The wave and vibratory power transmission in a finite L-shaped Mindlin plate with two simply supported opposite edges

In this paper,wave and vibratory power transmission in a finite L-shaped Mindlin plate with two simply supported opposite edges are investigated using the wave approach.The dynamic responses,active and reactive power flow in the finite plate are calculated by the Mindlin plate theory （MPT） and classic plate theory （CPT）.To satisfy the boundary conditions and continuous conditions at the coupled junction of the finite L-shaped plate,the near-field and far-field waves are entirely contained in the wave approach.The in-plane longitudinal and shear waves are also considered.The results indicate that the vibratory power flow based on the MPT is different from that based on the CPT not only at high frequencies but also at low and medium frequencies.The influence of the plate thickness on the vibrational power flow is investigated.From the results it is seen that the shear and rotary inertia correction of the MPT can influence the active and reactive power at the junction of the L-shaped plate not only at high frequencies but also at low and medium frequencies.Furthermore,the effects of structural damping on the active and reactive power flow at the junction are also analyzed.

Joint 2D DOA and Doppler frequency estimation for L-shaped array using compressive sensing

A joint two-dimensional(2D)direction-of-arrival(DOA)and radial Doppler frequency estimation method for the L-shaped array is proposed in this paper based on the compressive sensing(CS)framework.Revised from the conventional CS-based methods where the joint spatial-temporal parameters are characterized in one large scale matrix,three smaller scale matrices with independent azimuth,elevation and Doppler frequency are introduced adopting a separable observation model.Afterwards,the estimation is achieved by L1-norm minimization and the Bayesian CS algorithm.In addition,under the L-shaped array topology,the azimuth and elevation are separated yet coupled to the same radial Doppler frequency.Hence,the pair matching problem is solved with the aid of the radial Doppler frequency.Finally,numerical simulations corroborate the feasibility and validity of the proposed algorithm.

Laboratory test on the combined cooling effect of L-shaped thermosyphons and thermal insulation on high-grade roadway construction in permafrost regions

With the completion of the Qinghai-Tibetan Railway,economic development of related areas has been greatly accelerated.This,in return,calls for building or upgrading more roadways,especially high-grade roadways.In cold regions,the thawing of permafrost can induce settlement damage of and even failure to railway (or roadway) embankments.Thermosyphons (self-powered refrigera-tion devices that are used to help keep the permafrost cool) have proved effective in mitigating thaw settlement by maintaining the thermal stability of the embankments.However,for high-grade roadway embankments of great width,stabilizing or cooling ef-fects of traditional geotechnological measures may be limited.To enhance the cooling effect of thermosyphons,an L-shaped thermosyphon was designed.A laboratory test was carried out to study the combined cooling effect of the L-shaped thermosyphon and thermal insulation applying to roadbed construction.The angle between the evaporator and condenser sections of the L-shaped thermosyphon is 134 degrees,and the L-shaped thermosyphon was inserted into the soil at an angle of 5 degrees with the road surface.The tested results show that the L-shaped thermosyphon is effective in removing heat from a roadway in winter.When the ambient air temperature is lower than the soil temperature,the thermosyphon is active and extracts the heat in the soil around it.When the ambient air temperature is higher than the soil temperature,the thermosyphon is inactive,and no heat is in-jected into the soil through the L-shaped thermosyphon.Compared to embankments with straight thermosyphons,the inner parts of the embankments with L-shaped thermosyphons were significantly cooled.It is hoped that the present study would be useful to the application of L-shaped thermosyphons in the construction of high-grade roadways in cold regions.

Test on mechanical behavior of SRC L-shaped columns under combined torsion and bending moment

Investigations of the seismic behavior of steel reinforced concrete L-shaped columns under constant axial compression and cycled bending-shear-torsion load were performed.Six specimens,which considered two parameters,i.e.,the moment ratio of torsion to bending(γ)and the aspect ratio(column length-to-depth ratio,φ),were prepared for the experiment.In this study,the failure process,torsion-displacement hysteresis curves,and flexure-displacement hysteresis curves were obtained.The failure characteristics,mechanical behavior of specimens such as the failure patterns,hysteresis curves,rigidity degradation,ductility and energy dissipation,are analyzed.The experimental research indicated that the major failures of the specimens were bending failure,bending-shear failure and bending-torsion failure as the moment ratio of torsion to bending(γ)increased.The torsion-displacement hysteresis curves were pinched in the middle,formed a slip platform,and the phenomenon of“load drop”occurred after the peak load.The bending-displacement hysteresis curves were plump,which showed that bending capacity of the specimen was better than its torsion capacity.Additionally,the energy dissipation of the specimen was dominated by torsion in the early stage and ultimately governed by the bending moment in the later phase.Test results also indicated that the displacement ductility coefficient and interstory rotation angle of the failure point were less than 3.0 and 1/50,respectively,which means the test specimen performance does not meet the requirement of the Chinese Code for Seismic Design of Buildings(GB 50011-2014)in this respect.

