THE PROBLEM OF AN EXTERNAL CIRCULAR CRACK UNDER ASYMMETRIC LOADINGS

Using the boundary integral equation method, the problem of an external circular crack in a three_dimensional infinite elastic body under asymmetric loadings is investigated. The two_dimensional singular boundary integral equations of the problem were reduced to a system of Abel integral equations by means of Fourier series and hypergeometric functions. The exact solutions of stress intensity factors are obtained for the problem of an external circular crack under asymmetric loadings, which are even more universal than the results obtained by the use of Hankel transform method. The results demonstrate that the boundary integral equation method has great potential as a new analytic method.

Torsionally coupled dynamic performance analysis of asymmetric offshore platforms subjected to wave and earthquake loadings

The dynamic equations of motion of asymmetric offshore platforms under three different environmental conditions:seismic action,wave action and their combination are established in this paper. In establishing these motion equations,three typical eccentricity types including mass eccentricity,rigidity eccentricity and their combination were considered,as are eccentricities that occur un-idirectionally and bi-directionally. The effects of the eccentricity type,the dynamic characteristics and the environmental conditions on the torsional coupling response of platforms are investigated and compared. An effort has also been made to analyze the inffluence of accidental eccentricity on asymmetric platforms with different eccentricity in two horizontally orthogonal directions. The results are given in terms of non-dimensional parameters,accounting for the uncoupled torsional to lateral frequency ratio. Numerical results reveal that the eccentricity type has a great inffluence on the torsionally coupled response under different environmental conditions. Therefore,it is necessary to consider the combination of earthquake and wave action in the seismic response analysis of some offshore platforms.

THE PROBLEM OF AN EXTERNAL CIRCULAR CRACK UNDER ASYMMETRIC LOADINGS

Using the boundary integral equation method, the problem of an external circular crack in a three-dimensional infinite elastic body under asymmetric loadings is investigated. The two-dimensional singular boundary integral equations of the problem were reduced to a system of Abel integral equations by means of Fourier series and hypergeometric functions. The exact solutions of stress intensity factors ore obtained for the problem of an external circular crack under asymmetric loadings, which are even more universal than the results obtained by the use of Hankel transform method. The results demonstrate that the boundary integral equation method has great potential as a new analytic method.

Switching of Capacitors in an Asymmetric Induction Motor with Single-Phase Power,Triggering Several Applied Loads

xThis study has as its objective to collaborate with the expansion in the market of electric energy in rural areas,offering as such an innovative prospect to the solution of associated problems through use of the asymmetric three-phase induction motor,supplied by a single-phase source.In this system,capacitor switching is applied during operation,while theoretical and practical results are presented for the application of this switching in a three-phase asymmetric induction motor of 20 hp.

Three-Phase Unbalance Prediction of Electric Power Based on Hierarchical Temporal Memory

The difference in electricity and power usage time leads to an unbalanced current among the three phases in the power grid.The three-phase unbalanced is closely related to power planning and load distribution.When the unbalance occurs,the safe operation of the electrical equipment will be seriously jeopardized.This paper proposes a Hierarchical Temporal Memory(HTM)-based three-phase unbalance prediction model consisted by the encoder for binary coding,the spatial pooler for frequency pattern learning,the temporal pooler for pattern sequence learning,and the sparse distributed representations classifier for unbalance prediction.Following the feasibility of spatial-temporal streaming data analysis,we adopted this brain-liked neural network to a real-time prediction for power load.We applied the model in five cities(Tangshan,Langfang,Qinhuangdao,Chengde,Zhangjiakou)of north China.We experimented with the proposed model and Long Short-term Memory(LSTM)model and analyzed the predict results and real currents.The results show that the predictions conform to the reality;compared to LSTM,the HTM-based prediction model shows enhanced accuracy and stability.The prediction model could serve for the overload warning and the load planning to provide high-quality power grid operation.

