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Anupam Khanna - One of the best experts on this subject based on the ideXlab platform.
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effect of thermal gradient on vibration of non homogeneous Square Plate with exponentially varying thickness
Journal of Solid Mechanics, 2015Co-Authors: Anupam Khanna, R Deep, D KumarAbstract:Vibrations of Plate and Plate type structures made up of composite materials have a significant role in various industrial mechanical structures, aerospace industries and other engineering applications. The main aim of the present paper is to study the two dimensional thermal effect on the vibration of non-homogeneous Square Plate of variable thickness having clamped boundary. It is assumed that temperature varies bi-parabolic i.e. parabolic in x-direction & parabolic in y-direction and thickness is considered to vary exponentially in x direction. Also, density is taken as the function of “x” due to nonhomogeneity present in the Plate’s material. Rayleigh Ritz technique is used to calculate the natural frequency for both the modes of vibration for the various values of taper parameter, non-homogeneity constant and thermal gradient. All the calculations are carried out for an alloy of Aluminum, Duralumin, by using mathematica. © 2015 IAU, Arak Branch.All rights reserved.
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an analytical approach on free vibrations of non homogeneous tapered Square Plate with bi linear temperature variations
2012Co-Authors: Anupam KhannaAbstract:An analysis on free vibrations of four sided clamped non-homogeneous Square Plate with exponential varying thickness is presented on the basis of classical Plate theory. In the present work, the non- homogeneity of Plate material is assumed to arise due to variation of density along x- direction. It is assumed that the temperature varies linearly in both the directions. Rayleigh Ritz method is applied to obtain the frequency parameter. Frequency is calculated for two modes of vibrations of a Square Plate with different values of thermal gradient, taper constant and non-homogeneity constant.
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Vibration Analysis of Visco-Elastic Square Plate of Variable Thickness with Thermal Gradient
International Journal of Engineering and Applied Sciences, 2011Co-Authors: Anupam Khanna, Ashish Kumar SharmaAbstract:In the modern technology, the Plates of variable th ickness are widely used in engineering applications i.e. nuclear reactor, aeronautical field, naval structure, submarine, ear th-quake resistors etc. In this paper thermal gradi ent effect on vibration of Square Plate having one -direction thickness variat ions is studied. The non-homogeneity is assumed to arise due to the variation in the density of the Plate material. Ray leigh Ritz method is used to evaluate the fundament al frequencies. Both the modes of the frequency are calculated by the latest computational technique, MATLAB, for the various vof taper parameters and temperature gradient. All the result s are presented in the graphs. Keyword : Visco-elastic, Square Plate, Vibration, Thermal g radient, Taper constant.
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Study of Free Vibration of Visco-Elastic Square Plate of Variable Thickness with Thermal Effect
Innovative Systems Design and Engineering, 2011Co-Authors: Anupam Khanna, Ashish Kumar Sharma, Meenu BhaitaAbstract:Visco-elastic Square Plates are widely used in various mechanical structures, aircrafts and industries. For a proper design of Plate structures and efficient use of material, the behavior and strength characteristics of Plates should be accurately determined. A mathematical model is presented for the use of engineers, technocrats and research workers in space technology, mechanical Sciences have to operate under elevated temperatures. Two dimensional thermal effects on frequency of free vibrations of a visco-elastic Square Plate of variable thickness are considered. In this paper, the thickness varies parabolically in both direction and thermal effect is varying linearly in one direction and parabolic in another direction. Rayleigh Ritz method is used to evaluate the fundamental frequencies. Both the modes of the frequency are calculated by the latest computational technique, MATLAB, for the various values of taper parameters and temperature gradient.
