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1.
Hybrid numerical—experimental approach for investigation of dynamics of microcantilever relay system
V. Ostasevicius S. Tamulevicius A. Palevicius M. Ragulskis R. Palevicius V. Grigaliunas 《Optics and Lasers in Engineering》2005,43(1):199
The time average holography measurements of the vibrating microelectromechanical switch (MEMS) were performed in this study. Experimental measurement results exhibit good agreement with computer generated holographic interferogram analysis. The validation of experimental investigations versus numerical analysis provides the necessary background to analyze the dynamical characteristics of micromechanical systems in virtual numerical environments. Direct application of fringe counting techniques for reconstruction of motion from time average holograms cannot be straightforward if the analyzed micromechanical systems contain motion limiters. Modifications of a classical time average holographic technique enable qualitative analysis of MEMS and can be applied for investigation of dynamical properties of much broader classes of MEMS systems. 相似文献
2.
An extended Newton’s discrete dynamical system with a complex control parameter is investigated in this paper. A novel computational algorithm is introduced for the evaluation of Wada measure. A nontrivial relationship between the fractal dimension and the Wada measure is revealed in NDDS. It is demonstrated that the reduction of the fractal dimension of basin boundaries of coexisting attractors does not automatically imply a lower Wada measure of these boundaries. Computational experiments are used to illustrate what impact the complexity of the relationship between fractal dimension and Wada measure does have in practical applications. 相似文献
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Algebraic approach for the exploration of the onset of chaos in discrete nonlinear dynamical systems
Minvydas Ragulskis Zenonas Navickas Rita Palivonaite Mantas Landauskas 《Communications in Nonlinear Science & Numerical Simulation》2012,17(11):4304-4315
An algebraic approach based on the rank of a sequence is proposed for the exploration of the onset of chaos in discrete nonlinear dynamical systems. The rank of the partial solution is identified and a special technique based on Hankel matrices is used to decompose the solution into algebraic primitives comprising roots of the modified characteristic equation. The distribution of roots describes the dynamical complexity of a solution and is used to explore properties of the nonlinear system and the onset of chaos. 相似文献
5.
The effect of dynamical self-orientation and its applicability for the identification of natural frequencies of the investigated
systems is demonstrated in this paper. Unidirectional vibration exciter is fixed to the investigated systems via a pivot link
and can rotate around it. It is shown that the exciter changes its orientation in the steady state motion mode when the frequency
of excitation sweeps over the fundamental frequency of the examined system. Approximate analytical analysis of the discrete
system illustrates the basic principle of the effect of dynamical self-orientation. Numerical analysis of both the discrete
and different continuous elastic systems confirms the applicability of the effect of self-orientation for the identification
of natural frequencies. 相似文献
6.
Saunoriene Loreta Ragulskis Minvydas Cao Jinde Sanjuán Miguel A. F. 《Nonlinear dynamics》2021,104(1):739-751
Nonlinear Dynamics - The Wada index based on the weighted and truncated Shannon entropy is presented in this paper. The proposed Wada index can detect if a given basin boundary is a Wada boundary.... 相似文献
7.
Minvydas Ragulskis Algiment Aleksa Rimas Maskeliunas 《Optics and Lasers in Engineering》2009,47(7-8):768-773
Moving average contrast enhancement techniques are applied for visualization of time-averaged fringes produced by time average projection moiré. The complexity of the problem is based on the fact that grayscale levels at centerlines of fringes depend from the geometrical location of these fringes. Moreover, moiré grating geometry determines the direction of sensitivity to dynamic deflections. Standard fringe visualization methods fail to produce interpretable results. The developed pixel-based analysis techniques enable efficient reconstruction of projected fringes. 相似文献
8.
Minvydas Ragulskis Rimas Maskeliunas Liutauras Ragulskis Vytautas Turla 《Optics and Lasers in Engineering》2005,43(9):3640
Geometric moiré fringe formation method is a classical well-established experimental technique with numerous practical applications. This paper proposes the application of time-average geometric moiré analysis for the determination of dynamic displacements of the lithographic press rubber roller. This optical measurement technique is a natural extension of double-exposure geometric moiré for the identification of dynamic displacements of vibrating elastic structures. Experimental investigations prove the validity and effective practical applicability of the method. 相似文献
9.
Zenonas Navickas Liepa Bikulciene Maido Rahula Minvydas Ragulskis 《Communications in Nonlinear Science & Numerical Simulation》2013,18(6):1374-1389
Solutions of the KdV equation are derived by the algebraic operator method based on generalized operators of differentiation. The algebraic operator method based on the generalized operator of differentiation is exploited for the derivation of analytic solutions to the KdV equation. The structure of solitary solutions and explicit conditions of existence of these solutions in the subspace of initial conditions are derived. It is shown that special solitary solutions exist only on a line in the parameter plane of initial and boundary conditions. This new theoretical result may lead to important findings in a variety of practical applications. 相似文献
10.
Zenonas Navickas Minvydas Ragulskis Alfonsas Vainoras Rasa Smidtaite 《Communications in Nonlinear Science & Numerical Simulation》2012,17(11):4430-4438
The effect of explosive divergence in generalized iterative maps of matrices is defined and described using formal algebraic techniques. It is shown that the effect of explosive divergence can be observed in an iterative map of square matrices of order 2 if and only if the matrix of initial conditions is a nilpotent matrix and the Lyapunov exponent of the corresponding scalar iterative map is greater than zero. Computational experiments with the logistic map and the circle map are used to illustrate the effect of explosive divergence occurring in iterative maps of matrices. 相似文献