High-Rise Buildings under Multi-Hazard Environment: by Mingfeng Huang

By Mingfeng Huang

This ebook discusses performance-based seismic and wind-resistant layout for high-rise construction constructions, with a specific concentrate on developing an built-in method for performance-based wind engineering, that's presently much less complicated than seismic engineering. This publication additionally presents a state of the art overview of diverse methodologies, together with computational fluid dynamics (CFD), severe worth research, structural optimization, vibration regulate, pushover research, reaction spectrum research, modal parameter id for the overview of the wind-resistant and seismic functionality of tall structures within the layout level and real tall constructions in use. a number of new structural optimization equipment, together with the augmented optimality standards strategy, were built and hired within the context of performance-based layout. This publication is a worthy source for college students, researchers and engineers within the box of civil and structural engineering.

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Only when the excitations are Gaussian white noises, the exact solution is possible to obtain by solving the FPK equation governing the transition probability density of a Markov process, together with initial and boundary conditions (Caughey 1971; Caughey and Ma 1982; Dimentberg 1982; Zhu 1990). Recently, Proppe (2003) presented exact stationary probability density functions for nonlinear systems under Poisson white noise excitation. Dimentberg (2005) obtained an explicit expression of a stationary joint probability density of displacements and velocities, which is served as an exact analytical solution to the corresponding FPK equation for random vibrations of a rotating shaft with nonlinear damping.

As a consequence, there arises the problem of the closure of the system in Eq. , of its reduction to a closed system of a finite number of equations. Suitable closure schemes have to be adopted. The simplest closure scheme is the 22 2 Overview on Performance-Based Engineering … Gaussian closure (GC) (Ibrahim et al. 1985) in which the higher-order moments are expressed in terms of the first two moments, as if the response process were a Gaussian one. In the special case of purely additive white noise excitations, this procedure is analogous to another extensively used approximate method for predicting nonlinear responses, called stochastic linearization (SL) (Roberts and Spanos 1990).

For randomly excited nonlinear dynamic systems, the exact solutions are usually very difficult to obtain. Only when the excitations are Gaussian white noises, the exact solution is possible to obtain by solving the FPK equation governing the transition probability density of a Markov process, together with initial and boundary conditions (Caughey 1971; Caughey and Ma 1982; Dimentberg 1982; Zhu 1990). Recently, Proppe (2003) presented exact stationary probability density functions for nonlinear systems under Poisson white noise excitation.

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