Triad-displaced ULAs configuration for non-circular sources with larger continuous virtual aperture and enhanced degrees of freedom

Non-uniform linear array(NULA)configurations are well renowned due to their structural ability for providing increased degrees of freedom(DOF)and wider array aperture than uniform linear arrays(ULAs).These characteristics play a significant role in improving the direction-of-arrival(DOA)estimation accuracy.However,most of the existing NULA geometries are primarily applicable to circular sources(CSs),while they limitedly improve the DOF and continuous virtual aperture for noncircular sources(NCSs).Toward this purpose,we present a triaddisplaced ULAs(Tdis-ULAs)configuration for NCS.The TdisULAs structure generally consists of three ULAs,which are appropriately placed.The proposed antenna array approach fully exploits the non-circular characteristics of the sources.Given the same number of elements,the Tdis-ULAs design achieves more DOF and larger hole-free co-array aperture than its sparse array competitors.Advantageously,the number of uniform DOF,optimal distribution of elements among the ULAs,and precise element positions are uniquely determined by the closed-form expressions.Moreover,the proposed array also produces a filled resulting co-array.Numerical simulations are conducted to show the performance advantages of the proposed Tdis-ULAs configuration over its counterpart designs.

Design and Analysis of a Magnetic Bearings with Three Degrees of Freedom

The current research of supporting and transmission system in flywheel energy storage system(FESS) focuses on the low consumption design. However, friction loss is a non-negligible factor in the high-speed but lightweight FESS energy and momentum storage with mechanical-type supporting system. In order to realize the support system without mechanical loss and to maximize the e ciency of the flywheel battery, a permanent magnet biased magnetic bearings(PMBMB) is applied to the FESS with the advantages of low loss, high critical speed, flexible controllability and compact structure. In this frame, the relevant research of three degrees of freedom(3-DOF) PMBMB for a new type FESS is carried out around the working principle, structural composition, coupling characteristics analysis, mathematical model, and structural design. In order to verify the performance of the 3-DOF PMBMB, the radial force mathematical model and the coupling determination equations of radial two DOF are calculated according to an equivalent magnetic circuit, and radial–axial coupling is analyzed through finite element analysis. Moreover, a control system is presented to solve the control problems in practical applications. The rotor returns to the balanced position in 0.05 s and maintains stable suspension. The displacement fluctuation is approximately 40 μm in the y direction and 30 μm in the x direction. Test results indicate that the dynamic rotor of the proposed flywheel energy storage system with PMBMB has excellent characteristics, such as good start-of-suspension performance and stable suspension characteristics. The proposed research provides the instruction to design and control a low loss support system for FESS.

Dynamic analysis of new type elastic screen surface with multi degree of freedom and experimental validation

A feasible method was proposed to improve the vibration intensity of screen surface via application of a new type elastic screen surface with multi degree of freedom(NTESSMDF). In the NTESSMDF, the primary robs were coupled to the main screen structure with ends embedded into the elastomers, and the secondary robs were attached to adjacent two primary robs with elastic bands. The dynamic model of vibrating screen with NTESSMDF was established based on Lagrange's equation and the equivalent stiffnesses of the elastomer and elastic band were calculated. According to numerical simulation using the 4th order Runge-Kutta method, the vibration intensity of screen surface can be enhanced substantially with an averaged acceleration amplitude increasing ratio of 72.36%. The primary robs and secondary robs vibrate inversely in steady state, which would result in the friability of materials and avoid stoppage. The experimental results validate the dynamic characteristics with acceleration amplitude rising by62.93% on average, which demonstrates the feasibility of NTESSMDF.

Primary resonance of multiple degree-of-freedom dynamic systems with strong non-linearity using the homotopy analysis method

A homotopy analysis method（HAM）is presented for the primary resonance of multiple degree-of-freedom systems with strong non-linearity excited by harmonic forces.The validity of the HAM is independent of the existence of small parameters in the considered equation.The HAM provides a simple way to adjust and control the convergence region of the series solution by means of an auxiliary parameter.Two examples are presented to show that the HAM solutions agree well with the results of the modified Linstedt-Poincar＇e method and the incremental harmonic balance method.

