𝔖 Bobbio Scriptorium
✦   LIBER   ✦

AN IDENTIFICATION TECHNIQUE FOR NON-LINEAR DYNAMICAL SYSTEMS UNDER STOCHASTIC EXCITATIONS

✍ Scribed by M. Kulisiewicz; R. Iwankiewicz; S. Piesiak

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
310 KB
Volume
200
Category
Article
ISSN
0022-460X

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✦ Synopsis

An identification technique is devised for SDOF dynamical mechanical systems under random excitations. The system is assumed to be governed by a non-linear equation of motion in general form, in which the restoring force and the dissipative terms are given by arbitrary power functions. Algebraic equations are obtained for the expectations of some suitable excitation and response quantities. It is shown that these equations are valid for any stationary random excitations if the system attains the steady state. Based on these equations, an identification technique has been devised and verified experimentally for white noise and coloured (pink) noise random excitations.

πŸ“œ SIMILAR VOLUMES

MODAL IDENTIFICATION OF WEAKLY NON-LINEA
MODAL IDENTIFICATION OF WEAKLY NON-LINEAR MULTIDIMENSIONAL DYNAMICAL SYSTEMS USING A STOCHASTIC LINEARISATION METHOD WITH RANDOM COEFFICIENTS
✍ C. Soize; O. Le Fur πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 438 KB

It is known that an efficient approach for modal identification of a weakly non-linear multidimensional second-order dynamical system consists of using a model based on equivalent stochastic linearisation with constant coefficients. Such a model leads to a good identification of the total power of t

COMMENTS ON β€œIDENTIFICATION OF MULTI-DEG
COMMENTS ON β€œIDENTIFICATION OF MULTI-DEGREE-OF-FREEDOM NON-LINEAR SYSTEMS UNDER RANDOM EXCITATIONS BY THE β€˜REVERSE PATH’ SPECTRAL METHOD”
✍ J.A. FITZPATRICK; H.J. RICE πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 65 KB

The authors of reference [1] are to be commended for implementing the &&reverse path'' non-linear spectral analysis method for identifying the constituents elements of simulated three-and "ve-degree-of-freedom (d.o.f.) non-linear systems. However, we feel that the paper requires some comment as to o

EXACT STATIONARY PROBABILITY DENSITY FOR
EXACT STATIONARY PROBABILITY DENSITY FOR SECOND ORDER NON-LINEAR SYSTEMS UNDER EXTERNAL WHITE NOISE EXCITATION
✍ R. Wang; K. Yasuda πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 176 KB

In this paper exact stationary solutions are constructed for non-linear dynamical systems subjected to stochastic excitation. The solution of the equations (6, 7) in this paper is demonstrated to be unique, and then the results of references [10,11] are shown to be generalized. Therefore, new exact