nonstationary oscillations
Recently Published Documents


TOTAL DOCUMENTS

27
(FIVE YEARS 0)

H-INDEX

8
(FIVE YEARS 0)

2018 ◽  
Vol 5 (9) ◽  
pp. 473-485 ◽  
Author(s):  
B. Martinez-Lopez ◽  
A. I. Quintanar ◽  
W. D. Cabos-Narvaez ◽  
C. Gay-Garcia ◽  
D. V. Sein

2015 ◽  
Vol 22 (5) ◽  
pp. 053113 ◽  
Author(s):  
O. Dumbrajs ◽  
H. Kalis

2014 ◽  
Vol 57 (3) ◽  
pp. 469-476
Author(s):  
Yu. Petrov ◽  
V. Smirnov ◽  
A. Utkin ◽  
V. Bratov

2011 ◽  
Vol 21 (10) ◽  
pp. 2919-2928
Author(s):  
E. L. MANEVITCH ◽  
L. I. MANEVITCH

The concept of limiting phase trajectories (LPT) has been introduced by one of the authors to describe intensive energy exchange between weakly coupled oscillators or oscillatory chains. It turns out that LPT can be considered as an alternative to nonlinear normal modes (NNMs), which are characterized by conservation of energy. LPT (in the introduced coordinates) describes the vibroimpact-type process with saw-tooth amplitude and a discontinuous derivative. It was shown earlier that this concept could also be extended to systems with one degree of freedom (DoF). In this case energy exchange between the oscillator and the source of energy can occur. In this paper, we generalize the above results in several ways, namely: (1) a consideration of the asymmetry of elastic potential; (2) a detailed description of the origin of vibroimpact-type behavior and the transition from nonresonant nonstationary oscillations to resonant ones (3) a direct application of obtained results to transient vibrations in strongly asymmetric 2DoF systems.


2006 ◽  
Vol 32 (1) ◽  
pp. 116-121 ◽  
Author(s):  
S. G. Kuklin ◽  
A. A. Dzizinskii ◽  
Yu. M. Titov ◽  
A. A. Temnikov

Author(s):  
Rudi R. Pusenjak ◽  
Jurij Avsec ◽  
Maks M. Oblak

The paper presents the extended Lindstedt-Poincare (ELP) method, which applies multiple time scales to treat nonstationary oscillations arising in dynamical systems with cubic non-linearities. The passage through the resonance is conducted to study deviations from the stationary response. The method is applied to the dynamical systems such as Duffing oscillator and van der Pol oscillator, whereat effects of varying the excitation frequency and varying the excitation amplitudes, respectively are studied. It is shown that application of multiple scales benefits to find more accurate expressions of stationary responses in comparison to the conventional Lindstedt-Poincare method and consequently contributes to the versatile and effective calculation of the nonstationary frequency response curves.


2001 ◽  
Vol 8 (10) ◽  
pp. 4608-4612 ◽  
Author(s):  
M. I. Airila ◽  
O. Dumbrajs ◽  
A. Reinfelds ◽  
U. Strautiņš

Sign in / Sign up

Export Citation Format

Share Document