Investigation on nonlinear lateral-torsional coupled vibration of a rotor system with substantial unbalance

Substantial unbalance may be caused by fan blade off during the operation period of gas turbine engines, and related dynamic problems are very critical to the safety design of rotor system in aero-engine. This article aims to understand lateral-torsional coupled vibration of the rotor system with substantial unbalance. The governing equation of a modified unbalanced rotor system is established based on Lagrangian approach. Then, a mathematical analytical method is proposed in which a linear approximation is derived and the Floquet theory and Hill’s method are incorporated, from which the modal characteristics of the unbalanced rotor are obtained. The modal characteristics of the unbalanced rotor system are revealed comprehensively for the first time. Furthermore, the relation between the modes and responses of the unbalanced rotor is discussed in detail. The results show that the lateral vibration and torsional vibration of the unbalanced rotor are coupled through the inertial terms in the governing equations. Due to the coupling, veering and lock-in phenomena occur between the frequencies of the forward whirl mode and the torsional mode. Furthermore, lock-in can lead to a kind of principal instability. With regard to the response of the unbalanced rotor, both natural vibration components and enforced vibration components appear in the lateral response, while only natural vibration components appear during torsional vibration. Moreover, natural vibration components play a crucial role in the response within the principal instability region and cause divergence of the vibration amplitudes in the lateral and torsional directions.     

椭圆振动切削加工的同步控制研究

利用椭圆振动切削加工的回转体表面微织构是在机床主轴旋转、平台进给和装置椭圆振动的联合运动下得到的,机床主轴转动与装置位移输出如果不能保持完全的实时同步,会造成微织构加工的偏差。为了解决这一问题,提出了一种新的基于转角的同步控制方法,该方法在主轴的对位基准处实现装置正弦信号的复位,以修正转速漂移造成的加工位置误差,并通过判断主轴角度信号实时输出对应幅值电压来实时同步信号输出和机床旋转运动。基于LabVIEW FPGA搭建同步控制模块,经试验验证,利用该方法加工的矩形阵列微织构轴向排列与中轴线平行,与周向排列的夹角和仿真结果的偏差不超过0.1°,织构深度随转角的不同发生预设的变化,因此,同步控制方法具有实时同步控制椭圆振动切削装置的能力。     

Analysis on Output Power for Multi-direction Piezoelectric Vibration Energy Harvester

To predict the performance of multi-direction piezoelectric vibration energy harvester,an equation for calculating its output power is obtained based on elastic mechanics theory and piezoelectricity theory.Experiments are performed to verify theoretical analysis.When the excitation direction is along Y direction,a maximal output power about 0.139 mW can be harvested at a resistive load of 65kΩ and an excitation frequency of 136 Hz.Theoretical analysis agrees well with experimental results.Furthermore,the performance of multi-direction vibration energy harvester is experimentally tested.The results show that the multi-direction vibration energy harvester can harvest perfect energy as the excitation direction changes in XY plane,YZ plane,XZ plane and body diagonal plane of the harvester.     

旋转机械轴系不对中故障的建模及其理论分析

轴系不对中是旋转机械常见的故障,通过对该故障建立理论模型,并采用 Ｒａｃｃａｔｉ传递矩阵法对之进行数值计算和理论分析,重点计算了角度不对中时的振动特性。为旋转机械的故障诊断提供理论参考。     

阻尼振动系统复特征解的摄动分析

当振动系统的质量矩阵和刚度矩阵作小修改时,不重复求解大型广义特征问题,在初始的模态坐标变换基础上,用矩阵摄动法给出修改系统的振动频率和振型;然后利用修改系统的振动频率与比例阻尼参数求出修改系统的阻尼比。工程算例表明,这种方法计算简单,具有较高的精度。     

可伸缩挠性结构的稳定性研究

研究了一类可伸缩挠性梁结构的稳定性。主要结论有：一般可伸缩挠性梁结构的动力学可由刚体姿态运动、挠性体振动和梁伸缩运动相耦合的混合偏微分方程和常微分方程描述;结构振动与转动能量的耗散与积聚取决于梁的伸缩运动,在伸展过程中系统的能量被耗散,在收缩过程中系统能量被积聚,在平台保持过程系统能量维持不变。因此,梁的伸展过程是稳定的,梁的收缩过程是不稳定的,而平台保持过程是临界稳定的。     

直升机旋翼载荷中的非线性强迫振动方程迭代算法

介绍用迭代方法求解直升机桨叶气动载荷中的非线性强迫振动方程。计算时,先假定诱导下洗已确定,求出桨叶的初始载荷;再通过非线性强迫振动方程求出弯－弯－扭弹性变形。以某一直升机为例,求出了桨叶的各阶谐波载荷和弹性变形。计算结果与实验数据吻合。     

失调叶片盘耦合振动的力学模型

借助于子结构模态综合法,为研究真实的失调叶片盘耦合振动问题提出了一种非常接近于实际叶片盘的力学模型和简便的理论分析方法;并通过对一个实际失调叶片盘的强迫振动试验,对力学模型、计算公式和程序进行了考核验证。结果表明,试验与计算相当吻合。     

超声钻削加工工具更换问题的探讨

介绍了适用超声钻削加工的半波长振动系统结构、针对该振动系统,给出了工具更换后变幅杆与工具之间进行阻抗匹配的方法,依据各部分的边界条件,按一维问题,导出了加工中工具更换后的阻抗匹配数学模型,在超声钻削加工应用中具有一定的实用价值     

碟形弹簧的弯曲效应问题

以采用壳体非线性无矩理论所确定的碟形弹簧薄膜位移与薄膜应力作为初始状态,采用壳体线性有矩理论对碟形弹簧进行了弯曲位移与弯曲应力分析.分析表明:与薄膜应力相比,弯曲应力是不能略去的;而与薄膜位移相比,弯曲位移是可以略去的.因此,对碟形弹簧而言,以壳体非线性无矩理论确定位移是合理的,而以壳体线性有矩理论确定附加弯曲应力也是可行的,同时也是必要的.