American Journal of Computational and Applied Mathematics

American Journal of Computational and Applied Mathematics is a peer-reviewed international journal. This journal publishes significant research papers from all branches of applied mathematical and computational sciences. It publishes original papers of high scientific value in all areas of computational and applied mathematics.

Arun Gupta

Editorial Board Member of American Journal of Computational and Applied Mathematics

Associate Professor, M. S. College , Saharanpur, India

Research Areas

Elasticity theory and Vibration of Plates

Education

1985Ph.D.Maths, University Of Roorkee, Roorkee, India
1981 M.Sc. Maths, University Of Roorkee, Roorkee, India

Experience

1983-1985Lecturer, Maths, At Pg College, India
1985-1987Research Associate, Ugc, New Delhi, India
1987-1988Lecturer, Maths At Deemed University, Agra, India
1988-1988Researcher By Dst, India At C.B.R.I, Roorkee, India
1988-1989Lecturer, Maths, At Pg College In India
1990-2000Lecturer, Maths At M.S.College (Pg College), Saharanpur (U.P.), India
2000-presentAssociate Professor, M.S.College (Pg College), Saharanpur (U.P.), India

Publications: Conferences/Workshops/Symposiums/Journals/Books

[1]  Thermal effect of frequencies of an orthotropic rectangular plate of linearly varying thickness, J.Sound and Vibration (1983), 90(3), 325-331 (U.K.).
[2]  Thermal effect on axisymmetric vibration of an orthotropic circular plate of variable thickness, A.I.A.A. Journal (1984), 22(7), 1015-1017 (U.S.A.).
[3]  Vibrations of an orthotropic elliptic plate of non-uniform thickness and temperature, J.Sound and Vibration (1984), 96(1), 29-35 (U.K.).
[4]  Effect of thermal gradient on frequencies of an orthotropic rectangular plate whose thickness varies in two-directions, J.Sound and Vibration (1985), 98(2), 257-262 (U.K.).
[5]  Harmonic temperature effect on vibrations of an orthotropic plate of varying thickness, A.I.A.A. Journal (1985), 23(4), 633-636 (U.S.A.).
[6]  Thermal effect on axisymmetric vibrations of an orthotropic circular plate of parabolically varying thickness, Indian J.Pure and App. Mathematics (1985) 16(5), 537-545 (India).
[7]  Harmonic temperature effect on axisymmetric vibrations of an orthotropic circular plate of variable thickness, Proc. of the Workshop on ‘Solid Mechanics’ (March 13 to 16, 1985), 47-52, Department of Mathematics, University of Roorkee, Roorkee (India).
[8]  Effect of exponential temperature variation on frequencies of an orthotropic rectangular plate of exponentially varying thickness, Proc. of the Workshop on ‘Computer Application in Continum Mechanics’ (March 11 to 13, 1986), 183-188, Department of Mathematics, University of Roorkee, Roorkee (India).
[9]  Thermal effect on vibration of viscoelastic elliptic plate of variable thickness, Presented and Published in International Conference on ‘Modelling and Simulation’ (Oct. 14 to 16, 1987), 424-429 (Australia).
[10]  Vibration analysis of viscoelastic circular plate subjected to thermal gradient, Accepted in International Conference on ‘Modelling and Simulation’, Cario (Egypt), March 2 to 4, 1987 and Published in ‘Modelling, Simulation and Control, B’, 15(1), 17-31 (1988).
[11]  Vibration of viscoelastic rectangular plate with linearly thickness variations in both directions, J.Sound and Vibration (2007), 301(3-5), 450-457 (U.K.).
[12]  Thermal effect on vibration of non-homogeneous orthotropic rectangular plate having bi-directional parabolically varying thickness, Proceeding of International Conference in World Congress on Engineering and Computer Science 2007 , San Francisco(USA), 24-26 October, 2007, 784-787.
[13]  Vibration of visco-elastic orthotropic parallelogram plate with linearly thickness variation, Proceeding of International Conference in World Congress on Engineering and Computer Science 2007, San Francisco (USA), 24-26 October, 2007, 800-803.
