ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

307

Like
10 50 85 201 5 17 15.1K 30.2K
276

Newly Added
  • Courses 10
  • Course Supplements 50
  • Courses Tasks 85
  • Publications 201
  • Office hours 5
  • Announcements 17
  • File uploaded 63
  • Downloaded Times 2481

Publications Which contain the keyword: periodic solution

Periodic solution of the generalized Rayleigh equation

2018-10-24 22:28:03 Keywords Periodic Solutions, Strongly n, periodic solution, generalized Rayleigh equation,
Periodic solution of the generalized Rayleigh equation
The periodic solutions of a strongly cubic nonlinear oscillator whose motion is described with the generalized Rayleigh equation are studied. Approximate analytic solving methods are introduced. A new method based on homotopy and averaging is developed to determine the limit cycle motion. The obtained analytical solutions are compared with those calculated by the elliptic harmonic balance method with generalized Fourier ... Read more

Applications of He’s Amplitude-Frequency Formulation to the Free Vibration of Strongly Nonlinear Oscillators

2018-10-24 22:41:59 Keywords Nonlinear oscillators, He's amplitude-frequency formu, periodic solution,
Applications of He’s Amplitude-Frequency Formulation to the Free Vibration of Strongly Nonlinear Oscillators
In this paper, He's amplitude-frequency formulation is used to obtain a periodic solution of a nonlinear oscillator. We illustrate that He's amplitude-frequency formulation is very effective and convenient and does not require linearization or small perturbation. The obtained results are valid for the whole solution domain with high accuracy. Read more

Analytical and Approximate Solutions to the Fee Vibration of Strongly Nonlinear Oscillators

2018-10-24 23:04:00 Keywords periodic solution, Nonlinear oscillators, energy balance method, Variational Iteration Method,
Analytical and Approximate Solutions to the Fee Vibration of Strongly Nonlinear Oscillators
In this paper, we implement a new approach coupled with the iteration method. This procedure is obtained by combining He’s frequency-amplitude formulation and He’s energy balance method into a new iteration procedure such that excellent approximate analytical solutions, valid for small as well as large values of amplitude, can be determined for nonlinear oscillators. This study has clarified the motion ... Read more

Analytical Solutions for Free Vibration of Strongly Nonlinear Oscillators

2018-10-25 07:34:30 Keywords Variational Iteration Method, Nonlinear oscillators, periodic solution,
Analytical Solutions for Free Vibration of Strongly Nonlinear Oscillators
In this paper, a nonlinear free vibration of strongly nonlinear oscillators is studied. To this end, we propose a novel technique using He’s frequency-amplitude formulation and He’s energy balance method called iteration perturbation procedure. A novel technique called iteration perturbation procedure and variational iteration method are presented to obtain the relationship between amplitude and angular frequency. The obtained results are ... Read more

An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams

2018-10-25 07:51:01 Keywords Tapered beams, Motion of a rigid rod rocking, Nonlinear oscillators, periodic solution,
An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams
In this paper, a new analytical approach has been presented for solving strongly nonlinear oscillator problems. Iteration perturbation method leads us to high accurate solution. Two different high nonlinear examples are also presented to show the application and accuracy of the presented method. The results are compared with analytical methods and with the numerical solution using Runge-Kutta method in different ... Read more

Analytical solutions for free vibration of strongly nonlinear oscillators

2018-10-07 18:37:15 Keywords variation iteration, iteration perturbation, non linear oscillators, periodic solution, nonlinear o, periodic solution,
Analytical solutions for free vibration of strongly nonlinear oscillators
Abstract: In this paper, a nonlinear free vibration of strongly nonlinear oscillators is studied. To this end, we propose a novel technique using He’s frequency-amplitude formulation and He’s energy balance method called iteration perturbation procedure. A novel technique called iteration perturbation procedure and variational iteration method are presented to obtain the relationship between amplitude and angular frequency. The obtained results ... Read more

Reduction the secular solution to periodic solution in the generalized restricted three-body problem

2018-10-02 13:35:15 Keywords three-body problem, periodic solution,
Reduction the secular solution to periodic solution in the generalized restricted three-body problem
The aim of the present work is to find the secular solution around the triangular equilibrium points and reduce it to the periodic solution in the frame work of the generalized restricted thee-body problem. This model is generalized in sense that both the primaries are oblate and radiating as well as the gravitational potential from a belt. We show that ... Read more

Existence and asymptotic behavior results of periodic solution for discrete-time neutral-type neural networks

2018-10-02 21:30:38 Keywords periodic solution, discrete-time, Neural Networks,
Existence and asymptotic behavior results of periodic solution for discrete-time neutral-type neural networks
A generalized discrete neutral-type neural network with time-varying delays is studied. The existence results of periodic solution for the above neural networks are obtained by using Mawhin׳s continuation theorem of coincidence degree theory, and sufficient conditions are given to guarantee global exponential stability of periodic solution. Finally, a numerical example is given to show the effectiveness of the results in ... Read more

  • «
  • 1
  • »