Complex modes and traveling waves in axially moving Timoshenko beams

Complex modes and traveling waves in axially moving Timoshenko beams are studied. Due to the axially moving velocity, complex modes emerge instead of real value modes. Correspondingly, traveling waves are present for the axially moving material while standing waves dominate in the traditional static structures. The analytical results obtained in this study are verified with a numerical differential quadrature method.

A UNIVERSAL MATRIX PERTURBATION TECHNIQUE FOR COMPLEX MODES

A universal matrix perturbation technique for complex modes is presented. This technique is applicable to all the three cases of complex eigenvalues: distinct, repeated and closely spaced eigenvalues. The lower order perturbation formulas are obtained hy performing two complex eigensubspace condensations, and the higher order perturbation formulas are derived hy a successive approximation process. Three illustrative examples are given to verify the proposed method and satisfactory results are observed.

Complex Mode Frequency Iteration Method for Flutter Analysis of 2-DOF Systems

For a vibration system with 2 DOF of bend and torsion, its critical flutter wind speed can be calculated by using complex mode frequency iteration (CMFI) method based on MatLab 5.2, the results of which are in agree with those acquired by wind tunnel test. Not only critical flutter wind speed, but also vibration characteristic of a system under different wind speeds can be determined. CMFI method is suitable for both of separated flow torsional flutter and classic coupling flutter analysis, which is presented by flutter analysis of an ideal thin plate and a bluff bridge deck. Furthermore, it is proved through the investigation of the relationship between flutter derivatives and its critical flutter wind speed that coupling aerodynamic derivatives are necessary for classic coupling flutter to occur.]

Employing incomplete complex modes for model updating and damage detection of damped structures

In the study of finite element model updating or damage detection,most papers are devoted to undamped systems.Thus,their objective has been exclusively restricted to the correction of the mass and stiffness matrices.In contrast,this paper performs the model updating and damage detection for damped structures.A theoretical contribution of this paper is to extend the cross-model cross-mode(CMCM) method to simultaneously update the mass,damping and stiffness matrices of a finite element model when only few spatially incomplete,complex-valued modes are available.Numerical studies are conducted for a 30-DOF(degree-of-freedom) cantilever beam with multiple damaged elements,as the measured modes are synthesized from finite element models.The numerical results reveal that applying the CMCM method,together with an iterative Guyan reduction scheme,can yield good damage detection in general.When the measured modes utilized in the CMCM method are corrupted with irregular errors,assessing damage at the location that possesses larger modal strain energy is less sensitive to the corrupted modes.

Complex-mode Galerkin approach in transverse vibration of an axially accelerating viscoelastic string

Under the consideration of harmonic fluctuations of initial tension and axially velocity, a nonlinear governing equation for transverse vibration of an axially accelerating string is set up by using the equation of motion for a 3-dimensional deformable body with initial stresses. The Kelvin model is used to describe viscoelastic behaviors of the material. The basis function of the complex-mode Galerkin method for axially accelerating nonlinear strings is constructed by using the modal function of linear moving strings with constant axially transport velocity. By the constructed basis functions, the application of the complex-mode Galerkin method in nonlinear vibration analysis of an axially accelerating viscoelastic string is investigated. Numerical results show that the convergence velocity of the complex-mode Galerkin method is higher than that of the real-mode Galerkin method for a variable coefficient gyroscopic system.

Efficient fast mode decision using mode complexity for multi-view video coding

The variable block-size motion estimation(ME) and disparity estimation(DE) are adopted in multi-view video coding(MVC) to achieve high coding efficiency. However, much higher computational complexity is also introduced in coding system, which hinders practical application of MVC. An efficient fast mode decision method using mode complexity is proposed to reduce the computational complexity. In the proposed method, mode complexity is firstly computed by using the spatial, temporal and inter-view correlation between the current macroblock(MB) and its neighboring MBs. Based on the observation that direct mode is highly possible to be the optimal mode, mode complexity is always checked in advance whether it is below a predefined threshold for providing an efficient early termination opportunity. If this early termination condition is not met, three mode types for the MBs are classified according to the value of mode complexity, i.e., simple mode, medium mode and complex mode, to speed up the encoding process by reducing the number of the variable block modes required to be checked. Furthermore, for simple and medium mode region, the rate distortion(RD) cost of mode 16×16 in the temporal prediction direction is compared with that of the disparity prediction direction, to determine in advance whether the optimal prediction direction is in the temporal prediction direction or not, for skipping unnecessary disparity estimation. Experimental results show that the proposed method is able to significantly reduce the computational load by 78.79% and the total bit rate by 0.07% on average, while only incurring a negligible loss of PSNR(about 0.04 d B on average), compared with the full mode decision(FMD) in the reference software of MVC.

