Dr. Roshan Lal Professor, Department of Mathematics I.I.T. Roorkee

Transcription

1 Dr. Roshan Lal Professor, Department of Mathematics I.I.T. Roorkee 1. Father s Name : Shri Prithvi Singh Saini 2. Date of birth : July 6 th, Nationality : Indian 4. Official address : Department of Mathematics Indian Institute of Technology Roorkee , Uttarakhand Permanent address : 202/6, Saraswati Kunj Indian Institute of Technology Roorkee , Uttarakhand 5. Fax : rlatmfma@iitr.ac.in 7. Telephone number : (R) (O) Mob: Academic Qualification: (i) M.Sc. (Applied Maths) 1973, First Division (with Hons), University of Roorkee, Roorkee (presently known as I.I.T.Roorkee). (ii) Ph.D. (Maths) 1979/80, University of Roorkee, Roorkee (presently known as I.I.T. Roorkee). Ph.D. Thesis Entitled: Vibrations of Elastic Plates of Variable Thickness. 9. Specialized Professional Competence : (i) Research, Research guidance: Theory of Elasticity and Vibration, Numerical Methods, Numerical Solution of Hyperbolic-Type Partial Differential Equations.

2 (ii) Teaching: (a) UG All courses of Engineering Mathematics for B.E./ B. Tech. (b) PG Mechanics, Theory of Elasticity, Theory of Vibration, Theory of Differential Equations, Numerical Methods, Advanced Numerical Analysis, etc. for M.Sc. / M.C.A. / M. Phil. / Pre-Ph.D. 10. Professional Experience: Teaching & Research (i) Teaching : 40 years (i) Forty years of teaching to B.E., M.E., MCA, B. Tech., M. Tech., M.Sc., M. Phil. and Pre-Ph.D. classes of University of Roorkee presently known as I.I.T. Roorkee. (ii) Research : 40 years (i) On vibration analysis of uniform / varying thickness plates of composite materials. Vibration of sandwich, orthotropic / non-homogeneous and functionally graded plates under other complicating effects like thermal / foundations etc. 11. Foreign Visits : (i) Visited IRAQ on a teaching assignment in 1989/90 at University of technology,baghdad (ii) Visited University of Kaiserslautern, Germany under DAAD for active participation in Industrial Mathematics in 2002/ Participation in seminar/workshop/symposium outside Institute: (i) (ii) (iii) Participated in the Workshop on Industrial Mathematics held at Hamdard University Hamdard Nagar, Delhi-62 in collaboration with University of Roorkee from Feb , Attended a National Seminar-Cum-Exhibition on The Environmental Noise-Emerging Trends & Technology organized by JOST S Engg. Company Limited together with B & K, DENMARK held at Windsor Hall, Hotel Le Meriden, New Delhi-1,on October 11 th, Attended the Technical Seminar on New Applications in Acoustics Engineering organized by JOST S Engg.Company Limited together with Bruel and Kjaer, DENMARK held at Hotel Hyatt Regency, New Delhi-66, on April 4 th, Number of papers published : 88 (List of Research Publications) 13. Guidance of Ph.D. Thesis : 10 (i) (ii) NINE candidates have been awarded Ph.D. degree under my supervision on the Vibration analysis of non-uniform plates with other complicating effects. FOUR candidates are working on Vibration of non-homogeneous, polar orthotropic non-homogeneous, FGM and sandwich plates of varying thickness.

