Subharmonic response of single-degree-of-freedom linear vibroimpact system to narrow-band random excitation

The subharmonic response of a single-degree-of-freedom linear vibroimpact oscillator with a one-sided barrier to the narrow-band random excitation is investigated.The analysis is based on a special Zhuravlev transformation,which reduces the system to the one without impacts or velocity jumps,and thereby permits the applications of asymptotic averaging over the period for slowly varying the inphase and quadrature responses.The averaged stochastic equations are exactly solved by the method of moments for the mean square response amplitude for the case of zero offset.A perturbation-based moment closure scheme is proposed for the case of nonzero offset.The effects of damping,detuning,and bandwidth and magnitudes of the random excitations are analyzed.The theoretical analyses are verified by the numerical results.The theoretical analyses and numerical simulations show that the peak amplitudes can be strongly reduced at the large detunings.

Earthquake Barcode from a Single-Degree-of-Freedom System

Earthquake is a violent and irregular ground motion that can severely damage structures. In this paper we subject a single-degree-of-freedom system, consisting of spring and damper, to an earthquake excitation, and meanwhile investigate the response behavior from a novel theory about the dynamical system, by viewing the time-varying signum function of It can reflect the characteristic property of each earthquake through and the second component of f, where is a time-sampling record of the acceleration of a ground motion. The barcode is formed by plotting with respect to time. We analyze the complex jumping behavior in a barcode and an essential property of a high percentage occupation of the first set of dis-connectivity in the barcode from four strong earthquake records: 1940 El Centro earthquake, 1989 Loma earthquake, and two records of 1999 Chi-Chi earthquake. Through the comparisons of four earthquakes, we can observe that strong earthquake leads to large percentage of the first set of dis-connectivity.

Design and Optimization for the Occupant Restraint System of Vehicle Based on a Single Freedom Model

Throughout the vehicle crash event, the interactions between vehicle, occupant, restraint system (VOR) are complicated and highly non-linear. CAE and physical tests are the most widely used in vehicle passive safety development, but they can only be done with the detailed 3D model or physical samples. Often some design errors and imperfections are difficult to correct at that time, and a large amount of time will be needed. A restraint system concept design approach which based on single-degree-of-freedom occupant-vehicle model (SDOF) is proposed in this paper. The interactions between the restraint system parameters and the occupant responses in a crash are studied from the view of mechanics and energy. The discrete input and the iterative algorithm method are applied to the SDOF model to get the occupant responses quickly for arbitrary excitations (impact pulse) by MATLAB. By studying the relationships between the ridedown efficiency, the restraint stiffness, and the occupant response, the design principle of the restraint stiffness aiming to reduce occupant injury level during conceptual design is represented. Higher ridedown efficiency means more occupant energy absorbed by the vehicle, but the research result shows that higher ridedown efficiency does not mean lower occupant injury level. A proper restraint system design principle depends on two aspects. On one hand,the restraint system should lead to as high ridedown efficiency as possible, and at the same time, the restraint system should maximize use of the survival space to reduce the occupant deceleration level. As an example, an optimization of a passenger vehicle restraint system is designed by the concept design method above, and the final results are validated by MADYMO, which is the most widely used software in restraint system design, and the sled test. Consequently, a guideline and method for the occupant restraint system concept design is established in this paper.

The duality of a single particle with an n-dimensional internal degree of freedom

The wave-particle duality of a single particle with an n-dimensional internal degree of freedom is re-examined theo- retically in a Mach-Zehnder interferometer. The famous duality relation D2 ＋ V2 〈 1 is always valid in this situation, where D is the distinguishability and V is the visibility. However, the sum of the particle information and the wave information, D2 V2, can be smaller than one for the input of a pure state if this initial pure state includes the internal degree of freedom of the particle, while the quantity D2~ V2 is always equal to one when the internal degree of freedom of the particle is excluded.

