Non-probabilistic Solution of Uncertain Vibration Equation of Large Membranes Using Adomian Decomposition Method
Joint Authors
Tapaswini, Smita
Chakraverty, Snehashish
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-24
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
This paper proposes a new technique based on double parametric form of fuzzy numbers to handle the uncertain vibration equation for very large membrane for different particular cases.
Uncertainties present in the initial condition and the wave velocity of free vibration are modelled through Gaussian convex normalised fuzzy set.
Using the single parametric form of fuzzy number, the original fuzzy vibration equation is converted first to an interval fuzzy vibration equation.
Next this equation is transformed to crisp form by applying double parametric form of fuzzy numbers.
Finally the same governing equation is solved by Adomian decomposition method (ADM) symbolically to obtain the uncertain bounds.
The present methods are very simple and effective.
Obtained results are depicted in terms of plots to show the efficiency and powerfulness of the present analysis.
Results obtained by the methods with new techniques are compared with existing results in special cases.
American Psychological Association (APA)
Tapaswini, Smita& Chakraverty, Snehashish. 2014. Non-probabilistic Solution of Uncertain Vibration Equation of Large Membranes Using Adomian Decomposition Method. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1049163
Modern Language Association (MLA)
Tapaswini, Smita& Chakraverty, Snehashish. Non-probabilistic Solution of Uncertain Vibration Equation of Large Membranes Using Adomian Decomposition Method. The Scientific World Journal No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1049163
American Medical Association (AMA)
Tapaswini, Smita& Chakraverty, Snehashish. Non-probabilistic Solution of Uncertain Vibration Equation of Large Membranes Using Adomian Decomposition Method. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1049163
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049163