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Erschienen in:
2014 | OriginalPaper | Buchkapitel
3. Response of Simple Structures to Earthquake Ground Motions
verfasst von : Halûk Sucuoğlu, Sinan Akkar
Erschienen in: Basic Earthquake Engineering
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Abstract
Our approach starts with developing response analysis procedures for a single degree of freedom system. We present the derivation of the equations of motion governing its free vibration response (simple harmonic motion) and forced vibration response. Then we solve the equations of motion of undamped and damped systems first under harmonic force excitation by developing classical, closed form analytical solution procedures, and then solve them under earthquake ground excitations by developing numerical solution procedures. This solution under earthquake ground excitations also leads to earthquake response spectra. Finally these procedures are extended to systems with nonlinear force-deformation relations where hysteresis rules are defined and the concepts of ductility, strength, ductility reduction factor, strength spectra and ductility spectra are introduced.