3 14. Guidance of M. Phil. /M. Sc/MCA dissertation/project : (i) (ii) (iii) (iv) Seven M. Phil. candidates have completed dissertation. Nineteen candidates have completed M. Sc dissertation. Eleven candidates have completed MCA dissertation. Six candidates have completed MCA projects. (Please see [C]) 15. Member of learned societies: (i) (ii) (iii) Founder member of Indian Society of Industrial and Applied Mathematics (ISIAM). Life members of Indian Mathematical Society (IMS). Life member of Indian Association for Computational Mechanics (Ind. ACM) 16. Reviewer of International and National Journals: (i) Journal of Applied Mechanics (ASME), U.S.A. (ii) Journal of Sound and Vibration (JSV), U.K. (iii) Indian Journal of Pure and Applied Mathematics. (iv) International Journal of Solids and Structures ( IJSS ),U.S.A (v) International Journal of Applied Mechanics, U.K (vi) Shock and Vibration, (vii) International Journal of Mechanical Sciences, (viii) Journal of Vibration and Control, Details of Ph. D. Thesis APPENDIX [C] Title Research Scholar Year 1. Some problems in vibration of plates Chandra Prabha Verma Vibration of non-uniform composite plates S. K. Jain Free vibration analysis of elastic plates Shuchita Sharma Free vibration studies on non-homogeneous Seema Sharma 2006 circular and annular plates 5. Free transverse vibrations of rectangular and Dhanpati 2007 circular orthotropic plates

4 6. Some problems on free vibration of elastic Yajuvindra Kumar 2010 plates 7. Vibration studies of elastic plates of variable Shivani 2013 thickness 8. Numerical solution of some problems on Neelam 2014 vibration of plates 8. Some problems on vibration of sandwich Renu Saini 2016 plates 9. Vibration of composite circular/ annular plates Rashmi Rani 2016 of varying thickness 10. Some problems on vibration of composite elastic Neha Ahlawat Thesis submitted Plates 11. Numerical solution of some vibration problems Rahul Saini Contd. 12. Some problems on vibrations of non-uniform Chinika Dangi Contd. composite plates 13. Numerical solution of some problems on vibration Kumar Rajeev Ranjan Contd. of plates and shells Details of M. Phil Dissertations Title Student s Name Year 1. Axisymmetric vibrations of non-homogeneous Mukesh Kumar 1999 polar orthotropic annular plates of variable thickness. 2. Vibration of non-uniform rectangular Chanchal Goel 1997 orthotropic plates on Winkler s foundation 3. Vibration of non-uniform rectangular orthotropic Ms. Reena 1994 Plates 4. Vibration of non-uniform rectangular plates Ms. Sangeeta Rastogi 1994 on Winkler s foundation 5. Axially symmetric vibrations of polar Ms. Ritu Sagar 1991

5 orthotropic circular disc of uniform thickness on elastic foundation. 6. Dynamic response of non-uniform sandwich Ms. Alka Kapoor 1988 plates 7. Dynamic response of non-uniform plates R. Rajagopal 1986 Details of M.Sc. Dissertations Title Student s Name Year 1. Interactive voice response & web- based Sunahari Lal 2011 automation of recharge voucher distribution. 2. A study of transverse vibrations of rectangular Rashmi Savita 2011 plate using Chebyshev polynomials. 3. A study of axisymmetric vibrations of annular Gopal priyadarshi 2011 plates using splines. 4. Transverse vibrations of non-homogeneous Priyanka Saini 2005 rectangular plates of variable thickness 5. Axisymmetric vibrations of non-homogeneous Geeta kumari 2005 annular plates of non-uniform thickness 6. A study of vibrations of rectangular plates Priyanka Saini A study of axisymmetric vibrations of annular plates Geeta Kumari Vibration of polar orthotropic non-homogeneous Ruchi Mittal 2004 annular plates. 9. Vibration of non-homogeneous orthotropic Sarita 2004 rectangular plates. 10. Axisymmetric vibrations of circular non-homogeneous Neesha Devi 2004 plates. 11. Axisymmetric vibrations of non-homogeneous Ruchi Mittal 2003 circular annular plates. 12. Vibration and buckling of non-homogeneous Neesha Devi 2003 rectangular plates.