新型3-DOF 1T2R并联机构的运动学分析与尺度优化

移动和转动混合运动的并联机构具有很高的研究和应用价值。基于转移混合输出运动的机构适用范围广,但该类机构的设计比较困难。为了研发和推广转移混合运动的1T2R并联机构,基于平面五杆机构和一条无约束支链,设计了一种一平移两转动(1T2R)的并联机构。首先,根据方位特征(POC)方程对机构进行了拓扑结构分析,并计算了该机构的自由度;然后,对该并联机构进行了运动学建模,推导了其位置正反解的解析表达式,并基于雅可比矩阵分析了机构的奇异性,利用三维离散搜索法计算了机构的工作空间,给出了机构在工作空间中的灵巧度分布情况;最后,利用粒子群算法(PSO)对机构的工作空间和灵巧度进行了双重优化,同时探讨了无约束支链的布置角φ对机构工作空间和灵巧度的影响。研究结果表明:所设计的1T2R并联机构结构简单,具有位置解析解;优化后的机构的工作空间和灵巧度分别提升了93.47%,203.42%;当无约束支链的驱动方向与平面(2P-3R)机构垂直布置时,能够获得更好的运动性能。该结果为3-DOF 1T2R机构的实际应用奠定了理论基础。

一种6-DOF小行星着陆轨迹序列凸优化方法

针对6自由度的小行星动力着陆多约束轨迹优化问题,提出了一种基于序列凸优化的小行星着陆轨迹优化算法。首先采用多面体引力场模型计算小行星的引力场,其可用于描述任意形状的小行星引力场,且比质点群法和球谐函数展开法等方法计算精度更高。为了在凸约束下解决小行星着陆过程燃料消耗最优问题,通过对探测器动力学模型及其约束进行线性化和离散化,将原来的非凸连续时间优化问题转化为凸化的子问题,即二阶锥规划问题(SOCP);然后引入了虚拟控制项和信赖域,以增强算法的鲁棒性。通过在形状不规则小行星上的着陆模拟,验证了所提出算法的有效性,仿真结果满足各项约束条件,可实现高精度着陆和燃料消耗最优的目标。

Separation of Comprehensive Geometrical Errors of a 3-DOF Parallel Manipulator Based on Jacobian Matrix and Its Sensitivity Analysis with Monte-Carlo Method

Parallel kinematic machines （PKMs） have the advantages of a compact structure,high stiffness,a low moving inertia,and a high load/weight ratio.PKMs have been intensively studied since the 1980s,and are still attracting much attention.Compared with extensive researches focus on their type/dimensional synthesis,kinematic/dynamic analyses,the error modeling and separation issues in PKMs are not studied adequately,which is one of the most important obstacles in its commercial applications widely.Taking a 3-PRS parallel manipulator as an example,this paper presents a separation method of source errors for 3-DOF parallel manipulator into the compensable and non-compensable errors effectively.The kinematic analysis of 3-PRS parallel manipulator leads to its six-dimension Jacobian matrix,which can be mapped into the Jacobian matrix of actuations and constraints,and then the compensable and non-compensable errors can be separated accordingly.The compensable errors can be compensated by the kinematic calibration,while the non-compensable errors may be adjusted by the manufacturing and assembling process.Followed by the influence of the latter,i.e.,the non-compensable errors,on the pose error of the moving platform through the sensitivity analysis with the aid of the Monte-Carlo method,meanwhile,the configurations of the manipulator are sought as the pose errors of the moving platform approaching their maximum.The compensable and non-compensable errors in limited-DOF parallel manipulators can be separated effectively by means of the Jacobian matrix of actuations and constraints,providing designers with an informative guideline to taking proper measures for enhancing the pose accuracy via component tolerancing and/or kinematic calibration,which can lay the foundation for the error distinguishment and compensation.

Flexible Bio-tensegrity Manipulator with Multi-degree of Freedom and Variable Structure

Conventional manipulators with rigid structures and sti ness actuators have poor flexibility,limited obstacle avoidance capability,and constrained workspace.Some developed flexible or soft manipulators in recent years have the characteristics of infinite degrees of freedom,high flexibility,environmental adaptability,and extended manipulation capability.However,these existing manipulators still cannot achieve the shrinking motion and independent control of specified segments like the animals,which hinders their applications.In this paper,a flexible bio-tensegrity manipulator,inspired by the longitudinal and transversal muscles of octopus tentacles,was proposed to mimic the shrinking behavior and achieve the variable motion patterns of each segment.Such proposed manipulator uses the elastic spring as the backbone,which is driven by four cables and has one variable structure mechanism in each segment to achieve the independent control of each segment.The variable structure mechanism innovatively contains seven lock-release states to independently control the bending and shrinking motion of each segment.After the kinematic modeling and analysis,one prototype of such bionic flexible manipulator was built and the open-loop control method was proposed.Some proof-of-concept experiments,including the shrinking motion,bending motion,and variable structure motion,were carried out by controlling the length of four cables and changing the lock-release states of the variable structure mechanism,which validate the feasibility and validity of our proposed prototype.Meanwhile,the experimental results show the flexible manipulator can accomplish the bending and shrinking motion with the relative error less than 6.8%through the simple independent control of each segment using the variable structure mechanism.This proposed manipulator has the features of controllable degree-of-freedom in each segment,which extend their environmental adaptability,and manipulation capability.