Three-dimensional consolidation deformation analysis of porous layered soft soils considering asymmetric effects

Long-term settlements for underground structures, such as tunnels and pipelines, are generally observed after the completion of construction in soft clay. The soil consolidation characteristic has great influences on the long-term deformation for underground structures. A three-dimensional consolidation analysis method under the asymmetric loads is developed for porous layered soil based on Biot's classical theory. Time-displacement effects can be fully considered in this work and the analytical solutions are obtained by the state space approach in the Cartesian coordinate. The Laplace and double Fourier integral transform are applied to the state variables in order to reduce the partial differential equations into algebraic differential equations and easily obtain the state space solution. Starting from the governing equations of saturated porous soil, the basic relationship of state space variables is established between the ground surface and the arbitrary depth in the integral transform domain. Based on the continuity conditions and boundary conditions of the multi-layered pore soil model, the multi-layered pore half-space solutions are obtained by means of the transfer matrix method and the inverse integral transforms. The accuracy of proposed method is demonstrated with existing classical solutions. The results indicate that the porous homogenous soils as well as the porous non-homogenous layered soils can be considered in this proposed method. When the consolidation time factor is 0.01, the value of immediate consolidation settlement coefficient calculated by the weighted homogenous solution is 27.4% bigger than the one calculated by the non-homogeneity solution. When the consolidation time factor is 0.05, the value of excess pore water pressure for the weighted homogenous solution is 27.2% bigger than the one for the non-homogeneity solution. It is shown that the material non-homogeneity has a great influence on the long-term settlements and the dissipation process of excess pore water pressure.

The Control Technology Research of the Z-source Three-phase Four-bridge Arm Inverter

Z-source inverter can boost the voltage of the DC-side, allow the two switches of the same bridge arm conducting at the same time and it has some other advantages. The zero-sequence current flows through the fourth leg of the three-phase four-leg inverter so the three-phase four-leg inverter can work with unbalanced load. This paper presents a Z-source three-phase four-leg inverter which combines a Z-source network with three-phase four-leg inverter. The circuit uses simple SPWM modulation technique and the fourth bridge arm uses fully compensated control method. The inverter can maintain a symmetrical output voltage when the proposed scheme under the unbalanced load.

Structural Design and Dynamic Characteristics of Overloaded Horizontal Servo Cylinder for Resisting Dynamic Partial Load

When an output curve force is applied to a horizontal servo cylinder with a heavy load, the piston rod bears a dynamic partial load based on the installation and load characteristics, which significantly a ects the frequency response and control accuracy of the servo cylinder. Based on this partial load, increased friction can lead to cylinder bore scu ng, leakage, lack of output power, or even system failure. In this paper, a novel asymmetric static-pressure support structure is proposed based on the principle of hydrostatic support. The radial component force of a dynamic partial load is balanced by cooperation between the support oil cushion of the variable hydraulic pressure support structure, oil cushion of the supportive force, and the damper. Adaptive control of the servo cylinder piston rod, guide sleeve, and piston, as well as the cylinder oil film friction between lubricated surfaces is achieved. In this paper, theoretical design and analysis of the traditional hydrostatic bearing structure and novel structure are presented. A hydraulic dynamic shear scissor is used as a research target to derive a structural dynamic model. Comparative simulations are performed using Matlab Simulink. Additionally, flow field analysis of the novel structure is performed, which verifies the rationality and feasibility of the proposed structure and system.

Non-uniqueness and stability of two-family fiber-reinforced incompressible hyper-elastic sheet under equibiaxial loading

The problems on the non-uniqueness and stability of a two-family fiber- reinforced anisotropic incompressible hyper-elastic square sheet under equibiaxial tensile dead loading are examined within the framework of finite elasticity. For a two-family fiber-reinforced square sheet, which is in-plane symmetric and subjected to the in-plane symmetric tension in dead loading on the edges, three symmetrically deformed configu- rations and six asymmetrically deformed configurations are possible for any values of the loading. Moreover, another four bifurcated asymmetrically deformed configurations are possible for the loading beyond a certain criticM value. The stability of all the solutions is discussed in comparison with the energy of the sheet. It is shown that only one of the symmetric solutions is stable when the loading is less than the critical value. However, this symmetric solution will become unstable when the loading is larger than the critical value, while one of the four bifurcated asymmetric solutions will be stable.