6 13. Vibration and buckling of non-homogeneous Anuj Kumar 2001 rectangular plates. 14. Vibration of non-homogeneous polar orthotropic Sachin kalra 2001 annular plates on Winkler s foundation. 15. Vibration of non-homogeneous rectangular Brijesh Chauhan 2001 plates. 16. Axisymmetric vibrations of non-homogeneous Neetu Agnihotri 2001 circular plates. 17. Vibration of a non-homogeneous rectangular plate Anuj Kumar 2000 on non-uniform elastic foundation. 18. Vibration of non-uniform orthotropic rectangular Yajuvindra Kumar 1999 plates with continuously varying density. 19. Vibration of rectangular plates on non-uniform Preeti Gupta 1998 Winkler s foundation. Details of MCA Dissertations Title Student s Name Year 1. Filtration of subscribe and save orders Sidhant Kr. Kushwaha, Continuous deployment of alexandria Waseem Akram Modern adaptive web apps Vijay Pal Modelling and automation of distributed load Sanjeev Kumar 2016 balancing logistics 5. Customized client report for adjetter customer Vipul Dubey 2015 relationship management application 6. TROJAN static and dynamic analysis Kuldeep Tripathi Synchronization of client servers with Nagendra Kumar Yadav 2015 Zillious Central Repository 8. Improving quality of NVIDIA LINUX graphics Manoj Kumar 2013 driver using static analysis tool.

7 9. Creation of business reports using Chandra Shekhar 2013 JASPERREPORTS. 10. Development of payroll management utility Deoki Nandan Vishwakarma 2012 software. 11. Implementation of sale module in Electronic Vijay Kumar 2010 point of sale touch screen software. Details of MCA Projects Title Student s Name Year 1. Web application for blood bank management Sidhant Kr. Kushwaha, 2015 Waseem Akram, Vijay Pal 2. Minimizing file uploading and downloading Hement Kumar Singh, 2012 time in peer-to-peer networks Ravishankar Kumar, Mohd. Yusuf Khan RESEARCH PUBLICATIONS BY 1. R. Lal and R. Rani, On the radially symmetric vibrations of composite circular sandwich plates of quadratically varying thickness by harmonic differential quadrature method. Meccanica, 51, , R. Lal and R. Saini. Mode shapes and frequencies of thin rectangular plates with arbitrarily varying non-homogeneity along two concurrent edges. Journal of Vibration and Control, DOI: / , N. Ahlawat and R. Lal, Buckling and vibrations of multi-directional functionally graded circular plate resting on elastic foundation, Proc. of the 12 th Int. Conf. on Vibration Problems, 144, 85-93, N. Ahlawat and R. Lal, Axisymmetric vibrations of variable thickness functionally graded clamped circular plate, Proc. of the 5 th Int. Conf. on Soft Computing for Problem Solving (SocProS-2015), Advances in Intelligent Systems and Computing, 436, , 2016.

8 5. R. Lal and N. Ahlawat, Buckling and vibrations of functionally graded non-uniform circular plates resting on Winkler foundation. Latin American Journal of Solids and structures, 12(12), , R. Lal and N. Ahlawat, Buckling and vibrations of two-directional functionally graded circular plates subjected to hydrostatic in-plane force. Journal of Vibration and Control, DOI: / , R. Lal and N. Ahlawat, Axisymmetric vibrations and buckling analysis of functionally graded circular plates via differential transform method. European Journal of Mechanics A-Solids, 52, 85-94, N. Ahlawat and R. Lal, Buckling and vibration of functionally graded circular plate resting on elastic foundation, Proc. of Int. Conf. on recent trends in Mathematical Analysis and its Applications (ICRTMAA-2014), 143, , R. Lal and R. Saini, Transverse vibration of non-homogeneous rectangular Kirchhoff plates of variable thickness, Proc. of Int. Conf. on recent trends in Mathematical Analysis and its Applications (ICRTMAA-2014), 143, , R. Rani and R. Lal, Radially symmetric vibrations of exponentially tapered clamped circular sandwich plate using harmonic differential quadrature method, Proc. of Int. Conf. on recent trends in Mathematical Analysis and its Applications (ICRTMAA-2014), 143, , R. Lal and R. Rani. On radially symmetric vibrations of circular sandwich plates of nonuniform thickness. International Journal of Mechanical Sciences, 99, 29 39, R. Lal and R. Rani. On the radially symmetric vibrations of composite annular sandwich plates of quadratically varying thickness by harmonic differential quadrature method. Acta Mechanica, 226, , R. Lal and R. Saini. Buckling and vibration analysis of non-homogeneous rectangular Kirchhoff plates resting on two-parameter foundation. Meccanica, 50, , R. Lal and R. Saini, On the use of GDQ for vibration characteristic of non-homogeneous orthotropic rectangular plates of bilinearly varying thickness. Acta Mechanica, 226, , R. Lal and R. Rani, On radially symmetric vibrations of non-uniform annular sandwich plates, Thin-Walled Structures, 94, , S. Sharma, R. Lal, and Neelam, Effect of non-homogeneity on asymmetric vibrations of non-uniform circular plates, Journal of Vibration and Control, DOI: / , 2015.