New Eigenmodes of Propagation in Quadratic Graded Index Media and Complex Fractional Fourier Transform

By introducing a convenient complex form of the α-th 2-dimensional fractional Fourier transform (CFFT) operation we find that it possesses new eigenmodes which are two-mode Hermite polynomials. We prove the eigenvalues of propagation in quadratic graded-index medium over a definite distance are the same as the eigenvalues of the α-th CFFT, which means that our definition of the α-th CFFT is physically meaningful.

COMPLEX NUMBER MODE APPROACH FOR REDUCING VIBRATION OF STRUCTURAL FLEXIBLE REDUNDANT ROBOT MANIPULATORS

A complex number mode analysis approach is proposed for vibration reducing of structural flexible redundant manipulators by utilizing self motion. In the proposed approach, the self motion is evaluated to nullify the modal exciting force of flexural motion, and the approach can be freely used when the degree of freedom of flexural motion is much greater than the available degree of reundancy. The availability and effectiveness of the proposed approach are demonstrated through numerical simulation with a four link spatial robotic manipulator possessing an end flexible link.

Exponential synchronization of complex dynamical networks with Markovian jumping parameters using sampled-data and mode-dependent probabilistic time-varying delays

In this paper, the problem of exponential synchronization of complex dynamical networks with Markovian jumping parameters using sampled-data and Mode-dependent probabilistic time-varying coupling delays is investigated. The sam- pling period is assumed to be time-varying and bounded. The information of probability distribution of the time-varying delay is considered and transformed into parameter matrices of the transferred complex dynamical network model. Based on the condition, the design method of the desired sampled data controller is proposed. By constructing a new Lyapunov functional with triple integral terms, delay-distribution-dependent exponential synchronization criteria are derived in the form of linear matrix inequalities. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods.

SYNCHRONIZATION OF MASTER-SLAVE MARKOVIAN SWITCHING COMPLEX DYNAMICAL NETWORKS WITH TIME-VARYING DELAYS IN NONLINEAR FUNCTION VIA SLIDING MODE CONTROL

In this article, a synchronization problem for master-slave Markovian switching complex dynamical networks with time-varying delays in nonlinear function via sliding mode control is investigated. On the basis of the appropriate Lyapunov-Krasovskii functional, introducing some free weighting matrices, new synchronization criteria are derived in terms of linear matrix inequalities （LMIs）. Then, an integral sliding surface is designed to guarantee synchronization of master-slave Markovian switching complex dynamical networks, and the suitable controller is synthesized to ensure that the trajectory of the closed-loop error system can be driven onto the prescribed sliding mode surface. By using Dynkin＇s formula, we established the stochastic stablity of master-slave system. Finally, numerical example is provided to demonstrate the effectiveness of the obtained theoretical results.

“产、学、研、品、用”融合教学模式探索 --以西安工业大学卓越机械工程师班为例

该文针对机械类卓越工程创新人才解决复杂工程问题能力培养的现状,进行机械类卓越工程师班专业课程“产、学、研、品、用”融合协同教学模式探索研究并提出改进措施。从教学理念、教学资源、教学方法和评价机制等几个方面进行改革。构建以“能力导向式培养”和“品商”素养为核心的机械类卓越工程师班专业课程教学模式和考核制度,进而提升卓越工程创新人才的解决复杂工程问题能力和综合素养。

复振型的物理意义——以两自由度陀螺系统为例

在传统振动力学教学中,复振型主要用于振动方程解耦的数学操作,对其物理意义阐述不清楚。本文从简单的旋转框架下两自由度线性系统入手,阐述了模态振动中复振型表征各振子位移与速度组合的比例关系,而非实振型所表征的位移比例关系。本文明确了复振型振动的非同时性及伴随性,引导振动力学的初学者深刻理解复振型的直观物理意义。

