共查询到20条相似文献，搜索用时 31 毫秒
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In this paper,a dynamic model on a rigid rotor-sliding bearing system with a SFD is established.The stability and bifurcation behaviors of the system are studied,on The basis of the differential equations of fluid momentum and mass continuity,the distribution pressure function is derived by taking oil film inertia force into consideration.Damping force, clearance excitation force,interference force of different frequencies and static load are also considered in the model,Finally,the governing equations of the stability and bifurcation behaviors of the system are solved by Floquet theory,Simulation of dynamic model shows that the rigid rotor-sliding bearing system can maintain stability and exhibit a Hopt bifurcation phenomenon in a certain range. 相似文献
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研究了一类两捕食者一食饵的时滞竞争系统模型的Hopf分支。以食饵的成熟时滞为分支参数,通过分析系统模型相应特征方程根的分布,得到系统模型局部渐近稳定和产生局部Hopf分支的充分条件。最后,利用仿真实例对所得结果进行了验证。 相似文献
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讨论具有分布时滞和食饵染病捕食模型.以平均时滞作为分支参数,分析正平衡点的稳定性.证明了当时滞穿过某临界值时,出现Hopf分支. 相似文献
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基于Matlab仿真软件,考虑弹性水击对水轮机调节系统的影响,建立弹性水击水轮机微分代数模型,并与调速器和发电机共同构成水轮机调节系统非线性模型。在此基础上运用非线性动力学分叉理论对PID调速器参数进行Hopf分叉行为研究,得出PID参数三维分叉曲面、二维分叉曲线及稳定域,并通过对时域图、相轨迹图等的综合分析,得到取不同调速器参数时系统的非线性动力学特性,为机组PID参数选择提供理论依据。最后通过系统仿真得出,在小扰动下线性模型和非线性模型均能适用,在大扰动下非线性模型能更真实地反映机组动态特性。 相似文献
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赵瑜 《宁夏师范学院学报》2010,31(3):23-28
研究了一类具有离散和分布时滞的恒化器模型,得到了时滞对系统稳定性的影响：当时滞小于临界值时,正平衡点是局部渐近稳定的;当时滞经过l临界值时,时滞破坏了正平衡点的稳定性,Hopf分支产生了一族经过正平衡点的周期解,并通过数值仿真验证了结果． 相似文献
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以捕食者的妊娠时滞为参数,研究了一类食饵具有阶段结构和Beddington-DeAngelis功能性反应函数的时滞捕食系统。通过分析特征方程根的分布,讨论了系统正平衡点的局部稳定性和Hopf分支的存在性,并利用仿真实例证明了理论分析的正确性。 相似文献
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研究了具时滞水体富营养化模型.从对系统线性化方程的特征方程根的分布分析入手,讨论了系统平衡点的稳定性,确定了系统的线性稳定性区域,并发现当系统中的时滞经过一系列临界值时,系统经历了Hopf分支.最后,数值模拟验证了理论结果. 相似文献
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This paper presents the research on the laws of systematic-parameter dependent variation in the vibration amplitude of drum-brake limit cycle oscillations (LCO). We established a two-degree non-linear dynamic model to describe the low-frequency vibration of the drum brake, applied the centre manifold theory to simplify the system, and obtained the LCO amplitude by calculating the normal form of the simplified system at the Hopf bifurcation point. It is indicated that when the friction coefficient is smaller than the friction coefficient at the bifurcation point, the amplitude decreases; whereas with a friction coefficient larger than the friction coefficient of bifurcation point, LCO occurs. The results suggest that it is applicable to suppress the LCO amplitude by changing systematic parameters, and thus improve the safety and ride comfort when applying brake. These findings can be applied to guiding the design of drum brakes. 相似文献
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考虑了一类捕食者种群染病的捕食-被捕食模型,讨论了正平衡位置的局部稳定性,证明了时滞对正平衡位置稳定性的影响,以及当条件改变时系统在该点处会发生Hopf分支现象。 相似文献
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A rectangular thin plate vibration model subjected to inplane stochastic excitation is simplified to a quasinonintegrable Hamiltonian system with two degrees of freedom. Subsequently a one-dimensional Ito? stochastic differential equation for the system is obtained by applying the stochastic averaging method for quasi-nonintegrable Hamiltonian systems. The conditional reliability function and conditional probability density are both gained by solving the backward Kolmogorov equation numerically. Finally, a stochastic optimal control model is proposed and solved. The numerical results show the effectiveness of this method. 相似文献
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The non-linear dynamic model is set up of one type of high-speed painting automizor with gas supporting system ,The stability of motion and dyamic response of the gas painting automizor system are studied over a relatively wide range of rotating speed by numerical analytic method ,the critical velocity under working condition is found,and rotate stability and critical condition are discussed in theory,Furthermore,the range of the critical parameter of the system when Hopf bifurcation occurs and the law between axis trace and bearing clearace are acquired ,too. 相似文献
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杨纪华 《宁夏师范学院学报》2010,31(3):10-13
主要对具有时滞人机系统的奇异性进行了分析．首先,利用常微分方程的中心流形理论讨论了所研究系统零解的稳定性．然后,又讨论了所研究系统Hopf-zero分支的存在性． 相似文献
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主要研究带有时滞的Brusselator模型,通过分析特征方程的根在复平面上的位置,讨论模型唯一正平衡点的局部渐近稳定性与Hopf分支。利用Matlab软件包和求解常微分方程初值问题的数值方法,对所获得的理论结果给出适当的数值验证。 相似文献
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刘娟 《河北职业技术师范学院学报》2014,(3):49-52
研究了一类具有Beddington-DeAngelis非线性发生率的时滞病毒动力学模型。以时滞为参数,研究了模型的Hopf分支,得到时滞病毒模型的局部稳定性和产生局部Hopf分支的充分条件。最后,给出仿真实例,验证了理论分析结果的正确性。 相似文献
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研究了一类带时滞的HIV病毒的CD4＋细胞模型及它的平衡点的稳定性,当该模型满足一定条件时,它的平衡点稳定,当平衡点不稳定时研究了Hopf分支的存在性. 相似文献
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本文对一类具有时滞的Holling-Ⅰ型功能反应的捕食者-食饵系统进行了研究,分析了解的有界性和持久性,讨论了正平衡点的局部稳定性和Hopf分支的存在性. 相似文献