Review on dynamics of cracked gear systems

Dynamic characteristics of cracked gear systems, also known as cracked-gear rotor systems, have received increasing interests among industry and academy in the past two decades. This paper reviews published papers on the dynamics of cracked gear systems. These studies mainly focused on three topics: crack propagation prediction, time-varying mesh stiffness (TVMS) calculation and vibration response calculation; Study objects involve the spur gear, helical gear and planetary gear; Different modeling methods including analytical method, finite element (FE) method, combined analytical-FE approach were adopted. More specifically, this review is composed of three related parts according to the above three topics. The first part involves the prediction of the crack propagation path based on two-dimensional (2D) or three-dimensional (3D) gear models, which provides a basis for the hypothesis of crack path in the process of TVMS calculation of cracked gear pairs. The second part summarizes the TVMS calculation methods including analytical methods, FE methods, combined analytical-FE approaches and experimental methods. The final part reviews the dynamic models for vibration analysis of cracked gear systems including lumped mass models and FE models, where the crack effects are characterized by introducing TVMS of cracked gear pairs into the system dynamic models. The well known open problems about cracked gear dynamics are finally stated, and some new research interests are also pointed out. The review will provide valuable references for future studies on dynamics of cracked gears.     

Probabilistic analysis of linear elastic cracked structures with uncertain damage

This paper presents a simple and reliable method for the probabilistic characterization of the linear elastic response of cracked structures with uncertain damage. In particular, truss and frame structures with edge cracks of uncertain depth and location are considered. The method of analysis originates from an approach recently appeared in the literature, which is generalized to treat structures with cracks affected by uncertainty. According to this approach, the uncertainties are transformed into superimposed deformations depending on the distribution of internal forces and an iterative procedure is established to solve the resultant equations. The procedure is optimally tuned based on the convergence analysis. Several numerical tests evidence excellent accuracy and convergence qualities also in the case of multicracked structures with large fluctuation of damage.     

2.5万t/a裂解碳五分离工业性试验

本试验以DMF为溶剂,采取二聚、萃取精馏等方法,将原料(乙烯装置副产的碳五)中的异成二烯、间戊二烯及双环戊二烯分离出来。试验表明本装置操作弹性大,设备选型与材质选用合理。从微型中试到工业性试验放大了3600倍,证明放大技术的运用是成功的。     

Vibration analysis of non-uniform beams having multiple edge cracks along the beam's height

Bending vibration of non-uniform rectangular beams with multiple edge cracks along the beam's height is investigated. These cracks are called height-edge cracks in this paper. The energy based method is used for defining the vibration of height-edge cracked beams. The opening form of the height-edge crack is determined when the external moment is assumed to be applied for stretching the beam's width. Strain energy increase is obtained by calculating the strain change at the stretched surface by taking into account the effect of angular displacement of the beam due to the bending. The Rayleigh-Ritz approximation method is used in the analysis. The cases of multiple cracks are analysed in the method by using the approach based on the definition of strain disturbance variation along the beam. Examples are presented on a fixed-fixed beam and several cantilever beams having different taper factors. When the results are compared with the results of a commercial finite element program, good agreement is obtained. The effects of taper factors, boundaries and positions of cracks on the natural frequency ratios are presented in graphics.     

松动-裂纹耦合故障转子系统的非线性响应

基于现代非线性动力学和转子动力学理论,采用Newmark-β法和Poincaré映射对裂纹和一端支座松动耦合故障转子系统进行了数值模拟研究,给出了系统响应随转速比、松动质量和裂纹深度变化的分岔图,分析了一些主要参数变化的影响以及典型的Poincaré截面图。研究发现,系统存在拟周期环面破裂、阵发性分岔和多倍T周期运动失稳进入混沌三条混沌道路。这些结论为旋转机械的故障诊断提供了理论基础和参考。     

基于幅值与相角小波映射的裂纹转子故障诊断

建立了基于简单铰链裂纹模型和局部柔度理论的裂纹转子动力学模型,得到了裂纹转子与无裂纹转子的数值仿真解及其傅里叶变换的相角;利用连续小波变换研究了裂纹转子与无裂纹转子的幅值与相角小波映射特性,提出了利用幅值与相角小波映射识别裂纹的新方法。数值仿真研究了尺度因子对幅值与相角小波映射准确性和有效性的影响,给出了建议的尺度因子。试验研究验证了该方法在工程实际中的有效性和实用性。     

基于有限元模型单一开裂纹转子的振动分析与无损估计

基于局部柔度理论和传递矩阵分析,给出一种简化的裂纹转子有限元模型。数值仿真研究了转子的长径比、裂纹位置以及裂纹深度对停机状态单一开裂纹转子的特征频率和振型的影响。提出一种借助裂纹转子前两阶特征频率和一阶振型对转子进行无损估计的新方法,仿真算例验证了该方法的有效性和可行性。     

破碎围岩注浆加固数值模拟分析与工程应用

介绍了注浆技术在破碎回采煤巷中的运用。分析了注浆加固机理：注浆液通过充填、压密等作用提高破碎围岩的强度,改变围岩的破坏机理,提高围岩的稳定性。通过UDEC数值模拟和高河煤矿现场实测数据得到：模拟巷道顶底板相对最大位移量为307 mm,两帮相对位移量为229 mm;实测顶底板相对最大位移量为359 mm,两帮相对位移量为262 mm,模拟与实测数据基本一致,巷道变形量得到有效控制,为矿井的安全、高效生产提供了有力的技术保障。该注浆加固技术可为破碎围岩支护提供指导意义。     

废塑料油化技术及其裂解催化剂的研究进展

分析了国内外废塑料油化技术及其裂解催化剂的研究进展,并指出未来废塑料油化技术的发展方向。