A Cu(II) Complex with IM-MeImz-κ~2 N,O Mode in [Cu(IM-MeImz)_2]·(SCN)_2: Synthesis, Crystal Structure and Magnetic Properties

A new copper（Ⅱ） compound with imino nitroxide radicals [Cu（IM-MeImz）2].（SCN）2 （IM-meImz =2-（5-methylimidazol-4-yl）-4,4,5,5-tetramethyl-2-imidazoline- 1-oxyl） has been synthesized and characterized structurally and magnetically. It crystallizes in monoclinic, space group P21/c with a = 9.3604（7）, b = 10.3012（7）, c = 16.6684（12）A, β = 105.0290（10）^o, V = 1552.25（19）A3, C24H34CUN10O2S2, Mr = 622.27, Z = 2, Dc = 1.331 g/cm^3,μ（MoKα） = 0.876 mm^-1, F（000） = 650, the final R = 0.0374 and wR = 0.1079. X-ray analysis demonstrates that the IM-MeImz ligand is coordinated to the copper（Ⅱ） ion as an unusual didentate chelate with a k-2 N（MeImz）,O（IM） mode in the complex. The square-planar coordination sites at Cu（Ⅱ） are occupied by two 0 and two N atoms from the imino nitroxide radicals. The complex molecules are connected as a onedimensional polymer structure by intermolecular interactions. Magnetic measurements show that there are intramolecular antiferromagnetic interactions between the Cu（Ⅱ） ion and radicals.

2022年8月四川盆地持续性极端高温特征及不同模式预报误差分析

本文基于2022年8月四川盆地104站逐时温度、降水数据和1971—2021年历史同期数据,及EC、CMA-GFS、CMA-MESO模式的2 m气温预报等数据,运用统计学相关方法分析了此次极端高温过程的特征及预报误差。结果表明:①2022年8月四川盆地极端高温过程范围大、强度强、持续时间长,有87.5%站最高气温超过该站历史同期极值,且高温最强盛时段较历史同期明显推后。②2022年8月最高气温分布为东高西低,最高气温与历史同期极值差分布则相反,其中最高气温随站点海拔增大而减小,而极值差则随站点海拔先增大再减小。另外,受热岛效应影响,极值差大值站点主要集中在龙泉山脉附近。③高温期间,最高、最低气温平均值高、距平大,且累计降水量和雨日数也明显低于历史同期。④相较而言,EC模式的预报优势主要在盆地低海拔地区。而CMA-MESO模式在盆地周边陡峭地形区域的平均绝对误差则更小。另外,EC模式预报的最高气温峰值出现时间更接近于实况,而CMA-MESO模式预报高温持续日数更接近实况。

基于多尺度结构表征研究直链淀粉-番茄红素复合物的组装方式

为明确直链淀粉-番茄红素复合物(amylose-lycopene complexes,ALCs)的精细结构,揭示其主客体组装方式,分别采用扫描电子显微镜、X射线衍射分析、差示扫描量热分析、傅里叶变换红外光谱及13C固体核磁共振表征其多尺度结构。研究发现:ALCs中淀粉对番茄红素的复合指数为(17.10±0.01)%,说明番茄红素可进入淀粉螺旋空腔形成复合物;ALCs为球形V-型亚微晶的II型复合结构,其T0为(106.72±0.63)℃,结晶度达(65.32±0.22)%;红外光谱中未见960 cm-1处特征吸收,表明主客体间存在复合作用;ALCs的结构组成排序为:双螺旋>无定形态>V-型单螺旋;其中,双螺旋和V-型单螺旋结构占比分别达(55.95±3.25)%和(17.84±0.96)%。结果表明:直链淀粉通过包合和缠绕番茄红素,组装形成热稳定的复合结构。研究阐明了ALCs的组装方式,揭示了其改善番茄红素稳定性的机制,为拓展番茄红素作为功能性色素在食品和药品领域的应用提供理论依据。

