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| 1 | Synchronization of two coupled exciters in a vibrating system of spatial motion显示文摘纸建议调查二的同步的一条分析途径在空间运动的一个颤动的系统联合了 exciters。为二 exciters 的平均尖速度介绍骚乱参数,我们推出二 exciters,联合矩阵的惯性在是对称的尖速度的非维的联合方程并且联合矩阵的僵硬在一个非反响的颤动系统是反对称的。阶段角度的联合余弦效果将引起对二台马达起作用限制二 exciters 之间的阶段差别的增加以及在跑期间支撑它二 exciters 的对称的转矩的动态典型表演处理的联合的分析。它身体上解释二 exciters 的自我同步的怪癖。颤动的阶段角度的余弦效果由每 exciter 愿望减少使它惯性的时刻激动。每 exciter 的惯性的剩余时刻代表它惯性的相对时刻。 exciters 是二 exciters 的惯性的相对非维的时刻都比乘他们的产品的零和四伟大的二的同步的稳定性条件比他们阶段角度的联合余弦效果的系数的平方大,它等价于联合矩阵的惯性是积极的明确并且所有它的元素是积极的。数字结果证明颤动的系统的结构能保证同步操作的稳定性条件。关键词频率俘获-稳定性-同步-颤动的系统-振动同步传播工程被辽宁省学院科学和研究( 2008S095 )支持,中国的国家自然科学基础的关键工程( 50535010 , 50805020 )并且中国( 2007AA04Z442 )的高技术研究和开发节目。 | Chunyu Zhao Hongtao Zhu Yimin Zhang Bangchun Wen | 2010 | Acta Mechanica Sinica2010，26，3： | 25 |
| 2 | Synchronization of the four identical unbalanced rotors in a vibrating system of plane motion显示文摘A new mechanism is proposed to implement the synchronization of the four unbalanced rotors in a vibrating system, which consists of a main rigid frame (MRF) and two accessorial rigid frames (ARF). An analytical approach is developed to study the coupling dynamic characteristics of the four unbalanced rotors, which converts the problem of synchronization of the four unbalanced rotors into the existence and the stability of zero solutions for the non-dimensional differential equations of the angular velocity disturbance parameters (NDDEDP). The stability of zero solutions of the NDDEDP is decomposed into that of its generalized system and a system of the three first order differential equations for the disturbance parameters of the phase differences. The coupling dynamic characteristic of the four unbalanced rotors includes the inertia coupling, the stiffness coupling of angular velocity and the load torque coupling. The non-dimensional inertia coupling matrix is symmetric, the non dimensional matrix of the stiffness coupling of angular velocity is antisymmetric and its diagonal elements are all negative. Hence, the general system of the NDDEDP automatically satisfies the generalized Lyapunov equations when the non-dimensional inertia coupling matrix is positive definite and its elements are all positive. Using Routh-Hurwitz criterion the condition of stability of differential equations for the disturbance parameters of the phase differences is obtained. The load torque coupling makes the vibrating system have the dynamic characteristic of selecting motions and self-synchronization of the four unbalanced rotors arises from the dynamic characteristic of selecting motion of the vibrating system. When the two coefficients of coupling cosine effect of phase angles are all greater than 0 and the three indexes of synchronization are all far greater than 1, the vibrating system can implement an elliptical motion of the main rigid frame required in engineering. Numeric results show that the structural parameters of the proposed mechanism can guarantee the non-dimensional inertia matrix to be always positive definite. Computer simulation is carried out to verify the results of the theoretical investigation. | ZHAO ChunYu, WEN BangChun & ZHANG XueLiang School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, China | 2010 | Science China(Technological Sciences)2010，53，2： | 12 |
| 3 | Nonlinear Dynamic Analysis of Coupled Gear-Rotor-Bearing System with the Effect of Internal and External Excitations显示文摘Extensive studies on nonlinear dynamics of gear systems with internal excitation or external excitation respectively have been carried out. However, the nonlinear characteristics of gear systems under combined internal and external excitations are scarcely investigated. An eight-degree-of-freedom(8-DOF) nonlinear spur gear-rotor-bearing model, which contains backlash, transmission error, eccentricity, gravity and input/output torque, is established, and the coupled lateral-torsional vibration characteristics are studied. Based on the equations of motion, the coupled spur gear-rotor-bearing system(SGRBS) is investigated using the Runge-Kutta numerical method, and the effects of rotational speed, error fluctuation and load fluctuation on the dynamic responses are explored. The results show that a diverse range of nonlinear dynamic characteristics such as periodic motion, quasi-periodic motion, chaotic behaviors and impacts exhibited in the system are strongly attributed to the interaction between internal and external excitations. Significantly, the changing rotational speed could effectively control the vibration of the system. Vibration level increases with the increasing error fluctuation. Whereas the load fluctuation has an influence on the nonlinear dynamic characteristics and the increasing excitation force amplitude makes the vibration amplitude increase, the chaotic motion may be restricted. The proposed model and numerical results can be used for diagnosis of faults and vibration control of practical SGRBS. | ZHOU Shihua SONG Guiqiu REN Zhaohui WEN Bangchun | 2016 | Chinese Journal of Mechanical Engineering2016，29，2： | 11 |