9 17. S. Srivastava, S. Sharma, and R. Lal, Effect of foundation and non-homogeneity on the vibrations of polar orthotropic parabolically tapered circular plates, Applied Mathematics, 6(9), , R. Lal and R. Rani, Mode shapes and frequencies of radially symmetric vibrations of annular sandwich plates of variable thickness. Acta Mechanica, 225, , R. Lal and R. Rani, On the use of differential quadrature method in the study of free axisymmetric vibrations of circular sandwich plates of linearly varying thickness, Journal of Vibration and Control, DOI: / , R. Saini and R. Lal, Transverse vibration of non-homogeneous rectangular plates of variable thickness using GDQM, International Journal of Mathematical, Computational, Physical and Quantum Engineering, 8(9), , R. Saini and R. Lal, Transverse vibration of non-homogeneous rectangular plates using GDQM, Int. Conf. on Mathematics and Engineering Sciences (ICMES-2014), Mathematical Sciences International Research Journal, ISSN R. Rani and R. Lal, Axially symmetric vibrations of circular sandwich plates of linearly varying thickness, Proc. of the 3rd Int. Conf. on Soft Computing for Problem Solving (SocProS-2013), Advances in Intelligent Systems and Computing, 258, , R. Lal and R. Saini, Buckling and vibration of non-homogeneous rectangular plates subjected to linearly varying in-plane force, Shock and Vibration, 20, 1-16, R. Lal and Y. Kumar, Transverse vibrations of non-homogeneous rectangular plates with variable thicknesses, Mechanics of Advanced Materials and Structures, 20, , Y. Kumar and R. Lal, Prediction of frequencies of free axisymmetric vibration of twodirectional functionally graded annular plates on Winkler foundation, European Journal of Mechanics A/Solids, 42, , R. Saini and R. Lal, Buckling and vibration of non-homogeneous orthotropic rectangular plates with variable thickness using DQM, Proc. of the 2nd Int. Conference on Soft Computing for Problem Solving (SocProS-2012), Advances in Intelligent Systems and Computing, 236, , R. Lal and Y. Kumar, Characteristic orthogonal polynomials in the study of transverse vibrations of non-homogeneous rectangular orthotropic plates of bilinearly varying thickness, Meccanica, 47, , R. Lal and Y. Kumar, Boundary characteristic orthogonal polynomials in the study of transverse vibrations of non-homogeneous rectangular plates with bilinear thickness variation, Shock and Vibration, 19, , 2012.