Research on a New Control Strategy of Three Phase Inverter for Unbalanced Loads

One of the very important functions of three-phase inverter is to maintain the symmetric three-phase output voltage when the three-phase loads are unbalanced. Although the traditional symmetrical component decomposing and superimpose theory can keep the voltage balance through compensating the positive-, negative- and zero-sequence components of the output voltage of inverter, however, this method is time-consuming and not suitable for control. Aiming at high power medium frequency inverter source, a P+Resonant (Proportion and Resonant) controller which ensured a balanced three phase output voltage under unbalanced load is proposed in this paper. The regulator was proved to be applicable to both three-phase three-wire system and three-phase four-wire system and developed two methods of realization. The simulation results verified that this method can suppressed effectively the output voltage distorted caused by the unbalanced load and attained a high quality voltage waveforms.

非对称集中荷载下无腹筋RC梁受剪性能试验研究

非对称集中荷载作用下钢筋混凝土无腹筋简支梁具有两个不同的剪跨比,而两剪跨段受剪承载力与剪力作用之间的相对大小存在不确定性.通过开展6根非对称和4根对称集中荷载作用下钢筋混凝土无腹筋简支梁受剪性能试验研究,获取了破坏形态、荷载-跨中位移曲线和纵向受拉钢筋应变,并分析了《混凝土结构设计规范》(GB 50010—2010)公式、修正压力场理论、基于截面应变分析的抗剪模型和Zsutty统计公式的适用性.结果表明,对于小剪跨比恒为1.0的无腹筋简支梁,大剪跨比为2.0~4.0的梁均在大剪跨段发生剪切破坏;当大剪跨比由3.0增大至3.5时,梁的极限承载力出现由大剪跨段控制转变为小剪跨段控制的现象《.混凝土结构设计规范》(GB50010—2010)预测非对称集中荷载作用下钢筋混凝土无腹筋简支梁发生剪切破坏的位置与试验结果相反,而Zsutty统计公式的预测效果最好.

倾斜矿体采空区非对称顶板-矿柱结构体协同承载机理

为解决倾斜矿体回采后大倾角顶板和非对称空区可能引发的采空区支撑结构体变形及破坏失稳问题,以某石灰石矿非对称顶板-矿柱支撑结构体为研究对象,构建结构体承载力学模型,求解顶板挠曲变形值及矿柱安全系数,分析不同倾角、跨度比下顶板变形特征及矿柱失稳破坏模式,研究其协同承载机理。结果表明:顶板变形、矿柱失稳破坏模式受采空区倾角θ和跨度比λ的双重影响,顶板变形大小随着θ的增加表现为双增长率,与λ的关系伴随着θ的变化而变化。矿柱失稳破坏模式受θ的影响程度随着λ的增加而减小,当0°<θ≤30°时,矿柱主要为小偏心受压破坏;当θ=0°和30°<θ≤60°时,随着λ值的增加,矿柱破坏模式从大偏心受压破坏向小偏心受压破坏转变。顶板维系采空区稳定的能力随着θ的增加逐渐降低,矿柱维系采空区稳定的最优λ值随着θ的增加逐渐减小,矿柱约束顶板变形作用大小随着λ的增加而降低。数值模拟和工程实例验证了理论计算结果的可靠性,为地下空场法矿山安全开采提供一定的理论支撑。

