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101.
Nonlinear resonances and self-excited oscillations of a rotor caused by radial clearance and collision 总被引:1,自引:0,他引:1
This paper investigates oscillations in a flexible rotor system with radial clearance between an outer ring of the bearing
and a casing by experiments and numerical simulations. The mathematical model considers the collisions of the bearing with
the casing. The following phenomena are found: (1) Nonlinear resonances of subharmonic, super-subharmonic and combination
oscillation occur. (2) Self-excited oscillation of a forward whirling mode occurs in a wide range above the major critical
speed. (3) Entrainment phenomena from self-excited oscillation to nonlinear forced oscillation occur at these nonlinear resonance
ranges. Moreover, this study analyzes periodic solutions of the mathematical model by the Harmonic Balance Method (HBM). As
the results, the nonlinear resonances of subharmonic oscillation and its entrainment phenomenon can be explained theoretically
by investigating the stability of the periodic solutions. The influence of the static force and the bearing damping on these
oscillation are also clarified. 相似文献
102.
This paper is devoted to study the existence of multiple positive solutions for the second order periodic boundary value problem with impulse effects. The main results here are the generalization of Jiang [Daqing Jiang, On the existence of positive solutions to second order periodic BVPs, Acta Math. Sci. 18 (1998) 31–35] for ordinary differential equations. Existence is established via the theory of fixed point index in cones. 相似文献
103.
In this paper, a class of second order discrete Hamiltonian systems without any periodicity assumptions are considered. Base
on the critical point theory, some sufficient conditions for the existence of homoclinic orbits are obtained. The results
obtained extend the results in [2006] by relaxing the assumptions on the sign of the potential.
相似文献
104.
In this paper a general technique for the analysis of nonlinear dynamical systems with periodic-quasiperiodic coefficients
is developed. For such systems the coefficients of the linear terms are periodic with frequency ω while the coefficients of
the nonlinear terms contain frequencies that are incommensurate with ω. No restrictions are placed on the size of the periodic
terms appearing in the linear part of system equation. Application of Lyapunov-Floquet transformation produces a dynamically
equivalent system in which the linear part is time-invariant and the time varying coefficients of the nonlinear terms are
quasiperiodic. Then a series of quasiperiodic near-identity transformations are applied to reduce the system equation to a
normal form. In the process a quasiperiodic homological equation and the corresponding ‘solvability condition’ are obtained.
Various resonance conditions are discussed and examples are included to show practical significance of the method. Results
obtained from the quasiperiodic time-dependent normal form theory are compared with the numerical solutions. A close agreement is found. 相似文献
105.
Marguerite Rinaudo 《European Polymer Journal》2010,46(7):1537-1344
In this paper, the reaction between o-phthaldialdehyde and free NH2 of chitosan is investigated; at a very low molar ratio between the two reactants ([dialdehyde]/[NH2] ∼ 2.5 × 10−4), an increase of the apparent molecular weight is obtained as evidenced from the rheological behaviour. Then, three non-ionic polysaccharides (galactomannan, maltodextrins, methylcellulose) are oxidised to 10% with sodium metaperiodate to obtain polyaldehydic derivatives able to react with free NH2 of chitosan after their direct dissolution into chitosan solution at a molar ratio [monosaccharide units]/[NH2 ] ∼ 0.6. Stable swollen porous gels are obtained with an excellent yield in the presence of a reducing agent (NaBH3CN) chosen to reduce the Schiff base; nearly no influence of the structure of the initial non-ionic polysaccharides is observed when the polysaccharides are oxidized in the same conditions. Different parameters for the reaction of oxidized methylcellulose (Me-ox) with chitosan are tested: influence of the degree of oxidation (up to 50%), and of the oxidised methylcellulose concentration. The larger is the degree of oxidation or the Me-ox concentration, the lower is the degree of swelling (i.e., the larger is the degree of chitosan cross-linkage). The swollen gels formed immediately after reaction are isolated and re-swell in aqueous acidic conditions, a good solvent of initial chitosan, to purify the gel and determine the yield of the reaction and the swelling degree. At the end, preliminary tests of biodegradability of these new gels are performed using specific enzymatic degradation with lysozyme and cellulase in the case of chitosan/Me-ox cogels chosen as example. 相似文献
106.