5-DOF混联机器人设计与运动学分析

针对现有2R1T并联机构并不能很好地满足航空航天工业制孔稳定性的问题,设计了一种全新的两转一移并联机构3SPU-PU,并基于此并联机构设计了2-DOF转头,构造了5-DOF混联机器人,可用于某型飞机座舱盖制孔。首先,利用修正的G-K公式计算了3SPU-PU并联机构的自由度;其次,利用子结构综合的方法对所设计的五自由度混联机器人进行了逆运动学分析;运用ADAMS仿真分析与MATLAB理论计算对运动学分析理论模型进行了验证;最后,利用有限元分析方法对混联机器人进行了静力学分析。结果表明,所设计的混联机器人刚度大、质量轻,能更好地满足制孔稳定性的需求,研究结果也为混联机器人的样机研制、动力学分析及实时控制打下了理论基础。

基于神经网络的7-DOF机械臂时间收敛性研究

为解决7自由度(DOF)机械臂在利用径向基函数(RBF)神经网络自适应控制克服外界扰动时出现追踪慢的问题,提出了具有时变约束状态的神经网络自适应控制方案,给出了机械臂动力学方程,由神经网络训练求出权重;设计控制律,建立李雅普诺夫函数方程和不对称项推导其收敛性;利用Simulink仿真,针对时间收敛性分析了角位移、角速度、力矩以及扰动拟合;设计范围参数,以遗传算法(GA)优化。系统仿真结果表明,在保证控制精度的条件下,时间收敛性明显增快。

Robust <i>H</i>_∞Controller for High Precision Positioning System, Design, Analysis, and Implementation

In this paper, a systematic robust control design and analysis for a single axis precise positioner is presented. The effects of uncertainties on closed-loop stability and performance are considered in the H∞ robust controllers design. v-gap metric is utilized to validate the intelligently estimated uncertainty. The robust controllers are formulated within the frame- work of the standard H∞ mixed sensitivity optimization problem. Furthermore, a specially designed integral-H∞ and two-degree-of-freedom 2 DOF H∞ controllers are developed to provide improved robust performance and resolution properties. It is shown that the proposed design schemes are very effective for robust control and precise tracking performance of the servo positioning system.

Modeling and Stability Analysis for Dual-Spinning Projectiles with Canards

To develop the guided spin-stabilized projectiles with high hit precision,a class of dual-spinning stabilized projectile equipped with canards in atmospheric is studied.The 7 degrees of freedom(DOF) nonlinear equations are written in a non-rolling body frame.The work reported here focuses on the ballistic property analysis including the spin rates,incidence angle,ballistic drift and lateral velocity.The dual-spinning projectiles are fundamentally less stable than conventional spin-stabilized projectiles.Hence,the gyroscopic stability is also studied in this paper.Theoretical models are given in this work,and the results of numerical analysis are discussed.

Singularity analysis of a two-dimensional elastic cable with 1:1 internal resonance

A two-degree-of-freedom bifurcation system for an elastic cable with 1：1 internal resonance is investigated in this paper. The transition set of the system is obtained with the singularity theory for three cases. The whole parametric plane is divided into several different persistent regions by the transition set. The bifurcation diagrams in different persistent regions are obtained.

Analysis of State Homicide Rates Using Statistical Ranking and Selection Procedures

Nonparametric and parametric subset selection procedures are used in the analysis of state homicide rates (SHRs), for the year 2005 and years 2014-2020, to identify subsets of states that contain the “best” (lowest SHR) and “worst” (highest SHR) rates with a prescribed probability. A new Bayesian model is developed and applied to the SHR data and the results are contrasted with those obtained with the subset selection procedures. All analyses are applied within the context of a two-way block design.

