STEADY-STATE RESPONSE OF A TIMOSHENKO BEAM ON AN ELASTIC HALF-SPACE UNDER A MOVING LOAD

By introducing the equivalent stiffness of an elastic half-space interacting with a Timoshenko beam, the displacement solution of the beam resting on an elastic half-space subjected to a moving load is presented. Based on the relative relation of wave velocities of the half-space and the beam, four cases with the combination of different parameters of the half-space and the beam, the system of soft beam and hard half-space, the system of sub-soft beam and hard half- space, the system of sub-hard beam and soft half-space, and the system of hard beam and soft half-space are considered. The critical velocities of the moving load are studied using dispersion curves. It is found that critical velocities of the moving load on the Timoshenko beam depend on the relative relation of wave velocities of the half-space and the beam. The Rayleigh wave velocity in the half-space is always a critical velocity and the response of the system will be infinite when the load velocity reaches it. For the system of soft beam and hard half-space, wave velocities of the beam are also critical velocities. Besides the shear wave velocity of the beam, there is an additional minimum critical velocity for the system of sub-soft beam and hard half-space. While for systems of （sub-） hard beams and soft half-space, wave velocities of the beam are no longer critical ones. Comparison with the Euler-Bernoulli beam shows that the critical velocities and response of the two types of beams are much different for the system of （sub-） soft beam and hard half-space but are similar to each other for the system of （sub-） hard beam and soft half space. The largest displacement of the beam is almost at the location of the load and the displacement along the beam is almost symmetrical if the load velocity is smaller than the minimum critical velocity （the shear wave velocity of the beam for the system of soft beam and hard half-space）. The largest displacement of the beam shifts behind the load and the asymmetry of the displacement along the beam increases with the increase of the load velocity due to the damping and wave racliation. The displacement of the beam at the front of the load is very small if the load velocity is larger than the largest wave velocity of the beam and the half space. The results of the present study provide attractive theoretical and practical references for the analysis of ground vibration induced by the high-speed train.

A HALF PLANE CRACK UNDER THREE-DIMENSIONAL COMBINED MODE IMPACT LOADING

The dynamic stress intensity factor history for a half plane crack in an otherwise unbounded elastic body, with the crack faces subjected to a traction distribution consisting of two pairs of suddenly-applied shear line loads is consid- ered. The analytic expression for the combined mode stress intensity factors as a function of time is obtained. The method of solution is based on the application of integral transforms and the Wiener-Hopf technique. Some features of the solutions are discussed and graphical numerical results are presented.

THERMAL CONSOLIDATION OF LAYERED POROUS HALF-SPACE TO VARIABLE THERMAL LOADING

An analytical method was derived for the thermal consolidation of layered, saturated porous half-space to variable thermal loading with time. In the coupled governing equations of linear thermoelastic media, the influences of thermo-osmosis effect and thermal filtration effect were introduced. Solutions in Laplace transform space were first obtained and then numerically inverted. The responses of a double-layered porous space subjected to exponential decaying thermal loading were studied. The influences of the differences between the properties of the two layers （e.g., the coefficient of thermal consolidation, elastic modulus） on thermal consolidation were discussed. The studies show that the coupling effects of displacement and stress fields on temperature field can be completely neglected, however, the the thermal responses. effect has an obvious influence on

THE ILLUSTRATION CALCULATIONS OF SECOND ORDER EFFECTS IN ELASTIC HALF-SPACE ACTED UPON BY A NON-UNIFORM SHEAR LOAD

This paper is a continuation of [1]. An example is discussed in derail to illustrate the second order effects. Numerical calculations for the second order elastic material for the z-direction displacement and the stress t(rz) are carried out. It is found that the second order effect is to reduce z-direction displacement and to decrease t(rz)inside the circle but to increase its value outside the circle.

THE GENERAL SOLUTION OF SECOND ORDER EFFECTS IN ELASTIC HALF-SPACE ACTED UPON BY A NON-UNIFORM SHEAR LOAD

This paper is a continuation of [1]. A closed form solution to the second order elasticity problem, when an isotropic compressible elastic half-space undergoes a deformation owing to a non-uniformly distributed shear load, is presented. The method of integral transform is employed to determine the solutions.

HALF-SPACE GREENS'S FUNCTION DUE TO A SPATIALLY HARMONIC LINE LOAD AND SCATTERED FIELDS IN THE FAR FIELD REGION

Half-space Green's function due to a spatially harmonic line load has been expressed as a sum of the full-space Green's functions and a 2-D integral representation of the reflected waves by the free surface of the half-space.By using the obtained half-space Green's function,an integral rep- resentation of the scattered waves by a cylindrical obstacle is then derived.Finally,by analyzing the far-zone behavior of the integrands of the integral representation.the far-field pattern of the scattered waves in a half-space obtained.

