限幅装置对直升机尾传动轴系统动力学行为的影响研究EI北大核心CSCD

直升机尾传动轴系统易超临界工作,采用一种新型的限幅装置对其进行跨临界减振研究。分别建立尾传动轴动力学方程组,限幅装置动力学方程组和弹性支承动力学方程组,并基于界面协调理论相互耦合,建立具有限幅装置的直升机尾传动轴系统耦合动力学方程组。通过数值算法求解系统方程组,分别研究了偏心量、预紧力、碰摩间隙、辅助支座与摩擦环间隙以及碰摩摩擦因数对系统幅频响应特性的影响规律。结果表明:尾传动轴和限幅装置之间的碰摩使系统产生了附加刚度,导致转轴在共振点处出现跳跃和滞后现象;同时,限幅装置可以有效的降低转轴过临界转速的振动幅值,但不同参数下的减振效果不同,在设计时需要考虑。该研究为直升机尾传动轴系统的减振设计提供理论指导。     

一种含特殊限位器的柔性连接转子碰摩响应研究

以一种柔性连接两节式转子-限位器系统为研究对象,利用拉格朗日方法建立考虑陀螺效应的转子系统动力学方程,采用Hooke接触模型及Coulomb碰撞模型,描述变刚度限位器与转子的相互作用,并利用数值方法求解碰摩响应,分析了不同碰摩刚度与摩擦系数下的碰摩行为,引入碰摩稳定域概念,并计算了碰摩稳定域曲线,开展了不同激励强度下的碰摩试验,与理论分析情况进行对比。研究结果表明：转子碰摩响应存在有限次碰摩后恢复稳定、拟周期运动、同步全周碰摩三种典型碰摩行为;摩擦力是导致转子失稳的关键因素,限位器碰摩刚度存在最优区间;限位器碰摩模型可为工程设计提供参考。     

交叉刚度对转子碰摩动力学特性的影响分析

针对简化弹簧模型和非线性动态油膜力模型皆不利于交叉刚度对碰摩转子动力学影响分析的问题,建立了基于非对称直接刚度和交叉刚度的Jeffcott转子动力学模型。结合打靶法和Floquet理论研究了转子交叉耦合刚度对转子系统运动稳定性的影响规律。创新性地引入了"碰摩能"新参量对碰摩故障进行量化表征,在此基础上分析了不同交叉刚度下转静件间隙的变化对转子碰摩程度的影响。分析结果表明,在不同"碰摩能"的情况下,转子系统交叉刚度的变化可诱发周期-1运动,再经擦边分岔突变为混沌和经Neimark-Sacker分岔渐变为混沌,正向涡动经跨临界分岔演化为反向涡动;交叉刚度较大时,增大转静件间隙反而会加重转静子碰摩的程度。     

滚动轴承转子系统不对中-碰摩耦合故障非线性动力学分析

为了获取转子系统不对中-碰摩耦合故障下的动力学特性,通过拉格朗日待定乘子法建立了在完整约束下滚动轴承转子系统非线性动力学微分方程,采用龙格库塔数值法研究了不对中-碰摩耦合故障下系统的动力学响应,采用时域图、轴心轨迹图、分叉图、Poincare截面图和FFT谱图分析了不对中度、碰摩刚度和碰摩间隙对转子振动响应的影响。分析结果表明:不对中度的增大会使系统1倍频振动响应增大,也会产生2倍、4倍等偶数倍频,同时出现与VC(Varying Compliance)频率之间的组合频率响应。在低转速下,碰摩刚度和碰摩间隙对转子系统的影响较小;在高转速下,较小的碰摩刚度和较大的碰摩间隙会缓解系统的非线性行为。     

具有不平衡-碰摩耦合故障的转子-滚动轴承系统非线性动力学研究

建立了滚动轴承支承下的转子系统的不平衡-碰摩耦合故障动力学模型.在滚动轴承模型中,充分考虑了滚动轴承间隙、滚动轴承的滚珠与滚道的非线性赫兹接触力以及由滚动轴承支撑刚度变化而产生的VC(Varying compliance)振动,在转子系统中,考虑了不平衡和转静碰摩耦合故障.运用数值积分方法获取了系统的非线性动力响应,分析了转子旋转速度、滚动轴承间隙、碰摩刚度、转子偏心量对系统动力响应的影响,研究了系统分叉与混沌特征分析,发现了通往混沌的倍周期分叉和阵发性分叉途径.     

