Reliability analysis of randomly vibrating structures with parameter uncertainties

2006 ◽  
Vol 297 (3-5) ◽  
pp. 1000-1024 ◽  
Author(s):  
Sayan Gupta ◽  
C.S. Manohar
2013 ◽  
Vol 10 (10) ◽  
pp. 1276-1284 ◽  
Author(s):  
Yan-Gang Zhao ◽  
Zhao-Hui Lu ◽  
Weiqiu Zhong

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
M. R. Machado ◽  
J. M. C. Dos Santos

The paper examines the influence of uncertainty parameters on the wave propagation responses at high frequencies for a damaged beam structure in the structural reliability context. The reliability analyses were performed using the perturbation method, First-Order Reliability Method (FORM), and response surface method (RSM) which were compared with Monte Carlo simulation (MCS) under the spectral element method environment. The simulated results were performed to investigate the effects of material property and geometric uncertainties on the response at high frequency modes, such as the computational efficiency of reliability methods. For the first time, the spectral element method is used in the context of reliability analysis at medium and high frequency bands applied to damage detection. It has shown the effects of parameters uncertainty on the dynamic beam response due on an impulsive load and the robustness of each method. Numerical examples in a bending vibrating beam with random parameters are performed to verify the computational efficiency of the present study.


2021 ◽  
Author(s):  
Srijani Sett ◽  
Kalyan Kumar Chattopadhyay

Abstract Liquefaction is a phenomenon where the effective stress of the soil gets reduced to zero and the soil losses its shear strength completely. Such occurrence is common during an earthquake and hence the need for evaluating the liquefaction potential of soil arises. The region of Newtown-Rajarhat is undergoing a massive industrial and residential growth and as the area has layers of sand and silt mixed with clay and organic matter, it is essential to determine its liquefaction potential. In this study, the deterministic methods proposed by Youd et al. (2001) and Boulanger and Idriss (2014) were utilized to evaluate the liquefaction potential of the region using 102 borehole data for earthquake magnitudes of 6 and 7. However it was observed that both methods gave different results for the same input parameters. The parameter uncertainties were identified and a reliability analysis was performed to represent the liquefaction potential in terms of reliability index and probability of liquefaction. The First-Order-Second-Moment (FOSM) method was utilized here and contour maps were prepared for depths of 7m and 13m for both the earthquake magnitudes. It was concluded that the study area is vulnerable to liquefaction at a depth of 13m in the regions of Newtown, Rajarhat and Sector V.


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