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Title: PEAK DISPLACEMENTS AND INTERSTORY DRIFTS ON NONLINEAR MULTI DEGREE OF FREEDOM SYSTEMS USING PRINCIPAL COMPONENT ANALYSIS.

Abstract

Principal Components Analysis (PCA) is a method to extract the principal components (or modes) of response from recorded or computed response data, of systems exhibiting linear and/or nonlinear response. For linear systems, the PCA mode shapes coincide with the elastic mode shapes, if the nodal mass is uniformly distributed. For nonuniform mass distributions, the PCA modes are related to the elastic modes. The PCA technique is particularly valuable when applied to systems responding nonlinearly, because it identifies the 'predominant mode' of response and the degree to which the response is in this mode. This paper illustrates the use of the PCA technique for estimating floor and interstory drifts for a 12-story moment-resistant frame responding to earthquake ground motions. Linear and nonlinear responses are considered, and the observed mode shapes and the accuracy of drift estimates are discussed. The interaction of modal amplitudes in time is considered in detail. The peak roof drift and interstory drifts are expressed as linear combinations of the PCA modes, and are represented graphically, together with the observed interaction response. A technique is described to determine peak values of these quantities by maximizing the drift functions relative to the observed modal interactions.

Authors:
 [1];
  1. M. Isabel
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
975770
Report Number(s):
LA-UR-01-5503
TRN: US201018%%857
Resource Type:
Conference
Resource Relation:
Conference: "Submitted to: 7th U.S. National Conference on Earthquake Engineering Boston, Massachusetts, July 21-25, 2001."
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 58 GEOSCIENCES; ACCURACY; AMPLITUDES; EARTHQUAKES; FLOORS; GROUND MOTION; MASS DISTRIBUTION; ROOFS; ENGINEERING

Citation Formats

Garcia, M I, and Aschheim, M A. PEAK DISPLACEMENTS AND INTERSTORY DRIFTS ON NONLINEAR MULTI DEGREE OF FREEDOM SYSTEMS USING PRINCIPAL COMPONENT ANALYSIS.. United States: N. p., 2001. Web.
Garcia, M I, & Aschheim, M A. PEAK DISPLACEMENTS AND INTERSTORY DRIFTS ON NONLINEAR MULTI DEGREE OF FREEDOM SYSTEMS USING PRINCIPAL COMPONENT ANALYSIS.. United States.
Garcia, M I, and Aschheim, M A. 2001. "PEAK DISPLACEMENTS AND INTERSTORY DRIFTS ON NONLINEAR MULTI DEGREE OF FREEDOM SYSTEMS USING PRINCIPAL COMPONENT ANALYSIS.". United States. https://www.osti.gov/servlets/purl/975770.
@article{osti_975770,
title = {PEAK DISPLACEMENTS AND INTERSTORY DRIFTS ON NONLINEAR MULTI DEGREE OF FREEDOM SYSTEMS USING PRINCIPAL COMPONENT ANALYSIS.},
author = {Garcia, M I and Aschheim, M A},
abstractNote = {Principal Components Analysis (PCA) is a method to extract the principal components (or modes) of response from recorded or computed response data, of systems exhibiting linear and/or nonlinear response. For linear systems, the PCA mode shapes coincide with the elastic mode shapes, if the nodal mass is uniformly distributed. For nonuniform mass distributions, the PCA modes are related to the elastic modes. The PCA technique is particularly valuable when applied to systems responding nonlinearly, because it identifies the 'predominant mode' of response and the degree to which the response is in this mode. This paper illustrates the use of the PCA technique for estimating floor and interstory drifts for a 12-story moment-resistant frame responding to earthquake ground motions. Linear and nonlinear responses are considered, and the observed mode shapes and the accuracy of drift estimates are discussed. The interaction of modal amplitudes in time is considered in detail. The peak roof drift and interstory drifts are expressed as linear combinations of the PCA modes, and are represented graphically, together with the observed interaction response. A technique is described to determine peak values of these quantities by maximizing the drift functions relative to the observed modal interactions.},
doi = {},
url = {https://www.osti.gov/biblio/975770}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2001},
month = {Mon Jan 01 00:00:00 EST 2001}
}

Conference:
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