2012Structure & Environment EngineeringRequires access

Direct integral method for solving structural reliability

Zhang Hua

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Abstract

An integral method is presented for special limit state function which composed by sum,difference,product and quotient of random variables to solve structural reliability.Some probability density function of basic function is solved.The limit state function can be transformed into function of intervening variables.Probability density function of intervening variables can be solved by probability density function of basic function.Finally,probability density function of the limit state function and structural reliability is solved.What distribution random variables fellow is not considered and structural reliability computed is very precise.

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What this paper is about

An integral method is presented for special limit state function which composed by sum,difference,product and quotient of random variables to solve structural reliability.Some probability density function of basic function is solved.The limit state function can be transformed into function of intervening variables.Probability density function of intervening variables can be solved by probability density function of basic function.Finally,probability density function of the limit state function and structural reliability is solved.What distribution random variables fellow is not considered and structural reliability computed is very precise.

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Available abstract

An integral method is presented for special limit state function which composed by sum,difference,product and quotient of random variables to solve structural reliability.Some probability density function of basic function is solved.The limit state function can be transformed into function of intervening variables.Probability density function of intervening variables can be solved by probability density function of basic function.Finally,probability density function of the limit state function and structural reliability is solved.What distribution random variables fellow is not considered and structural reliability computed is very precise.

Key concepts: Probability density function, Random variable, Mathematics, Function (biology), Reliability (semiconductor), Limit (mathematics), Applied mathematics, Probability distribution

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