航空发动机转子不平衡下转静碰摩试验研究

为了研究大涵道比涡扇发动机风车不平衡振动问题,设计了刚度可调、频率可调的转子机匣碰摩机构,计算了机匣的刚度与频率并进行了试验测试。在试验与计算比对良好的条件下完成了碰摩试验并对试验数据进行了进动分析。研究结果表明:设计的碰摩机构,能够有效可控地进行风车不平衡状态下持续碰摩试验,重复性好且碰摩特征明显,通过进动分析,风车不平衡下转静碰摩会激起正反进动的超次谐波,以3/2倍频最为明显。研究结果为发动机风车不平衡研究以及转子安全性设计提供重要的数据支撑与试验方案。     

带碰摩耦合故障的转子-滚动轴承-机匣耦合动力学模型

建立了含转子不平衡-松动-碰摩耦合故障的转子-滚动轴承-机匣耦合动力学模型.在模型中,充分考虑了转子系统的不平衡、基础松动及转静碰摩故障的耦合;对滚动轴承模型,充分考虑了轴承间隙、轴承滚珠与滚道的非线性赫兹接触力以及由轴承支撑刚度变化而产生的VC（varying compliance）振动.运用数值积分方法获取了系统响应,并利用振幅-转速曲线图、分叉图、相平面图、频谱图、Poincaré截面图和轴心轨迹图研究了系统的分叉与混沌运动,分析了旋转速度、碰摩刚度、转子偏心量、轴承座质量、轴承座与机匣间的连接刚度以及机匣与基础间的连接刚度对系统响应的影响,得到了在不平衡-松动-碰摩故障耦合下的转子-滚动轴承-机匣耦合系统动力响应规律.     

碰摩转子刚度增加现象的相位特征

研究了碰摩转子刚度增加现象的相位特征。转子与定子的全局碰摩在通过并远离临界转速后仍然可以持续。理论证明了,发生稳态全局碰摩时,该现象具有确定的相位特征,即激励与响应的相位差随着转速的增加逐渐接近 。当激励与响应的相位差略微大于 后,相位突然转迁到接近 。此时,全局碰摩结束,振幅跳跃到非碰摩运动状态。结合解析和数值结果,解释了这一现象以及其物理机制,并对全局碰摩失稳后,系统运动状态的相位特征进行了初步探讨。     

转子-弹性机壳系统碰摩的分段光滑模型分析

分别采用两种不同的截面建立Ｐｏｉｎｃａｒｅ映射,对转子－弹性机壳系统的碰摩运动进行了研究,得到了该类分段光滑系统运动的一般特点和转子碰摩撞刚度变化发生分岔的规律。研究表明,该系统的碰摩运动主要以混沌形式出现,但不同的周期窗口按一定规律嵌入混沌区内。随着定子碰撞刚度增加,碰摩运动将会加剧。然后由该系统导出了刚性转子碰摩的约束微分系统,从而将碰摩转子系统的两种不同描述形式统一起来,并分析了周期刚性碰摩     

含不平衡-碰摩-基础松动耦合故障的转子-滚动轴承系统非线性动力响应分析

建立了滚动轴承支承下的转子系统的不平衡-碰摩-基础松动耦合故障动力学模型.充分考虑了滚动轴承的间隙、非线性赫兹接触力以及由变柔性VC(Varying compliance)振动,综合考虑了转子不平衡、转静碰摩以及基础松动故障的耦合振动.运用数值积分方法分析了转子旋转速度、滚动轴承间隙、碰摩刚度、转子偏心量及轴承座质量对系统动力响应的影响,并运用分叉图、相平面图、频谱图以及Poincar橛成溲芯苛讼低撤植嬗牖煦缣卣?发现了含不平衡、碰摩及基础松动耦合故障的转子-滚动轴承系统的非线性动力响应规律.     

Calculation of a transient in a two-pole network with a thermistor

An analytical expression is derived which describes the variation of the thermistor temperature during a relay-effect transient process following an instantaneous change in the supply voltage in an R — R_T two-pole network.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 38, No. 3, pp. 465–472, March, 1980.     