[14]  Study the effect of temperature on vibration of visco-elastic orthotropic plate of variable thickness, Present in International Conference on Frontier of Mathematics and Applications 2008, University of Burdwan, Burdwan (India), 16-18 January, 2008.
[15]  Thermal effect on vibration of non-homogeneous visco-elastic rectangular plate of linearly varying thickness, Meccanica (2008), 43(1), 47-54 (Italy).
[16]  Thermal effect on vibration of clamped visco-elastic rectangular plate whose thickness varies as linearly in one and parabolically in another direction, Proceeding of the third International Conference on Mathematical Sciences- ICM 2008, Department of Mathematical Science, United Arab Emirates University ( UAE), 3-6 March, 2008, 80-94.
[17]  Thermal effect on vibration of clamped visco-elastic rectangular plate with exponentially thickness variation in both directions, Present in 7th AIMS International Conference on Dynamical Systems, Differential Equations & Applications 2008, University of Texas, Arlington (USA), 18-21 May, 2008.
[18]  Study of the effect of thermal gradient on free vibration of clamped visco-elastic rectangular plate with linearly thickness variation in both directions, Meccanica (2008), 43(4), 449-458 (Italy).
[19]  Vibration of clamped visco-elastic rectangular plate with parabolic thickness variations, Journal of Shock and Vibration (2008), 15(6), 713-723 (USA).
[20]  Effect of exponential temperature variation on vibration of orthotropic rectangular plate with linearly thickness variation in both directions, Pragyan-IT, IMS, Dehradun (Dec.2008), 6(2), 39-45 (India).
[21]  Free vibration of clamped visco-elastic rectangular plate having bi-direction exponentially thickness variations, Journal of Theoretical and Applied Mechanics (2009), 47(2), 457-471(Poland).
[22]  Effect of thermal gradient on vibration of non-homogeneous visco-elastic elliptic plate of variable thickness, Meccanica (2009), 44(5), 507-518 (Italy).
[23]  Thermal effect on vibration of orthotropic rectangular plate with parabolic thickness variations, Present in IRF’2009 – 3rd International Conference on Integrity, Reliability and Failure, Porto, 20-24 July, 2009 ( Portugal).
[24]  Effect of thermal gradient on free vibration of non-homogeneous visco-elastic rectangular plate of parabolically varying thickness, Acta Technica CSAV (2009), 54(4), 359-374 (Czech Republic).
[25]  Exponentially thermal effect on vibration of non-homogeneous rectangular plate with linearly thickness variations , Presented in National Seminar on Computational Mathematics & Operation Research, B.K.Birla Institute of Engineering & Technology, Pilani, India (28-29 November, 2009).
[26]  Effect of thermal gradient on vibrations of a non-homogeneous rectangular plate having bi-direction linearly thickness variations , Pragyan-IT, IMS, Dehradun (June2009), 7(1) , 8-14 (India).
[27]  Thermal effect on vibration of clamped visco-elastic rectangular plate with parabolic thickness variation in both directions, J. Shock and Vibration (2010), 17(1), 93-105 (USA).
[28]  Vibration of non-homogeneous visco-elastic circular plate of linearly varying thickness in steady state temperature field , Journal of Theoretical and Applied Mechanics (2010), 48(1), 255-266(Poland).
[29]  Study of thermal gradient effect on vibration of a non-homogeneous orthotropic rectangular plate having bi-direction linearly thickness variations, Meccanica (2010), 45(3), 393-400 (Italy).
[30]  Study of mom-homogeneity on free vibration of orthotropic visco-elastic rectangular plate of parabolic varying thickness), Advanced Studies in Theoretical Physics (2010), 4(10), 467-486(Bulgaria).
[31]  Free transverse vibrations of orthotropic visco-elastic rectangular plate with continuously varying thickness and density, Acta Technica CSAV (2010), 55(2), 113-129 (Czech Republic).