| 4 | FORCED VIBRATIONS WITH INTERNAL RESONANCE OF A PIPE CONVEYING FLUID UNDER EXTERNAL PERIODIC EXCITATION显示文摘Applying the multidimensional Lindstedt-Poincaré (MDLP) method, we study the forced vibrations with internal resonance of a clamped-clamped pipe conveying fluid under external periodic excitation. The frequency-amplitude response curves of the first-mode resonance with internal resonance are obtained and its characteristics are discussed; moreover, the motions of the first two modes are also analyzed in detail. The present results reveal rich and complex dynamic behaviors caused by internal resonance and that some of the internal resonances are decided by the excitation amplitude. The MDLP method is also proved to be a simple and efficient technique to deal with nonlinear dynamics. | Feng Liang Bangchun Wen | 2011 | Acta Mechanica Solida Sinica2011，24，6： | 9 |
| 5 | System reliability analysis for kinematic performance of planar mechanisms显示文摘Based on the reliability and mechanism kinematic accuracy theories, we propose a general methodology for system reliability analysis of kinematic performance of planar mechanisms. The loop closure equations are used to estimate the kinematic performance errors of planar mechanisms. Reliability and system reliability theories are introduced to develop the limit state functions (LSF) for failure of kinematic performance qualities. The statistical fourth moment method and the Edgeworth series technique are used on system reliability analysis for kinematic performance of planar mechanisms, which relax the restrictions of probability distribution of design variables. Finally, the practicality, efficiency and accuracy of the proposed method are demonstrated by numerical examples. | ZHANG YiMin HUANG XianZhen ZHANG XuFang HE XiangDong WEN BangChun | 2009 | Chinese Science Bulletin2009，54，14： | 9 |
| 6 | CHARACTERISTICS OF ELECTROMECHANICAL COUPLING SELF-SYNCHRONIZATION OF A MULTI-MOTOR VIBRATION TRANSMISSION SYSTEM显示文摘Multi-motor vibratory transmission systems have been wide used in large vibratory machines, and four-motor linear vibratory machine is one typical equipment of them. Under non-forcible synchronization condition zero-phase synchronization of the machine is non-stationary and it-phase synchronization is stable. Under half-forcible synchronization condition in which only one motor is controlled being synchronous to another, only lag synchronization near zero-phase synchronization can be realized. Both of the characteristics have never been revealed with classical theory quantitatively. The problem is solved by means of establishing an electromechanical coupling mathematical model of the system and numerical analysis of the starting processes. | Xiong Wanli,Duan Zhishan (School of Mechanical and Electrical Engineering, Xi’ an University of Architecture and Technology) Wen Bangchun (Northeastern University) | 2001 | Chinese Journal of Mechanical Engineering2001，14，3： | 8 |
| 7 | Dynamic Characteristics of Multi-degrees of Freedom System Rotor-bearing System with Coupling Faults of Rub-impact and Crack显示文摘Extensive studies on rotor systems with single or coupled multiple faults have been carried out. However these studies are limited to single-span rotor systems. A finite element model for a complex rotor-bearing system with coupled faults is presented. The dynamic responses of the rotor-bearing system are obtained by using the rotor dynamics theory and the modern nonlinear dynamics theory in connection with the continuation-shooting algorithm(commonly used for obtaining a periodic solution for a nonlinear system) for a range of rub-impact clearances and crack depths. The stability and Hopf instability of the periodic motion of the rotor-bearing system with coupled faults are analyzed by using the procedure described. The results indicate that the finite element method is an effective way for determining the dynamic responses of such complex rotor-bearing systems. Further for a rotor system with rub-impact and crack faults, the