scholarly journals CHAOTIC DYNAMICS OF FLEXIBLE RECTANGULAR PANELS IN WHITE NOISE FIELD

2016 ◽  
pp. 82-92 ◽  
Author(s):  
Ekaterina Krylova ◽  
Tatyana Yakovleva ◽  
Valentin Bazhenov
Author(s):  
J. Awrejcewicz ◽  
A. V. Krysko ◽  
I. V. Papkova ◽  
N. P. Erofeev ◽  
V. A. Krysko

2019 ◽  
Author(s):  
Ольга Салтыкова ◽  
Olga Saltykova ◽  
Александр Кречин ◽  
Alexander Krechin

The purpose of this work is to study and scientific visualization the effect of additive white noise on the nonlinear dynamics of beam structure contact interaction, where beams obey the kinematic hypotheses of the first and second approximation. When constructing a mathematical model, geometric nonlinearity according to the T. von Karman model and constructive nonlinearity are taken into account. The beam structure is under the influence of an external alternating load, as well as in the field of additive white noise. The chaotic dynamics and synchronization of the contact interaction of two beams is investigated. The resulting system of partial differential equations is reduced to a Cauchy problem by the finite difference method and then solved by the fourth order Runge-Kutta method.


1995 ◽  
Vol 35 (1) ◽  
pp. S128
Author(s):  
H Hettesheimer
Keyword(s):  

1987 ◽  
Vol 24 (03) ◽  
pp. 574-585 ◽  
Author(s):  
Enzo Orsingher

In this paper we obtain an upper bound for the maximum of random fields of the form , where CP denotes circles of fixed radius and dW(P′) is a plane white noise field. The results presented are obtained by means of successive steps involving Slepian's lemma for random fields, inequalities on Brownian fields and planar stochastic integrals.


1989 ◽  
Vol 21 (4) ◽  
pp. 770-780 ◽  
Author(s):  
Enzo Orsingher ◽  
Bruno Bassan

In this paper we compare the distribution of the supremum of the Gaussian random fields Z(P) = ∫CpG(P, P′) dW(P′) and U(P) = ∫CpdW(P'), where CP are circles of fixed radius, dW is a white noise field and G are special deterministic response functions.The results obtained permit us to establish upper bounds for the distribution of the supremum of Z(P) by applying some well-known inequalities on U(P).The comparison of the suprema is carried out also, when CP = ℝ2, between fields with different response functions.


1995 ◽  
Vol 35 ◽  
pp. S128
Author(s):  
H. Hettesheimer ◽  
F. Gelisken ◽  
C. Erb ◽  
I. Kreissig
Keyword(s):  

2016 ◽  
Vol 79 ◽  
pp. 225-253 ◽  
Author(s):  
J. Awrejcewicz ◽  
A.V. Krysko ◽  
I.V. Papkova ◽  
V.M. Zakharov ◽  
N.P. Erofeev ◽  
...  

1987 ◽  
Vol 24 (3) ◽  
pp. 574-585 ◽  
Author(s):  
Enzo Orsingher

In this paper we obtain an upper bound for the maximum of random fields of the form , where CP denotes circles of fixed radius and dW(P′) is a plane white noise field.The results presented are obtained by means of successive steps involving Slepian's lemma for random fields, inequalities on Brownian fields and planar stochastic integrals.


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