首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到16条相似文献,搜索用时 125 毫秒
1.
轴承非线性油膜力的一种变分近似解   总被引:9,自引:0,他引:9  
基于自由边值理论和凸集上的变分方法,提出一种求解当轴颈大扰动时实际轴承瞬态油膜力的近似公式。公式中引入一个参数来模拟油膜破裂自由边界(雷诺边界条件),则凸集上的泛函极值问题就转换为求此参数的代数极值问题。对椭圆轴承在轴颈作大范围扰动情况下的计算结果表明,这一方法达到了很高的精度,可用于转子-轴承系统的非线性动力分析,能大量降低数值计算瞬态油膜力所需的计算量。  相似文献   

2.
一种滑动轴承非线性油膜力变分近似计算方法   总被引:5,自引:1,他引:4  
基于变分原理,在π油膜假设条件下,利用无限长轴承的压力解,给出了滑动轴承非线性油膜力的近似表达式同时在实际轴承参数条件下,对比分析了计算结果及数值解,发现该计算结果具有较高精度.  相似文献   

3.
构筑了轴向解析、周向有限元压力分布的一维变粘度场有限宽轴承模型。在绝热边界条件下,忽略泊肃叶流项对速度的影响,不考虑温度轴向变化并沿油膜厚度方向积分,三维能量方程可降阶为平均温度场只沿周向分布的一维形式,结合滑动轴承非线性油膜力的一维直接解法,能量方程与雷诺方程可分别求解,既考虑了温粘效应对滑动轴承非线性动力学性能的影响,又提供了无需迭代直接确定油膜破裂边界和求解非线性油膜力的快速新方法。作为应用,针对进油槽位于水平两侧的椭圆瓦轴承进行了动力润滑热效应分析,与工程数据比较,计算结果吻合,证明该模型合理,适用于工程上多瓦轴承的分析计算。  相似文献   

4.
滑动轴承非线性油膜力的神经网络模型   总被引:6,自引:0,他引:6  
在已有的滑动轴承非线性油膜力数据库基础上 ,将轴承的位置和速度参数加以综合 ,利用变量状态空间变换将分段的油膜力数据转换成连续的数据空间 ,建立非线性油膜力连续型数据库和相应的网络模型 .以圆轴承 -转子系统为例 ,分别采用有限差分法、数据库法和 BP网络模型计算了轴承系统的非线性油膜力和轴心轨迹 .结果表明 ,网络模型计算结果与基于数值方法的结果较为吻合 ,可以显著地提高轴承系统的计算效率  相似文献   

5.
复杂非线性转子—轴承系统动力特性数值分析   总被引:3,自引:0,他引:3  
郑铁生  伍晓红 《力学学报》2001,33(3):377-389
研究非线性高维复杂转子-轴承系统的动力特性。针对系统的局部非线性特征,给出了一种降阶及配套动力积分方法。降阶系统仍保持局部非线性特征,非线性响应数值积分所需的迭代只需在局部非线性的维数上执行。对于油膜力无封闭解的实际轴承,采用变分不等方程有限元法求解Reynolds边值问题,使得油膜力及其Jacobian矩阵的计算变得非常简单明了且与具有协调一致的精度。应用上述方法计算分析了一双跨、椭圆轴承-转子系统的不平衡响应,数值结果展现了系统丰富复杂的非线性现象。  相似文献   

6.
提出了一个利用瑞利一李兹方法求解Reynolds边界条件下非稳态滑动轴承油膜力的近似算法,充分利用油膜力分布的特性,用双曲余弦函数来表示油膜力的轴向压力分布,而用多项式函数插值法来求解油膜力的周向压力分布,并同时计算出油膜力的破裂边界。算例表明本算法达到了相当高的精度,可用于转子系统的非线性数值分析,能大大降低数值求解瞬态油膜力的计算时间。  相似文献   

7.
考虑进油压力的滑动轴承非线性油膜力数据库   总被引:2,自引:0,他引:2  
秦平  沈銊  徐华  朱均 《摩擦学学报》2004,24(3):258-262
通过对ReyTlolds方程的非线性变换,提出了考虑进油压力边界条件时径向滑动轴承非线性油膜力数据库的建库方法,扩展了油膜力数据库计算方法的应用,通过引入2个有限数据域的新变量对转子轴心速度项和进油压力边界条件进行有限化处理,得到了更符合实际工况的连续性油膜力数据库及计算模型,同有限元法对比分析了非线性油膜力数据库的适用性.结果表明,非线性油膜力数据库模型的精度较高,所建立的非线性油膜力计算模型可用于对转子系统瞬态运动进行简便和快捷的分析.  相似文献   

