磁悬浮控制系统的稳定性及Hopf分岔的研究

研究了反馈增益系数对非线性磁悬浮控制系统稳定性的影响,给出了系统保持稳定时设计参数的取值范围。通过引入Hopf分岔的检验函数分析了磁悬浮控制系统动态Hopf分岔的产生条件,从而避免了分析系统稳定性时求解全部特征值的大量计算。以速度反馈增益为参量,运用规范型法和中心流形法,解析地确定出表征磁悬浮系统中Hopf分岔方向、周期解的稳定性及周期变化的特征量,以便通过向分岔的反方向调节反馈增益系数而实现系统的稳定。最后通过数值模拟验证了主要结果的可靠性。     

多自由度含间隙振动系统周期运动的二重Hopf分岔

基于Poincaré映射方法和数值仿真分析了多自由度含间隙振动系统对称型周期碰撞运动的稳定性与二重Hopf分岔。应用映射的中心流形和范式方法,研究了高维映射在其Jacobian矩阵两对复共轭特征值同时穿越复平面单位圆周情况下的余维二分岔,分析了映射在二重Hopf分岔点附近的双参数开折,揭示了含间隙振动系统在二重Hopf分岔点附近的动力学行为。含间隙振动系统在二重Hopf分岔点附近存在对称型周期碰撞运动、对称型周期碰撞运动的Hopf分岔、环面分岔及“轮胎”型概周期吸引子。环面分岔导致了半吸引不变环和复杂的“轮胎”型概周期吸引子。     

一类时滞分数阶计算机病毒模型的Hopf分岔控制研究

研究了一类时滞分数阶计算机病毒模型Hopf分岔的控制问题。在非受控系统的第一个方程中引入周期脉冲时滞反馈控制器，采用半解析半数值的方法证明了受控系统与其线性化平均系统在一定意义下的等效性，并以此作为理论基础，采用线性化方法和分数阶Laplace变换推导受控系统发生Hopf分岔的临界值，得到系统的稳定域范围以及稳定域随控制器参数的变化情况。结果说明通过调节增益参数值，可有效的延迟系统Hopf分岔的发生。最后，通过恰当的数值模拟验证了理论分析的正确性和可行性，并对比了不同控制增益参数对系统稳定域的影响。     

时滞反馈下分数阶Rayleigh系统的稳定性分析EI北大核心CSCD

该研究主要探讨了时滞反馈下分数阶Rayleigh系统的稳定性和Hopf分岔发生的条件。首先,得到具有线性速度反馈的分数阶Rayleigh系统的平衡点渐近稳定的充要条件,发现它不仅与反馈增益有关,还与分数阶阶次有关。其次,以时滞作为分岔参数,对具有线性时滞速度反馈的分数阶Rayleigh系统进行稳定性分析。在一定条件下,计算出时滞的临界值,当时滞参数小于该值时,平衡点是稳定的;当时滞参数大于该值时,平衡点是不稳定的。进而,得到Hopf分岔发生的条件。最后,选取三组系统参数进行数值模拟,验证了所得理论结果的正确性。     

捕食者和食饵都具有阶段结构的时滞捕食系统的稳定性和Hopf分支（英文）

自然界中,种群增长往往有一个增长和发育的过程M.在不同的年龄阶段,捕食者和食饵会表现出不同的生长特性.此外,时滞对微分方程解的拓扑结构也有很大的影响.许多情况下时滞会破坏正平衡点的稳定性,产生Hopf分支.本文以幼年捕食者到成年捕食者的生长时间为时滞,建立捕食者和食饵都具有阶段结构的时滞捕食系统,利用无限维系统的持久性理论和Hurwitz准则,给出了系统的永久持续性生存和系统共存平衡的局部稳定性条件.以时滞为参数,得出了系统Hopf分支存在性,利用规范型理论和中心流形定理确定了Hopf分支的方向以及Hopf分支周期解的稳定性.最后,通过选取满足定理条件的参数,得到了引起Hopf分支的临界值,并用数值例子验证了定理结论.     