Research for the orientation detection system using L-shape reticle

The basic scheme of the orientation detection system using L-shape reticle is introduced. The dimension of the patterns on the reticle of the system in practical applications is designed and an analysis of the principle of abstracting the orientation information of the target and the effects and formation method of self-adapting tracking gate is presented. The research result shows that the orientation detection system using L-shape reticle has a good effect on space-filtering, the signals that the orientation detection system sends out are easy to be processed by computer, its self-adapting tracking gate has a strong anti-interference ability, and the whole system＇s searching and tracking performances are quite high.

Effects of Lay-up Types of Out-of-autoclave Prepregs on Preparation Quality of L-shape Composite Laminates

Effects of layer quantities and stacking sequences on L-shape composite manufacturing qualities in using OOA(out-of-autoclave)prepregs were studied.The mechanisms of air evacuated in 5 kinds of lay-ups were revealed by image analysis of cut surfaces and thickness measurements.Results show that air in OOA prepregs is evacuated in two ways.Most of the air is forced out of layers directly by vacuum before air accesses in prepregs closed.Very little entrapped air moves perpendicularly to outer layers under hydrostatic resin pressure.When a laminate contains less than 16 layers,voids can hardly be found in layers.When a laminate contains more than 16 layers,voids cannot be expelled completely during the window of vertical movement.As for stacking sequences,the synergetic effect of slip function and nest function determines the thickness and voids content of laminates.Results show that the average of single layer thickness of unidirectional layers is the lowest,and the average of single layer thickness of quasi-isotropic layers is the highest.The voids content of quasi isotropic is the highest,which is consistent with the theoretical analysis.

Multicut L-Shaped Algorithm for Stochastic Convex Programming with Fuzzy Probability Distribution

Two-stage problem of stochastic convex programming with fuzzy probability distribution is studied in this paper. Multicut L-shaped algorithm is proposed to solve the problem based on the fuzzy cutting and the minimax rule. Theorem of the convergence for the algorithm is proved. Finally, a numerical example about two-stage convex recourse problem shows the essential character and the efficiency.

Axial Compression Behavior and Analytical Method of L-Shaped Column Composed of Concrete-Filled Square Steel Tubes

Based on the characteristics of an L-shaped column composed of concrete-filled square steel tubes, the axial compression experiment and nonlinear finite element analysis were carried out to study the mechanical property of the L-shaped column. The load-displacement curve for the L-shaped column, the deflection and load-strain curves for the mono columns were obtained by the axial compression experiment. The results show that the L-shaped column exhibits a flexural-torsional buckling failure mode. The numerical simulation by the finite element analysis shows that the bearing capacity and failure mode are in accordance with those of the axial compression experiment and the feasi- bility of the finite element analysis is proved. For the calculation of the bearing capacity of the L-shaped column com- posed of concrete-filled square steel tubes, an analytical method is proposed based on the theory of the elastic stability and spatial truss model. The results of the analytical method are in good agreement with those of the axial compression experiment and the finite element analysis.

Research on vibration characteristics of L-shaped plate using a mobility power flow approach

L-shaped plates have become an important focuses in structural vibration research. To determine their vibration characteristics, this paper applied a mobility power flow method. Firstly, the L-shaped plate was divided into two substructures to simplify analysis. The coupled bending moment was then deduced by applying a continuous vibration property on the common edge. Next, the response on any point of the plate and the input and transmitted power flow formulas were calculated. Numerical simulations showed the distribution of the coupled bending moment and the response of the whole structure. The validity of this method was verified by the SEA approach.

Bandwidth Numerical Analysis of Triangular Patch Antenna Fed by L-Shaped Probe

A single layer triangular patch antenna fed by an L-shaped probe was investigated numerically by using FDTD (Finite Difference Time Domain) method. It achieves >40% impedance bandwidth (VSWR<2) and stable radiation pattern across the passband. The triangular patch antenna with two orientations of L-shaped probe has almost the same characteristics, such as impedance bandwidth and radiation pattern. The bandwidth vs feeding position was also investigated, the broadband characteristic can be observed when the feeding position is only in a small segment along the centerline.