10 29. Y. Kumar and R. Lal, Vibration of non-homogeneous orthotropic rectangular plates with bilinear thickness variation resting on Winkler foundation, Meccanica, 47, , S. Sharma, R. Lal and S. Srivastava, Effect of Pasternak foundation on axisymmetric vibration of polar orthotropic non-homogeneous circular plate of variable thickness, International Journal of Computational Mathematics and Numerical Simulation, 5, , S. Sharma, R. Lal, and Neelam, Asymmetric vibrations of non-homogeneous circular plates of variable thickness, International Journal of Contemporary Mathematics, 3, , S. Sharma, R. Lal, and Neelam, Free transverse vibrations of non-homogeneous circular plates of linearly varying thickness, Journal of International Academy of Physical Sciences, 15, , S. Sharma, S. Srivastava, and R. Lal, Free vibration analysis of circular plate of variable thickness resting on Pasternak foundation, Journal of International Academy of Physical Sciences, 15, , Y. Kumar and R. Lal, Buckling and vibration of orthotropic non-homogeneous rectangular plates with bilinear thickness variation Journal of Applied Mechanics (ASME), 78, , R. Lal and Y. Kumar, Rayleigh Ritz method in the study of transverse vibration of nonhomogeneous orthotropic rectangular plates of uniform thickness resting on Winkler foundation, Advances in Vibration Engineering, 10, , S. Sharma, U.S. Gupta and R. Lal, Effect of Pasternak Foundation on Axisymmetric Vibration of Polar Orthotropic Annular Plates of Varying Thickness, Jl. Vibration and Acoustics, ASME, 132(4), (1-13), R. Lal, Y. Kumar and U. S. Gupta, Transverse Vibrations of Non-homogeneous Rectangular Plates of Uniform Thickness using Boundary Characteristic Orthogonal Polynomials, Int. Jl. Appl. Math and Mech. 1(1), U. S. Gupta, R. Lal, and S. Sharma, Effect of Pasternak foundation on axisymmetric vibration of non-uniform polar orthotropic annular plates, Int. J. of Appl. Math and Mech. 4(5), 9-25, 2009.

11 39. Roshan Lal and Dhanpati, Effect of Non-homogeneity on Vibration of Orthotropic Rectangular Plates of Varying Thickness Resting on Pasternak Foundation, Jl. Vibration and Acoustics, ASME, 131, 1-9, U.S. Gupta, R. Lal and S. Sharma, Effect of Pasternak Foundation on Axisymmetric Vibration of Non-uniform Polar Orthotropic Annular Plate, Int. Jl. Appl. Math and Mech. 4 (5), 9-25, R. Lal and Dhanpati, Effect of Pasternak Foundation on Frequencies and Mode Shapes of Rectangular Plates under Varying In-plane Stresses by DQM, Int. Jl. Appl. Math and Mech. 4 (4), 22-38, R.Lal, Dhanpati and Yajuvindra Kumar, Buckling and Vibration of Non-homogeneous Orthotropic Rectangular Plates of Varying Thickness under Biaxial Compression, Int. Jl. Appl. Math and Mech. 4 (4), , Roshan Lal, Dhanpati and Yajuvindra, Effect of Pasternak Foundation and Varying In-plane Stresses on Vibration of Orthotropic Rectangular Plates by DQ Method, Proc. Conf. of Int. Conf. of Theoretical, Applied Computational and Experimental Mechanics (ICTACEM-2007), held at IIT Kharagpur, India, Dec , 2007, pp: Roshan Lal and Dhanpati, Buckling and Vibration of Orthotropic Rectangular Plates Subjected to Linearly Varying In-plane Stresses on Two Opposite Simply Supported Edges by Differential Quadrature Method, Proc. Conf. of Int. Conf. of Recent Developments in Structural Engineering (RDSE-2007), held at MIT Manipal, India, Aug. 30- Sept. 01, 2007, pp: R.Lal and Dhanpati, Quintic Splines in the Study of Buckling and Vibration of Nonhomogeneous Orthotropic Rectangular Plates with Variable Thickness, Int. J. Appl. Math and Mech. 3(3), 18-35, R. Lal and Dhanpati, Transverse Vibrations of Non-homogeneous Orthotropic Rectangular Plates of Variable Thickness: A Spline Technique, Jl. Sound and Vibration, U.K., 306(1-2), , 2007.

