Consideration of uncertainties in seismic analysis of coupled building piping systems

Gupta, Abhinav; Choi, Byounghoan

doi:10.1016/j.nucengdes.2005.05.013

Cited by 8 publications

(2 citation statements)

References 12 publications

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“…16 is modeled and the non-linear threaded Tee-joint connection is a part of the 50 mm (2 inch) branch piping sprinkler system as shown. The particular A total of 75 real earthquake records normalized to the same PGA [17], are chosen to model the uncertainty in ground motion. Non-linear analyses were conducted by normalizing each of the 75 earthquake records at many PGA levels from 0.5 g to 3.0 g at an interval of 0.1 g and the fragility was estimated at each PGA level using Eq.…”

Section: Failure At Single Locationmentioning

confidence: 99%

Seismic fragility of threaded Tee-joint connections in piping systems

Gupta

2015

International Journal of Pressure Vessels and Piping

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Section: Failure At Single Locationmentioning

confidence: 99%

Seismic fragility of threaded Tee-joint connections in piping systems

Gupta

2015

International Journal of Pressure Vessels and Piping

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“…In a coupled analysis by modal synthesis , the equation of motion is expressed in terms of uncoupled natural frequencies, mode shapes, damping characteristics, and modal participation factors. The effect of uncertainties in primary and secondary system frequencies can be considered within the modal synthesis approach by using the square root of the mean of squares (SRMS) methodology . The SRMS methodology employs a limited Monte Carlo simulation to evaluate a design response for secondary systems.…”

Section: Motivationmentioning

confidence: 99%

Sampling of closely‐spaced ordered set of uniformly distributed random variables

Tadinada

Gupta

2011

Numerical Meth Engineering

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SUMMARYWhen the individual PDFs of closely-spaced random variables such as natural frequencies of a structure overlap, generation of sample sets by assuming the frequencies to be independent random variables can lead to incorrect sets of frequencies in the sense that the frequencies do not remain as ordered sets. Rejection of such disordered sample sets results in individual density functions that are significantly different from the distributions initially assumed for sampling each random variable. One way to overcome this constraint in the simulation of an ordered set of random variables is to consider them in an implicit manner using a joint PDF. In this paper, we present a formulation for a joint density function that is developed using fundamental probability approaches. The formulation ensures that the sampled random variables always remain as ordered sets and maintain the individual density functions for each variable. Application of the proposed formulation is illustrated for cases with not just two closely-spaced variables but also for a case with multiple closely-spaced variables such that the PDFs of more than two random variables overlap with each other. An expression is presented to determine the exact number of terms needed in the formulation. However, it is also illustrated that only two terms are sufficient in most applications even when the exact number of terms needed is very high.

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Seismic Fragility of Steel Piping System Based on Pipe Size, Coupling Type, and Wall Thickness

Gupta

Ryu

2018

Int J Steel Struct

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Consideration of uncertainties in seismic analysis of coupled building piping systems

Cited by 8 publications

References 12 publications

Seismic fragility of threaded Tee-joint connections in piping systems

Seismic fragility of threaded Tee-joint connections in piping systems

Sampling of closely‐spaced ordered set of uniformly distributed random variables

Seismic Fragility of Steel Piping System Based on Pipe Size, Coupling Type, and Wall Thickness

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