An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams
Journal Title: Journal of Applied and Computational Mechanics - Year 2016, Vol 2, Issue 1
Abstract
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 figures. It has been shown that the iteration perturbation approach doesn't need any small perturbation and is accurate for nonlinear oscillator equations.
Authors and Affiliations
Gamal Ismail
Keywords
Related Articles
- EP ID EP178277
- DOI 10.22055/jacm.2016.12268
- Views 130
- Downloads 0
Thermoelastic Analysis of Functionally Graded Hollow Cylinder Subjected to Uniform Temperature Field
This paper deals with the determination of displacement function and thermal stresses of a finite length isotropic functionally graded hollow cylinder subjected to uniform temperature field. The solution of the governing...
Periodic Solutions of the Duffing Harmonic Oscillator by He's Energy Balance Method
Duffing harmonic oscillator is a common model for nonlinear phenomena in science and engineering. This paper presents He´s Energy Balance Method (EBM) for solving nonlinear differential equations. Two strong nonlinear ca...
Reducing Retrieval Time in Automated Storage and Retrieval System with a Gravitational Conveyor Based on Multi-Agent Systems
The main objective of this study is to reduce the retrieval time of a list of products by choosing the best combination of storage and retrieval rules at any time. This is why we start by implementing some storage rules...
Deformation Characteristics of Composite Structures
Composites provide design flexibility because many of them can be moulded into complex shapes. Carbon fibre-reinforced epoxy composites exhibit excellent fatigue tolerance with high specific strength and stiffness. Thes...
Magnetic field effects on the elastic behavior of polymeric piezoelectric cylinder reinforced with CNTs
Magnetic field effects on the elastic response of polymeric piezoelectric cylinder reinforced with carbon nanotubes (CNTs) is studied. The cylinder is subjected to internal pressure, a constant electric potential differe...