共查询到19条相似文献,搜索用时 93 毫秒
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本文在文献[1]的基础上,进一步从理论上研究了环形多孔介质同自然对中的分叉现象。通过稳定性分析,得到了临界分叉点的理论估计值,结果表明本文所采用的线笥稳定性分析方法在研究这种分叉现象时是有效的,从而为一些更复杂的分叉现象的理论研究提供了一条可能的途径。 相似文献
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利用小信号模型对开关电源控制器进行设计过程中常出现混沌分叉等不稳定现象。以工程设计的角度,建立了平均电流型BoostPFC的精确电路模型,分析了系统中存在的非线性现象,结合非线性分叉和混沌理论对这类非线性现象进行了详细的分析和推导。 相似文献
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静止圆柱尾迹的稳定性分析 总被引:2,自引:0,他引:2
采用二维非平行流的整体线性不稳定性分析和基于局部平行假设的绝对/对流不稳定性分析两种方法研究静止圆柱尾迹的稳定性,基本流场由相同的低维Galerkin方法计算得到。结果证实,随着Re数的增加直至Karman涡街形成,先后发生了两次整体模太的跳跃和一次Hopr分叉,并首次用绝对/对流不稳定性理论解释了这一现象。 相似文献
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非线性颤振极限环稳定性判别的复数正规形法 总被引:2,自引:0,他引:2
研究了一类含立方非线性二元机翼颤振系统的分岔现象.应用Hopf分岔定理验证了系统在颤振临界点必发生Hopf分岔.利用中心流形定理将系统降维,然后应用Hopf分叉的复数正规形法判别了极限环的稳定性,所得结果与数值解吻合. 相似文献
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采用非线性自治动力系统分叉理论,耦合求解非定常Navier-Stokes方程和俯仰运动方程,研究了再入飞行器单自由度俯仰运动失稳问题。研究表明,航天飞行器再入时,如果仅有一个配平攻角,随马赫数降低,其配平攻角处的俯仰动态失稳一般对应于Hopf分叉,并存在亚临界Hopf分叉和超临界Hopf分叉两种失稳形态。作为验证实例,数值模拟了飞船返回舱外形和平头有翼双锥外形的俯仰动态失稳现象。结果表明,返回舱再入时,随马赫数降低将发生超临界Hopf分叉,俯仰运动由点吸引子演化为周期吸引子,临界Hopf分叉点发生在马赫数2.2处;而平头再入体随马赫数降低,发生亚临界Hopf分叉,俯仰运动则是由周期吸引子演化为点吸引子,马赫数6.8为临界Hopf分叉点。 相似文献
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飞机滚转时惯性耦合运动的分岔分析 总被引:1,自引:0,他引:1
飞机非线性运动稳定性是非线性飞行动力学的重要组成部分,分岔分析则是非线性动力学系统运动稳定性分析的主要内容。应用中心流形的降维技巧和分岔分析方法,给出了一种快速有效的稳定性研究方法,并对飞机滚转时的惯性耦合运动进行了分岔分析和稳定性分析。本方法简便易行,可以大大减少计算工作量 ,其计算结果也是令人满意的。 相似文献
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飞机的全局稳定性分析和非线性控制 总被引:1,自引:0,他引:1
现代军用飞机常设计为在大迎角下飞行。此时飞机是一个高度非线性系统,其稳定特性不能用线性方法求解。而实现控制,特别是在非线性不稳定性的情况下,更是十分困难的。本文介绍了一种综合的分析飞机非线性稳定性和控制的方法。即用分岐理论来决定飞机的全局稳定性。用四阶龙格-库塔积分来计算飞机运动的平衡面和分岐点,并构造运动状态的扰动传播矩阵,而此矩阵的特征值可用来预测稳定性的时变性。此外,还利用扰动传播矩阵来求得为满足规定的飞机反应特性(通常由频率和阻尼表示)所需的操纵,即各操纵面反馈回路的放大系数值。对典型飞机的算例计算结果表明,非线性控制是成功的。 相似文献
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To investigate the longitudinal motion stability of aircraft maneuvers conveniently, a new stability analysis approach is presented in this paper. Based on describing longitudinal aerodynamics at high angle-of-attack (a < 50 ) motion by polynomials, a union structure of two-order differential equation is suggested. By means of nonlinear theory and method, analytical and global bifurcation analyses of the polynomial differential systems are provided for the study of the nonlinear phenomena of high angle-of-attack flight. Applying the theories of bifurcations, many kinds of bifurcations, such as equilibrium, Hopf, homoclinic (heteroclinic) orbit and double limit cycle bifurcations are discussed and the existence conditions for these bifurcations as well as formulas for calculating bifurcation curves are derived. The bifurcation curves divide the parameter plane into several regions; moreover, the complete bifurcation diagrams and phase portraits in different regions are obtained. Finally, our conclusions are applied to analyzing the stability and bifurcations of a practical example of a high angle-of-attack flight as well as the effects of elevator deflection on the asymptotic stability regions of equilibrium. The model and analytical methods presented in this paper can be used to study the nonlinear flight dynamic of longitudinal stall at high angle of attack. 相似文献