THE 3-D STRESS INTENSITY FACTOR FOR A HALF PLANE CRACK IN A TRANSVERSELY ISOTROPIC SOLID DUE TO THE MOTION OF LOADS ON THE CRACK FACES

Three-dimensional analysis of a half plane crack in a transversely isotropic solid is performed. The crack is subjected to a pair of normal point loads moving in a direction perpendicular to the crack edge on its faces. Transform methods are used to reduce the boundary value problem to a single integral equation that can be solved by the Wiener-Hopf technique. The Cagniard-de Hoop method is employed to invert the transforms. An exact expression is derived for the mode I stress intensity factor as a function of time and position along the crack edge. Some features of the solution are discussed through numerical results.

A Note on the Effect of Negative Poisson’s Ratio on the Deformation of a Poroelastic Half-Space by Surface Loads

The aim of this note is to study the effect of negative Poisson’s ratio on the quasi-static deformation of a poroelastic half-space with anisotropic permeability and compressible fluid and solid constituents by surface loads. Two particular cases considered are: two-dimensional normal strip loading and axisymmetric normal disc loading. It is found that a negative Poisson’s ratio makes the Mandel-Cryer effect more prominent. It also results in an increase in the magnitude of the surface settlement.

埋置移动荷载作用下三维黏弹性半空间的动力响应

采用积分变换方法对埋置移动荷载作用下三维黏弹性半空间地基振动的衰减规律进行了理论研究。首先,基于理想弹性介质的动力Navier方程,利用Helmholtz分解定理及傅里叶变换方法,在直角坐标系中求得了变换域内弹性介质动力响应分量的表达式。结合相应的边界条件及连续条件,得到了埋置移动荷载作用下黏弹性半空间地基动力响应的积分形式解。当荷载埋深为零时,埋置移动荷载退化为地表移动荷载,对比发现退化解结果与已有结果吻合较好。最后,采用IFFT法对地基土体动力响应进行数值求解,分析了移动荷载埋深、速度等因素对地基振动的分布衰减规律以及频谱分布的影响。

复式钢管混凝土柱-钢梁半穿心节点拉拔性能试验研究

对3种复式钢管混凝土柱-钢梁半穿心节点试件(腹板半穿心节点试件AJ1、腹板-翼缘半穿心试件AJ2和腹板-横隔板半穿心节点试件AJ3)进行了拉拔试验,探讨了节点的破坏形态和拉拔性能。结果表明试件AJ2、AJ3的承载力比试件AJ1分别提高了14.2%和13%,表明内外钢管间设置横向水平半穿心构件有利于改善节点抗拉传力机制并可明显提高其抗拉承载力。为进一步研究半穿心构件对节点拉拔性能的影响,进行了纯钢梁翼缘节点试件AJ1-R、AJ2-R、AJ3-R的拉拔试验。结果表明,3种半穿心节点试件AJ1、AJ2、AJ3的极限荷载较纯翼缘节点试件AJ1-R、AJ2-R、AJ3-R分别提高了60.1%、22.7%、73.8%,初始刚度提高约2倍;半穿心腹板为主要传力构件,保证了节点具有较强的承载能力和抗拉刚度;半穿心翼缘能直接传递梁柱之间拉力,而半穿心横隔板有利于发挥斜向腋板传递拉力的作用,达到与半穿心翼缘相当的承载能力,且能较好地保证核心区混凝土的密实性和节点变形性能。

考虑右半平面极点的三相并网变换器小干扰稳定性分析

电力电子设备渗透率的不断提高使得电力系统转动惯量和阻尼水平下降,对新型电力系统安全稳定运行带来不可忽略的影响。目前并网变换器系统判稳方法常采用奈奎斯特判据和广义奈奎斯特判据,但这两种判据均适用于阻抗比中不含右半平面(right half plane, RHP)极点的场景。针对上述问题,基于考虑正负序耦合和源荷之间耦合的等效单输入单输出(single-input single-output, SISO)系统阻抗模型,提出了考虑RHP极点的三相变换器并网系统判稳方法。首先,对研究系统的RHP极点个数及奈奎斯特曲线包围点(-1, j0)的次数进行估算。然后,在奈奎斯特判据的基础上,利用SISO系统阻抗伯德图进行分析,在系统存在RHP极点的情况下对系统的稳定性进行判断。最后,基于Matlab/Simulink中搭建电磁暂态仿真模型,验证了在有无RHP极点的不同场景下,所提判稳方法均能对三相变换器并网系统的小干扰稳定性进行有效分析。

