Civil Engineering Association

Simulated earthquake motions compatible with prescribed response spectra
Vanmarcke, Erik H.; Gasparini, Dario A.

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SIMQKE1 +user manual
Title: Simulation of Earthquake Ground Motions

Developer: E.H. Vanmarcke, C.A. Cornell, D.A. Gasparini, and S.N. Hou,
Department of Civil Engineering, Massachusetts Institute of Technology,
Cambridge, Massachusetts 1976.

Modified: T.F. Blake, Newbury Park, California [PC DOS version] 1990.

Category: Strong Motion Data Processing

Platform: PC DOS, MS Fortran v.4.1;
IBM, VM/CMS, Fort4H;
VAX, VM/CMS, f77

Reference: Gasparini, D.A., and E.H. Vanmarcke, "Simulated Earthquake
Motions Compatible With Prescribed Response Spectra," Department of Civil
Engineering, Research Report R76-4, Masschusetts Institute of Technology,
Cambridge, Massachusetts, January 1976.

Vanmarcke, E.H., "Structural Response to Earthquakes," Chapter 8 in
"Seismic Risk and Engineering Decisions," Edited by C. Lomitz and E.
Rosenblueth, published by Elsevier Publishing Co., Amsterdam, 1976.

Summary: SIMQKE-1 generates statistically independent accelerograms,
performs a baseline correlation on the generated motions to ensure zero
final ground velocity, and calculates response spectra. One of the options
in the program generates ground motions whose response spectra "match",
or are compatible with, a set of specified smooth response spectra. The
basis for the spectrum compatible motion generation is the relationship
between the response spectrum values for arbitrary damping and the
"expected" Fourier amplitudes of the ground motion (Vanmarcke, 1976).
The earthquakes are synthesized by superimposing sinusoidal components
with pseudo-random phase angles, and by multiplying the resulting
stationary trace by a user specified function representing the variation
of ground motion intensity with time. The program SIMQKE-1 also has the
capability to adjust, by iteration, the ordinates of the spectral density
function to improve the agreement between computed and specified response
spectra. Even without the last step, the average response spectrum (of a
set of simulated motions) will match the smooth target spectrum very
closely.

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