๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

RESPONSE OF DYNAMIC SYSTEMS TO POISSON WHITE NOISE

โœ Scribed by M. Grigoriu

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
287 KB
Volume
195
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

โœฆ Synopsis

A method is developed for finding response statistics and reliability for a non-linear system subjected to Poisson white noise. The Poisson white noise can be viewed as a sequence of independent identically distributed pulses arriving in time according to a Poisson counting process. The method is based on the observation that the system experiences free vibrations between consecutive pulses of the input. Two algorithms are used for analysis. The first uses the definition of the Poisson white noise and the second is based on an approximate representation of the Poisson white noise, referred to as binomial white noise. The binomial white noise is an independent time series with a fixed time step that can be zero with a finite probability. The time step of the first and second algorithms are random and deterministic, respectively. The algorithms are used to calculate transition probabilities and estimate response statistics. Numerical examples are presented to demonstrate the proposed method of response and reliability analysis.

๐Ÿ“œ SIMILAR VOLUMES

Fast Solvers for the White Noise Analysi
Fast Solvers for the White Noise Analysis of Stochastic Systems
โœ H.G. Matthies; A. Keese ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons โš– 102 KB ๐Ÿ‘ 1 views

We consider fast numerical methods for computing the response of stochastic systems. The stochastic discretization is performed via a Karhunen-Loรฉve and Wiener's polynomial chaos expansion. In truncating this expansion and using a Galerkin projection, a finite dimensional system of equations remains

Subjective responses of Chinese to aircr
Subjective responses of Chinese to aircraft noise
โœ N.W.M. Ko; P.C.K. Lei ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 466 KB

## A social study was undertaken of the subjective responses to aircraft noise of 909 Chinese in Hong Kong. The study population lil'es near, or adjacent to, the flight-paths of aircraft landing at, or taking off from, the international airport of Kai Tak. The subjective responses of the Chinese c

DYNAMIC RESPONSE OF AN OVERHEAD CRANE SY
DYNAMIC RESPONSE OF AN OVERHEAD CRANE SYSTEM
โœ D.C.D. Oguamanam; J.S. Hansen; G.R. Heppler ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 253 KB

A simply supported uniform Euler-Bernoulli beam carrying a crane (carriage and payload) is modelled. The crane carriage is modelled as a particle as is the payload which is assumed to be suspended from the carriage on a massless rigid rod and is restricted to motion in the plane defined by the beam