Research on robust control strategy of single DOF supporting system of MLDSB based on H∞ mixed-sensitivity Method

Because of hydraulic-electromagnetic double supporting forms,the supporting capacity and stiffness of magnetic-liquid double suspension bearing(MLDSB)can be improved sharply and then it is more suitable for medium speed,heavy load and frequent-starting occasions.Due to the multiple uncertainty,such as the coupling,the unmodeled dynamics,the parameter perturbation and the external disturbance perturbation,the robust stability and stiffness of control system of MLDSB are hard to meet the design requirements.Firstly,the structural features and the regulation mechanisms of MLDSB are presented and the radial 4-DOF kinetic equations are established.Secondly,the influence factors of the control system's coupling on unbalanced vibration caused by the deviation of the rotor center of mass are revealed,and then the weighting function of suppressing the unbalanced vibration can be obtained.Finally,H∞ controller of MLDSB is designed with H∞ mixed-sensitivity method,and the control performances of H∞ controller is compared with the state feedback controller.The simulation results show that single degree of freedom(DOF)supporting system of MLDSB with H∞ controller has good robust stability,stiffness and the ability to suppress unbalanced external disturbances.This study can provide the theoretical reference for stabilized suspension and control of MLDSB.

人工肾脏泵用磁悬浮轴承设计与磁力特性分析

代替透析膜的持续离心分离新方法提高了依赖血液透析治疗的肾脏病患者生活质量,随之,人工肾脏泵的研究被很多学者关注.但传统人工肾脏泵采用滚动轴承进行支撑,存在溶血高、血栓率高等问题,为此,本文利用磁悬浮轴承的非接触、无润滑、高转速等优点,研发了一种应用于人工肾脏泵的结构紧凑且节能的单自由度控制型磁悬浮轴承.利用有限元分析软件进行仿真,探索径向被动控制部分和轴向主动控制部分的设计参数,并对总体进行仿真验证,进而对磁悬浮轴承进行结构性能评估.结果表明:仿真与实验的径向位移刚度系数分别为47.432 N/mm和49.531 N/mm,轴向电流刚度系数分别为0.144 N/AT和0.135 N/AT,轴向位移刚度系数为223.071 N/mm,满足该磁悬浮轴承的五自由度稳定悬浮要求;所设计的磁悬浮轴承简化了系统结构,减小了控制难度以及降低了系统功耗.

基于等效单自由度的涡轮扫频振动研究

针对有限元方法对扫频工况下涡轮振动求解出现的困难,提出了基于等效单自由度的涡轮结构振动扫频算法,并对涡轮扫频振动特征进行分析.建立了涡轮流固耦合计算模型,使用非线性谐波法得到了涡轮表面的气动激励,使用谐响应方法分析了涡轮的稳态振动特性.基于能量原理,建立了涡轮等效单自由度计算模型,通过与稳态振动结果的对比,验证了方法的可行性与正确性,并利用所建立模型分析了涡轮的扫频振动特征.结果表明,涡轮在扫频工况下响应峰值、半功率带宽以及响应曲线形状等特征与稳态工况存在差异.等效单自由度算法与有限元方法计算得到的涡轮响应误差小于10%,共振峰偏移率小于1%.

An energy harvester combining a piezoelectric cantilever and a single degree of freedom elastic system

This paper presents a type of vibration energy harvester combining a piezoelectric cantilever and a single degree of freedom (SDOF) elastic system. The main function of the additional SDOF elastic system is to magnify vibration displacement of the piezoelectric cantilever to improve the power output. A mathematical model of the energy harvester is developed based on Hamilton's principle and Rayleigh-Ritz method. Furthermore, the effects of the structural parameters of the SDOF elastic system on the electromechanical outputs of the energy harvester are analyzed numerically. The accuracy of the output performance in the numerical solution is identified from the finite element method (FEM). A good agreement is found between the numerical results and FEM results. The results show that the power output can be increased and the frequency bandwidth can be improved when the SDOF elastic system has a larger lumped mass and a smaller damping ratio. The numerical results also indicate that a matching load resistance under the short circuit resonance condition can obtain a higher current output, and so is more suitable for application to the piezoelectric energy harvester.

消能摇摆钢框架结构地震反应的计算方法

消能摇摆钢框架结构(SRF)通过摇摆钢桁架抑制各楼层发生不均匀地震变形,通过位于转动底脚的阻尼器消耗地震输入能量,抗震性能良好.推导消能摇摆钢框架结构的弹性计算方法,提出SRF等效单自由度(SDOF)分析模型,基于等效线性化原理给出SRF非线性地震反应的计算方法.采用ATC-63推荐的地震动记录集进行结构弹塑性地震反应分析,得到SRF在3类地震动激励下的延性需求谱.研究表明,由弹性计算方法可以得到SRF在水平作用下的力学反应,等效单自由度分析模型能准确描述整体结构的受力机理和非线性地震反应,依此推导所得的SRF地震反应计算方法可用于预估实际结构的地震反应.相比于普通钢框架结构,SRF屈服后刚度比的取值范围更大,计算所得的延性需求谱与之匹配,可作为设计参考.