多层交通荷载下非对称一体化地下结构的动力响应

地下结构在交通荷载作用下的动力响应对其运营期的安全稳定有重要影响。为了探究大断面非对称一体化地下结构在多层交通荷载作用下的动力响应特征,依据工程典型断面建立有限元模型,模拟施加路表、市政、轨道三层交通荷载,分析了非对称一体化地下结构的振动响应和应力分布特征,探究了多层交通荷载共同作用产生的结构动力响应叠加规律。结果表明:非对称一体化结构的振动响应在市政交通层的左幅顶板中部最大,达0.5~0.7 m/s^(2),动应力在轨道交通层底角处最大,达0.08~0.10 MPa;地铁列车荷载是结构动应力的主要影响源,但土钉支护与桩基支撑能够有效降低动应力的影响;作用于地面的车辆荷载会对一体化结构的振动响应产生较显著影响,运营期应重点关注位于地面车辆行驶密集路段的结构。研究结果可为地下非对称一体化结构的优化设计、运营期养护提供参考。

永磁直驱型风机海上风电送出系统不对称接地及甩负荷电磁暂态研究

为明确海上风电交流送出系统过电压的特征与水平,需考虑风电机组的故障穿越特性。该文结合永磁直驱风机变流器的控制原理,提出海上风电送出系统不对称接地过电压的解析计算方法。基于PSCAD对风电机组进行精确电磁暂态建模与故障电压穿越测试,以国内某500 kV大规模海上风电工程为背景,仿真计算送出系统不对称接地及甩负荷过电压。结果表明:系统不对称接地过电压大小与风机正负序控制策略有关;海缆电网侧甩负荷将产生持续百ms的1.3 pu以上的暂态过电压,风机过电压保护动作延时越长,暂态过电压越严重。实际海上风电工程计算需紧密联系风机控制保护策略及其参数,并综合关键设备耐压水平进行评估,通过风机控制策略优化可以降低系统过电压水平。

非对称载荷作用下倾斜区段煤柱稳定性分析及控制技术

为解决工作面回采及巷道掘进影响下倾斜区段煤柱稳定性劣化的复杂问题,运用弹性力学半逆解法及摩尔-库伦准则建立力学模型,结合三维有限元数值模拟,深入分析了倾斜区段煤柱一侧受载结构形态特征,明确了倾斜煤柱失稳致灾力源及载荷的分布特性,探究了采掘扰动下倾斜区段煤柱塑性变形-失稳-破坏的动态演化过程,揭示了非对称载荷作用下倾斜区段煤柱临界失稳致灾机理,以此为基础优化了倾斜煤柱及周围巷道稳定性控制技术。结果表明:区段煤柱因煤层倾角导致的倾斜形态是煤柱所承受载荷呈非对称状的关键诱因,这一特性致使倾斜煤柱最底端区域覆载最大,且当此区域失稳破坏时,呈现由煤柱下端底角塑性区向煤柱上端底角塑性区扩展的运移过程,并因此得出倾斜区段煤柱临界尺寸随煤层倾角增大而增加的演化规律。由此,针对大南湖一矿倾斜区段煤柱及周围巷道变形失稳的问题,采用支护优化及注浆加固等措施,降低了倾斜区段煤柱侧巷道的变形速率,为类似矿井的煤柱稳定性控制提供了借鉴。

非对称循环载荷下铝基复合材料的疲劳寿命预测

铝基复合材料由不同力学性能和疲劳行为的多种材料组成。在非对称循环载荷下,各组分间的相互作用和影响使其疲劳寿命预测变得复杂。为解决这一问题,研究一种非对称循环载荷下铝基复合材料疲劳寿命预测方法。用Na_(3)Al F_(6)和Ti O_(2)粉末强化铝合金基体,制备出复合材料样品。设计非对称循环载荷加载条件。用Walker裂纹扩展式结合Chaboche模型进行铝基复合材料疲劳寿命预测,Chaboche模型能较好地描述材料在循环加载下的非线性行为;通过引入应力比参数,Walker公式可更准确地预测裂纹在不同应力水平下的扩展行为。将两者结合能更全面地考虑材料在疲劳过程中的各种因素,从而提高疲劳寿命预测的准确性。结果表明:随着应力幅值的增加,试件裂缝长度随之上升,同时随着循环圈数的增加,试件应力随之上升,这使得铝基复合材料疲劳寿命下降,且该方法的预测结果与实测值更接近,说明预测结果可靠。