Stress analysis of a strip with a step and a crack

Stress analysis for a strip of which widths are different at the right and left handsides is carried out for before and after occurrence of a crack at a corner of a step. The strip is analyzed as a thin plate bending problem subject to transverse bending and torsion, and as a plane eleastic problem subject to bending in the plane and uniaxial tension. The rational mapping function of a sum of fractional expressions and complex variable method are used. Stress distribution and stress intensity factors are obtained.     

Interaction between a liquid and a cylindrical body touching a wall

An exact solution is obtained for the problem of interaction between the ideal liquid homogeneously moving at infinity and streamlining a round cylinder touching a solid wall.     

Imaging a point to a line with a single spherical mirror

Methods for imaging a single point source to a line image are discussed, and a design study of single spherical mirror systems that form aberration-free line images is presented. An expression forthe ray density along the line image is derived for such systems in the cases of (i) uniform beam profiles and (ii) Gaussian beam profiles. The resulting ray density profiles are illustrated for single spherical mirror systems over a wide range of design parameters.     

Influence lines for bending under a ring load of a free shell,a shell embedded in a soft medium and a shell containing a soft core

Summary Theoretical expressions for stresses and displacements have been derived for bending under a ring load of a free shell, a shell embedded in a soft medium, and a shell containing a soft core. Numerical work has been done for typical cases with anElliot 803 Digital Computer and influence lines are drawn therefrom.

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Einflußlinien für die Biegung einer freien Schale, einer Schale in einer weichen Bettung und einer Schale mit weichem Kern

Zusammenfassung Für die Biegung einer freien Schale, einer weich gebetteten Schale und einer Schale mit weichem Kern unter einer Ringlast werden Ausdrücke für die Spannungen und Verschiebungen hergeleitet. Die Ergebnisse wurden für einige typische Fälle mit einem DigitalrechnerElliot 803 numerisch ausgewertet. Die sich ergebenden Einflußlinien wurden graphisch dargestellt.

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Nomenclature A (),B () Functions of - a, t Mean radius and thickness of the shell - E _S , _S Young's modulus andPoisson's ratio of the shell - G _c , _c Shear modulus andPoisson's ratio of the casting or core - I ₀ (r),I ₁ (r) ModifiedBessel functions of the first kind and order zero and one respectively - K ₀ (r),K ₁ (r) ModifiedBessel functions of the second kind and order zero and one respectively - p Ring load, lb/in - U, W Displacement components in the casing or core in thez andr direction - u, w Displacement components of a middle surface point in the shell - _r , _rz Radial and shearing stress components - Independent variable of infinite integrals - k [3(1–S ²)a ²/t ²]^1/4 With 13 Figures     

Linear heat transfer in a flow around a cylinder or a sphere

It is shown that the relation between the Nusselt and Reynolds numbers determined by the Reynolds analogy is linear with self-similarity of the hydrodynamic resistance coefficient.Special Design and Technology Office Element, Odessa, Ukraine. translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 68, No. 3, May–June, pp. 395–396, 1995.     

Interaction between a cylindrical shell in a fluid and a pulsating bubble

The dynamic behavior of a cylindrical fluid-immersed shell in a pressure wave initiated by a pulsating vapor-gas bubble that develops as a result of the action of laser radiation on the absorbing medium (metal) is examined experimentally and theoretically. The results of the experiments suggest that the amplitude of the shock wave that develops as a result of complete or partial vaporization of the absorbing medium is appreciably smaller than the amplitude of the waves due to pulsations of the bubble that is formed. Experimental data on the pattern of structural deformation are confirmed by calculations. The effect of load simulation on the behavior of the shell is established according to computational data.Translated from Problemy Prochnosti, No. 6, pp. 116–120, June, 1990.     

Resistance of a sphere in a slow flow of a viscoelastic fluid

The authors have obtained an approximate solution of the problem of the resistance of a rigid sphere in a slow flow of a Maxwell viscoelastic fluid that is in good agreement with experimental data [1] for Weissenberg numbers We ≤ 0.7. It is shown that the effect of a decrease in the coefficient of resistance of a sphere in the interval 0.1 ≤ We ≤ 0.7 established experimentally is determined in full measure by the linear viscoelastic properties of the Maxwell fluid. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 71, No. 6, pp. 1138–1140, November–December, 1998.