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vibration of non homogeneous visco elastic Square Plate of variable thickness in both directions with thermal effect
Innovative Systems Design and Engineering, 2011Co-Authors: Anupam Khanna, Ashish Kumar SharmaAbstract:Plates are being increasingly used in the aeronautical and aerospace industry as well as in other fields of modern technology. Plates with variable thickness are of great importance in a wide variety of engineering applications i.e. nuclear reactor, aeronautical field, naval structure, submarine, earth-quake resistors etc. A mathematical model is presented for the use of engineers and research workers in space technology; have to operate under elevated temperatures. It is considered that the temperatures vary linearly in one direction and thickness of Square Plate varies linearly in two directions. An approximate but quite convenient frequency equation is derived for a Square Plate by using Rayleigh-Ritz technique. Both the modes of the frequency are calculated by the latest computational technique, MATLAB, for the various values of taper parameters and temperature gradient. All the results are presented in the form of table.
Ashish Kumar Sharma - One of the best experts on this subject based on the ideXlab platform.
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Vibration Analysis of Visco-Elastic Square Plate of Variable Thickness with Thermal Gradient
International Journal of Engineering and Applied Sciences, 2011Co-Authors: Anupam Khanna, Ashish Kumar SharmaAbstract:In the modern technology, the Plates of variable th ickness are widely used in engineering applications i.e. nuclear reactor, aeronautical field, naval structure, submarine, ear th-quake resistors etc. In this paper thermal gradi ent effect on vibration of Square Plate having one -direction thickness variat ions is studied. The non-homogeneity is assumed to arise due to the variation in the density of the Plate material. Ray leigh Ritz method is used to evaluate the fundament al frequencies. Both the modes of the frequency are calculated by the latest computational technique, MATLAB, for the various vof taper parameters and temperature gradient. All the result s are presented in the graphs. Keyword : Visco-elastic, Square Plate, Vibration, Thermal g radient, Taper constant.
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Study of Free Vibration of Visco-Elastic Square Plate of Variable Thickness with Thermal Effect
Innovative Systems Design and Engineering, 2011Co-Authors: Anupam Khanna, Ashish Kumar Sharma, Meenu BhaitaAbstract:Visco-elastic Square Plates are widely used in various mechanical structures, aircrafts and industries. For a proper design of Plate structures and efficient use of material, the behavior and strength characteristics of Plates should be accurately determined. A mathematical model is presented for the use of engineers, technocrats and research workers in space technology, mechanical Sciences have to operate under elevated temperatures. Two dimensional thermal effects on frequency of free vibrations of a visco-elastic Square Plate of variable thickness are considered. In this paper, the thickness varies parabolically in both direction and thermal effect is varying linearly in one direction and parabolic in another direction. Rayleigh Ritz method is used to evaluate the fundamental frequencies. Both the modes of the frequency are calculated by the latest computational technique, MATLAB, for the various values of taper parameters and temperature gradient.
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vibration of non homogeneous visco elastic Square Plate of variable thickness in both directions with thermal effect
Innovative Systems Design and Engineering, 2011Co-Authors: Anupam Khanna, Ashish Kumar SharmaAbstract:Plates are being increasingly used in the aeronautical and aerospace industry as well as in other fields of modern technology. Plates with variable thickness are of great importance in a wide variety of engineering applications i.e. nuclear reactor, aeronautical field, naval structure, submarine, earth-quake resistors etc. A mathematical model is presented for the use of engineers and research workers in space technology; have to operate under elevated temperatures. It is considered that the temperatures vary linearly in one direction and thickness of Square Plate varies linearly in two directions. An approximate but quite convenient frequency equation is derived for a Square Plate by using Rayleigh-Ritz technique. Both the modes of the frequency are calculated by the latest computational technique, MATLAB, for the various values of taper parameters and temperature gradient. All the results are presented in the form of table.