改进滑模观测器的电流源逆变器驱动PMSM无位置传感器控制

由于电流源逆变器(CSI)的叠流效应以及前级DC-DC控制的母线电流脉动较大,使得扩展反电动势中含有大量谐波,造成较大的位置误差。针对此问题,该文提出一种改进滑模观测器的电流源逆变器驱动永磁同步电机无传感器控制方法。首先,基于传统滑模观测器,设计复系数滤波器代替传统低通滤波器,实现了对估计反电动势的准确提取,同时也抑制了估计反电动势中的高频抖动和高次谐波。其次,将二阶广义积分器内嵌于锁相环中,用于消除位置误差信号中的低次谐波,提高位置观测准确度。最后,将估算的速度信息反馈回复系数滤波器,实现复系数滤波器的自适应性。实验结果表明,所提方法在不同工况下,能够有效提高估算的转子位置精度,验证了方法的可行性与有效性。

苏北盆地江苏油田CO_(2)驱油技术进展及应用

CCUS(碳捕集、利用与封存)技术对绿色低碳转型、实现“双碳”目标意义重大,而CO_(2)驱油埋存是其重要内容。苏北盆地江苏油田针对复杂断块油藏提高采收率的技术瓶颈开展CO_(2)驱油技术攻关及多种类型矿场试验,形成了以重力稳定驱、驱吐协同等为特点的复杂断块油藏CO_(2)驱油的4种差异化模式,成功开展了花26断块“仿水平井”重力稳定驱等技术先导试验,建成了10×10^(4) t的复杂断块油藏CCUS示范工程。江苏油田累计注入液碳量30.34×10^(4) t,累计增油量9.83×10^(4) t,实现了较好的增产效果及经济效益。技术研究及试验可为其他复杂断块油藏的CO_(2)驱开发提供参考借鉴。

集中阻尼弦初值问题的解析复模态叠加法

实际工程中常用黏滞阻尼器对斜拉索进行减振,然而基于阻尼拉索系统模态叠加法求解系统动力时程问题的研究还很少。研究设置集中黏性阻尼器的拉索在任意给定初始条件下的自由振动问题,提出采用解析复模态叠加法进行求解的思路。给出系统复模态正交性条件,并提出利用正交性条件确定复模态叠加系数的思路。通过三个数值算例,验证了方法的正确性和高效性。该文计算结果表明,对于集中阻尼弦初值问题,一般只需利用系统的前数阶模态进行叠加即可得到理想的结果。

全程护理在复杂牙列缺损患者种植联合正畸护理中的应用效果分析

目的:分析全程护理在复杂牙列缺损患者种植联合正畸护理中的应用效果。方法:选取2020年3月—2021年6月广西医科大学附属口腔医院收治的复杂牙列缺损患者82例作为研究对象,采用随机数字表法分为观察组与对照组,各41例。对照组实施常规护理,观察组在对照组基础上实施全程护理。比较两组护理效果。结果:观察组治疗依从率高于对照组,差异有统计学意义(P=0.034)。观察组不良反应总发生率低于对照组,差异有统计学意义(P=0.043)。观察组护理满意度高于对照组,差异有统计学意义(P=0.043)。结论:全程护理模式联合系统化健康教育应用于复杂牙列缺损患者种植联合正畸治疗中的效果较好,能够提高治疗依从性,降低不良反应发生率,患者满意度高。

不同模式配置对青贮用米豆复合体产量及玉米抗倒伏性能的影响研究

为探究青贮型米豆复合种植下模式配置对复合体产量及玉米抗倒伏性能的影响,以青贮型玉米品种金岭10和大豆品种中黄38为供试材料,以玉米单作为对照(CK),设置2行玉米+2行大豆(2+2)、2行玉米+3行大豆(2+3)、4行玉米+4行大豆(4+4)等3个种植模式,于乳熟期测定各处理玉米农艺性状,第3、4、5节茎秆穿刺强度、横折强度及产量。结果表明:4+4株高显著低于其他处理,4+4穗高系数高于2+2和2+3,与CK差异不显著;第3、4、5节茎秆穿刺强度性状4+4显著高于其他处理,2+2表现最弱。2+2与4+4间鲜质量差异不显著,二者均显著高于CK,2+2和4+4模式干质量显著高于CK。说明4+4带型复合体产量较高,植株群体抗倒伏能力更强。