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Robust reliability of structural vibration

Wang Xiaojun Qiu Zhiping (School of Aeronautics Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China)  
Based on the conventional probabilistic design methods of structural vibration, modeling uncertain variables as interval (hyper-rectangle), a non-probabilistic interference model between the exciting frequencies and the natural frequencies of a structure was established and a non-probabilistic method of reliability analysis was presented, called robust criterion of reliability of structural vibration. A measure of reliability developed here is the amount of the uncertainty structure can tolerate before occurring resonance. The larger the structure can tolerate the amount of uncertainty, the more reliable, vice versa. It can be described as the partial order relation between the hype-rectangles in mathematics. Numerical example illustrates the feasibility of the presented non-probabilistic robust reliability criterion.
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