Random Vibration에 대한 Review

Abstract

Random Vibration을 해석하는 기초이론을 간단히 소개하고 이것을 근거로 Random Vibration에서 특히 중요하게 다루어진 두가지 대표적인 문제 즉 Mean-Square Response와 First-Passage Prabability를 지난 약15년간에 발표된 논문중에서 골라 다시 살펴보았다. 기초 이론에서 Spectral Density Function, Autocorrelation Function, Probability Density Function을 정의하고 Stationary Extreme Point Process를 사용해서 Poisson 및 Markov Process에 대한 First-Passage Probability를 계산했다. Nonstationary Excitation에 대한 Mean-Square Response는 Excitation을 Wide Band일 때와 Narrow Band일 때로 구분해서 각각의 경우에 Upper Bound를 구하고 몇가지의 예를 들어 그림표를 그렸다.

After introducing a fundamental theory to analyze random vibration, tow most improtant and also typical problems of the subject, that is, mean-square response and first-passage probability, were reviewed from the papers written duting the last 15 years. It was shown how to define sectral density funcion, autocorrelation fuction, and probability density function, and then firstpassage probabilies for Poisson process and Markov process using stationary extreme point process, and the upper bound of mean-square reponse to wide band excitation and narrow band excitation were calculated. Curves were drawn for some sample envelope functions in each case.

After introducing a fundamental theory to analyze random vibration, tow most improtant and also typical problems of the subject, that is, mean-square response and first-passage probability, were reviewed from the papers written duting the last 15 years. It was shown how to define sectral density funcion, autocorrelation fuction, and probability density function, and then firstpassage probabilies for Poisson process and Markov process using stationary extreme point process, and the upper bound of mean-square reponse to wide band excitation and narrow band excitation were calculated. Curves were drawn for some sample envelope functions in each case.