influences of the clearances are significantly different for different rub-impact stiffness. On the contrary, the influence of crack depths is rather small. The instability speeds of the rotor-bearing system increase due to the presence of the crack fault. The results obtained using the new finite element model, presented for computation and analysis of dynamic responses of the rotor-bearing systems with coupled faults, are in accordance with measurements in experiment. The formulations given can be used for diagnosis of faults, vibration control, and safe and stable operations of real rotor-bearing systems. | REN Zhaohui ZHOU Shihua LI Chaofeng WEN Bangchun | 2014 | Chinese Journal of Mechanical Engineering2014，27，4： | 7 |
| 8 | Coupled flapwise-chordwise-axial-torsional dynamic responses of rotating pre-twisted and inclined cantilever beams subject to the base excitation显示文摘A rotating pre-twisted and inclined cantilever beam model (RPICBM) with the flapwise-chordwise-axial-torsional coupling is established with the Hamilton principle and the finite element (FE) method. The effectiveness of the model is verified via comparisons with the literatures and the FE models in ANSYS. The effects of the setting and pre-twisted angles on the dynamic responses of the RPICBM are analyzed. The results show that:(i) the increase in the setting or pre-twisted angle results in the increases in the first-order flapwise and torsional frequencies while the decrease in the first-order chordwise frequency under rotating conditions;(ii) a positive/negative setting angle leads to a positive/negative constant component, while a positive/negative pre-twisted angle leads to a negative/positive constant component;(iii) when the rotation speed is non-zero, the pre-twisted angle or non-zero setting angle will result in the coupled flapwise-chordwiseaxial- torsional vibration of the RPICBM under axial base excitation. | Jin ZENG Hui MA Kun YU Zhitao XU Bangchun WEN | 2019 | Applied Mathematics and Mechanics(English Edition)2019，40，8： | 6 |
| 9 | Simulations and Experimental Investigation on Motion Stability of a Flexible Rotor-bearing System with a Transverse Crack显示文摘In the classical process for stability studies on the rotor-bearing system with crack faults,the simple discrete model is adopted for research on such problems,which neglect some needful dynamical influence factor,such as the material damping,shearing effect and gyroscopic effects,etc.Therefore,it is necessary to find a precise calculation model for simulation of the rotor-bearing system with cracks faults.In this paper,instead of the traditional simple discrete model,finite element(FE)model is adopted to investigate the motion stability of a nonlinear rotor system with crack fault.According to finite element theory,the FE model of the cracked rotor system is established firstly.It should be pointed out that the element where the crack occurs is modeled by a particular crack element and the supports at both ends are simulated by two nonlinear loads.Then,based on dimensionless and dimensionality reduction,the Newmark-βmethod and the shooting method are employed to study the effect of eccentricity and the depth of crack on instability speed and bifurcation feature.Furthermore,the simulation results are verified by some corresponding experiments.The simulation and experimental results show that instability speed does not change monotonically,but decreases firstly and then increases when the amount of eccentricity increases.Moreover,as the type of instability changes,the instability speed jumps concomitantly.Additionally,the presence of crack fault can disturb the oil whirl,as a result,instability speed tends to increase slightly,but it does not affect the type of instability and jumping phenomenon.This research presents an effective and convenient method which uses the finite element method(FEM)to research the motion stability of the nonlinear rotor-bearing system with cracked faults and other nonlinear force,and the proposed method can provide a theoretical reference for stability analysis and vibration control in more complex relevant rotor-bearing system. | LI Chaofeng YU Hexing ZHOU Shihua WEN Bangchun | 2013 | Chinese Journal of Mechanical Engineering2013，26，6： | 5 |