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Bifurcation analysis and stability design for aircraft longitudinal motion with high angle of attack 总被引:1,自引:0,他引:1
Bifurcation analysis and stability design for aircraft longitudinal motion are investigated when the nonlinearity in flight dynamics takes place severely at high angle of attack regime. To predict the special nonlinear flight phenomena, bifurcation theory and continuation method are employed to systematically analyze the nonlinear motions. With the refinement of the flight dynamics for F-8 Crusader longitudinal motion, a framework is derived to identify the stationary bifurcation and dynamic bifurcation for high-dimensional system. Case study shows that the F-8longitudinal motion undergoes saddle node bifurcation, Hopf bifurcation, Zero-Hopf bifurcation and branch point bifurcation under certain conditions. Moreover, the Hopf bifurcation renders series of multiple frequency pitch oscillation phenomena, which deteriorate the flight control stability severely. To relieve the adverse effects of these phenomena, a stabilization control based on gain scheduling and polynomial fitting for F-8 longitudinal motion is presented to enlarge the flight envelope. Simulation results validate the effectiveness of the proposed scheme. 相似文献
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挤压油膜阻尼器-滑动轴承-转子系统非线性动力特性的数值分析及实验研究 总被引:2,自引:1,他引:1
采用非线性模型,研究挤压油膜阻尼器 -滑动轴承 -转子系统的运动稳定性和分岔特性。利用有限元离散变分不等原理和基于线性规划余原理的迭代方法,求解自由边值条件下的油膜力。采用模态综合技术中的缩减系统线性自由度的方法,并提出基于 Newmark法的预估 -校正 -局部迭代的方法,求解系统响应。采用 Poincaré映射法,将周期解的确定转化为 Poincaré截面上不动点的确定,然后分析不动点的稳定性。最后通过实验转子,从实验与数值计算进行对比分析,验证了挤压油膜阻尼器的减振特性及其提高系统运动稳定性的特性,同时也说明了上述方法可以有效地分析这类系统的局部非线性动力特性。 相似文献
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The equivalent linearization method (ELM) is modified to investigate the nonlinear flut- ter system of an airfoil with a cubic damping. After obtaining the linearization quantity of the cubic nonlinearity by the ELM, an equivalent system can be deduced and then investigated by linear flut- ter analysis methods. Different from the routine procedures of the ELM, the frequency rather than the amplitude of limit cycle oscillation (LCO) is chosen as an active increment to produce bifurca- tion charts. Numerical examples show that this modification makes the ELM much more efficient. Meanwhile, the LCOs obtained by the ELM are in good agreement with numerical solutions. The nonlinear damping can delay the occurrence of secondary bifurcation. On the other hand, it has marginal influence on bifurcation characteristics or LCOs. 相似文献