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JOURNALS || ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS) [ISSN: 2455-7064 ]
APPLICATION OF NOVEL INTEGRAL TRANSFORM: GUPTA TRANSFORM TO MECHANICAL AND ELECTRICAL OSCILLATORS

Author Names : Rahul Gupta
Page No. : 04-07  Volume 4 Issue 1
Article Overview

In this paper, the responses of mechanical and electrical oscillators are obtained by the application of a novel integral transform called Gupta Transform. This paper proposed the Gupta Transform as a novel approach for analyzing the mechanical and electrical oscillators. Like other integral Transforms or methods or approaches, the Gupta Transform would also present a simple and effective mathematical tool for obtaining the responses of mechanical and electrical oscillators.

Keywords: Mechanical and Electrical oscillators, Response, Gupta Transform.

Reference

[1] Rahul Gupta, Rohit Gupta, Dinesh Verma, Propounding a New Integral Transform: Gupta Transform with Applications in Science and Engineering, International Journal of Scientific Research in Multidisciplinary Studies, volume 6, issue 3, March (2020), pp. 14-19.

[2] Fundamentals of Physics by Dr. Robert Resnick and David Halliday, 6th edition, Publisher: Wiley India Pvt Ltd.

[3] Mathematical physics by E. Butkov, Addison-Wesley Pub Co, 1968.

[4] Rohit Gupta, Rahul Gupta, Sonica Rajput, Analysis of Damped Harmonic Oscillator by Matrix Method, International Journal of Research and Analytical Reviews (IJRAR), Volume 5, Issue 4, October 2018, pp. 479-484.

[5] Murray R. Spiegel, Theory and Problems of Laplace Transforms, McGraw - Hill.

[6] Rahul Gupta, Rohit Gupta, Dinesh Verma, Application of Convolution Method to the Impulsive Response of A Lightly Damped Harmonic Oscillator, International Journal of Scientific Research in Physics and Applied Sciences ,Vol.7, Issue.3, June (2019) , pp.173-175.

[7] Rohit Gupta, Loveneesh Talwar, Rahul Gupta, Analysis of ?-?-? network circuit with steady voltage source, and with steady current source via convolution method, International journal of scientific & technology research, volume 8 Issue 11, November 2019, pp. 803-807.

[8] Network Analysis M. E. Van Valkenburg, 3rd Edition, Publisher: Pearson Education, 2015.

[9] Rohit Gupta, Rahul Gupta, Matrix method for deriving the response of a series ?- ?- ? network connected to an excitation voltage source of constant potential, Pramana Research Journal, Volume 8, Issue 10, 2018, pp. 120-128.

[10] Dinesh Verma, Yuvraj Singh, Rohit Gupta, Response of Electrical Networks with Delta Potential via Mohand Transform, International Research Journal of Innovations Engineering and Technology, volume 2, issue 2, February 2020, pp. 41-43.