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Application of Convolution Method to the Impulsive Response of A Lightly Damped Harmonic Oscillator
Rahul Gupta1 , Rohit Gupta2 , Dinesh Verma3
Section:Research Paper, Product Type: Isroset-Journal
Vol.7 ,
Issue.3 , pp.173-175, Jun-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrpas/v7i3.173175
Online published on Jun 30, 2019
Copyright © Rahul Gupta, Rohit Gupta , Dinesh Verma . 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 , 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.
MLA Style Citation: 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 7.3 (2019): 173-175.
APA Style Citation: Rahul Gupta, Rohit Gupta , Dinesh Verma, (2019). Application of Convolution Method to the Impulsive Response of A Lightly Damped Harmonic Oscillator. International Journal of Scientific Research in Physics and Applied Sciences, 7(3), 173-175.
BibTex Style Citation:
@article{Gupta_2019,
author = {Rahul Gupta, Rohit Gupta , Dinesh Verma},
title = {Application of Convolution Method to the Impulsive Response of A Lightly Damped Harmonic Oscillator},
journal = {International Journal of Scientific Research in Physics and Applied Sciences},
issue_date = {6 2019},
volume = {7},
Issue = {3},
month = {6},
year = {2019},
issn = {2347-2693},
pages = {173-175},
url = {https://www.isroset.org/journal/IJSRPAS/full_paper_view.php?paper_id=1360},
doi = {https://doi.org/10.26438/ijcse/v7i3.173175}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v7i3.173175}
UR - https://www.isroset.org/journal/IJSRPAS/full_paper_view.php?paper_id=1360
TI - Application of Convolution Method to the Impulsive Response of A Lightly Damped Harmonic Oscillator
T2 - International Journal of Scientific Research in Physics and Applied Sciences
AU - Rahul Gupta, Rohit Gupta , Dinesh Verma
PY - 2019
DA - 2019/06/30
PB - IJCSE, Indore, INDIA
SP - 173-175
IS - 3
VL - 7
SN - 2347-2693
ER -
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Abstract :
In this paper, an impulsive response of a lightly damped harmonic oscillator is obtained by solving its equation of motion by the convolution method. Generally, it has been obtained typically. Convolution method provides an easy approach towards obtaining the impulsive response of a lightly damped harmonic oscillator. This paper brings up the convolution method as an easy and effective approach for obtaining the impulsive response of a lightly damped harmonic oscillator and presents a new technological approach to solve the Ordinary differential equations. We extend this method to obtain the response of an overdamped oscillator. It provides a powerful mathematical tool and reveals that the convolution method is effective and simple.
Key-Words / Index Term :
Lightly Damped Harmonic Oscillator, Impulsive Response, Convolution Method
References :
[1] Fundamentals of Physics by Dr. Robert Resnick and David Halliday. 6th edition.
[2] A Text Book of Engineering Mathematics by N.P. Bali and Dr. Manish Goyal. 9th edition 2014.
[3] Advanced Engineering Mathematics by H.K. Dass. Reprint, 2014.
[4] Mathematical physics by E. Butkov, Addison-Wesley Pub Co, 1968; Chapter 7.
[5] Engineering Physics by Dr. R.K. Gaur and Dr. S.L. Gupta. Eighth edition, Reprint 2008.
[6] The Physics of Wave and Oscillations by N.K. Bajaj. 21st reprint 2007.
[7] Higher Engineering Mathematics by Dr. B.S. Grewal. 43rd edition 2015.
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