时变交通拥挤和需求随机的移动设施运营优化

为了优化移动设施(Mobile Facility,MF)的运营,在充分考虑时变交通状况和用户需求随机性的基础上,构建了一个两阶段随机规划模型,以期为决策者提供有力的工具。在第一阶段,模型针对MF的数量、时刻表和路径进行决策;第二阶段则聚焦于用户需求的分配和未满足服务量的确定。在求解此模型的过程中,本研究结合了时间依赖最短路径算法与L-shaped算法。在解决MF的移动路径和用户到达服务点的时间依赖最短路径问题时,将时变路段行驶速度离散化为分段函数,使得路段行驶时间成为连续分段线性函数,并且满足网络先进先出的原则,从而可以修改现有最短路径算法高效求解时间依赖最短路径。在L-shaped算法中,视一阶段模型为主问题,二阶段模型为子问题。首先通过求解主问题获得一阶段的决策变量,然后利用这些变量求解子问题,为主问题生成最优割。通过主、子问题的迭代交互,实现了对模型全局最优解的收敛,同时,通过加入有效不等式,使得算法能够快速收敛。在上海市嘉定区COVID-19核酸检测服务的MF实例中,对所提出的模型和算法进行了实证研究。结果表明:多割L-shaped算法结合有效不等式显著提升求解效率;同时,随着用户需求分布情况数量的增加,完美信息期望值和随机解价值均显著增加,这强调了在决策过程中获取准确信息和考虑时变交通状况与需求随机性的重要性。

跗骨窦小切口与经外侧“L”形切口术对跟骨骨折患者的疗效

目的 比较跗骨窦小切口与经外侧“L”形切口术治疗跟骨骨折的疗效及对足功能恢复情况的影响。方法 研究对象选取2020年10月至2022年10月收治的跟骨骨折患者88例,按照手术方法分为对照组43例,研究组45例,对照组采用经外侧“L”形切口术,研究组采用跗骨窦小切口手术。检测比较2组手术情况及并发症发生情况、足功能、跟骨解剖结构、骨代谢、炎性因子、应激反应指标水平。结果 与对照组比较,研究组术后引流量、术中出血量较少,手术、住院及骨折愈合时间较短,并发症发生率较低(P<0.05)。与术前比较,术后3个月2组AOFAS评分、Bohler角、Gissane角、跟骨长度、跟骨高度、P1NP、骨特异性碱性磷酸酶(BALP)水平升高,且研究组高于对照组,抗酒石酸酸性磷酸酶(TRAP)、环磷酰胺(CTX)水平降低,且研究组低于对照组(P<0.05)。与术前比较,术后3 d 2组CRP、IL-6、MDA水平升高,但研究组低于对照组,SOD水平降低,但研究组高于对照组(P<0.05)。结论 跗骨窦小切口术治疗跟骨骨折效果理想,可减少手术创伤,减轻炎症及应激反应,且可促进术后足功能、骨代谢恢复,并发症少。

L型阵水下目标方位和距离联合最大似然估计

空间目标定位是阵列信号处理领域中的研究热点,广泛应用于雷达、声纳、通信、射电天文、医学诊断、地震遥感等众多领域。传统的水下声源定位仅获取目标声源的深度和距离信息,却无法估计目标的方位信息。针对这一问题,在充分考虑水下声传播模型的基础上,利用L型阵列固有的结构特征,将最大似然估计技术应用到水下目标定位,提出一种基于L型水听器阵列的水下目标方位与距离联合最大似然估计算法。研究表明:最大似然估计法可有效突破传统波束形成分辨力“瑞利限”的限制,提高水下目标定位的分辨能力和精度。计算机仿真分析显示,在单目标和相干双目标的场景中,文中所提出的方法均具有更为尖锐的谱峰及更低的旁瓣水平,可对水下目标进行有效的方位角和距离联合估计。

前外侧入路联合胫骨远端L形钢板内固定治疗胫腓骨远端骨折的临床研究

目的探讨前外侧入路联合胫骨远端L形钢板内固定治疗胫腓骨远端骨折的临床疗效。方法选取2021年1月至2022年12月抚州市第一人民医院收治的60例胫腓骨远端骨折患者作为研究对象,根据治疗方案的不同分为对照组与研究组,每组30例。对照组采用传统术式入路治疗,研究组采用前外侧入路联合胫骨远端L形钢板内固定治疗。比较两组踝关节功能、术后引流量、术中出血量、手术时间、并发症发生情况。结果研究组踝关节功能恢复优良率高于对照组,差异有统计学意义(P<0.05)。两组术中出血量、手术时间、术后引流量比较差异无统计学意义。研究组并发症发生率低于对照组,差异有统计学意义(P<0.05)。结论前外侧入路联合胫骨远端L形钢板内固定治疗胫腓骨远端骨折疗效显著,可降低患者并发症发生风险,有利于恢复踝关节功能,明显提升患者恢复效果,临床应用价值较高。