具有时滞反馈控制的非线性主动悬架系统的稳定性、分岔和混沌

研究了具有时滞反馈控制的非线性主动悬架系统模型,该模型考虑了悬架弹簧和阻尼的非线性特性。运用广义Sturm准则推导了时滞无关稳定区域的临界增益和稳定性开关的临界时滞。在不同稳定性区间内选取参数组合进行数值模拟,验证理论分析的有效性。在动力学方程的基础上,利用分岔图、庞加莱映射图和时域图,研究了在路面激励下的悬架系统的非线性动力学行为。结果表明,在增益系数和阻尼系数g~ζ1平面内存在一个小的参数区间来实现时滞无关稳定性,并且区间范围随着悬架阻尼系数的增加而增大。当受控系统不具有时滞无关稳定性时,系统会随着时滞的变化而发生稳定性切换,这些稳定性开关对应时滞跨越临界值时发生的Hopf分岔。数值仿真验证了理论分析的正确性。时滞作为分岔参数,观察到系统由准周期运动通往混沌运动的途径:准周期环面破裂。     

Duffing-van der Pol振子的时滞反馈控制研究

本文研究了Duffing-Van der Pol振子在一类时滞反馈控制下零解的稳定性问题以及极限环的振幅和稳定性问题。依平均法和对时滞反馈控制项泰劳展开的截断得到的平均方程表明,零解的稳定性除与原方程中线性项的系数有关外,只与线性反馈有关,与非线性反馈无关。通过调整线性反馈的增益和时滞,可以使不稳定的零解变得稳定。零解发生Hopf 分岔导致的周期解的振幅除与原方程中非线性项的系数有关外,与线性反馈和非线性反馈均有关。通过调整反馈增益和时滞,不仅可以控制极限环的振幅,还可以抑制极限环的产生。此外,根据平均方程还容易发现反馈时滞对系统动力学行为的影响具有周期性。数值仿真的结果验证了理论分析的正确性。     

双跨松动转子-轴承系统周期运动稳定性

建立了带有支承松动故障的具有三轴承支承双跨弹性转子-轴承系统非线性动力学模型,利用求解非线性非自治系统周期解的延拓打靶法和Floquet理论,研究了系统周期运动的稳定性及失稳规律。双跨松动转子-轴承系统响应存在着周期运动、拟周期运动和混沌运动等复杂的运动现象,系统以鞍结分岔形式失稳。在不同的转速下,系统会出现鞍结分岔和Hopf分岔等不同的分岔形式;在高转速区,松动端轴颈的运动轨迹呈现出特有的形状。研究结果为有效识别转子-轴承系统的基础松动故障提供了一定的参考。     

松动碰摩转子轴承系统周期运动稳定性研究

根据松动碰摩耦合故障转子轴承系统的非线性动力学方程，利用求解非线性非自治系统周期解的延拓打靶方法，对系统周期运动的稳定性及其失稳规律进行了研究，得到了系统在不平衡量-转速、碰摩间隙-转速等参数域内的分岔集。分析表明：在较大和较小的不平衡量下，系统的周期运动分别以Hopf分岔形式和倍周期分岔形式失稳；耦合故障转子轴承系统表现出与碰摩转子轴承系统相似的分岔失稳规律；随着系统动静件之间的碰摩间隙减小，系统的Hopf分岔集区间变大而且失稳转速降低。该结论可以为转子系统的故障诊断、安全稳定运行及振动控制提供理论依据。     

松动裂纹转子轴承系统周期运动分岔及稳定性分析

根据松动裂纹耦合故障转子轴承系统的非线性动力学方程,利用求解非线性非自治系统周期解的延拓打靶方法,研究了系统周期运动的分岔特性及其稳定性。研究发现,在较大和较小的偏心量作用下,系统的周期运动都由倍周期分岔而失稳,在适当的偏心量下,系统的周期运动以Hopf分岔形式失稳且稳定性较强。转轴裂纹和基础松动故障都使系统周期运动稳定性降低、系统Hopf分岔存在的偏心量范围变大。结论为转子轴承系统的安全稳定运行和振动的抑制及控制提供了理论参考。     

Insertion of triangulated surfaces into a meccano tetrahedral discretization by means of mesh refinement and optimization procedures

In this paper, we present a new method for inserting several triangulated surfaces into an existing tetrahedral mesh generated by the meccano method. The result is a conformal mesh where each inserted surface is approximated by a set of faces of the final tetrahedral mesh. First, the tetrahedral mesh is refined around the inserted surfaces to capture their geometric features. Second, each immersed surface is approximated by a set of faces from the tetrahedral mesh. Third, following a novel approach, the nodes of the approximated surfaces are mapped to the corresponding immersed surface. Fourth, we untangle and smooth the mesh by optimizing a regularized shape distortion measure for tetrahedral elements in which we move all the nodes of the mesh, restricting the movement of the edge and surface nodes along the corresponding entity they belong to. The refining process allows approximating the immersed surface for any initial meccano tetrahedral mesh. Moreover, the proposed projection method avoids computational expensive geometric projections. Finally, the applied simultaneous untangling and smoothing process delivers a high‐quality mesh and ensures that the immersed surfaces are interpolated. Several examples are presented to assess the properties of the proposed method.     