[32]  Vibration of visco-elastic parallelogram plate with parabolic thickness variation, Applied Mathematics (2010), 1(2), 128-136 (USA).
[33]  Vibration analysis of visco-elastic rectangular plate with thickness varies linearly in one and parabolically in other direction, Advanced Studies in Theoretical Physics (2010), 4(15), 743-758(Bulgaria).
[34]  Effect of non-homogeneity on thermally induced vibration of orthotropic visco- elastic rectangular plate of linearly varying thickness, Applied Mathematics (2010), 1(4), 326-333 (USA).
[35]  Study the thermal gradient effect on frequencies of a trapezoidal plate of linearly varying thickness, Applied Mathematics (2010), 1(5), 357-365(USA).
[36]  Thermally induced vibration of orthotropic trapezoidal plate of linearly varying thickness, Journal of Vibration and Control (2011), 17(10), 1591-1598 (USA).
[37]  Vibrations of non-homogeneous rectangular plate of variable thickness in both directions with thermal gradient effect, International Journal of Applied Mathematics and Mechanics( IJAMM )(2010), 6 (16), 19-37.
[38]  Thermal effect on free vibration of non-homogeneous orthotropic visco-elastic rectangular plate of parabolically varying thickness, Applied Mathematics (2010), 1(6), 456-463(USA).
[39]  Thermal effect on vibrations of parallelogram plate of linearly varying thickness, Advanced Studies in Theoretical Physics (2010), 4(17), 817-826(Bulgaria).
[40]  Vibration of visco-elastic orthotropic parallelogram plate with parabolically thickness variation , IJAMES (2010), 4(2), 119-132 .
[41]  Vibration of visco-elastic orthotropic parallelogram plate with linearly thickness variation in both directions, International Journal of Acoustics and Vibration (2011), 16(2), 72-80.
[42]  Study the non-homogeneity effect on vibration of orthotropic visco-elastic rectangular plate of linearly varying thickness, International Review of Pure and Applied Mathematics ) (2010), 6(2), 235-248.
[43]  Vibration study of visco-elastic parallelogram plate of linearly varying thickness, International Journal of Engineering and Interdisciplinary Mathematics(2010), 2(1), 21-29.
[44]  Study the effect of thermal gradient on transverse vibration of non-homogeneous orthotropic trapezoidal plate of parabolically varying thickness, Applied Mathematics (2011), 2(1), 1-10(USA).
[45]  Thermal effect on vibration of orthotropic rectangular plate with parabolic thickness variations, Acta Technica CSAV (2010), 55(3) , 315-325(Czech Republic ).
[46]  Thermal effect on vibration of parallelogram plate of bi-directional linearly varying thickness, Applied Mathematics (2011), 2(1), 33-38(USA).
[47]  Vibration of visco-elastic parallelogram plate with linearly thickness variations in both directions , Journal of Experimental & Applied Mechanics(2010), 1(1), 28-49(India).
[48]  Free vibration of non-homogeneous orthotropic visco-elastic circular plate of linearly varying thickness, Acta Technica CSAV (2010), 55(4) , 401-417(Czech Republic ).
[49]  Free vibration analysis of non-homogeneous orthotropic visco-elastic elliptic plate of non-uniform thickness, International Journal of Applied Mathematics and Mechanics( IJAMM )(2011), 7 (6), 1-18.
[50]  Thermal gradient effect on vibrations of non-homogeneous rectangular plate having continuously parabolically varying thickness in both directions, Journal of Experimental & Applied Mechanics(2011), 2(1), 38-46(India).
[51]  Thermal effect on vibration of non-homogeneous trapezoidal plate of linearly varying thickness , IJAMM (2011), 7(20), 1-17.
[52]  Free Vibration analysis of non-homogeneous visco-elastic circular plate with varying thickness subjected to thermal gradient , Acta Technica CSAV(2011), 56(2), 217-232.
[53]  Transverse vibration of non-homogeneous orthotropic visco-elastic circular plate of parabolic varying thickness , Mathematical Method in Applied Sciences (2011), 34, 2065-2076.