非线性动力学理论及其在机械系统中应用的若干进展

非线性动力学的理论及其工程应用是非线性科学研究的前沿和热点，应用非线性动力学的理论揭示事物动态过程现象的本质和机理，进行自主性原始创新，具有十分重大的理论和应用价值，在科学与工程中具有广阔的应用前景。综述非线性动力学基础理论方面的近期研究成果及其在机械系统中应用的研究进展。理论研究方面主要涉及揭示非线性动力系统周期分岔解与系统结构参数之间关系的C—L方法、高余维分岔的普适分类、高余维非对称分岔的普适开折、约束分岔的分类、计算非线性自治系统正规形的直接方法、计算非线性非自治系统正规形的复内积平均法以及高维非线性系统的降维方法等。应用方面主要涉及大型旋转机械非线性转子系统的失稳机理、分岔解与混沌运动、故障诊断及其综合治理技术；冲击振动机械的稳定性、Hopf分岔、亚谐分岔、余维二分岔和混沌运动；大型共振筛的非线性振动及其动力学设计方法等。     

Prospects of using a permanent magnetic end effector to despin and detumble an uncooperative target

Space debris, such as defunct satellites and upper stages of rockets, becomes an uncooperative target after losing its attitude control and communication ability. In addition, tumbling motion can occur due to environmental perturbations and residual angular momentum prior to the object’s end-of-mission. To minimize the collision risk during docking and capturing of the tumbling target, a non-contact method based on the eddy current effect is put forward to transmit the control torque to the tumbling target. The main idea is to induce a controllable torque on the conducting surface of the tumbling target using a rotational magnetic field generated by a Halbach rotor. The radial and axial Halbach rotors are used to damp the spinning and nutation motions of the target, respectively. The normal and tangential force are evaluated concerning the relative pose between the chaser and the target. A simplified dynamic model of the nutation damping and despinning processes is developed and the influences of the asymmetrical principal moments of inertia and transverse angular velocity are discussed. The numerical simulation results show that the designed Halbach rotor stabilized the target attitude within an acceptable time. The electromagnetic nutation damping and despinning method provides new solutions for the development of on-orbit capture technology.     

CFD simulation of helicopter rotor flow based on unsteady actuator disk model

Actuator Disks (AD) can provide characterizations of rotor wakes while reducing computational expense associated with modeling the fully resolved blades. This work presents an unsteady actuator disk method based on surface circulation distribution combined with empirical data, blade element theory and rotor momentum theory. The nonuniform circulation distribution accounts for 3D blade load effects, and in particular, tip loses. Numerical simulations were conducted for the isolated pressure sensitive paint model rotor blade in hover and forward flight using the HMB3 CFD solver of Glasgow University. Validation of CFD results in comparison with published numerical data was performed in hover, for a range of blade pitch angles using fully turbulent flow and the k-ω SST model. In forward flight, the vortex structures predicted using the unsteady actuator disk model showed configurations similar to the ones obtained using fully resolved rotor blades. Despite the reduced grid cells number, the CFD results for AD models captured well the main vortical structures around the rotor disk in comparison to the fully resolved cases.     

轴承位置对涡轮泵转子系统稳定性的影响研究

针对低温液体火箭发动机涡轮泵转子非线性系统开展了轴承位置对稳定性的影响研究。建立了涡轮泵转子非线性系统的动力学模型,分别研究了理想安装时和非理想安装条件下泵端和涡轮端轴承位置变化对转子系统稳定性的影响,给出了失稳转速随轴向位置的变化规律,为液体火箭发动机涡轮泵转子系统结构设计、故障诊断与安装维护提供理论依据。     

直升机旋翼/斜梁折叠控制系统原理与改进措施

旋翼、斜梁折叠是舰载直升机特定的基本功能。从直升机旋翼/斜梁折叠电气系统分析出发,通过分析折叠系统工作原理和电气故障原因,提出系统改进方法。     

基于非结构网格CFD技术的旋翼气动噪声计算方法研究

将基于非结构网格技术的旋翼流场CFD计算方法与基于FW-H和Kirchhoff方程的声学方法相结合,建立了一套既适合于直升机旋翼厚度、载荷和桨-涡干扰噪声,又适合于跨声速高速脉冲噪声的综合计算模型。为提高旋翼流场及桨叶表面气动载荷计算的精度,主控方程的求解采用了三维可压非定常的N-S方程,网格划分则使用非结构运动嵌套网格方法。在噪声计算中,通过FW-H方法计算旋翼的厚度噪声和载荷噪声,并选取能够包含流场非线性区域的旋转面作为Kirchhoff积分面,由Kirchhoff方法计算包含四极子项的高速脉冲噪声。应用该模型,以AH-1旋翼为算例,计算了不同飞行状态下的旋翼气动噪声,并与可得到的试验结果进行比较,验证了方法的有效性。然后,着重对两种声学方法对计算结果的影响进行了对比研究,并分析了旋翼厚度噪声、载荷噪声和四极子噪声的特性。     

Containment ability and groove depth design of U type protection ring

High-energy rotor uncontained failure can cause catastrophic damage effects to aircraft systems if not addressed in design. In this paper, numerical simulations of three high-energy rotor disk fragments impacting on U type protection rings are carried out using LS-DYNA. Protection rings with the same mass and different groove depths are designed to study the influence of the groove depth. Simulation results including kinetic energy and impact force variation of single fragment are presented. It shows that the groove depth infects both the axial containment ability of the protection ring and the transfer process of energy. The depth of groove ought to be controlled to an appropriate value to meet both the requirement of axial containment and higher safety factor. Verification test on high-speed spin tester has been conducted and shows that protection ring with appropriate U structure can resist the impact of the disk burst fragments. The ring is inflated from a circular to an oval-triangle shape. The corresponding simulation shows good agreement with the test.     

航空发动机机匣支承动刚度有限元计算及验证

针对航空发动机转子试验器,在Pro／E中建立了机匣的三维实体模型。通过Pr0／E与ANSYS的无缝连接技术,在ANSYS中得到了机匣的三维有限元模型,采用Solid185实体单元进行网格划分并采用完全法得到了机匣节点位移一频率响应,然后利用编写的MATLAB刚度计算程序得到了机匣支承刚度随频率变化的曲线。利用锤击法对转子试验器进行了机匣动刚度测试试验,并与仿真结果进行了对比。结果表明,基于ANSYS的计算刚度值和实验测试值达到了很好的一致性。同时为了体现敲击点、测试点对于刚度测试值的影响,试验采用了三种测试方案,并对三种试验方案的测试结果进行对比分析,不同方案得到的结果之间具有良好的一致性,为以后的刚度测试奠定了方法基础。     

转子动静碰摩故障试验研究

为了研究转子碰摩时非线性动力学行为,设计了一种可以模拟单点、多点、局部、整周碰摩的转子碰摩实验装置,并且在ZT-3型多功能转子试验器上进行了碰摩故障试验研究,通过改变转子转速和转静件间隙来观察碰摩转子在不同条件下的振动情况,同时运用波形图、频谱图、轴心轨迹分析了转子系统碰摩时的非线性响应。试验结果表明,本文设计的碰摩装...     

直升机无轴承尾桨柔性梁标定与解耦

本文介绍了一种直升机无轴承尾桨柔性梁标定与解耦技术,该技术能有效地解决无轴承尾桨柔性梁在试验中挥舞弯矩与摆振弯矩的耦合问题,并能有效分离截面上各分项试验载荷,减少其试验误差。