Analysis Of Discrete Vibratory Systems With Parameter Uncertainties, Part I: Eigensolution

✍ Scribed by C. Lee; R. Singh

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 414 KB
• Volume: 174
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1994.1282

✦ Synopsis

A new analytical method is proposed for the estimation of eigensolutions for undamped and proportionally damped discrete vibratory systems when the system parameters are uncertain or random variables. Given several simplifying assumptions, a direct product technique is used to estimate the first and second moments of eigensolutions in terms of the moments of system parameter matrices. The proposed methodology is reasonably accurate and computationally fast, when compared with existing methods such as the first perturbation method and the Monte Carlo simulation. Application of the new method is demonstrated through several single- and multi-degree-of-freedom systems. It is seen that the standard deviation predictions match well with the results yielded by the Monte Carlo simulation, unlike the first order perturbation method, especially when moderately large random fluctuations are considered. The impulse response issue is addressed in the companion paper (Part II).