基于加速度反应谱与地震动持时的地震输入能量谱研究

建立具有设计意义的地震动总输入能量谱是实现结构能量设计的基础。根据中长周期段修正的加速度反应谱及地震动有效持时,提出了一种生成地震动输入能量谱的方法。统计270组人工波的时程分析结果,得到了以等效速度表征的四段式弹性单自由度(single degree of freedom,SDOF)体系总输入能量谱,并给出了不同场地类型、抗震设防烈度等设计条件下归一化等效速度谱的参数取值。在考虑延性系数及刚度折减系数的影响后,提出了弹塑性SDOF体系修正输入能量谱的等效速度谱,估算了引起结构损伤的滞回耗能占总能量的比值。该能量谱可为基于能量的结构设计及研究提供参考。

一种变自由度单回路机构的变拓扑结构设计及拓扑分析

特殊单回路机构通过一些特殊位置后会发生自由度变化,从而使其拓扑学、运动学/动力学性能发生变化,并适用于不同的应用背景。研究设计了一种由8个转动副(R)组成的单回路并联机构,它有3种运动模式,分别为2自由度、4自由度以及3自由度驱动,对应3个机构;然后,分析计算了3种运动模式下机构的方位特征集、自由度、耦合度3个主要拓扑特性,并分析了3种机构变拓扑结构的稳定性及可转变性;同时,对运动模式1、模式3下机构的位置正反解进行了分析。为基于这种变自由度单回路机构单元的可重构并联机构的研究提供了基础。

基于弹性网络回归的地震动参数排序与比选

为合理选取地震动参数以有效减小结构损伤预测的不确定性,基于弹性网络回归技术对多个地震动参数进行了比选。基于多种地震动参数以及大量单自由度(SDOF)模型的增量动力分析结果建立弹性网络回归模型,定义回归模型中回归系数值以及回归系数值为非零值的个数分别为地震动参数的敏感性系数和频数。基于地震动参数敏感性和频数分析结果对多种地震动参数进行排序,研究结构恢复力模型、地震动集和结构极限状态对地震动参数排序结果的影响。基于一座8层钢框架结构分析结果验证了基于弹性网络回归的地震动参数比选方法的有效性。结果表明:选取代表性的地震动参数加入最小二乘回归模型时,不同结构极限状态下回归分析中残差标准差显著减小。基于大量SDOF体系的地震动参数排序结果比选出了受地震动集、结构恢复力模型和结构极限状态影响较小的地震动参数。结果可为结构抗震能力预测用地震动参数的比选提供理论基础。

基于谐振改进型单自由度自抗扰控制器的PMSM转速波动抑制策略

高性能系统期望电机输出平滑且稳定的转速。然而,永磁同步电机驱动系统的转速环遭受多源扰动影响,导致电机输出转速呈现非周期和周期波动。为了抑制转速环中多源扰动,该文提出一种谐振改进型单自由度自抗扰控制器(active disturbance rejection controller,ADRC)。单自由度ADRC保留了传统ADRC对非周期扰动的抑制能力。在此基础上,该文采用准谐振控制器拓展单自由度ADRC观测器在特定频率处的带宽,以进一步提高单自由度ADRC对周期扰动的抑制能力。因此,所提方法可以同时抑制转速的非周期和周期波动进而提高转速的控制性能。此外,该文利用Nyquist稳定判据分析所提方法的稳定性。最后,通过实验验证所提方法的有效性。

弹塑性SDOF系统的地震输入能量谱

以4种场地土条件下40条强震记录为输入,分析了弹塑性单自由度(Single Degree of Freedom,SDOF)系统的地震输入能量谱,并对地震动强度和SDOF系统参数对地震输入能量谱的影响进行了研究。结果表明:能量谱峰值主要由地震动强度决定,阻尼比和延性系数有很大影响。在长周期范围,延性系数一定时,随着阻尼比的增大,能量谱值也有所增大;随延性系数增大,能量谱值随阻尼比增加而增大的趋势有所减缓。采用归一化方法,根据能量谱的特征建议了简化三段式地震输入能量谱,并根据能量谱分析结果的统计,建议了弹塑性SDOF系统能量谱峰值和能量谱曲线参数的确定方法。

