6533b7d5fe1ef96bd12650ce

RESEARCH PRODUCT

Stochastic seismic analysis of multidegree of freedom systems

Giuseppe MuscolinoM. Di PaolaM. Ioppolo

subject

Stochastic processMathematical analysisLinear systemDegrees of freedom (statistics)stochastic analysisDuffing equationAcceleration (differential geometry)earthquakes; probability theory; stochastic analysisSeismic analysisNonlinear systemEarthquake simulationControl theoryprobability theoryearthquakesCivil and Structural EngineeringMathematics

description

Abstract A unconditionally stable step-by-step procedure is proposed to evaluate the mean square response of a linear system with several degrees of freedom, subjected to earthquake ground motion. A non-stationary modulated random process, obtained as the product of a deterministic time envelope function and a stationary noise, is used to simulate earthquake acceleration. The accuracy of the procedure and its extension to nonlinear systems are discussed. Numerical examples are given for a hysteretic system, a duffing oscillator and a linear system with several degrees of freedom.

10.1016/0141-0296(84)90004-xhttp://hdl.handle.net/11570/3205422