A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force

QR Code

A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force

In the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic restoring force, has been analysed and solved completely by harmonic balance method (HBM). Investigating analytically such kinds of oscillator is very difficult task and cumbersome. In this study, the offered...

Full description

Bibliographic Details
Main Authors:	Hosen, Md. Alal, Chowdhury, Md. Sazzad Hossien
Format:	Article
Language:	English
Published:	Elsevier 2015
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/44790/ http://irep.iium.edu.my/44790/1/A_new_reliable_analytical_solution_for_strongly_nonlinear_oscillator_with_cubic_and_harmonic_restoring_force.pdf

Similar Items

Approximate solutions for strongly nonlinear oscillators by using Harmonic Balance Method
by: Hosen, Md. Alal, et al.
Published: (2015)

High-order approximate solutions of strongly nonlinear cubic-quintic Duffing oscillator based on the harmonic balance method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2017)

Solution of nonlinear cubic-quintic duffing oscillators using harmonic balance method.
by: Hosen, M. A, et al.
Published: (2016)

Solution of cubic-quintic duffing oscillators using harmonic balance method
by: Hosen, Mdalal, et al.
Published: (2016)

Solution of cubic-quintic Duffing oscillators using harmonic balance method
by: Hosen, Md. Alai, et al.
Published: (2014)

A new analytical technique based on harmonic balance method to determine approximate periods for Duffing-harmonic oscillator
by: Hosen, Md. Alal, et al.
Published: (2015)

Solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method
by: Hosen, Md. Alal, et al.
Published: (2015)

Analytical approximate solutions for the Helmholtz-Duffing oscillator
by: Md. Alal, Hosen, et al.
Published: (2015)

A new analytical technique for solving nonlinear non-smooth oscillators based on the rational harmonic balance method
by: Hosen, Md. Alal, et al.
Published: (2018)

Analytical approximations for the oscillators with anti-symmetric quadratic nonlinearity
by: Hosen, Md. Alal, et al.
Published: (2018)

An analytical technique to obtain higher-order approximate periods for the nonlinear oscillator
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2018)

A comparison study on the harmonic balance method and rational harmonic balance method for the Duffing-harmonic oscillator
by: Hosen, Md. Alal, et al.
Published: (2016)

A novel analytical approximation technique for highly nonlinear oscillators based on the energy balance method
by: Hosen, Md. Alal, et al.
Published: (2016)

An analytical approximation technique for the duffing oscillator based on the energy balance method
by: Hosen, Md. Alal, et al.
Published: (2017)

Accurate approximations of the nonlinear vibration of couple-mass-spring systems with linear and nonlinear stiffnesses
by: Hosen, Md. Alal, et al.
Published: (2019)

Analytical approximate solutions of the duffing-relativistic oscillator
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2015)

A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2015)

Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2017)

Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2017)

Strongly localized models in two-component discrete media with cubic-quintic nonlinearity
by: Umarov, Bakhram, et al.
Published: (2011)

Soliton solutions to phi-four and strain wave equation through the exp -expansion method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2015)

An accurate solution to the nonlinear Lotka-Volterra equations by modified Homotopy Pertubation method
by: Chowdhury, Md. Sazzad Hossien
Published: (2013)

Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)

Solving linear and non-linear stiﬀ system of ordinary diﬀerential equations by multistage adomian decomposition method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2015)

Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2016)

Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2017)

A new reliable algorithm for analytical treatment of differential and integral equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2013)

Homotopy-perturbation method for solving linear and nonlinear differential equation
by: Chowdhury, Md. Sazzad Hossien
Published: (2015)

Homotopy-perturbation method for direct solution of nonlinear initial value problem
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

Analytical solution of the fin problem by extended homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

Analytical spectrum isomorphism of noncommutative harmonic oscillator and charged particle in magnetic field
by: M. Rusli, M. N. N., et al.
Published: (2022)

A powerful Numeric-analytic Technique for handling prey-predator problems
by: Chowdhury, Md. Sazzad Hossien
Published: (2012)

Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)

Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2008)

Analytical solutions to heat transfer equations by homotopy-perturbation method revisited
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2008)

Solution of prey–predator problem by numeric–analytic technique
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

Solution of prey–predator problem by numeric–analytic technique
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)

Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit
by: Abdul Taib, Luckman, et al.
Published: (2018)

A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
by: Chowdhury, Md. Sazzad Hossien
Published: (2011)

A modified homotopy perturbation method for purely nonlinear fin-type problems
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)