Random Seismic Analysis of RC Framed Shear Wall with Probability Density Evolution Method

A new probability density evolution method is proposed for seismic response analysis and reliability assessment of non-linear stochastic structures. In the method, a completely uncoupled one-dimensional governing partial differential equation is derived first with regard to evolutionary probability density function (PDF) of the stochastic structural responses. Taking the strength of concrete as the random variable, the random seismic nonlinear analysis to a framed shear wall was carried out with the Cyclic Softened Membrane Model based finite element program. Then based on the theory of probability density evolution, the probability density distribution as well as the reliability of shear force capacity of the shearwall were obtained and discussed. It could be found that, the bearing capacity of shearwall has obvious variability, and the affection of the randomness of concrete strength to the performance of structure should be considered sufficiently in the design of RC structure.