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Nikkhah M Ahrami - One of the best experts on this subject based on the ideXlab platform.
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vibration amplitude and thermal effects on the nonlinear behavior of thin circular functionally graded plates
International Journal of Mechanical Sciences, 2008Co-Authors: A Allahverdizadeh, Mohamad Hasan Naei, Nikkhah M AhramiAbstract:In this paper, the nonlinear free axisymmetric vibration of a thin circular functionally graded plate in thermal environment is formulated in terms of von-Karman's dynamic equations, and a Semi-Analytical Approach is developed. The plate thickness is constant and the material properties of the functionally graded plate are assumed to vary continuously through the thickness, according to a power-law distribution of the volume fraction of the constituents. For harmonic vibrations, by using assumed-time-mode method and Kantorovich time averaging technique, governing equations are solved. The nonlinear frequencies and associated stresses are determined at large amplitudes of vibration. Effects of material compositions and thermal loads on the vibration characteristics and stresses are examined. The numerical results obtained here are compared with available published results, based on various Approaches.
A Allahverdizadeh - One of the best experts on this subject based on the ideXlab platform.
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nonlinear free and forced vibration analysis of thin circular functionally graded plates
Journal of Sound and Vibration, 2008Co-Authors: A Allahverdizadeh, Mohamad Hasan Naei, Nikkhah M BahramiAbstract:In this paper, a Semi-Analytical Approach for nonlinear free and forced axisymmetric vibration of a thin circular functionally graded plate is developed. The plate thickness is constant. Functionally graded material (FGM) properties vary through the thickness of the plate. For harmonic vibrations, by using assumed-time-mode method and Kantorovich time averaging technique, the governing equations are solved. Steady-state free and forced vibration analysis is investigated in detail and corresponding results at uniform ambient temperature are illustrated. Some of these results in special cases are verified by comparing with those in the literature. The results show that the free vibration frequencies are dependent on vibration amplitudes, and that the volume fraction index has a significant influence on the nonlinear response characteristics of the plate.
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vibration amplitude and thermal effects on the nonlinear behavior of thin circular functionally graded plates
International Journal of Mechanical Sciences, 2008Co-Authors: A Allahverdizadeh, Mohamad Hasan Naei, Nikkhah M AhramiAbstract:In this paper, the nonlinear free axisymmetric vibration of a thin circular functionally graded plate in thermal environment is formulated in terms of von-Karman's dynamic equations, and a Semi-Analytical Approach is developed. The plate thickness is constant and the material properties of the functionally graded plate are assumed to vary continuously through the thickness, according to a power-law distribution of the volume fraction of the constituents. For harmonic vibrations, by using assumed-time-mode method and Kantorovich time averaging technique, governing equations are solved. The nonlinear frequencies and associated stresses are determined at large amplitudes of vibration. Effects of material compositions and thermal loads on the vibration characteristics and stresses are examined. The numerical results obtained here are compared with available published results, based on various Approaches.
Tanish Dey - One of the best experts on this subject based on the ideXlab platform.
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non linear stability analysis of cnt reinforced composite cylindrical shell panel subjected to thermomechanical loading
Composite Structures, 2021Co-Authors: Sumeet Chakraborty, Tanish DeyAbstract:Abstract The present study explores the nonlinear stability characteristics of simply supported carbon nanotubes (CNTs) reinforced composite (CNTRC) cylindrical shell panel subjected to combined axial compressive loading and localized heating using Semi-Analytical Approach. The thermomechanical properties of CNTRC panel are considered to be temperature-dependent and are evaluated using extended rule of mixture method. Higher order shear deformation theory and von Karman type nonlinearity are employed to model the CNTRC cylindrical panel. Two types of localized heating profiles such as rectangular and circular are considered along with full heating. The pre-buckling stresses generated because of applied localized heating are determined using Airy’s stress function by satisfying the strain compatibility relations. The governing equations for stability problem of CNTRC panel are derived using variational principle incorporating the obtained pre-buckling stresses. The partial differential equations obtained are converted to a set of nonlinear algebraic equations by employing the Galerkin’s technique. The buckling temperature and nonlinear equilibrium paths are determined by solving the abovementioned equations using appropriate methods. The obtained results using present Semi-Analytical Approach demonstrated the influence of various dispersion profiles of CNTs, CNT volume fraction and heating profiles on the buckling and post-buckling characteristics of CNTRC cylindrical shell panel subjected to thermomechanical loadings.
