Probabilistic nonlinear dynamic analysis of a plane frame with material and geometric ucertainties

This paper focuses on probabilistic nonlinear dynamic analysis of a plane frame in which density, modulus of elasticity and section dimensions are random variables. The Monte Carlo method is used to simulate the random variables with different types of probability density functions and various coefficients of variation. The time-displacement responses of the frame show that randomness in the material and geometric properties can lead to significant uncertainty in the maximum response displacement. Also, the statistically dynamic responses obtained by the present approach will be useful for studying the structural safety and reliability.