共查询到20条相似文献,搜索用时 0 毫秒
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IntroductionAnonlineardynamicalsystemmayexhibitcomplexdynamicbehaviorinthevicinityofacompoundcriticalpoint[1].AccordingtothestructureoftheJacobianevaluatedatthecriticalpoint,thesystemsmaybeclassified,ingeneral,asco_dimensionone,co_dimensiontwo,etc.[2].Wheno… 相似文献
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Sun Jian-hua 《应用数学和力学(英文版)》1988,9(12):1195-1204
In this paper the existence and uniqueness of the periodic solution is studied for a class of second order nonautonomic pendulum aystems x + ax + ψ(t)sinx=F(t) anil the parameter regions tor which the system in chaos is myestigated when ψ(t)=1-ελcosωt, F(t)=β +εμ(cosωt-ωsinωt) and the tamping coefficient a>0 is large. The result obtained generalize the corresponding conclusions of papers [1-8]. 相似文献
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D. M. Lila 《International Applied Mechanics》2011,46(11):1298-1310
The equation of motion of a spherical pendulum suspended at some point of a horizontal string is derived using a hybrid model
of this mechanical system. The conditions for the asymptotic stability of the stationary motion of the spherical pendulum
interacting with the elastic string are established 相似文献
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In experiments performed on elastic, complete spherical shells of large radius-to-thickness ratio, pressure and volume-displacement instrumentation and photography were used to study postbuckling behavior. Photographs of a number of the distinct modes observed are presented. 相似文献
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The damping effects are generated in a frictionless oscillating physical pendulum by a continuous motion of an auxiliary mass. The main parameters affecting the damping properties of the pendulum-mass system are identified. In particular, the effective damping ratio for a cycle is introduced and derived in a closed form from the energy considerations and then independently from Mathieu's equation. It is shown that a continuous damping can be achieved if the mass motion is synchronized with the pendulum rotation. Otherwise the system becomes prone to ‘beating’ phenomenon. The results presented may be useful for design of active control strategy of autonomous systems with negligible passive damping. 相似文献
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We propose a general model for pendular systems with an arbitrary number of links arranged sequentially. The form of this
model is easily adaptable to different settings and operating conditions. The main subject of analysis is a system obtained
as a specific case taken from the general analysis, a three-links pendulum with damping subject to periodic perturbation.
We performed a theoretical analysis of the frequency response and compared it with results from temporal integration. Moreover,
a law was obtained explaining the behavior of the shift of the resonant frequencies due to a change in a parameter. 相似文献
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Meccanica - In this work, planar free vibrations of a single physical pendulum are investigated both experimentally and numerically. The laboratory experiments are performed with pendula of... 相似文献
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Litak Grzegorz Margielewicz Jerzy Gąska Damian Yurchenko Daniil Dąbek Krzysztof 《Nonlinear dynamics》2020,102(4):2125-2142
Nonlinear Dynamics - This paper examines the oscillations of a spherical pendulum with horizontal Lissajous excitation. The pendulum has two degrees of freedom: a rotational angle defined in the... 相似文献
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Summary A solution method is developed for a laminated spherical shell, subject to uniform normal tractions or constant radial displacements
on the boundary. Displacements and stresses in the shell can be obtained from the solution formulas, which are as simple as
those for homogeneous spherical shells. These formulas are accurate when the thicknesses of the constituent spherical layers
are small in comparison with the radii of the shell, and become exact in case these thicknesses tend to zero under a fixed
overall shell thickness. The solution is obtained mainly by exactly treating the product of an infinitely large number of
matrices which link the displacements and stresses in different constituent spherical layers. A continuous analysis and a
number of numerical results are provided to validate this development.
Received 4 December 1996; accepted for publication 12 September 1997 相似文献
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An investigation of the dynamic behavior of a driven Froude pendulum is carried out. Numerical solutions of a highly non-linear Froude pendulum are developed by making use of the piecewise-constant procedure. Periodic, quasiperiodic and chaotic motions of the pendulum are distinguished by making use of the criterion of periodicity ratio and are graphically demonstrated for varying system parameters and different initial conditions. Periodic and quasiperiodic routes to chaos are analyzed on the basis of period–quasiperiodic–chaotic diagrams. 相似文献
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A. S. Popel' 《Fluid Dynamics》1974,9(6):1022-1024
One of the basic mechanisms through which biological cells preserve the consistency of their structure is the regulation of material exchange between cell and surrounding medium. The regulation is performed by a thin semipermeable membrane surrounding the cell; it passes some materials freely, while allowing only slight transmission of others, or completely blocking passage. Water shows the maximum penetrating power. If there exists on both sides of the membrane an aqueous solution of some material which does not penetrate the membrane, then under the influence of osmotic pressure water flows into that region where the material concentration is higher, as long as the difference in hydrostatic pressure does not suppress the motion [1, 2]. The viscous flow which develops may lead to displacement of a particle. 相似文献
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捷联惯组减振系统角振动、线振动共振频率理论分析 总被引:1,自引:0,他引:1
当前实际工程中,角振动试验技术和设备尚不成熟。以指导捷联惯组减振系统设计过程为目的,结合捷联惯性组合减振系统对角共振频率的特殊要求,对线振动、角振动共振频率的关系进行了分析与讨论。建立了捷联惯性组合减振系统的动力学模型,得到了捷联惯组减振系统数学模型,利用刚体动力学方法分析捷联惯组的转动惯量和回转半径,得出理想情况下捷联惯性组合减振系统线共振、角共振频率存在一定的比例关系,并与减振器安装中心到转动中心线的平均距离和惯组回转半径有关的结论。最后讨论了改变减振系统刚度和减振器布置方式两种改变共振频率的方法,并对两种方法进行了比较。 相似文献
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In this paper, the phenomenon of stochastic resonance (SR) in a prototype fluctuating damping harmonic oscillator with trichotomous Markovian noise is investigated. The exact expression of output amplitude gain has been calculated using the well-known Shapiro–Loginov formula. The phenomenon of SR has been found in a broad sense—that is, the non-monotonic behavior of output amplitude gain as a function of noise parameters. Then the influences of noise amplitude, noise switching rate, and noise flatness on the output amplitude gain have also been discussed. Finally, the reverse resonance phenomenon has been presented. 相似文献