Albert Science International Organization

ARTICLE DESCRIPTION: 

Rohit Gupta, Rahul Gupta, Analysis of damped mechanical and electrical oscillators by Rohit transform, ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS), 2020,4(1): 45-47.

^{1, 2} Lecturer of Physics, Department of Applied Sciences, Yogananda College of Engineering and Technology, Jammu

Doi: 10.2016-28457823;  

DOI Link :: http://doi-ds.org/doilink/12.2020-51768279/

Abstract:

In this paper, the damped mechanical and electrical oscillators are analyzed by the Rohit Transform. This paper brings up the Rohit Transform as a new mathematical approach for analyzing the damped mechanical and electrical oscillators. The Rohit Transform provides a new mathematical tool for obtaining the responses of damped mechanical and electrical oscillators and reveals that, like other integral transforms and approaches, it is also effective and simple.

Keywords: Damped Mechanical and Electrical Oscillators; Response; Rohit Transform.

[1] 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, pp.173-175, June (2019).

 [2] Rohit Gupta, Rahul Gupta, Sonica Rajput, Convolution Method for the Complete Response of a Series ?-? Network Connected to an Excitation Source of Sinusoidal Potential, International Journal of Research in Electronics And Computer Engineering, 7(1), 2019, pp. 658-661.

[3] 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.

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[6] Murray R. Spiegel, Theory and Problems of Laplace Transforms, Schaum's outline series, McGraw– Hill.

[7] Rohit Gupta, Anamika Singh, Rahul Gupta, Response of Network Circuits Connected to Exponential Excitation Sources, International Advanced Research Journal in Science, Engineering and Technology, Vol. 7, Issue 2, February 2020, pp.14-17.  

[8] Rahul Gupta and Rohit Gupta, Impulsive Responses of  Damped Mechanical and Electrical Oscillators, International Journal of Scientific and Technical Advancements, 6(3), 2020, pp. 41-44.

[9] 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.

[10] Rohit Gupta, Rahul Gupta, Sonica Rajput, Response of a parallel ?- ?- ? network connected to an excitation source providing a constant current by matrix method, International Journal for Research in Engineering Application & Management (IJREAM), Vol. 4, Issue 7, Oct 2018, pp. 212-217.

[11] 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, 8(10), 2018: 120-128.

[12] Rohit Gupta, Rahul Gupta, Sonica Rajput, Response of a parallel ?- ?- ? network connected to an excitation source providing a constant current by matrix method, International Journal for Research in Engineering Application & Management (IJREAM), 4(7), Oct. 2018, pp. 212-217.

 [13] Rohit Gupta, Loveneesh Talwar, Dinesh Verma, Exponential Excitation Response of Electric Network Circuits via Residue Theorem Approach, “International Journal of Scientific Research in Multidisciplinary Studies”, 6(3), 2020, pp. 47-50.

[14] Rahul Gupta, Rohit Gupta, Dinesh Verma, Application of Novel Integral Transform: Gupta Transform to Mechanical and Electrical Oscillators, “ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS)”, Volume 4, Issue 1, March 2020, pp. 04-07.

[15] Rohit Gupta, On novel integral transform: Rohit Transform and its application to boundary value problems, “ASIO Journal of Chemistry, Physics, Mathematics and Applied Sciences (ASIO-JCPMAS)”, Volume 4, Issue 1, 2020, pp. 08-13.

[16] Rohit Gupta, Rahul Gupta, Dinesh Verma, Solving Schrodinger equation for a quantum mechanical particle by a new integral transform: Rohit Transform, “ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS)”, Volume 4, Issue 1, 2020, pp. 32-36.

[17] Rohit Gupta, Rahul Gupta, Analysis of RLC circuits with exponential excitation sources by a new integral transform: Rohit Transform, “ASIO Journal of Engineering & Technological Perspective Research (ASIO-JETPR)”, Volume 5, Issue 1, 2020, pp. 22-24.

[18] Anamika, Rohit Gupta, Analysis Of Basic Series Inverter Via The Application Of  Rohit Transform, International Journal of Advance Research and Innovative Ideas in Education, Vol.-6, Issue-6, 2020, pp. 868-873.

[19] Loveneesh Talwar, Rohit Gupta, Analysis of Electric Network Circuits with Sinusoidal Potential Sources via Rohit Transform, International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering (IJAREEIE), Volume 9, Issue 11, November 2020, pp. 3929-3023.

[20] Neeraj Pandita, and Rohit Gupta. Analysis Of Uniform Infinite Fin Via Means Of Rohit Transform, International Journal Of Advance Research And Innovative Ideas In Education, Volume 6, Issue 6, 2020, pp. 1033-1036.