An Exact Expression for the Distribution of Linear Combinations of Uniform Random Variables

by Chung-Chih Lin, Arizona State Univ, Tempe, AZ, USA,
Marc P. Mignolet, Arizona State Univ, Tempe, AZ, USA,

Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability


Structural dynamic analysis have often in the past relied on the assumption that the system under consideration is well known ahd have been associated the unpredictability of the response with a lack of knowledge of the excitation. More recently, however, it has been found that a proper understanding of the behavior of certain mechanical systems can only be reached by considering some of the system parameters, such as mass, stiffness and/or damping to be random variables. The goal of the present paper is to partially address this problem by describing a new numerical technique for the evaluation of the probability that a linear combination of independent uniformly distributed random variables exceeds a given threhshold and also of some related conditional moments.

Subject Headings: Linear functions | Dynamic structural analysis | Probability | Mechanical properties | Mechanical systems | Parameters (statistics) | Stiffening | Damping

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