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Reliability-based optimization under random vibration environmentA methodology of formulating the optimum design problem for structural systems with random parameters and subjected to random vibration as a mathematical programming problem is presented. The proposed method is applied to the optimum design of a cantilever beam with a tip mass and a truss structure supporting a water tank. The excitations are assumed to be Gaussian processes and the geometric and material properties are taken to be normally distributed random variables. The probabilistic constraints are specified for individual failure modes since it is easier to specify the reliability level for each failure mode keeping in view the consequences of failure in that particular mode. The time parameter appearing in the random vibration based constraints is eliminated by replacing the probabilities of failure by suitable upper bounds. The numerical results demonstrate the feasibility and effectiveness of applying the reliability-based design concepts to structures with random parameters and operating in random vibration environment.
Document ID
19820037616
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Rao, S. S.
Date Acquired
August 10, 2013
Publication Date
January 1, 1981
Publication Information
Publication: Computers and Structures
Volume: 14
Issue: 5-6,
Subject Category
Structural Mechanics
Accession Number
82A21151
Distribution Limits
Public
Copyright
Other

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