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Search Results: 1 - 10 of 9016 matches for " Arun Gupta "
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Effect of Non-Homogeneity on Thermally Induced Vibration of Orthotropic Visco-Elastic Rectangular Plate of Linearly Varying Thickness  [PDF]
Arun Kumar Gupta, Pooja Singhal
Applied Mathematics (AM) , 2010, DOI: 10.4236/am.2010.14043
Abstract: The analysis presented here is to study the effect of non-homogeneity on thermally induced vibration of orthotropic visco-elastic rectangular plate of linearly varying thickness. Thermal vibrational behavior of non-homogeneous rectangular plates of variable thickness having clamped boundary conditions on all the four edges is studied. For non–homogeneity of the plate material, density is assumed to vary linearly in one direction. Using the method of separation of variables, the governing differential equation is solved. An approximate but quite convenient frequency equation is derived by using Rayleigh-Ritz technique with a two-term deflection function. Time period and deflection at different points for the first two modes of vibration are calculated for various values of temperature gradients, non- homogeneity constant, taper constant and aspect ratio. Comparison studies have been carried out with non-homogeneous visco-elastic rectangular plate to establish the accuracy and versatility.
Study the Thermal Gradient Effect on Frequencies of a Trapezoidal Plate of Linearly Varying Thickness  [PDF]
Arun Kumar Gupta, Pragati Sharma
Applied Mathematics (AM) , 2010, DOI: 10.4236/am.2010.15047
Abstract: In this paper, effect of thermal gradient on vibration of trapezoidal plate of varying thickness is studied. Thermal effect and thickness variation is taken as linearly in x-direction. Rayleigh Ritz technique is used to calculate the fundamental frequencies. The frequencies corresponding to the first two modes of vibrations are obtained for a trapezoidal plate for different values of taper constant, thermal gradient and aspect ratio. Results are presented in graphical form.
Thermal Effect on Free Vibration of Non-Homogeneous Orthotropic Visco-Elastic Rectangular Plate of Parabolically Varying Thickness  [PDF]
Arun Kumar Gupta, Pooja Singhal
Applied Mathematics (AM) , 2010, DOI: 10.4236/am.2010.16060
Abstract: A simple model presented here is to study the thermal effect on vibration of non-homogeneous orthotropic visco-elastic rectangular plate of parabolically varying thickness having clamped boundary conditions on all the four edges. For non-homogeneity of the plate material, density is assumed to vary linearly in one direction. Using the separation of variables method, the governing differential equation has been solved for vibration of non-homogeneous orthotropic viscoelastic rectangular plate. An approximate frequency equation is derived by using Rayleigh-Ritz technique with a two-term deflection function. Results are calculated for time period and deflection at different points, for the first two modes of vibration, for various values of temperature gradients, non-homogeneity constant, taper constant and aspect ratio and shown by graphs.
Study the Effect of Thermal Gradient on Transverse Vibration of Non-Homogeneous Orthotropic Trapezoidal Plate of Parabolically Varying Thickness  [PDF]
Arun K. Gupta, Shanu Sharma
Applied Mathematics (AM) , 2011, DOI: 10.4236/am.2011.21001
Abstract: The present paper deals with the effect of linearly temperature on transverse vibration of non-homogeneous orthotropic trapezoidal plate of parabolically varying thickness. The deflection function is defined by the product of the equations of the prescribed continuous piecewise boundary shape. The non homogeneity of the plate is characterized by taking linear variation of the Young's modulus and parabolically variation of the density of the material. The non homogeneity is assumed to arise due to the variation in the density of the plate material and it is taken as parabolically. Rayleigh Ritz method is used to evaluate the fundamental frequencies. The equations of motion, governing the transverse vibrations of orthotropic trapezoidal plates, are derived with boundary condition clamped-simply supported-clamped-simply supported. Frequencies corresponding to first two modes of vibration are calculated for the trapezoidal plate for various combinations of the parameters of the non-homogeneity, thermal gradient, taper constant and for different values of the aspect ratios and shown by figures. All The results presented here are entirely new and are not found elsewhere. Comparison can only be made for homogeneous plates, and in that cases the results have been compared with those found in the existing literatures and are in excellent agreement.
Vibration of Visco-Elastic Parallelogram Plate with Parabolic Thickness Variation  [PDF]
Arun Kumar Gupta, Anuj Kumar, Yogesh Kumar Gupta
Applied Mathematics (AM) , 2010, DOI: 10.4236/am.2010.12017
Abstract: The main objective of the present investigation is to study the vibration of visco-elastic parallelogram plate whose thickness varies parabolically. It is assumed that the plate is clamped on all the four edges and that the thickness varies parabolically in one direction i.e. along length of the plate. Rayleigh-Ritz technique has been used to determine the frequency equation. A two terms deflection function has been used as a solution. 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 assumption of small deflection and linear visco-elastic properties of “Kelvin” type are taken. We have calculated time period and deflection at various points for different values of skew angles, aspect ratio and taper constant, for the first two modes of vibration. Results are supported by tables. Alloy “Duralumin” is considered for all the material constants used in numerical calculations
Rabindranath Tagore in Indonesia. An experiment in bridge-building
Arun Das Gupta
Bijdragen tot de Taal-, Land- en Volkenkunde , 2002,
Abstract:
Gender issues: Why I was not born as a son?
Aggarwal Arun,Gupta Neeru
Indian Journal of Community Medicine , 2007,
Abstract:
Ankyloblepheron filiforme adnatum-A case report
Mathur Arun,Gupta Alka
Indian Journal of Ophthalmology , 1990,
Abstract: A rare case of Ankyloblepheron Filiforme Adnatum in a new born is presented.
Feasibility study of IMNCI guidelines on effective breastfeeding in a rural area of north India
Gupta Madhu,Aggarwal Arun
Indian Journal of Community Medicine , 2008,
Abstract:
Pneumatosis Cystoides Intestinalis
Subhash Bhardwaj, Arun Gupta
JK Science : Journal of Medical Education & Research , 1999,
Abstract: Pneumatosis cystoides intestinalis is a rare condition. Presented here is a case report of apatient who was admitted with acute abdomen and was operated upon. The gross morphologyand histological features of the specimen were consistent with Pneumatosis cystoides intestinalis.
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