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Bi- Parabolic thermal effect on vibration of visco-elastic Square Plate
2011Co-Authors: Anupam Khanna, Ashish Kumar Sharma, Harminder Singh, Verjesh Kumar MagotraAbstract:The analysis presented here is to study the effect of thermal gradient on the vibration of visco-elastic Square Plate (having clamped boundary condition on all the four edges) of variable thickness whose thickness varies linearly in both directions. Two dimensional thermal effects on frequency of free vibrations of a visco-elastic Square Plate is considered. It is also considered that the temperature varies parabolically in two directions and thickness of Square Plate varies linearly in two directions. An approximate but quite convenient frequency equation is derived for a Square Plate (clamped at all the edges) by using Rayleigh-Ritz technique with a two-term deflection function. Both the modes of the frequency are calculated by the latest computational technique, MATLAB, for the various
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Analysis of free vibrations of VISCO elastic Square Plate of variable thickness with temperature effect
2011Co-Authors: Anupam Khanna, Ashish Kumar SharmaAbstract:A simple model presented here is to study the effect of linear thickness variation on vibration of viscoelastic Square Plate having clamped boundary condition on all the four edges. Two dimensional thermal effects on frequency of free vibrations of a viscoelastic Square Plate of variable thickness are considered. An approximate but quite convenient frequency equation is derived for a Square Plate (clamped at all the edges) by using RayleighRitz technique with a twoterm deflection function. Both the modes of the frequency are calculated by the latest computational technique, MATLAB, for the various values of taper parameters and temperature gradient. All the results are presented in the graphs.
J Farkas - One of the best experts on this subject based on the ideXlab platform.
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Structural optimization as a harmony of design, fabrication and economy
Structural and Multidisciplinary Optimization, 2005Co-Authors: J FarkasAbstract:The main requirements of load-carrying engineering structures are safety, producibility and economy. The role and importance of fabrication constraints and costs is shown in the case of a compression tubular strut, a tubular truss of parallel chords and a welded stiffened Square Plate. The evaluation of optimal versions of these structures shows that, neglecting the fabrication constraints and costs, the design cannot result in up-to-date solutions.
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minimum cost design of a welded stiffened Square Plate loaded by biaxial compression
Structural and Multidisciplinary Optimization, 2005Co-Authors: J Farkas, Luis Simoes, Karoly JarmaiAbstract:The optimized Plate structure consists of a simply supported Square base Plate stiffened with an orthogonal grid of flat stiffeners welded to the base Plate by fillet welds. The uniformly distributed compressive load acts biaxially in the plane determined by the centre of gravity of T-sections, which consist of a part of the base Plate and of a stiffener. In the optimization process the number of stiffeners as well as the thicknesses of the base Plate and flat stiffeners, which minimize the cost function and fulfil the design constraints, as sought. The cost function includes the cost of material, assembly, welding and painting. Constraints relate to the global buckling, local buckling of base Plate parts and stiffeners as well as to the deflection due to shrinkage of welds. To illustrate the effectiveness of the mathematical methods, the problem is solved by the Rosenbrock’s hill-climb algorithm as well as by entropy-based unconstrained minimization.
Amit Sharma - One of the best experts on this subject based on the ideXlab platform.
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Vibration of Nonhomogeneous Square Plate with Circular Variation in Density
Engineering Vibration Communication and Information Processing, 2018Co-Authors: Amit SharmaAbstract:Here, an analysis of vibrational frequency of nonuniform and nonhomogeneous Square Plate is presented. In view of nonuniformity and nonhomogeneity in Plates material, the author considered linear variation in thickness and circular variation in density. The variation of temperature is assumed bilinear (linear along both axes). To analyze the behavior of frequency modes under different variations in parameters, Rayleigh–Ritz technique is used.
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Natural Vibration of Square Plate with Circular Variation in Thickness
Advances in Intelligent Systems and Computing, 2018Co-Authors: Amit Sharma, Pravesh KumarAbstract:In this paper, the authors study natural vibration of non-uniform and non-homogeneous Square Plate on clamped boundary condition. The authors characterize circular variation in thickness in x-direction and bi-linear temperature variation along both the axes. For non-homogeneity, the author viewed linear variation in density parameter along x-direction. Rayleigh–Ritz technique has been applied to obtained frequency equation and first two modes of vibration of Square Plate for different values of taper constant, non-homogeneity constant and temperature gradient. All the results are presented in tabular form.