非对称加强与狗骨式削弱型钢框架节点抗震性能数值模拟

为有效防止梁柱节点处发生脆性破坏并提高节点抗震性能,提出一种非对称加强与狗骨式削弱型钢框架节点。以边柱节点为例,利用ABAQUS有限元软件对非对称加强与狗骨式削弱型节点、非对称加强型节点、狗骨式削弱型节点和普通型节点共4个节点模型进行抗震性能对比分析,研究了节点的破坏形态、滞回曲线、骨架曲线、延性、耗能能力和刚度退化等方面的区别。研究表明:非对称加强与狗骨式削弱型节点能够有效实现塑性铰外移,防止节点发生脆性破坏,同时不仅能够提高节点的耗能能力和延性,还可以保持较好的承载能力。

非对称荷载下内撑式基坑支护结构参数分析及设计优化探讨

非对称荷载作用下,内撑式基坑会向荷载小侧整体偏移,这将不利于基坑的稳定,因此有必要对支护结构进行设计优化。本研究以某偏压综合管廊基坑为例,通过有限元软件PLAXIS 2D对该基坑进行了仿真模拟,模拟结果与实测数据吻合良好,验证了模型的有效性。进一步对该基坑进行参数分析,研究了支护结构长度、等效厚度和弹性模量对支护结构变形和基坑安全性的影响。研究结果表明,在两侧支护结构均按偏压侧进行设计的基础上,增大某侧支护结构长度,会使该侧支护结构水平位移最大值增大,分别增大两侧支护结构等效厚度、弹性模量,均可以减小该侧支护结构水平位移最大值和非偏压侧支护结构顶部逆向位移。基于参数分析,提出一种针对非对称荷载基坑的简单有效、经济可行的优化思路,并通过数值模拟对优化效果进行了分析,证明了该优化思路的可行性。

分配特殊群桩空间作用效应的双向m法

群桩到单桩的作用分配是桩基计算的关键问题,针对规范中的单向m法只适用于平面作用的局限性,从单桩刚度、群桩刚度、受力平衡方程3个层面进行公式推导,建立了变形协调的群桩刚度矩阵和空间受力平衡方程,形成了适用于空间作用的双向m法,并以对称等长直桩、双向斜桩、不对称桩为计算实例,对比分析了单向m法和双向m法的计算结果。结果表明:单向m法计算对称等长直桩时,结果准确,计算双向斜桩时,单桩的弯矩和剪力波动较大,最大值偏小20%左右,计算不对称桩时,单桩外力之和与总外力不闭合,可信度低;而双向m法的理论解可覆盖这些桩基类型,结果更接近有限元数值解。研究成果为特殊桩基提供了一种快速且简便的计算方法,扩展了公路和铁路桥梁桩基设计规范的适用范围。

4130X钢非对称非比例载荷下双轴低周疲劳行为

为研究4130X钢在双轴疲劳载荷下的应力应变状态以及疲劳损伤行为,对4130X钢开展了双轴非对称比例与非比例循环载荷作用下的疲劳试验研究。从双轴循环应变幅、双轴棘轮应变、断口形貌和疲劳寿命等方面,系统分析了不同双轴加载条件下4130X钢的低周疲劳与棘轮行为。结果表明,随着双轴载荷比的减小或相位差的增大,双轴均表现出显著的循环软化现象,并且棘轮应变显著增加,双轴棘轮效应更加明显,导致其疲劳寿命减小。与其他加载情况相比,等双轴载荷比下相位差对疲劳寿命和等效应变的影响更加显著,在双轴相位差ΔФ由0°变为90°时,疲劳寿命下降90%。断口特征表明,随着双轴非比例程度的增大,韧窝由等轴韧窝逐渐转变为剪切韧窝,数量显著增加。