ASCE will be sunsetting the Civil Engineering Database (CEDB) in the coming months. We encourage you to start using the ASCE Library to perform content searches. In the ASCE Library, you can save your search results as well as receive email content alerts when new content relevant to your area of interest is published. Try it out today at https://ascelibrary.org.

 

Spectral Distribution Free Bounds on the Response Variability of Stochastic Systems

by George Deodatis, Princeton Univ, United States,
Masanobu Shinozuka, Princeton Univ, United States,



Document Type: Proceeding Paper

Part of: Structural Safety and Reliability

Abstract:

A methodology to analytically and numerically evaluate the spectral distribution-free upper bounds of the response variability of stochastic systems is developed. The structural systems examined consist of statically determinate and indeterminate beams subjected to static loads. The analytical evaluation of these bounds is achieved by introducing the 'variability response function' of the stochastic system. This is a function with many similarities to the frequency response function used in random vibration analysis. The numerical evaluation of the bounds is carried out by means of the 'fast Monte Carlo simulation' technique. In essence, the 'fast Monte Carlo simulation' technique is a method to estimate numerically the 'variability response function' whose analytical evaluation is particularly cumbersome even for very simple stochastic systems.

Subject Headings: Stochastic processes | Structural systems | Static loads | Numerical models | Monte Carlo method | Vibration | Beams

Services: Buy this book/Buy this article

 

Return to search