12 47. U.S. Gupta, R. Lal and Seema Sharma, Vibration of Non-homogeneous Circular Mindlin Plates with Variable Thickness, Jl. Sound and Vibration, U.K., 302(1-2), 1-17, U.S. Gupta, R. Lal and Seema Sharma, Vibration Analysis of Non-homogeneous Circular Plate of Non-linear Thickness Variation by Differential Quadrature Method, Jl. Sound and Vibration, U.K., 298(4-5), , U.S. Gupta, R. Lal and S. Sharma, Thermal Effect on Axisymmetric Vibration of Nonuniform Polar Orthotropic Circular Plates with Elastically Restrained Edge, Proc. Conf. of 2 nd Int. Congress on Computational Mechanics and Simulations (ICCMS-06), held at IIT Guwahati, Dec. 8-10, 2006, Vol. 1, pp: R. Lal and Shuchita Sharma, Axisymmetric Vibrations of Variable Thickness Moderately Thick Non-homogeneous Polar Orthotropic Annular Plates, Proc. Conf. of 2 nd Int. Congress on Computational Mechanics and Simulations (ICCMS-06), held at IIT Guwahati, Dec 8-10, 2006, Vol. 1, pp: R. Lal and Dhanpati, Quintic Splines in the Study of Buckling and Vibration of Nonhomogeneous Orthotropic Rectangular Plates with Variable Thickness, Proc. Conf. of 2 nd Int. Congress on Computational Mechanics and Simulations (ICCMS-06), held at IIT Guwahati, Dec 8-10, 2006, Vol. 1, pp: U.S. Gupta, R. Lal and S. Sharma, Axisymmetric Vibrations of Polar Orthotropic Annular Plate of Variable Thickness Resting on Pasternak Foundation, 71 st Annual Conference of Indian Mathematical Society, held at I.I.T. Roorkee, India, Dec , R. Lal and Dhanpati, Transverse Vibrations of Non-homogeneous Orthotropic Rectangular Plates of Variable Thickness: A Spline Technique, 71 st Annual Conference of Indian Mathematical Society, held at I.I.T. Roorkee, India, Dec , 2005.

13 54. R. Lal, U.S. Gupta and S. Sharma, Axisymmetric Vibrations of Non-homogeneous Annular Plate of Quadratically Varying Thickness, Proc. Conf. of International Conference on Advances in Applied Mathematics, held at Gulbarga University, Gulbarga, India, Feb , 2005, pp: R. Lal and Shuchita Sharma, Axisymmetric Vibrations of Isotropic Non-homogeneous Mindlin s Annular Plates, Proc. Conf. of International Conference on Advances in Applied Mathematics, held at Gulbarga University, Gulbarga, India, Feb , 2005, pp: R. Lal and U.S. Gupta, Chebyshev Polynomials in the Study of Axisymmetric Vibrations of Non-homogeneous Polar Orthotropic Plates of Variable Thickness, Proc. 3 rd Int. Conf. Advances in Structural Engineering and Mechanics (ASEM 04), held at Seoul, Korea, Sept. 2-4, 2004, pp: S2C R. Lal and Shuchita Sharma, Effect of Elastic Foundation on Axisymmetric Vibrations of Polar Orthotropic Non-homogeneous Annular Plates subjected to In-Plane Force, Proc. 3 rd Int. Conf. Advances in Structural Engineering and Mechanics (ASEM 04), held at Seoul, Korea, Sept. 2-4, 2004, pp: S2C R. Lal and Shuchita Sharma, Axisymmetric Vibrations of Non-homogeneous Polar Orthotropic Annular Plates of Variable Thickness, JL. SOUND AND VIBRATION (Academic Press), U.K. Vol. 272, No1-2, pp (2004). 59. R. Lal and Shuchita Sharma, Buckling and Vibrations of Polar Orthotropic Nonhomogeneous Annular Plates, Proc. Conf. of Indian Society of Mechanical Engineers, held at I.I.T Roorkee, Dec , 2003, pp: MD R. Lal, U.S. Gupta and Seema Sharma, Axisymmetric Vibrations of Non-homogeneous Polar Orthotropic Annular Plates of Variable Thickness Resting on an Elastic Foundation, Proc. Conf. of Indian Society of Mechanical Engineers, held at I.I.T Roorkee, Dec , 2003, pp: MD-074.