Certification Institutions Expected to Update and Transfer Information on Present Standards

Standards are the basis for production enterprises to organize production, ex-factory inspection, trade (delivery) and technical exchanges, product certification, quality arbitration and supervision.……     

Flow calorimeter for enthalpy increment measurements on condensed gases

A flow calorimeter for enthalpy increment measurements on condensed gases is presented. A better knowledge of the properties of the liquefied natural gas is needed, and therefore a liquid loop has been designed for our flow calorimeter. The fluid loop in the calorimeter is designed in order to avoid the two-phase region, since two phases would give compositional disturbances in the measurements. The avoidance of the two-phase region is made possible by increasing the pressure of the test fluid after the measurement section, then heating the fluid at super-critical pressure past the critical point. Finally, the fluid is throttled to the low-pressure gas state at the inlet condition of the compressor that circulates the fluid. To perform the pressure increase, a new cryogenic pump has been designed. To evaluate the new equipment, measurements were taken on liquid ethane over the temperature range 146–256 K at pressure between 0.9 and 5.1 MPa.     

Refrigerators Enter a New Era of Health Preservation Frestech initiates the establishment of China's first standard for household sterilization refrigerators

On November 30, 2007, the China Association for Standardization (CAS) held a press conference at Beijing Diaoyutai State Guest House. Leaders from the China Household Electric Appliance Research Institute, the China Household Electric Appliance Association, and the China Consumers' Association attended and made speeches.……     

Optimum-Simulation von Ernteprozessen

Zusammenfassung Bei der Gestaltung von Ernteprozessen — beispielsweise des Prozesses Mähdrusch, Körnertransport und -abnahme — als transportverbundene Fließarbeitsverfahren mit mindestens zwei verschiedenen Arbeitsmitteln gibt es einen großen Optimierungsspielraum. Solche Prozesse sind mehrstufige Bedienungsprozesse mit gemischter Anordnung der Bedienungseinrichtungen. Außerdem besitzen sie stark ausgeprägte räumliche Aspekte. Es wird vor allem gezeigt, welche Merkmale solcher Prozesse in Simulationsmodellen abgebildet sein müssen, welche Zielgrößen in Abhängigkeit von welchen Einflußgrößen unter Berücksichtigung welcher Prozeßbedingungen ermittelt werden sollten und wie der Bewertungsprozeß zur Ermittlung der gewünschten Informationen gestaltet werden muß.     

A study of centrifugal cast high boron high speed steel

In the present study a high‐boron high speed steel (HSS) roll material was designed. Many expensive alloy elements have been substituted by cheap boron alloy, and high‐boron high speed steel roll has been manufactured by centrifugal casting method. The microstructures, mechanical properties and wear resistance of centrifugal casting high‐boron high speed steel roll have been investigated by optical microscopy (OM), scanning electron microscopy (SEM), and X‐ray diffraction (XRD) analysis, hardness test, impact test and wear test. The results indicated that the solidification microstructures of high‐boron high speed steel roll consisted of M₂(B,C), (W,Mo)₂(B,C), M₃(B,C), M₂₃(B,C)₆ type borocarbides and martensite, a small amount of retained austenite. Borocarbides were continuously distributed over the grain boundary. After quenching from 1050 °C, local broken network appeared in partial borocarbides, and fine secondary borocarbide precipitated from the matrix. After tempering from 525 °C, the amount of precipitated borocarbide increased significantly. After heat treatment, the hardness of high‐boron high speed steel roll excelled 60 HRC, and its impact toughness excelled 8.0 J/cm². The single groove steel rolling amount of high‐boron high speed steel rolls increases by 500% than that of bainite cast iron roll, when the rolls are used in K₁ mill housing of bar mill.     

Thixotropy of Systems with Shear Thinning and Plastic Flow Behavior

The definition of the thixotropy is a decrease in viscosity with time in shear and a subsequent recovery of viscosity after the shear deformation is removed.We ...     

Brainstorming for ISO Strategy 2016-2020

正Responding to ISO’s appeal for survey for the to-be-developed ISO Strategy Plan for 2016-2020,SAC hosted a special workshop over the needs and comments of various fi elds on June 8 in Beijing.The workshop was attended by ISO President-elect and Ansteel General Manager Zhang Xiaogang,SAC Vice-Administrator Yu Xinli,and 30 experts from     

CNAS Passes APLAC's PTP Review

正The review group of Asia Pacific Laboratory Accreditation Cooperation(APLAC)carried out a 4-day peer review of the proficiency testing provider(PTP)for China National Accreditation Service for Conformity Assessment(CNAS)from July 28 to 31,2014.CNAS passed the PTP review with excellent performance.Two senior peer reviewers of APLAC made a comprehensive,rigorous and detailed review of CNAS’s PTP accreditation activities,and made the on-spot inspection of the review groups in Shanghai and Shenzhen respectively.