弹性SDOF体系地震动输入能量的影响因素分析

按美国抗震设计规范ATC 3-06的分类标准将4种场地类别上的420条地震波记录分为12组,进行了大量的单自由度(SDOF)体系的弹性时程分析;重点研究了场地类别、地震设计分组及阻尼比对地震动输入能量的影响;通过回归分析建立了考虑不同阻尼比影响的地震峰值等效速度与地震特征周期的相关公式。结果表明:随着阻尼比的增大,地震动输入能量呈降低趋势;地震设计分组及场地类别对地震动输入能量有显著影响。

基于子结构等效刚度修正的抗震混合试验方法研究

为了研究试验子结构等效刚度对结构抗震混合试验结果的影响,以结构固有频率设计为基础,并根据振动台的尺寸和承载能力要求设计两榀三层三跨的钢框架模型做地震模拟振动台试验;根据结构的对称特性选取框架底层1/4及1/2结构为试验子结构并利用结构变形协调原理对试验子结构边界自由度进行缩减,设计了双通道作动器协同控制加载技术对试验子结构边界条件进行模拟,最后对所设计的三层钢框架模型进行混合试验,混合试验结果与振动台试验吻合较好,这表明在结构振动台抗震性能试验受限于台面尺寸和承重等因素时,基于子结构等效刚度的混合试验方法可为结构抗震性能分析提供一种有效的途径。

基于等损伤的主余震序列型地震动PGA放大系数谱研究

大地震发生后往往会伴随强余震发生,强烈余震会加重结构的破坏程度,在抗震设计及结构损伤评估中考虑余震的影响是一重要课题。采用NGA-West2数据库建立主余震序列型地震动记录数据集,基于损伤等效思想定义主余震作用下PGA放大系数α,针对单自由度体系结构,通过动力时程分析建立不同相对强度、不同场地条件下平均PGA放大系数谱,进一步通过回归分析构建PGA放大系数谱的预测方程,分析统计结果的离散性。结果表明:PGA放大系数谱受场地条件影响较小,受主余震相对强度影响显著;放大系数谱值随周期增大而减小。谱预测方程能够提供目标损伤下结构的主震PGA放大需求,并可以作为设计谱调整系数使用,以实现在结构抗震设计及结构损伤评估中考虑余震的影响。

悬臂结构地震响应分析的广义单自由度模型研究

针对有限元方法存在计算时间过长的缺点,不适用于需要多次响应分析的结构抗震性能评估问题。进行了悬臂结构线性地震响应分析的广义单自由度模型研究,提出了多项式形函数和基于多项式形函数的单自由度模型,并通过与有限元分析结果的对比分析,调查了基于多项式形函数的单自由度模型对典型地震波激励下结构响应分析的有效性。结果表明:提出的基于多项式形函数的广义单自由度模型平均误差为7.20%,为提高建模准确性,建议采用水平集中荷载施加方法进行多项式形函数参数估计。

弹塑性SDOF体系地震输入归一化等效速度谱

为了确定弹塑性单自由度(single degree of freedom,SDOF)体系地震输入能,分析了中美场地土剪切波速转换关系,将从美国PEER地震记录数据库选取的220条强震记录按中国场地土类型进行分类,基于能量平衡原理,采用归一化方法,建议了一种基于复合强度指标的弹性SDOF体系三段式等效速度谱.分析了5类场地土条件下SDOF体系系统参数对地震输入等效速度谱的影响.研究结果表明:刚度折减系数对等效速度谱无明显影响;延性系数和阻尼比增大均对等效速度谱峰值和下降段衰减速度有削弱作用.综合考虑各类影响因素,通过参数多次拟合,得出弹性SDOF体系归一化等效速度谱峰值段及下降段修正系数,提出了一种适用于我国场地土类型、可直接供设计使用的弹塑性SDOF体系归一化等效速度谱确定方法,并验证了其有效性.

弹性SDOF系统的地震输入能量谱

本文以4种场地土条件下40条强震记录为输入,对弹性单自由度(SDOF)系统的地震输入能量谱进行了研究。首先研究了SDOF系统参数和地面运动参数对弹性地震输入能量谱的影响。结果表明,在中长周期范围,弹性SDOF系统的阻尼比和地面运动强度对能量谱峰值有较大影响;在长周期范围,随弹性SDOF系统阻尼比的增大,能量谱值也有所增大。随后,采用归一化能量谱方法,并根据能量谱曲线的特征,建议了简化三段式地震输入能量谱。在此基础上,根据4种场地土条件下40条强震记录能量谱计算结果的统计分析,建议了能量谱峰值和能量谱曲线参数的确定方法。