计及层内和层间的L形层合板失效的数值研究

民用复合材料飞机中,L形层合板是最常见也是最关键的元件,研究其失效机制对飞机结构安全至关重要。层内基体裂纹扩展和层间分层失效是L形复合材料层合板最关键的两种失效机制,这两种失效机制可能同时发生并且存在耦合作用。本文提出两套数值分析模型,用于描述L形复合材料层合板的失效过程。模型Ⅰ在L形板的弧形区域层间布置零厚度内聚力单元用于模拟分层,同时在90°层内铺设径向零厚度内聚力单元用于模拟基体裂纹。模型Ⅱ采用XFEM方法模拟基体裂纹的萌生和扩展,采用内聚力行为方法模拟分层。通过与试验进行对比,验证了本文方法的可行性。同时,对两套模型在失效模式和关键载荷预测等方面的能力和优缺点进行评价。结果表明,两套模型都能描述基体裂纹和分层的扩展及二者的耦合作用。模拟分析所得到的失效模式与试验结果一致,同时预测的初始失效载荷和最大失效载荷也与试验结果吻合良好。

ACTIVE VIBRATION CONTROL OF FINITE L-SHAPED BEAM WITH TRAVELLING WAVE APPROACH

In this paper, the disturbance propagation and active vibration control of a finite L-shaped beam axe studied. The dynamic response of the structure is obtained by the travelling wave approach. The active vibration suppression of the finite L-shaped beam is performed based on the structural vibration power flow. In the numerical calculation, the influences of the near field effect of the error sensor and the small error of the control forces on the control results are all considered. The simulation results indicate that the structural vibration response in the medium and high frequency regions can be effectively computed by the travelling wave method. The effect of the active control by controlling the power flow is much better than that by controlling the acceleration in some cases. And the control results by the power flow method are slightly affected by the locations of the error sensor and the small error of the control forces.

矩形钢管混凝土束剪力墙风机塔筒L型连接节点力学性能研究

针对目前风机塔筒结构发展受限于结构高度与安装效率的问题,本文提出了一种L型螺栓连接的矩形钢管混凝土束剪力墙风机塔筒,并且针对螺栓关键连接区域进行了力学性能研究。最后通过有限元建模的方法对塔筒单片矩形钢管混凝土束剪力墙在面外以及面内荷载下的性能表现进行了分析,并且给出了相关设计建议。研究结果表明塔筒螺栓连接区域在单轴拉伸下的破坏模式为连接板弯曲变形以及螺栓拉断。塔筒单片剪力墙的面内初始刚度及承载力要显著高于面外。综合考虑剪力墙力学性能的提升效率以及剪力墙各部件的应力分布状态,建议当螺栓直径为20 mm时,连接板厚度不应大于螺栓直径;建议当连接板厚取20 mm时,螺栓直径取其1.2倍。

L型加筋土挡墙地震动力响应理论分析

将L型挡墙与加筋土2种柔性支挡结构相结合,充分利用其良好的抗震性能,可用于地震多发区和高烈度区的支挡工程中。研究地震荷载作用下L型加筋土挡墙的破坏机制与动力响应问题。根据第二、第三滑裂面产生条件,提出踵板长度临界系数λ_(cr),以界定长踵板式和短踵板式2种破坏模式。假设填土滑裂面为直线,应用极限分析上限定理,采用Mohr-Coulomb破坏准则,分别建立2种破坏模式下L型加筋土挡墙临界状态方程,推导其地震屈服加速度系数。根据极值原理给出最优解,得到临界屈服加速度系数及其对应的填土滑裂面倾角,分析破坏模式与临界屈服加速度系数受几何参数、物理力学参数和加筋作用的影响。通过算例分析可知:加筋作用可有效地提高L型挡墙的抗震能力,改变其破坏模式;当设计筋材拉伸强度较大时,L型加筋土挡墙只发生长踵板式破坏。

Experimental study on broadband bistable energy harvester with L-shaped piezoelectric cantilever beam

This paper presents an experimental study of the broadband energy harvesting and dynamic responses of an L-shaped piezoelectric cantilever beam.Experimental results show that the L-shaped piezoelectric beam generates two optimal voltage peaks when the horizontal beam size is similar to the vertical beam size.Several optimized L-shaped piezoelectric cantilever beam structures are proposed.Power generation using the inverted bistable L-shaped beam is better.It is observed experimentally that the inverted bistable L-shaped beam structure shows obvious bistable characteristics and hard spring characteristics.Furthermore,the corresponding relationship between the bistable phase portrait and the potential energy curve is found in the experiment.This is the first time that a phase portrait for stiffness hardening of an L-shaped beam has been found experimentally.These results can be applied to analysis of new piezoelectric power generation structures.