.png){kind=icon}
.png){kind=icon}
Return
Velocity divergence-Generalized adaptive probability density evolution method
.png){kind=icon}
PRE
AI
DOI：10.1002/eqe.4192.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
This study proposes a novel velocity divergence-generalized adaptive probability density evolution method (VD-GAPDEM) for calculating the probability density function of the stochastic response process of stochastic structures under stochastic dynamic loads. First, based on the principle of probability conservation, the velocity divergence-generalized adaptive probability density evolution equation (VD-GAPDEE) is derived for a stochastic system that can effectively consider the shape and location changes of the joint transitional probability density of representative points (RPs) in the stochastic response process. Second, a novel VD-GAPDEM is proposed to solve the VD-GAPDEE directly using the point selection technique based on the generalized F discrepancy and the second-order Runge-Kutta method with a smoothing kernel method (Runge-Kutta-SKFAM). Furthermore, the differences and connections between VD-GAPDEM and the existing probability density evolution method are analyzed. Additionally, the high computational efficiency and accuracy of the proposed VD-GAPDEM are demonstrated through three typical examples of stochastic response analysis, involving stochastic systems subjected to stochastic dynamic loads.
Keywords:
stochastic dynamic loads
stochastic structures
the second-order Runge-Kutta-SKFAM
VD-GAPDEE
VD-GAPDEM
Journal
E
IF:
5
Papers:
3.7K
Citations:
1.8W