Dynamic behavior of ground for seismic analysis of lifeline systems
A mathematical formula is derived for the general wave transfer function in multilayered media with inhomogeneous and nonlinear properties of soil. It is assumed that the ground consists of horizontally stratified layers overlying a homogeneous half space which is excited by vertically incident, plane shear waves. To formulate the nonlinear harmonic wave solution, the surface layer is regarded as a multilayered system consisting of infinite numbers of sublayers with infinitesimal thicknesses. The mode superposition procedure based on response spectrum provides an expedient tool for dynamic analysis of surficial ground. The characteristic equation for obtaining natural frequencies and free vibration modes is derived by using the proposed wave transfer function. To use the modal analysis for nonlinear systems, a repetition scheme for calculating the model stiffness and damping is proposed which is an adaptation of the equivalent linearization technique. The estimation of intensity of ground shaking is based on a response spectrum for stationary random vibration analysis. The results in conjunction with fatigue theory are used to study the liquefaction problem in soil layers with general topography. Application of the proposed methods in seismic reliability assessment of lifeline systems is discussed.
- Research Organization:
- Earthquake Engineering Research Inst., Berkeley, CA (USA)
- OSTI ID:
- 6153224
- Report Number(s):
- N-8310287; PB-82-218926; UCB/EERC-82/01
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
EARTHQUAKES
DYNAMICS
WAVE PROPAGATION
EQUATIONS OF MOTION
LIQUEFACTION
SEISMIC WAVES
SOIL MECHANICS
SOILS
TRANSFER FUNCTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
SEISMIC EVENTS
THERMOCHEMICAL PROCESSES
580201* - Geophysics- Seismology & Tectonics- (1980-1989)