Random Vibration Of Structures With Strong Non-linearities Subjected To Seismic Excitation
Author(s)
H.0. Soliman, A.E. Bakry
Abstract
Random vibration of structures with strong
non-linearities subjected to seismic excitation
H.O. Soliman, A.E. Bakry
Faculty of Engineering, Zagazig University, Egypt
Abstract
The response of nonlinear structures subjected to earthquake excitation modeled
by white noise random process is calculated. The non-linearity of structural
elements is modeled by a first order differential equation representing a curvi-
linear relationship between the restoring force and the displacement, that is
suitable for the dynamic analysis of structures. The spectral method of analysis is
used to obtain the Root Mean Square response of the structure using the complex
frequency function of the structural system. The equivalent linearization
technique is used to obtain the equivalent linear parameters for stiffness and
damping of the non-linear structure. The degree of nonlinearity, and the damping
ratio of the structure are investigated through the parametric study.
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