In this work, we propose an optimal analytical approach to investigate a Duffing-type equation modelling structural elements involving a forced mass-spring system, where the spring does not exactly obey the Hooke’s law. The Optimal Homotopy Asymptotic Method (OHAM) was successfully applied to obtain an explicit and accurate analytical solution to the considered model. Numerical simulations were developed in order to validate the analytical results and to emphasize the accuracy of the proposed approach.
REFERENCES
1.
I.
Kovacic
, M.J.
Brennan
, The Duffing Equation: Nonlinear Oscillators and Their Behaviour
. Hoboken, NJ: Wiley
(2011
)2.
A.E.
Zuniga
, Nonlinear Dynamics
45
, 227
–235
(2006
)3.
V.
Marinca
, N.
Herisanu
, Mathematical and Computer Modelling
53
, 604
–609
(2011
)4.
L.
Cveticanin
, Int. J. Nonlinear Sci. Numer. Simul.
10
, 1491
–1516
(2009
)5.
N.
Herisanu
, V.
Marinca
, MATEC Web of Conf.
148
, 13003
(2018
)6.
N.
Herisanu
, V.
Marinca
, G.
Madescu
, AIP Conf. Proc.
1863
, 46002
(2017
)7.
V.
Marinca
, N.
Herisanu
, AIP Conf. Proc.
2116
, 300003
(2019
)8.
N.
Herisanu
, V.
Marinca
, Mathematics
8
(7
), Art.No.1083 (2020
)9.
V.
Marinca
, N.
Herisanu
, Symmetry
12
(8
), Art.No.1335 (2020
)
This content is only available via PDF.
©2023 Authors. Published by AIP Publishing.
2023
Author(s)
You do not currently have access to this content.