| 10 | Rotation Angle Control Strategy for Telescopic Flexible Manipulator Based on a Combination of Fuzzy Adjustment and RBF Neural Network显示文摘The length of fexible manipulators with a telescopic arm alters during movement.The dynamic parameters of telescopic fexible manipulators exhibit signifcant time-varying characteristics owing to variations in length.With an increase in the manipulators’length,the nonlinear terms caused by fexibility in the manipulators’dynamic equations cannot be ignored.The time-varying characteristics and nonlinear terms of telescopic fexible manipulators cause fuctuations in rotation angles,which afect the operation accuracy of end-efectors.In this study,a control strategy based on a combination of fuzzy adjustment and an RBF neural network is utilized to improve the control accuracy of fexible telescopic manipulators.First,the dynamic equation of the manipulators is established using the assumed mode method and Lagrange’s principle,and the infuence of nonlinear terms is analyzed.Subsequently,a combined control strategy is proposed to suppress the fuctuation of the rotation angle in telescopic fexible manipulators.The variation ranges of the feedforward PD controller parameters are determined by the pole placement strategy and length of the manipulators.Fuzzy rules are utilized to adjust the controller parameters in real-time.The RBF neural network is utilized to identify and compensate the uncertain part of the dynamic model of the fexible manipulators.The uncertain part comprises time-varying parameters and nonlinear terms.Finally,numerical simulations and prototype experiments prove the efectiveness of the combined control strategy.The results prove that the proposed control strategy has a smaller standard deviation of errors.Therefore,the combined control strategy is more suitable for telescopic fexible manipulators,which can efectively improve the control accuracy of rotation angles. | Dongyang Shang Xiaopeng Li Meng Yin Fanjie Li Bangchun Wen | 2022 | Chinese Journal of Mechanical Engineering2022，35，4： | 4 |
| 11 | Parameter identifications for a rotor system based on its finite element model and with varying speeds显示文摘为了为旋转的颤动完成预言,机械,一个精确有限元素(FE ) 模型和转子系统的一个有效参数鉴定方法被要求。在这研究,一个测试钻塔被用作一个转子系统的一个原型基于一个 FE 模型验证一种新奇参数鉴定技术。在改变操作速度的转子柄颤动被测量并且与 FE 结果相关。第一, FE 建模的理论和鉴定技术被介绍。然后磁盘失衡参数,僵硬和测试钻塔上的适用的支持的抑制系数被识别。有识别参数的 FE 模型的计算回答与试验性的结果比较被学习。关键词转子系统 - 有限元素模型 - 参数鉴定 - 模型确认工程被中国(50775028 ) 和中国的科技的部的国家自然科学基础为 863 高技术计划(2007AA04Z418 ) 支持。 | Qingkai Han Hongliang Yao Bangchun Wen | 2010 | Acta Mechanica Sinica2010，26，2： | 4 |
| 12 | Self-synchronization theory of dual motor driven vibration system with two-stage vibration isolation frame显示文摘This paper studies self-synchronization and stability of a dual-motor driven vibration system with a two-stage vibration isolation frame. Oscillation amplitude of the material box large enough can be ensured on the vibration system in order to screen materials. Reduction of the dynamic load transmitted to the foundation can also be achieved for the vibration system. A Lagrange equation is used to set up the motion differential equations of the system, and a dimensionless coupled equation of the eccentric rotors is obtained using a method of modified average small parameter. According to the existence condition of zero solution in the dimensionless coupled equation of the eccentric rotors, the precondition for commencing self-synchronization motion is achieved.The stability condition of self-synchronization is obtained based on the Routh-Hurwitz criterion. The theoretical analysis is validated by simulations and experiments. | He LI Dan LIU Lai JIANG Chunyu ZHAO Bangchun WEN | 2015 | Applied Mathematics and Mechanics(English Edition)2015，36，2： | 4 |
| 13 | External synchronization of two dynamical systems with uncertain parameters显示文摘External synchronization is addressed as two or more dynamical systems with synchronous motions,which is also regarded as master-slave system.In this paper,two dynamical systems,one employs a hysteretic term to model the friction phenomenon,the other involves a hardening stiffness component with the third order of displacement due to flexible deformation,are controlled to converge to the same trajectory.The control strategy is extended from feedback control for all parameters known to adaptive control for linear parameters unknown and all parameters unknown.The slave system can keep synchronous motions with the movements of master via the designed control strategy even all the parameters are not known.The stability of synchronization error,the transient process into synchronization and the effects of parameters on the designed controller using different control strategies are investigated.The simulation results unfold the feasibility and effectiveness of this synchronization method. | HAN QingKai 1,SUN XiaoYu 2,YANG XiaoGuang 3 &WEN BangChun 1 1 School of Mechanical Engineering&Automation,Northeastern University,Shenyang 110004,China 2 School of Electrical Engineering,Shenyang University of Technology,Shenyang 110023,China 3School of Mechanical Engineering,The University of Birmingham,Birmingham,B15 2TT,UK | 2010 | Science China(Technological Sciences)2010，53，3： | 3 |