14 61. R. Lal, Transverse Vibrations of Orthotropic Non-uniform Rectangular Plates with Continuously Varying Density, INDIAN JL. PURE APPL. MATH., Vol. 34 No 4, pp (2002). 62. R. Lal, U.S. Gupta and C. Goel, Chebyshev Polynomials in the Study of Transverse Vibrations of Non-uniform Rectangular Orthotropic Plates, THE SHOCK AND VIBRATION DIGEST (Sage Science Press), U.S.A., Vol.33, No.2, pp (2001). 63. R. Lal, Axisymmetric Vibrations of Non-homogeneous Polar Orthotropic Annular Plates of Variable Thickness, Proc. Int. Conf. on Mathematical Modelling (Tata McGraw-Hill Ltd.), held at UOR, Roorkee, Jan , 2001, pp R. Lal, Transverse Vibrations of Non-homogeneous Rectangular Plates, Proc. Indo-US Workshop on Advances in Elasticity and Smart Structures (Phoenix Ltd.), held at UOR, Roorkee, Jan. 2-4, 2001, pp S.K. Jain, U.S. Gupta and R. Lal, Axisymmetric Vibrations of Circular Sandwich Plates with Core of Linearly Varying Thickness, Proc. Indo-US Workshop on Advances in Elasticity and Smart Structures (Phoenix Ltd.), held at UOR, Roorkee, Jan. 2-4, 2001, pp R. Lal, U.S. Gupta and Reena, Quintic Splines in the Study of Transverse Vibrations of Nonuniform Orthotropic Rectangular Plates, JL. SOUND AND VIBRATION (Academic Press), U.K., Vol.207, No.1, pp.1-13 (1997). 67. R.Lal, U.S. Gupta and S. Rastogi, Chebyshev Polynomials in the Study of Vibrations of Non-uniform Rectangular Plates, INDIAN JL. PURE APPL. MATH., Vol.27, No.10, pp (1996). 68. R. Lal, U.S. Gupta and Reena, Transverse Vibrations of Non-uniform Rectangular Orthotropic Plates on an Elastic Foundation, Proc. Conf. on Mathematics and its Applications in Engineering and Industry (Narosa Publications), held at UOR, Roorkee, Dec , 1996, pp

15 69. U.S. Gupta, R. Lal and R. Sagar, Effect of an Elastic Foundation on Axisymmetric Vibrations of Polar Orthotropic Mindlin Circular Plates, INDIAN JL. PURE APPL. MATH., Vol.25, No.12, pp (1994). 70. U.S. Gupta, S.K. JAIN and R. Lal, Axisymmetric Vibrations of Circular Sandwich Plates with Honeycomb core of Linearly Varying Thickness, Proc. Conf. on Vibration Problems of Mathematical Elasticity and Physics held at Jalpaiguri, Nov. 4-7, U.S. Gupta, R. Lal and S.K. Jain, Vibration and Buckling of Parabolically Tapered Polar Orthotropic Circular Plates on Elastic Foundation, INDIAN JL. PURE APPL. MATH., Vol.24, No.10, pp (1993). 72. S.K. Jain, U.S. Gupta and R. Lal, Frequencies and Mode Shapes of Annular Sandwich Plates with core of Linearly Varying Thickness, Proc. Conf. of Indian Society of Industrial and Applied Mathematics, held at UOR, Roorkee, Feb. 4-7, 1993, pp U.S. Gupta, R. Lal and S.K. Jain, Buckling and Vibrations of Polar Orthotropic Circular Plates of Linearly Varying Thickness Resting on an Elastic Foundation, JL. SOUND AND VIBRATION, (Academic Press) U.K., Vol.147, No.3, pp (1991). 74. U.S. Gupta, R. Lal and S.K. Jain, Effect of Elastic Foundation on Axisymmetric Vibrations of Polar Orthotropic Circular Plates of Variable Thickness, JL. SOUND AND VIBRATION (Academic Press), U.K., Vol. 139, No.3, pp (1990). 75. U.S. Gupta, R. Lal and C.P. Verma, Vibration and Buckling of Parabolically Tapered Polar Orthotropic Annular Plates on Elastic Foundation, INDIAN JL. PURE APPL. MATH., Vol.18, No.3, pp (1987). 76. U.S. Gupta, R. Lal and C.P. Verma, Buckling and Vibrations of Polar Orthotropic Annular Plates on Elastic Foundation Subjected to Hydrostatic Peripheral Loading, JL. SOUND AND VIBRATION (Academic Press), U.K., Volume 109, No.3, pp (1986).

