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Response of Undamped Oscillators Exposed to Rectangular Pulse Force

Rahul Gupta1 , Rohit Gupta2

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.2 , pp.10-14, Apr-2023


Online published on Apr 30, 2023


Copyright © Rahul Gupta, Rohit Gupta . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: Rahul Gupta, Rohit Gupta, “Response of Undamped Oscillators Exposed to Rectangular Pulse Force,” International Journal of Scientific Research in Physics and Applied Sciences, Vol.11, Issue.2, pp.10-14, 2023.

MLA Style Citation: Rahul Gupta, Rohit Gupta "Response of Undamped Oscillators Exposed to Rectangular Pulse Force." International Journal of Scientific Research in Physics and Applied Sciences 11.2 (2023): 10-14.

APA Style Citation: Rahul Gupta, Rohit Gupta, (2023). Response of Undamped Oscillators Exposed to Rectangular Pulse Force. International Journal of Scientific Research in Physics and Applied Sciences, 11(2), 10-14.

BibTex Style Citation:
@article{Gupta_2023,
author = {Rahul Gupta, Rohit Gupta},
title = {Response of Undamped Oscillators Exposed to Rectangular Pulse Force},
journal = {International Journal of Scientific Research in Physics and Applied Sciences},
issue_date = {4 2023},
volume = {11},
Issue = {2},
month = {4},
year = {2023},
issn = {2347-2693},
pages = {10-14},
url = {https://www.isroset.org/journal/IJSRPAS/full_paper_view.php?paper_id=3095},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRPAS/full_paper_view.php?paper_id=3095
TI - Response of Undamped Oscillators Exposed to Rectangular Pulse Force
T2 - International Journal of Scientific Research in Physics and Applied Sciences
AU - Rahul Gupta, Rohit Gupta
PY - 2023
DA - 2023/04/30
PB - IJCSE, Indore, INDIA
SP - 10-14
IS - 2
VL - 11
SN - 2347-2693
ER -

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Abstract :
In the paper, the response of an undamped or non-damped mechanical oscillator as well as a non-damped electrical oscillator exposed to a rectangular pulse force is obtained by the integral Gupta transform (GT). Generally, this problem has been treated by methods like Calculus or Laplace transforms. Also, some operational properties of the integral GT are discussed. A rectangular pulse force is usually hired for shock loading of short duration. This paper tenders a far-out way for fixing the response of a non-damped mechanical oscillator as well as a non-damped electrical oscillator exposed to a rectangular pulse force and reveals that GT is an effective tool for dealing with such problems

Key-Words / Index Term :
Response, Gupta transform, non-damped oscillator, Rectangular pulse

References :
[1] H.K. Dass. Mathematical Physics. Publisher: S. Chand & Company Ltd., 2014.
[2] 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, Vol. 6, Issue 3, pp. 14-19, March (2020).
[3] Rahul Gupta, Rohit Gupta, Dinesh Verma, Application of Novel Integral Transform: Gupta Transform to Mechanical and Electrical Oscillators, ASIO Journal of Chemistry, Physics, Mathematics and Applied Sciences (ASIO-JCPMAS), Vol. 4, Issue 1, pp. 04-07, 2020.
[4] 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, 2019.
[5] Murray R. Spiegel, Theory and Problems of Laplace Transforms, Schaum`s outline series, McGraw– Hill.
[6] 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), Vol. 4, Issue 1, pp. 08-13, 2020.
[7] Rahul Gupta and Rohit Gupta, Impulsive Responses of Damped Mechanical and Electrical Oscillators, International Journal of Scientific and Technical Advancements, Vol. 6, Issue 3, pp. 41-44, 2020.
[8] Rohit Gupta, Rahul Gupta, Sonica Rajput, Analysis of Damped Harmonic Oscillator by Matrix Method, International Journal of Research and Analytical Reviews (IJRAR), Vol. 5, Issue 4, pp. 479-484, 2018.
[9] Mohand M. Abdelrahim Mahgoub, Khalid Suliman Aboodh, Abdelbagy A. Alshikh. On The Solution of Ordinary Differential Equation with Variable Coefficients using Aboodh Transform, Advances in Theoretical and Applied Mathematics, Vol. 11, Issue 4, pp. 383-389, 2016.
[10] Gupta, R. Mechanically Persistent Oscillator Supplied With Ramp Signal. Al-Salam Journal for Engineering and Technology, Vol. 2, Issue 2, pp. 112–115, 2023. https://doi.org/10.55145/ajest.2023.02.02.014
[11] Rohit Gupta, Rahul Gupta, Sonica Rajput, Analysis of Damped Harmonic Oscillator by Matrix Method, Int. J. of Research and Analytical Reviews (IJRAR), 5(4), pp. 479-484, 2018.
[12] Rohit Gupta Rahul Gupta, Analysis Of Damped Mechanical And Electrical Oscillators By Rohit transform, ASIO Journal Of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS), Vol. 4, Issue 1, pp. 45-47, 2020.
[13] J. S. Chitode and R.M. Jalnekar. Network Analysis and Synthesis, Publisher: Technical Publications, 2007.
[14] 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), pp. 47-50, 2020.
[15] Rohit Gupta, Inderdeep Singh, Ankush Sharma, Response of an Undamped Forced Oscillator via Rohit Transform, Int. J. of Emerging Trends in Engg. Research, 10(8), pp. 396-400, 2022.

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