On (Non) Applicability of a Mode-Truncation of a Damped Traveling String
Journal Title: Mehran University Research Journal of Engineering and Technology - Year 2019, Vol 38, Issue 2
Abstract
This study investigates a linear homogeneous initial-boundary value problem for a traveling string under linear viscous damping. The string is assumed to be traveling with constant speed, while it is fixed at both ends. Physically, this problem represents the vertical (lateral) vibrations of damped axially moving materials. The axial belt speed is taken to be positive, constant and small in comparison with a wave speed, and the damping is also considered relatively small. A two timescale perturbation method together with the characteristic coordinate’s method will be employed to establish the approximate analytic solutions. The damped amplitude-response of the system will be computed under specific initial conditions. The obtained results are compared with the finite difference numerical technique for justification. It turned out that the introduced damping has a significant effect on the amplitude-response. Additionally, it is proven that the mode-truncation is applicable for the damped axially traveling string system on a timescale of order ε -1
Authors and Affiliations
R. A. Malookani, S. H. Sandilo, A. H. Shaikh
Keywords
Related Articles
- EP ID EP557644
- DOI 10.22581/muet1982.1902.21
- Views 118
- Downloads 0
Evaluation of Impact Strength of Epoxy Based Hybrid Composites Reinforced with E-Glass/Kevlar 49
In hybridization different fibers are stacked layer by layer to produce laminates have specific strength and stiffness and employed in light weight high strength applications. Physically mean fabricated hybrid composites...
Governance of Clean Energy in Rural Northwest Pakistan
Effective institutional arrangements at local and national levels are important for promotion of renewable energy in a country. The present study attempts to examine the institutional arrangements for development of dome...
Adaptation of Information Quality and Assurance Management Paradigm in a Strategic Public Sector Organization
Information quality despite being a critical area in organizations lacks in comprehensive methodologies for its adaptation and improvement even after years of active research and practice. Therefore adaptation of informa...
Routine of Encryption in Cognitive Radio Network
Today data transmission is very important through different channels. Need of network security comes to secure data transformation from one network to another network. As the complexity of the systems and the networks in...
Short Term Economic Emission Power Scheduling of Hydrothermal Energy Systems Using Improved Water Cycle Algorithm
Due to the increasing environmental concerns, the demand of clean and green energy and concern of atmospheric pollution is increasing. Hence, the power utilities are forced to limit their emissions within the prescribed...