16 77. U.S. Gupta, R. Lal and C.P. Verma, Buckling and Vibrations of Polar Orthotropic Annular Plates of Variable Thickness, JL. SOUND AND VIBRATION (Academic Press), U.K., Vol.104, No.3, pp (1986). 78. U.S. Gupta and R. Lal, Axisymmetric Vibrations of Polar Orthotropic Mindlin s Annular Plates of Variable Thickness, JL. SOUND AND VIBRATION (Academic Press), U.K., Vol. 98, No.4, pp (1985). 79. U.S. Gupta, R. Lal and C.P. Verma, Effect of an Elastic Foundation on Axisymmetric Vibrations of Polar Orthotropic Annular Plates of Variable Thickness, JL. SOUND AND VIBRATION (Academic Press), U.K., Vol.103, No.2, pp (1985). 80. R. Lal and U.S. Gupta, Axisymmetric Vibrations of Polar Orthotropic Annular Plates of Variable Thickness, JL. SOUND AND VIBRATION (Academic Press), U.K., Vol.83, No.2, pp (1982). 81. R. Lal and U.S. Gupta, Influence of Transverse Shear and Rotatory Inertia on Axisymmetric Vibrations of Polar Orthotropic Annular Plates of Parabolically Varying Thickness, INDIAN JL. PURE APPL. MATH., Vol.13, No.2, pp (1982). 82. U.S. Gupta and R. Lal, Buckling and Vibrations of Circular Plates of Parabolically Varying Thickness, INDIAN JL. PURE APPL. MATH., Vol.11, No.2, pp (1980). 83. U.S. Gupta and R. Lal, Axisymmetric Vibrations of Linearly Tapered Annular Plates under an In-plane Force, JL. SOUND AND VIBRATION (Academic Press), U.K., Vol. 64, No.2, pp (1979). 84. U.S. Gupta and R. Lal, Comments on Buckling and Vibrations of Circular Plates of Variable Thickness, JL. SOUND AND VIBRATION (Academic Press), U.K., Vol.63, No.2, pp (1979). 85. U.S. Gupta and R. Lal, Axisymmetric Vibrations of Linearly Tapered Annular Plates on Elastic Foundation, by Spline Method of Solution, JL. AERO. SOC. INDIA, Vol.31, No.1, pp (1979).

17 86. U.S. Gupta and R. Lal, Vibration and Buckling of Parabolically Tapered Circular Plates, INDIAN JL. PURE APPL. MATH., Vol.10, No.3, pp (1979). 87. U.S. Gupta and R. Lal, Transverse Vibrations of Non-Uniform Rectangular Plates on Elastic Foundation, JL. SOUND AND VIBRATION (Academic Press), U.K., Vol.61, No.1, pp (1978). 88. U.S. Gupta and R. Lal, Buckling and Vibrations of Circular Plates of Variable Thickness, JL. SOUND AND VIBRATION (Academic Press), U.K., Vol.58, No.4, pp (1978).