Title: Quantification of modeling uncertainty in the Rayleigh damping model

Journal Article · · Earthquake Engineering & Structural Dynamics
DOI: https://doi.org/10.1002/eqe.4143 · OSTI ID:2476629
ORCiD logo [1];  [2]; ORCiD logo [1]
  1. Univ. of California, Los Angeles, CA (United States)
  2. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
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Understanding and accurately characterizing energy dissipation mechanisms in civil structures during earthquakes is an important element of seismic assessment and design. The most commonly used model is attributed to Rayleigh. This paper proposes a systematic approach to quantify the uncertainty associated with Rayleigh's damping model. Bayesian calibration with embedded model error is employed to treat the coefficients of the Rayleigh model as random variables using modal damping ratios. Through a numerical example, we illustrate how this approach works and how the calibrated model can address modeling uncertainty associated with the Rayleigh damping model.

Research Organization:
Sandia National Laboratories (SNL-CA), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003525
OSTI ID:
2476629
Report Number(s):
SAND-2024-15245J
Journal Information:
Earthquake Engineering & Structural Dynamics, Journal Name: Earthquake Engineering & Structural Dynamics Journal Issue: 9 Vol. 53; ISSN 0098-8847
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English

References (14)

Evaluation of Rayleigh damping and its influence on engineering demand parameter estimates journal February 2012
Modeling viscous damping in nonlinear response history analysis of buildings for earthquake excitation journal September 2015
Numerical artifacts associated with Rayleigh and modal damping models of inelastic structures with massless coordinates journal August 2019
Problems encountered from the use (or misuse) of Rayleigh damping journal January 2006
Quantifying modeling uncertainty in simplified beam models for building response prediction journal August 2022
A critical look into Rayleigh damping forces for seismic performance assessment of inelastic structures journal November 2014
Evaluation of the Rayleigh damping model for buildings journal May 2017
The Theory of Sound journal June 1898
Earthquake Design of Buildings:Damping journal January 1975
OpenSees: A Framework for Earthquake Engineering Simulation journal July 2011
Evaluation of natural periods and modal damping ratios for seismic design of building structures journal March 2020
First Mode Damping Ratios for Buildings journal February 2015
Embedded Model Error Representation for Bayesian Model Calibration journal January 2019
Bayesian Inference in Statistical Analysis journal March 1974

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42 ENGINEERING
58 GEOSCIENCES
Rayleigh damping model
earthquake engineering
embedded model error
modeling uncertainty