11-24-2009, 02:59 PM
(This post was last modified: 11-24-2009, 03:03 PM by Dell_Brett.)
Alternative link:
(reproducing the post of vegetta - All credits goes to him)
Anil K. Chopra
University of California
Berkeley
Rakesh K. Goel
California Polytechnic State University
San Luis Obispo
A report on research conducted under grant no. CMS-9812531
from the National Science Foundation:
U.S.-Japan Cooperative Research in Urban Earthquake Disaster Mitigation
The principal objective of this investigation is to develop a pushover analysis procedure based on
structural dynamics theory, which retains the conceptual simplicity and computational
attractiveness of current procedures with invariant force distribution, but provides superior
accuracy in estimating seismic demands on buildings.
The standard response spectrum analysis (RSA) for elastic buildings is reformulated as a
Modal Pushover Analysis (MPA). The peak response of the elastic structure due to its nth
vibration mode can be exactly determined by pushover analysis of the structure subjected to
lateral forces distributed over the height of the building according to *
sn =mφn , where m is the
mass matrix and φ n its nth-mode, and the structure is pushed to the roof displacement
determined from the peak deformation Dn of the nth-mode elastic SDF system. Combining
these peak modal responses by modal combination rule leads to the MPA procedure
(reproducing the post of vegetta - All credits goes to him)
A Modal Pushover Analysis Procedure to Estimate Seismic Demands for Buildings: Theory and Preliminary Evaluation
Anil K. Chopra
University of California
Berkeley
Rakesh K. Goel
California Polytechnic State University
San Luis Obispo
A report on research conducted under grant no. CMS-9812531
from the National Science Foundation:
U.S.-Japan Cooperative Research in Urban Earthquake Disaster Mitigation
The principal objective of this investigation is to develop a pushover analysis procedure based on
structural dynamics theory, which retains the conceptual simplicity and computational
attractiveness of current procedures with invariant force distribution, but provides superior
accuracy in estimating seismic demands on buildings.
The standard response spectrum analysis (RSA) for elastic buildings is reformulated as a
Modal Pushover Analysis (MPA). The peak response of the elastic structure due to its nth
vibration mode can be exactly determined by pushover analysis of the structure subjected to
lateral forces distributed over the height of the building according to *
sn =mφn , where m is the
mass matrix and φ n its nth-mode, and the structure is pushed to the roof displacement
determined from the peak deformation Dn of the nth-mode elastic SDF system. Combining
these peak modal responses by modal combination rule leads to the MPA procedure
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