8.
本文中提出了一种求解有限长径向滑动轴承非线性油膜力的近似解析方法.在滑动轴承-转子系统非线性动力行为分析中,油膜力计算模型通常采用"π"油膜假设,但是,实际工况中油膜的存在区域并非是"π"区域,运行时油膜中出现气穴,破裂成条纹状(即具有Reynolds边界条件).本文中的近似解析方法采用Reynolds边界条件,基于变分原理,运用分离变量法求解油膜的压力分布,其中油膜压力的周向分离函数通过无限长轴承的油膜压力分布获得,油膜的破裂终止位置角通过连续条件确定,轴向分离函数运用变分原理并结合周向函数求得.计算结果表明:本文中提出的方法和有限元方法的结果吻合得很好.在此基础上,分析了一些轴承参数对油膜压力分布的影响.  相似文献   

9.
研究了受横向不平衡电磁激励的转子.轴承系统的非线性振动响应。首先将转子.轴承系统简化为带有质量不平衡并受横向激励的连续梁,由于短轴承的油膜力和电磁力的共同激励,系统振动具有强非线性特性。用Galerkin方法把偏微分控制方程离散为常微分方程组,采用四阶Runge—Kutta法对该系统进行数值仿真研究。其次比较了转轴分别在电磁力、油膜力单独作用和两种力共同作用下的振动特性,研究表明电磁力和油膜力对转子系统的非线性振动和分岔有着不同的贡献:油膜力的存在抑制了拟周期运动的发生,延长了稳定运行区域;电磁力拉长了拟周期发生的区域,降低了转子系统发生突发性破坏的风险。最后给出了系统响应随转速、电磁参数、油膜粘度等控制参数变化的分岔图,表明:系统在两个方向的运动随控制参数的变化趋势基本相同,经历了周期、倍周期、拟周期等非线性运动交替出现的过程;且油膜粘度的增大有利于转子系统的安全运行。  相似文献   

10.
祝宝山 《力学学报》2008,40(1):9-18
采用快速拉格朗日涡方法数值模拟有复杂旋涡运动的非定常流动. 利用离散涡元模拟旋 涡的产生、聚集和输送过程. 拉格朗日描述法用来计算离散涡元的移动,而移动速度则利用 广义毕奥-萨伐尔公式结合快速多极子展开法计算,修正的涡半径扩散模型用来模拟离散涡 元的黏性扩散. 突然起动圆柱和大攻角下突然起动翼型的非定常有涡流动的数值模拟,及其 与试验结果的对比验证了方法的有效性. 另外,大攻角下突然起动翼型的计算结果给出了 翼型起动后吸力面旋涡的产生、发展,周期性非定常流动的形成,以及尾流旋涡结构等一些 重要的流动特征. [关键词] 非定常流有涡流动快速涡方法  相似文献   

11.
To overcome the shortcomings of extreme time-consuming in solving the Reynolds equation, two efficient calculation methods, based on the free boundary theory and variational principles for the unsteady nonlinear Reynolds equation in the condition of Reynolds boundary, are presented in the paper. By employing the two mentioned methods, the nonlinear dynamic forces as well as their Jacobians of the journal bearing can be calculated saving time but with the same accuracy. Of these two methods, the one is called a Ritz model which manipulates the cavitation region by simply introducing a parameter to match the free boundary condition and, as a result, a very simple approximate formulae of oil-film pressure is being obtained. The other one is a one-dimensional FEM method which reduces the two-dimensional variational inequality to the one-dimensional algebraic complementary equations, and then a direct method is being used to solve these complementary equations, without the need of iterations, and the free boundary condition can be automatically satisfied. Meanwhile, a new order reduction method is contributed to reduce the degrees of freedom of a complex rotor-bearing system. Thus the nonlinear behavior analysis of the rotor-bearing system can be studied time-sparingly. The results in the paper show the high efficiency of the two methods as well as the abundant nonlinear phenomenon of the system, compared with the results obtained by the usual numerical solution of the Reynolds equation.  相似文献   