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stability and vibration analysis of cnt reinforced functionally graded laminated composite cylindrical shell panels using semi analytical Approach
Composites Part B-engineering, 2019Co-Authors: Sumeet Chakraborty, Tanish Dey, Rajesh KumarAbstract:Abstract The present paper examined the buckling, postbuckling and vibration characteristics of pre-buckled and post-buckled laminated CNT reinforced composite (CNTRC) cylindrical shell panel made up of single walled carbon nanotubes (SWCNTs) and isotropic matrix. The effective material properties of CNTRC panel are computed using extended rule-of mixture (ROM) method. Higher order shear deformation theory (HSDT) with von Karman type of nonlinearity is adopted to model the CNTRC cylindrical shell panel. Four different boundary conditions are considered. Besides uniform loading, different types of non-uniform in-plane load distribution such as triangular, trapezoidal, parabolic and partial edge loadings are considered. The internal stress distribution within the shell panel due to applied non-uniform loadings is evaluated by prebuckling analysis. Subsequently, via Hamilton's principle the governing partial differential equations of CNTRC laminated cylindrical shell panel are derived. Employing Galerkin's method and by neglecting the inertia terms the partial differential equations are reduced to a set of non-linear algebraic equation for the static problem. However, for dynamic problem the partial differential equations are converted to a set of ordinary differential equations. Beside parametric study the obtained numerical results from the present Semi-Analytical study illustrates the effects of CNT volume fraction, CNT dispersion profile, non-uniform load distribution and boundary conditions on the stability and vibration characteristics of CNTRC cylindrical panel.
Sumeet Chakraborty - One of the best experts on this subject based on the ideXlab platform.
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non linear stability analysis of cnt reinforced composite cylindrical shell panel subjected to thermomechanical loading
Composite Structures, 2021Co-Authors: Sumeet Chakraborty, Tanish DeyAbstract:Abstract The present study explores the nonlinear stability characteristics of simply supported carbon nanotubes (CNTs) reinforced composite (CNTRC) cylindrical shell panel subjected to combined axial compressive loading and localized heating using Semi-Analytical Approach. The thermomechanical properties of CNTRC panel are considered to be temperature-dependent and are evaluated using extended rule of mixture method. Higher order shear deformation theory and von Karman type nonlinearity are employed to model the CNTRC cylindrical panel. Two types of localized heating profiles such as rectangular and circular are considered along with full heating. The pre-buckling stresses generated because of applied localized heating are determined using Airy’s stress function by satisfying the strain compatibility relations. The governing equations for stability problem of CNTRC panel are derived using variational principle incorporating the obtained pre-buckling stresses. The partial differential equations obtained are converted to a set of nonlinear algebraic equations by employing the Galerkin’s technique. The buckling temperature and nonlinear equilibrium paths are determined by solving the abovementioned equations using appropriate methods. The obtained results using present Semi-Analytical Approach demonstrated the influence of various dispersion profiles of CNTs, CNT volume fraction and heating profiles on the buckling and post-buckling characteristics of CNTRC cylindrical shell panel subjected to thermomechanical loadings.
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stability and vibration analysis of cnt reinforced functionally graded laminated composite cylindrical shell panels using semi analytical Approach
Composites Part B-engineering, 2019Co-Authors: Sumeet Chakraborty, Tanish Dey, Rajesh KumarAbstract:Abstract The present paper examined the buckling, postbuckling and vibration characteristics of pre-buckled and post-buckled laminated CNT reinforced composite (CNTRC) cylindrical shell panel made up of single walled carbon nanotubes (SWCNTs) and isotropic matrix. The effective material properties of CNTRC panel are computed using extended rule-of mixture (ROM) method. Higher order shear deformation theory (HSDT) with von Karman type of nonlinearity is adopted to model the CNTRC cylindrical shell panel. Four different boundary conditions are considered. Besides uniform loading, different types of non-uniform in-plane load distribution such as triangular, trapezoidal, parabolic and partial edge loadings are considered. The internal stress distribution within the shell panel due to applied non-uniform loadings is evaluated by prebuckling analysis. Subsequently, via Hamilton's principle the governing partial differential equations of CNTRC laminated cylindrical shell panel are derived. Employing Galerkin's method and by neglecting the inertia terms the partial differential equations are reduced to a set of non-linear algebraic equation for the static problem. However, for dynamic problem the partial differential equations are converted to a set of ordinary differential equations. Beside parametric study the obtained numerical results from the present Semi-Analytical study illustrates the effects of CNT volume fraction, CNT dispersion profile, non-uniform load distribution and boundary conditions on the stability and vibration characteristics of CNTRC cylindrical panel.
Hong-liang Dai - One of the best experts on this subject based on the ideXlab platform.
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thermo elastic analysis of a functionally graded rotating hollow circular disk with variable thickness and angular speed
Applied Mathematical Modelling, 2016Co-Authors: Ting Dai, Hong-liang DaiAbstract:Abstract In this paper, the displacement and stress fields in a functionally graded material (FGM) hollow circular disk, rotating with an angular acceleration under a changing temperature field, are achieved by using a Semi-Analytical Approach. The material properties are assumed to vary along the radial coordinate and related to the volume fraction of each material. The modulus of elasticity and the coefficient of thermal expansion are supposed to be temperature-dependent, while the Poisson's ratio is assumed to be constant. In numerical examples, effects of the functionally graded index, the geometric shape, the angular speed and the temperature boundary conditions to the displacement and stresses are considered. The results of this study may be useful for other investigations of rotating FGM circular disks with variable thickness.