| 14 | Achievement of chaotic synchronization trajectories of master-slave manipulators with feedback control strategy显示文摘This paper addresses a master-slave synchronization strategy for complex dynamic systems based on feedback control.This strategy is applied to 3-DOF planar manipulators in order to obtain synchronization in such complicated as chaotic motions of end-effectors.A chaotic curve is selected from Duffing equation as the trajectory of master end-effector and a piecewise approximation method is proposed to accurately represent this chaotic trajectory of end-effectors.The dynamical equations of master-slave manipulators with synchronization controller are derived, and the Lyapunov stability theory is used to determine the stability of this controlled synchronization system.In numerical experiments,the synchronous motions of end-effectors as well as three joint angles and torques of master-slave manipulators are studied under the control of the proposed synchronization strategy.It is found that the positive gain matrix affects the implementation of synchronization control strategy.This synchronization control strategy proves the synchronization's feasibility and controllability for complicated motions generated by master-slave manipulators. | Qingkai Han Lina Hao Hao Zhang Bangchun Wen | 2010 | Acta Mechanica Sinica2010，26，3： | 2 |
| 15 | Theoretical, Numerical and Experimental Study on Synchronization of Three Identical Exciters in a Vibrating System显示文摘The theory on synchronization of two exciters is more widely used in engineering, while that of more than two exciters is less considered. So it is of great significant to investigate synchronization of three exciters. Firstly by introducing the average method of modified small parameters, the dimensionless coupling equations(DCE) of three exciters are derived, which convert the problem of synchronization into that of existence and stability of zero solutions for the DCE and lead to the construction on criterions of synchronization and stability in the simplified form for three exciters. Then the synchronization criterion is discussed numerically, as well as the abilities of synchronization and stability, some results thereof indicate that the synchronization ability increases with the increase of the coupling moment among three exciters, but decreases with that of their phase differences. Finally, an experiment on synchronization with three exciters is carried out. Through the comparison and analysis of experimental data on phase differences among three exciters, responses of system, and phases of three exciters recorded by high-speed camera, the parameters of system satisfying the above two criterions can ensure the synchronous and stable operation of three exciters. As a result, the average method of modified small parameters can be used as a theoretical apparatus studying reasonably the synchronization mechanism of three exciters, it is also proved to be useful and feasible by numeric and experiment. The present research lays the foundation and guidance for the establishment of synchronization theory system with multi-exciter and engineering design. | ZHANG Xueliang WEN Bangchun ZHAO Chunyu | 2013 | Chinese Journal of Mechanical Engineering2013，26，4： | 2 |
| 16 | A modelbased identification approach for local fault of rotating machinery显示文摘 | Han Qing-kai Yao Hong-liang Wen Bangchun | 2008 | Advances in Vibration Engineering2008，7，4： | 1 |
| 17 | Study on synchronization of two eccentric rotors driven by hy- draulic motors in one vibrating system显示文摘 | Zhang Tianxia Wen Bangchun Fan Jian | 1997 | Shock and Vibration1997，4，56： | 1 |
| 18 | Practical reliability- based design of gear pairs显示文摘 | YIMIN Z QIAOLING L BANGCHUN W | 2003 | Mechanism and Machine Theory2003，38，12： | 1 |
| 19 | First passage of uncertain single degree of freedom nonlinear oscillators 显示文摘 | YIMIN Z BANGCHUN W QIAOLING L | 1998 | Computer Methods in Applied Mechanics and Engineering1998，165，14： | 1 |
| 20 | Reliability sensitivity for rotorstator systems with rubbing显示文摘 | YIMIN Z BANGCHUN W QIAOLING L | 2003 | Journal of Sound and Vibration2003，259，5： | 1 |
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