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Free vibration of Square Plate with temperature effect
Journal of Measurements in Engineering, 2017Co-Authors: Amit SharmaAbstract:In modern engineering, researchers/scientists are very keen to know first few modes of vibration because it provides how system/structure behaves under vibration. In this paper, author computed the natural vibration of non homogeneous tapered Square Plate. Here tapered means that Plate’s thickness varies linearly along x-axis. Here non homogeneity arises in the Plate’s material due to simultaneous variation in density (circular variation) and Poisson’s ratio (exponential variation). Temperature variation on the Plate is viewed bi-parabolic along the axes. Rayleigh-Ritz technique is applied to obtain the frequency equation and vibrational frequency modes under different combination of parameters. The findings of the papers are presented in tabular form.
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Vibration of Square Plate with Parabolic Temperature Variation
2017Co-Authors: Amit SharmaAbstract:Here the effect of parabolic temperature variation (along both the axes) on the natural frequency of non-uniform and non-homogeneous Square Plate is presented. For non uniformity and non homogeneity, circular variation in thickness and Poisson’s ratio is viewed in one direction. Rayleigh Ritz technique has been applied to solve the frequency equation. The results (first two modes) of the study are presented with the help of graphs. A comparison is also made with the existing result.
Shuxiang Dong - One of the best experts on this subject based on the ideXlab platform.
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a standing wave linear ultrasonic motor operating in in plane expanding and bending modes
Review of Scientific Instruments, 2015Co-Authors: Zhijiang Chen, Xiaotian Li, Penghong Ci, Shuxiang DongAbstract:A novel standing wave linear ultrasonic motor operating in in-plane expanding and bending modes was proposed in this study. The stator (or actuator) of the linear motor was made of a simple single Lead Zirconate Titanate (PZT) ceramic Square Plate (15 × 15 × 2 mm3) with a circular hole (D = 6.7 mm) in the center. The geometric parameters of the stator were computed with the finite element analysis to produce in-plane bi-mode standing wave vibration. The calculated results predicted that a driving tip attached at midpoint of one edge of the stator can produce two orthogonal, approximate straight-line trajectories, which can be used to move a slider in linear motion via frictional forces in forward or reverse direction. The investigations showed that the proposed linear motor can produce a six times higher power density than that of a previously reported Square Plate motor.
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a Square Plate piezoelectric linear motor operating in two orthogonal and isomorphic face diagonal bending modes
IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control, 2014Co-Authors: Zhijiang Chen, Guoxi Liu, Shuxiang DongAbstract:We report a piezoelectric linear motor made of a single Pb(Zr,Ti)O3 Square-Plate, which operates in two orthogonal and isomorphic face-diagonal-bending modes to produce precision linear motion. A 15 × 15 × 2 mm prototype was fabricated, and the motor generated a driving force of up to 1.8 N and a speed of 170 mm/s under an applied voltage of 100 Vpp at the resonance frequency of 136.5 kHz. The motor shows such advantages as large driving force under relatively low driving voltage, simple structure, and stable motion because of its isomorphic face-diagonal-bending mode.
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A Square-Plate ultrasonic linear motor operating in two orthogonal first bending modes
IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control, 2013Co-Authors: Zhijiang Chen, Xiaotian Li, Jianguo Chen, Shuxiang DongAbstract:A novel Square-Plate piezoelectric ultrasonic linear motor operated in two orthogonal first bending vibration modes (B1) is proposed. The piezoelectric vibrator of the linear motor is simply made of a single PZT ceramic Plate (sizes: 15 × 15 × 2 mm) and poled in its thickness direction. The top surface electrode of the Square ceramic Plate was divided into four active areas along its two diagonal lines for exciting two orthogonal B1 modes. The achieved driving force and speed from the linear motor are 1.8 N and 230 mm/s, respectively, under one pair orthogonal voltage drive of 150 Vp-p at the resonance frequency of 92 kHz. The proposed linear motor has advantages over conventional ultrasonic linear motors, such as relatively larger driving force, very simple working mode and structure, and low fabrication cost.
