TAILIEUCHUNG - On the reliability problems of structures subjected to dynamical loads
In this paper, the authors, originating from a general definition on the reliability of a system by V. V. Bolotin, assess the reliability of oscillating structure, by determining the upper and the lower bounds of the reliability. | Vietnam Journal of Mechanics, VAST, Vol. 29, No. 3 (2007), pp. 427 - 439 Special Issue Dedicated to the Memory of Prof. Nguyen Van Dao ON THE RELIABILITY PROBLEMS OF STRUCTURES SUBJECTED TO DYNAMICAL LOADS NGUYEN VAN PHO , LE NGOC THACH, CHU THANH BINI! Hanoi University of Civil Engineering Abstract. Mechanically, the assessment of t he structure's safety relates to three aspects: strenght, stability and oscillation. In the oscillation problems of structures, Lhc safety conditions are conditions of fr equency, a mplitude, resonance, maximum displaccmenl, etc In case t hat the structure itself contains random parameters and subjects to external loads that are also the random parameters (or random processes), the assessment of the structure's safety according to the deterministic inequalities of structural mechanics will be insignificant. Therefore, this should be assessed accordii-ig Lo the probabilistic point of view, namely, according to the reliability. The determination of reliability of the oscillation problems of structures encounters many difficulties because the outputs of the structural analysis problem arc the random processes (or t he random field). Meanwhile, up to now , the determii;iation of a probabi lily according to which a random process will belong to a given dom ain by mathematical method has not been sufficiently studied yet . In this paper, the a uthors, originating from a general definition on the reliability of a system by V. V. Bolotin, assess the reliability of osci llating structure, by determining the upper and the lower bounds of the reliability. The upper and the lower bounds of t he reliabi li ty are recommended to be determined by determining t he probability depending on only an inequality instead of delermining the it depending on a system of inequalities. Thus, the determination is very favourable. 1. INTRODUCTION Reliability is the most important parameter for assessment of the structure's safety. Mechanically, the .
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