The problem of response of vibratory systems to random excitations is formulated in terms of stochastic point processes. The problems posed by Roberts in recent contributions are dealt with in great detail and some general methods of point processes which are applicable in a wider context are also studied through certain correlation functions known as product densities. © 1967.

Ramachandran Subramanian

S. Kumaraswamy

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Response of linear vibratory systems to non-stationary stochastic impulses

Journal of Sound and Vibration

An explicit expression for the characteristic functional of nonstationary shot noise is obtained with the help of Lin’s formulation. This enables us to obtain moments and correlations of all orders by appropriate functional differentiation. © 1970 by ASME.

Journal of Applied Mechanics, Transactions ASME

Characteristic functional of nonstationary shot noise

Symposia on Theoretical Physics and Mathematics 9

Stochastic Integration and Differential Equations— Physical Approach

Il Nuovo Cimento A

Sequent correlations in stochastic point processes-II

A model of Barkhausen noise proposed by Mazzetti is analysed using product density techniques and the results relating to power spectrum of the response are derived in a simple manner. More realistic models are investigated by introducing non-Markovian features in the basic process governing the distribution of pulses. Such a model describes correlations exhibiting a memory longer than that of a simple renewal process. General results for the power spectra of the response are explicitly obtained. A few interesting features arising from the dependence of the time interval distribution on the total number of events are pointed out. © 1966 Società Italiana di Fisica.

Il Nuovo Cimento B Series 10

On a glass of non-markovian processes associated with correlated pulse trains and their application to Barkhausen noise

The response of linear vibratory systems to random impulses

The Journal of the Acoustical Society of America

Nonstationary Excitation and Response in Linear Systems Treated as Sequences of Random Pulses

Journal	Journal of Sound and Vibration
ISSN	0022460X
Open Access	No