针对半月板损伤患者的运动学步态分析

目的:探讨应用Codamotion 2CX1三维动态关节运动捕捉系统分析不同程度半月板损伤患者运动学特征。方法:2020年12月至2022年6月收治的半月板损伤患者及招募的正常人共135例,男82例,女53例;年龄14~29岁;病程1~3个月。结合临床症状及MRI检查明确半月板损伤诊断,根据Stoller分级标准将半月板损伤分为4级:0级(正常)37例,Ⅰ级30例,Ⅱ级33例,Ⅲ级35例。采用Codamotion 2CX1三维动态关节运动捕捉系统对各组受试者进行行走测试,采集步行及运动学定量化指标,包括膝关节屈伸、内外旋、内外翻,并对其进行运动学进行分析。结果:在膝关节屈曲/伸直的分布中,4组患者膝关节最大屈曲、最小伸直及膝关节屈伸范围比较,差异有统计学意义(P<0.05);在膝关节内旋/外旋的分布中,4组患者膝关节内旋及膝关节旋转范围比较,差异有统计学意义(P<0.05);在膝关节内翻/外翻的分布中,4组患者膝关节外翻及膝关节翻转范围比较,差异有统计学意义(P<0.05);临床分期进展与膝关节伸直、外旋、内外翻及翻转活动范围呈正相关(P<0.05);与膝关节屈曲、内旋及屈伸、旋转活动范围呈现负相关(P<0.05);膝关节内旋、外旋角度可以作为半月板损伤临床分期的独立影响因素(P=0.006,0.019<0.05)。结论:半月板损伤患者膝关节运动发生了明显变化,且不同临床分期下,变化有一定差异,步态分析为半月板损伤的运动学分析提供了一个可靠的依据,有助于更好了解关节的运动学指标,同时提供了一个较为可靠的辅助诊疗方案,为后续医学研究提供了新方向。

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.

结构动力学应用中若干基本概念的研究

结构动力特性被广泛应用于结构振动控制、结构可靠性设计和健康监测,由此涉及到一些动力学基本概念的理解问题尚待深入探讨。采用一简支梁横向振动算例以及分别通过模态位移法和模态加速度法对多自由度系统的响应振幅进行分析计算,探讨结构位移响应与第一阶固有频率的关系、结构各阶位移模态的贡献与模态应变能的关系。基于模态正交性,通过分析多自由度振动系统的位移响应,论述了系统共振的必要条件,即在保证系统振动频率(某阶固有频率)等于激励频率的同时,其位移响应还应呈现出相应模态的形态;实现多自由度系统纯模态共振,可用于精确识别结构的模态参数。

多自由度振荡浮子装置波浪爬升特性试验与数值模拟

增加振荡浮子式波浪能发电装置的自由度可以拓宽设备的捕获频带,从而有效地提高其捕获效率,但这也意味着浮子与波浪间的作用过程更加复杂,产生的波浪爬升等非线性现象不容忽视,严重时甚至会发生越浪从而降低浮子装置的使用寿命和效率.本文开展了规则波作用下多自由度浮子迎浪侧波浪爬升特性的物理模型试验,对单自由度运动和多自由度耦合运动的浮子上的波浪爬高进行了比较,以分析在有无动力输出装置(power take-off,PTO)阻尼条件下自由度之间的相互作用效应,并使用数值模拟分析耦合运动浮子周围的流场分布.结果显示,增加自由度可以导致没有PTO阻尼的浮子上的波浪爬高显著降低,有效降低越浪风险.对于有PTO阻尼的多自由度振荡浮子,增加垂荡方向上的PTO阻尼力对波浪爬升有很大影响.三自由度耦合运动浮子能更好地利用波浪能并具有更好的安全性.

基于ANSYS的工业机械臂结构分析与拓扑优化设计

机械臂的刚度和固有频率对其可靠性有重要影响,需对其进行深入研究。文章对某型六自由度工业机械臂进行建模设计,在ANSYS软件采用有限元分析方法对机械臂在力矩最大的工况下进行静态结构分析和模态分析,验证其刚度和固有频率是否符合要求。进一步采用拓扑优化方法对大臂进行优化,然后对大臂进行模型重构,导入到整个机械臂中进行结构分析与模态分析,比较优化前后机械臂的性能差异,验证了改良后机械臂的可靠性,实现轻量化目标,为后续生产提供参考依据。

多自由度四臂动物离心机设计与研究

针对当前动物离心机的局限性,设计了一种多自由度四臂动物离心机,用于航空航天医学实验。利用运动学对动物离心机进行运动分析;采用SolidWorks软件对动物离心机进行了建模;为提高动物离心机的结构稳定性,建立了有限元模型,对静止支撑结构进行了模态分析;利用动力学分析确定了动物离心机的驱动功率,并通过运行调试,验证了动物离心机工作稳定性。研究结果表明,多自由度四臂动物离心机确保了可靠性和安全性,满足实验要求,验证了设计方案的可行性。