ZHU Sen & JI YouQing 《中国科学 数学(英文版)》2011,(6)
Let B(H) be the algebra of all bounded linear operators on a complex separable infinite dimensional Hilbert space H.Denote by π the quotient map of B(H) onto the Calkin algebra A(H).In 1984,Apostol et al.raised the following conjecture:If an operator T on H is not similar to a compact perturbation of a Jordan operator,then the similarity orbit of π(T) in A(H) coincides with the π-image of the similarity orbit of T.In this paper,we investigate the structure of similarity orbits in the Calkin algebra and give... 相似文献
107.
Reconstruction of band-limited signals from multichannel and periodic nonuniform samples in the linear canonical transform domain 总被引:1,自引:0,他引:1
Linear canonical transforms (LCTs) are a family of integral transforms with wide application in optical, acoustical, electromagnetic, and other wave propagation problems. This paper addresses the problem of signal reconstruction from multichannel and periodic nonuniform samples in the LCT domain. Firstly, the multichannel sampling theorem (MST) for band-limited signals with the LCT is proposed based on multichannel system equations, which is the generalization of the well-known sampling theorem for the LCT. We consider the problem of reconstructing the signal from its samples which are acquired using a multichannel sampling scheme. For this purpose, we propose two alternatives. The first scheme is based on the conventional Fourier series and inverse LCT operation. The second is based on the conventional Fourier series and inverse Fourier transform (FT) operation. Moreover, the classical Papoulis MST in FT domain is shown to be special case of the achieved results. Since the periodic nonuniformly sampled signal in the LCT has valuable applications, the reconstruction expression for the periodic nonuniformly sampled signal has been then obtained by using the derived MST and the specific space-shifting property of the LCT. Last, the potential applications of the MST are presented to show the advantage of the theory. 相似文献
108.
Ciprian G. Gal 《Physica D: Nonlinear Phenomena》2011,240(7):629-635
We consider a model for the flow of a mixture of two viscous and incompressible fluids in a two or three dimensional channel-like domain. The model consists of the Navier-Stokes equations governing the fluid velocity coupled with a convective Cahn-Hilliard equation for the relative density of atoms of one of the fluids. We prove the instability of certain stationary solutions for such a system endowed with periodic boundary conditions on elongated domains (0,2π/α0)×(0,2π) or (0,2π/α0)×(0,2π)×(0,2π/β0) for a special class of periodic body forces, provided that α0 and β0 are small enough. As a consequence, we deduce a lower bound for the Hausdorff dimension of the global attractor. 相似文献
109.
V. PyragasK. Pyragas 《Physics letters. A》2011,375(44):3866-3871
We propose a simple adaptive delayed feedback control algorithm for stabilization of unstable periodic orbits with unknown periods. The state dependent time delay is varied continuously towards the period of controlled orbit according to a gradient-descent method realized through three simple ordinary differential equations. We demonstrate the efficiency of the algorithm with the Rössler and Mackey-Glass chaotic systems. The stability of the controlled orbits is proven by computation of the Lyapunov exponents of linearized equations. 相似文献
110.
On spurious and corrupted multifractality: The effects of additive noise, short-term memory and periodic trends 总被引:1,自引:0,他引:1
Josef LudescherMikhail I. Bogachev Jan W. KantelhardtAicko Y. Schumann Armin Bunde 《Physica A》2011,390(13):2480-2490
We study the performance of multifractal detrended fluctuation analysis (MF-DFA) applied to long-term correlated and multifractal data records in the presence of additive white noise, short-term memory and periodicities. Such additions and disturbances that can be typically found in the observational records of various complex systems ranging from climate dynamics to physiology, network traffic, and finance. In monofractal records, we find that (i) additive white noise hardly results in spurious multifractality, but causes underestimated generalized Hurst exponents h(q) for all q values; (ii) short-range correlations lead to pronounced crossovers in the generalized fluctuation functions Fq(s) at positions that decrease with increasing moment q, thus causing significantly overestimated h(q) for small q and spurious multifractality; (iii) periodicities like seasonal trends (with standard deviations comparable with the one of the studied process) result in spurious “reversed” multifractality where h(q) increases with increasing q (except for very short time windows). We also show that in multifractal cascades moderate additions of noise, short-range memory, or periodic trends cause flawed results for h(q) with q<2, while h(q) with q>2 remains nearly unchanged. 相似文献