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Abstract
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Article Information:
Statistical Study of Complex Eigenvalues in Stochastic Systems
Seifedine Kadry, Hussam Kassem, Mohamad Smaili and Abdo Abou Jaoude
Corresponding Author: Seifedine Kadry
Submitted: 2010 March, 08
Accepted: 2010 March, 24
Published: 2010 May, 10 |
Abstract:
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In this research we analyze the complex modes arising in multiple degree-of-freedom nonproportionally
damped discrete linear stochastic systems. The complex eigenvalues intervene when unstable
states like resonances, happened. Linear dynamic systems must generally be expected to exhibit
non-proportional damping. Non-proportionally damped linear systems do not possess classical normal modes
but possess complex modes. The proposed method is based on the transformation of random variables. The
advantage of this method which give us the probability density function of real and imaginary part of the
complex eigenvalue for stochastic mechanical system, i.e. a system with random output (Young's modulus,
load). The proposed method is illustrated by considering numerical example based on a linear array of damped
spring-mass oscillators. It is show n that the approach can predict the probability density function with good
accuracy when compared with independent Monte-Carlo simulations.
Key words: Complex modes, discrete linear stochastic systems, non-proportionately damped, probabilistic transformation method, , ,
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Cite this Reference:
Seifedine Kadry, Hussam Kassem, Mohamad Smaili and Abdo Abou Jaoude, . Statistical Study of Complex Eigenvalues in Stochastic Systems. Research Journal of Applied Sciences, Engineering and Technology, (3): Page No: 233-238.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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