Comparative Analysis of Simulation Time in Nonlinear and Harmonically Excited Pendulum and Duffing Oscillators
Journal Title: INTERNATIONAL JOURNAL OF COMPUTERS & TECHNOLOGY - Year 2013, Vol 10, Issue 2
Abstract
The motivation for the present study is derived from the fact that time mangaement is an integral part of good engineering practice. The present study investigated the quantification of the required computation time using two nonlinear and harmonically excited oscillators (Pendulum and Duffing) as case studies. Simulations with personal computer were effected for Runge-Kutta schemes (RK2, RK3, RK4, RK5, RK5M) and one blend (RKB) over thirty five thousand and ten excitation periods consisting the unsteady and steady solutions. The need for validation of the developed FORTRAN90 codes by comparing Poincare results with their conterpart from the literature informed the choice of simulation parameters. However, the simulation time was monitored at three lengths of excitation period (15000, 25000 and 35000) using the current time subroutine call command. The validation Poincaré results obtained for all the schemes including RKB compare well with the counterpart available in the literature for both Pendulum and Duffing. The actual computation time increases with increasing order of scheme, but suffered a decrease for the blended scheme. The diffencerence in computation time required between RK5 and RK5M is negligible for all studied cases. The actual computational time for Duffing (5-33seconds) remain consistently higher for corresponding Pendulum (3-23seconds) with difference (2-10seconds). Interestingly, the quantitative difference between the corresponding normalised computation time for systems and schemes is insignificant. It is insensitive to systems and schemes and formed a simple average ratio{ } for RK2, RK3, RK4, RK5, RK5M and RKB respectively. It is concluded that the end justified the means provided that computation accuracy is assured using the higher order scheme (with higher computational time ratio).
Authors and Affiliations
Salau T. A. O. , Ajide O. O.
Keywords
Related Articles
- EP ID EP650143
- DOI 10.24297/ijct.v10i2.6997
- Views 84
- Downloads 0
Implementation of Watershed Based Image Segmentation Algorithm using Distance Transform for Grid Computing
A new method for image segmentation using watershed transform algorithm is presented in this paper. It takes advantage of the fact that the proposed algorithm produced good results even if the same parameters are used fo...
The New Image Encryption and Decryption Using Quasi Group
Multimedia Communication is the new age of communication. Image Communication is one of the most popular types of multimedia communication. This type of communication always faces security challenges. Security breach is...
MVICS: a Repository and Search Tool towards Holistic Semantic-Based Precise Component Selection
Driven by the continuous expansions of software applications and the increases in component varieties and sizes, the so-called component mismatch problem has become a more severe hurdle for component selection and integr...
ALLOCATION OF HETEROGENOUS CLOUDLETS ON PRIORITY BASIS IN CLOUD ENVIRONMENT
Load balancing is one of the main challenges in cloud computing which is required to distribute the dynamic workload across multiple nodes to ensure that no single node is overwhelmed. It helps in optimal utilization of...
A TABU SEARCH APPROACH FOR THE BI-OBJECTIVE HOSPITAL SITE DETERMINATION PROBLEM UNDER FUZZY ENVIRONMENT
The present paper attempts to study the bi-objective hospital site determination problem under fuzzy environment. In this paper, the concept of Tabu search is used for solving bi-objective facility location problem i.e....