12.
A general model of a rub-impact rotor-bearing system with initial permanent bow is set up and the corresponding governing motion equation is given. The nonlinear oil-film forces from the journal bearing are obtained under the short bearing theory. The rubbing model is assumed to consist of the radial elastic impact and the tangential Coulomb type of friction. Through numerical calculation, rotating speeds, initial permanent bow lengths and phase angles between the mass eccentricity direction and the rotor permanent bow direction are used as control parameters to investigate their effect on the rub-impact rotor-bearing system with the help of bifurcation diagrams, Lyapunov exponents, Poincaré maps, frequency spectrums and orbit maps. Complicated motions, such as periodic, quasi-periodic even chaotic vibrations, are observed. Under the influence of the initial permanent bow, different routes to chaos are found and the speed when the rub happens is changed greatly. Corresponding results can be used to diagnose the rub-impact fault in this kind of rotor systems and this study may contribute to a further understanding of the nonlinear dynamics of such a rub-impact rotor-bearing system with initial permanent bow.  相似文献   

13.
In this paper, the nonlinear vibration characteristics of geared rotor bearing system and the interactions among gears, shafts, and plain journal bearings were studied. First, with the consideration of backlash, transmission error, time-varying mesh stiffness, and layout parameters, the dynamic model of geared rotor bearing system featuring confluence transmission was proposed. The nonlinear oil-film forces were computed with the Reynolds equation for finite-length journal bearings. Second, the responses of meshing vibration and bearing vibration were discussed. The numerical results revealed that the system exhibited a diverse range of periodic, sub-harmonic, and chaotic behaviors. Under different ranges of rolling frequency, the system got into chaos state through different roads. Moreover, in lower frequency, meshing vibration showed coexist of different periodic motions. Lastly, couplings of nonlinear oil-film force and nonlinear gear mesh force were discussed through a range of rolling frequencies. Gear-bearing dynamic interactions were demonstrated through the analysis of dynamic gear loads and dynamic bearing loads, and the coupling effect behaved different when rolling frequency changed.  相似文献   

14.
具有裂纹-碰摩耦合故障转子-轴承系统的动力学研究   总被引:9,自引:0,他引:9  
以非线性动力学和转子动力学理论为基础,分析了带有碰摩和裂纹耦合故障的弹性转子系统的复杂运动,在考虑轴承油膜力的同时构造了含有裂纹和碰摩故障转子系统的动力学模型。针对短轴承油膜力和碰摩-裂纹转子系统的强非线性特点,采用Runge-Kutta法对该系统由碰摩和裂纹耦合故障导致的非线性动力学行为进行了数值仿真研究,发现该类碰摩转子系统在运行过程中存在周期运动、拟周期运动和混沌运动等丰富的非线性现象,该研究结果为转子-轴承系统故障诊断、动态设计和安全运行提供理论参考。  相似文献   

15.
The modeling and simulation process of oil-film bearing dynamics constitutes a rather essential task integrated in the workflow of various mechanical products. Specifically, in the turbo charger industry, the correct capture and understanding of the associated nonlinear rotating dynamics is of utmost importance, since the system’s efficiency and lifetime span depends on it. The root cause of the nonlinear rotordynamic effects is the oil-film concentrated in the rotor’s journal bearings. Its behavior is highly coupled with both the system’s geometric and dynamic configuration. The dynamics of the oil-film are described by the well-known Navier–Stokes equation, which under a series of assumptions and simplifications results to the, so-called, Reynolds equation. In this paper, the Reynolds equation is numerically solved based on a finite difference scheme and several parameter variation studies are conducted in an effort to pinpoint the most influential parameters—journal bearing geometric dimensions, oil-film properties and rotor-velocity-driven inputs—with respect to designated responses—friction, oil-film pressure force, minimum oil-film thickness and boundary oil-flow—all of which are regarded as important in terms of the aforementioned system’s efficiency and lifetime span. Based on multivariate analysis algorithms, correlation outcomes and global sensitivity results are presented. In an effort to capture possible nonlinear phenomena, which might not be possible via linear data mining tools, the Spearman rank-order coefficient and self-organizing maps methodology are applied.  相似文献   

16.
The nonlinear dynamic behavior of a rigid rotor supported by a spherical gas journal bearing system is analyzed using a hybrid method combining the differential transformation method (DTM) and the finite difference method (FDM). The analytical results reveal that the bearing system has a complex dynamic behavior comprising periodic, subharmonic, and quasi-periodic responses of the rotor center. The evolution in the dynamic behavior of the bearing system is systematically examined as the rotor mass and bearing number are increased. The analytical results are found to be in good agreement with those of other numerical methods. Hence, the validity of the proposed hybrid method as a means of gaining insights into the nonlinear dynamics of spherical gas film rotor-bearing systems is confirmed.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号