plate. As an example, numerical calculations are carried out for a functionally graded Rectangular Plate made of zirconium oxide and titanium alloy, bonded to a piezoelectric Plate of a cadmium selenide solid. Some numerical results for the temperature change, the displacement, the stress, electric potential, and electric displacement distributions in a transient state are shown in figures.
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three dimensional transient thermal stresses of functionally graded Rectangular Plate due to partial heating
Journal of Thermal Stresses, 1999Co-Authors: Yoshihiro Ootao, Yoshinobu TanigawaAbstract:In this study, the theoretical analysis of a three-dimensional thermal stress problem is developed for a functionally graded Rectangular Plate due to a partial heat supply in a transient state. Assuming the functionally graded Rectangular Plate has nonhomoge neous thermal and mechanical material properties in the thickness direction, the three-dimensional temperature in a transient state and three-dimensional transient thermal stresses in a simple supported Plate for functionally graded material are analyzed by introducing the theory of laminated composites as one of theoretical approximation. As an example, numerical calculations are carried out for a functionally graded Rectangular Plate made of zirconium oxide and titanium alloy. Some numerical results for the temperature change, the displacement, and the stress distributions are shown in figures.
Lalit Kumar - One of the best experts on this subject based on the ideXlab platform.
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thermal effect on vibration of non homogenous visco elastic Rectangular Plate of linearly varying thickness
Meccanica, 2008Co-Authors: Arun Gupta, Lalit KumarAbstract:An analysis for vibration of non-homogenous visco-elastic Rectangular Plate of linearly varying thickness subjected to thermal gradient has been discussed in the present investigation. For visco-elastic, the basic elastic and viscous elements are combined. We have taken Kelvin model for visco-elasticity that is the combination of the elastic and viscous elements in parallel. Here the elastic element means the spring and the viscous element means the dashpot. The governing differential equation of motion has been solved by Galerkin’s technique. Deflection, time period and logarithmic decrement at different points for the first two modes of vibration are calculated for various values of thermal gradients, non homogeneity constant, taper constant and aspect ratio for non-homogenous visco-elastic Rectangular Plate which is clamped on two parallel edges and simply supported on remaining two edges. Comparison studies have been carried out with homogeneous visco-elastic Rectangular Plate to establish the accuracy and versatility.
Arun Gupta - One of the best experts on this subject based on the ideXlab platform.
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forced vibrations of non homogeneous Rectangular Plate of linearly varying thickness
Journal of Vibration and Control, 2014Co-Authors: Arun Gupta, Manisha Saini, Shiv Singh, Rajendar KumarAbstract:An analysis is presented of the forced vibrations of non-homogeneous Rectangular Plate of variable thickness on the basis of classical Plate theory. The non-homogeneity of the Plate material is assumed to arise due to the variation in density which is assumed to vary linearly. The thickness of the Plate also varies linearly. Approximate formulae are proposed for estimating the maximum deflection of a Rectangular Plate subject to a uniformly distributed harmonic lateral load. Maximum deflection for the different values of the fundamental frequency of vibration is computed for a simply supported-free-simply supported-free Plate for various values of taper constant, non-homogeneity constant and aspect ratios. Results are presented in graphical form.
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thermal effect on vibration of non homogenous visco elastic Rectangular Plate of linearly varying thickness
Meccanica, 2008Co-Authors: Arun Gupta, Lalit KumarAbstract:An analysis for vibration of non-homogenous visco-elastic Rectangular Plate of linearly varying thickness subjected to thermal gradient has been discussed in the present investigation. For visco-elastic, the basic elastic and viscous elements are combined. We have taken Kelvin model for visco-elasticity that is the combination of the elastic and viscous elements in parallel. Here the elastic element means the spring and the viscous element means the dashpot. The governing differential equation of motion has been solved by Galerkin’s technique. Deflection, time period and logarithmic decrement at different points for the first two modes of vibration are calculated for various values of thermal gradients, non homogeneity constant, taper constant and aspect ratio for non-homogenous visco-elastic Rectangular Plate which is clamped on two parallel edges and simply supported on remaining two edges. Comparison studies have been carried out with homogeneous visco-elastic Rectangular Plate to establish the accuracy and versatility.
