基于局域波法的非线性系统模态参数识别研究

研究基于局域波分析的非线性系统模态参数识别方法.首先在非线性系统响应局域波分解的基础上得到了等效线性系统,然后通过Hilbert变换识别系统的瞬时固有频率和瞬时阻尼系数.针对非线性转子系统的模态参数测试识别问题,提出测取转子系统在降速过程非稳定运行工况下的振动响应,并应用提出的模态参数识别方法来识别转子系统的瞬时固有频...     

滑动轴承多跨转子系统分岔点预测

滑动轴承转子系统是一类多自由度非线性非自治动力系统,广泛应用于工业实际。生产实践中,设计观念和维修体制的变革提出了稳定性量化分析的要求。本文首先描述了一种基于轨线保稳降维方法的转子轴承系统的稳定性量化分析,即首先利用数值积分对高维非线性转子系统进行解耦,将Rn轨线映射为一系列R1映像轨线,并将各自由度的运动方程中除该自由度外的所有状态变量用积分结果代换,得到n个互相解耦、含有多个时变参数的单自由度方程。其次再在R1观察空间中定义轨线的稳定裕度,根据轨线稳定裕度利用灵敏度技术预测动力系统的分岔点。最后,对一个滑动轴承支承的三跨转子模型实验台建立动力学方程,并利用上述方法预测该转子系统发生分岔的参数值和分岔特性。预测得到的分岔参数值与采用直接数值积分法在Poincasé截面得到的分岔参数值基本一致,且2种方法在分岔点处判断得到的分岔性质完全相同。由此可见,该方法不仅与直接数值积分方法得到的结果一致,而且由于该方法利用了灵敏度技术因而其分岔点的搜索过程比直接数值积分法快得多。     

位标器动平衡测试系统中的相位测量方法研究

提出了一种相位测量方法,该方法可以准确检测从位标器陀螺仪输出的钟形光电脉冲信号峰值点的位置并以其为时间基准点进行相位测量,并可判断被测两信号之间的时间间隔以及超前滞后关系.针对在现场中的干扰因素,提出了相应的解决措施.该方法电路简单;测量速度快;精度高;可靠性好.     

基于分形关联维的汽轮机转子的振动故障诊断

采用Bently实验台模拟不同转速下碰摩、松动、不对中、不平衡几种常见汽轮机转子振动故障,进行实验研究．通过相空间重构理论,对满足随机分形统计自相似性的振动信号序列进行相空间重构,计算其分形关联维数,从而再现动力学特性．实验分析结果表明：碰摩故障时的分形关联维数最大,松动和不对中时的分形关联维数次之,不平衡时计算所得的分形关联维数最小;不同故障类型下的分形关联维数增量不同．因此,分形关联维数可以作为一种振动故障征兆加以提取．     

1+1/2对转涡轮低压动叶激波结构的研究

本文对1 1／2对转涡轮低压动叶中激波结构等进行了详细的数值模拟．通过对流道中静压和马赫数等参数的分析发现,当高压动叶外伸波扫过低压动叶流道时,低压动叶前缘吸力面处产生了一道脱体弧形激波,流道中吸力面上产生了一道正激波,在脱体激波和正激波之间,存在着较强的膨胀波,这种分布与跨音压气机叶栅中的波系结构相似．当高压动叶尾迹扫过低压动叶时,低压动叶吸力面的压力会产生明显的波动,出现一个随时间变化的低压区．     

The Applications of Order Reduction Methods in Nonlinear Dynamic Systems

Two different order reduction methods of the deterministic and stochastic systems are discussed in this paper. First, the transient proper orthogonal decomposition (T-POD) method is introduced based on the high-dimensional nonlinear dynamic system. The optimal order reduction conditions of the T-POD method are provided by analyzing the rotor-bearing system with pedestal looseness fault at both ends. The efficiency of the T-POD method is verified via comparing with the results of the original system. Second, the polynomial dimensional decomposition (PDD) method is applied to the 2 DOFs spring system considering the uncertain stiffness to study the amplitude-frequency response. The numerical results obtained by the PDD method agree well with the Monte Carlo simulation (MCS) method. The results of the PDD method can approximate to MCS better with the increasing of the polynomial order. Meanwhile, the Uniform-Legendre polynomials can eliminate perturbation of the PDD method to a certain extent via comparing it with the Gaussian-Hermite polynomials.     

Doublet bands at borders of A ≈ 130 island of chiral candidates: Case study of ~(120)I

Positive-parity doublet bands were reported in ~(120)I. Based on these, we discuss the corresponding experimental characteristics, including rotational alignment, and re-examine the corresponding configuration assignment.The self-consistent tilted axis cranking relativistic mean-field calculations indicate that the doublet bands are built on the configuration πh_(11/2)■νh_(11/2)~(-1). By adopting the two quasiparticles coupled with a triaxial rotor model, the excitation energies, energy staggering parameter S(I), B(M1)/B(E2), effective angles, and K plots are discussed and compared with available data. The obtained results support the interpretation of chiral doublet bands for the positive-parity doublet bands in ~(120)I, and hence identify this nucleus as the border of the A ≈ 130 island of chiral candidates.     

Safety margin criterion of nonlinear unbalance elastic axle system

IntroductionAtpresentanewanddevelopingsubject—chaoticdynamicsstartsabroadprospectforanalysisofnonlinearsystem[1～ 5 ].Largerotatingmachineryisatypicalnonlinearnon_autonomoussystem .Thesaferunofrotorsystemisofgreatsignificancetosociallifeandeconomicdevelopment.Thestabilityisthekeytosafeoperation .Thesafestabilityanalysisandcontrolforlargesystemisnotonlyamajorbasicresearchbutalsoisveryimportanttosolvethesafeproblemsinlifeandproduction[6 ,7].Soar,althoughmanymathematicians,mechanistsandengineer…     

INFLUENCE OF FRICTION ON THE MOTION OF BASE WITH AN ECCENTRIC ROTOR

偏心转子惯性力引起的底座运动受到地面摩擦的影响,与光滑情形的理论结果存在定性差异。转子逆时针匀速旋转的惯性力若小于构件总重,则底座随摩擦因子增加而出现连续、一次停顿和两次停顿的振动及完全静止的4种状态。因惯性力对正压力及摩擦力的影响,底座在连续及一次停顿的振动时右向位移较大;而底座跳起时如``蛤蟆夯'则整体向左移动。     

具有局部非线性动力系统周期解及稳定性方法

对于具有局部非线性的多自由度动力系统，提出一种分析周期解的稳定性及其分岔的方法该方法基于模态综合技术，将线性自由度转换到模态空间中，并对其进行缩减，而非线性自由度仍保留在物理空间中在分析缩减后系统的动力特性时，基于Ｎｅｗｍａｒｋ法的预估－校正－局部迭代的求解方法，与Ｐｏｉｎｃａｒé映射法相结合，推导出一种确定周期解，并使用Ｆｌｏｑｕｅｔ乘子判定其稳定性及分岔的方法