THE THREE-DIMENSIONAL STRESS INTENSITY FACTOR UNDER MOVING LOADS ON THE CRACK FACES

The dynamic stress intensity factor history for a half plane crack in an otherwise unbounded elastic body,with the crack faces subjected to a traction distribution consisting of two pairs of combined mode point loads that move in a direction perpendicular to the crack edge is considered.The analytic expression for the combined mode stress intensity factors as a function of time for any point along the crack edge is obtained.The method of solution is based on the application of integral transform together with the Wiener-Hopf technique and the Cagniard-de Hoop method. Some features of the solution are discussed and graphical results for various point load speeds are presented.

Experimental investigation on single person's jumping load model

This paper presents a modified half-sine-squared load model of the jumping impulses for a single person. The model is based on a database of 22,921 experimentally measured single jumping load cycles from 100 test subjects. Threedimensional motion capture technology in conjunction with force plates was employed in the experiment to record jumping loads. The variation range and probability distribution of the controlling parameters for the load model such as the impact factor, jumping frequency and contact ratio, are discussed using the experimental data. Correlation relationships between the three parameters are investigated. The contact ratio and jumping frequency are identified as independent model parameters, and an empirical frequency-dependent function is derived for the impact factor. The feasibility of the proposed load model is established by comparing the simulated load curves with measured ones, and by comparing the acceleration responses of a single-degree-of-freedom system to the simulated and measured jumping loads. The results show that a realistic individual jumping load can be generated by the proposed method. This can then be used to assess the dynamic response of assembly structures.

非饱和弹性半空间地基的稳态响应半解析法研究

应用半解析法研究简谐荷载下非饱和弹性半空间地基的稳态响应。基于非饱和土的动力控制方程以及非饱和弹性半空间的边界条件,建立地基层单元的半解析函数,应用加权残数法得到在简谐荷载下非饱和弹性半空间地基的稳态响应半解析方程。对半解析方程求解,得到了竖向简谐荷载作用下非饱和弹性地基水平位移和竖向位移幅值,数值分析了饱和度和地基深度等参数对孔压和位移幅值的影响。研究结果表明,应用本文方法研究非饱和弹性半空间地基的稳态响应是切实有效的。

重载交通下复合式基层沥青路面动力学响应研究

为缓解乌鲁木齐市城市道路裂缝病害问题,选取典型城市道路复合式基层沥青路面结构进行研究,分析不同行车荷载作用下沥青路面的动力学响应。利用ABAQUS软件建立三维有限元模型,考虑水平荷载的作用,施加半正弦荷载,进行动态模拟计算,并对各项力学响应设计指标进行分析。结果表明:车速对路表弯沉影响较大;沥青稳定碎石层拉应力对面层厚度敏感性较高,随着面层厚度的增加,路表弯沉、沥青面层剪应力和基层层底拉应力峰值减少,沥青稳定碎石层拉应力峰值逐渐增大。因此,建议沥青面层厚度在12~16 cm。

提高不对称半桥反激变换器轻载效率的数字化控制方法

传统的不对称半桥反激变换器(Asymmetrical half-bridge flyback converter,AHBFC)控制方法是采用互补PWM控制.在轻载时,由于其箝位管导通时间过长,初级侧具有很大的导通损耗和循环损耗,变换器效率较低.为了解决轻载效率低问题,提出了一种基于TMS320F28335的数字化控制方法.采用非互补PWM控制,结合电感伏秒平衡关系设计控制算法预估励磁电流的过零点,变换器工作于断续模式,从而大幅降低了变压器初级侧的导通损耗和循环损耗;在主开关管开启前,引入辅助脉冲,使功率开关零电压开通(zero-voltage switching,ZVS),实现了开关损耗的降低.分析了互补控制下轻载运行时的主要损耗,给出了所提控制方法的工作原理和设计流程,并将该方法应用于一台输入电压48 V,输出12 V/100 W的数字电源原理样机.实验结果表明,在轻载下,采用提出的控制方法,变换器能够实现两个开关管的零电压开通,相较于传统互补的控制方法,转换效率提高了3%~11%,空载电流降低了37.5%.

黏弹性地基中埋置刚性圆柱状基础水平振动问题

考虑埋置基础侧面土体作用,对黏弹性半空间中埋置刚性圆柱状基础在水平简谐荷载作用下的动力响应特性进行了理论研究。基于弹性动力学理论,建立黏弹性土和基础的动力控制方程,并结合混合边值条件,使用Hankel积分变换得到基础水平动力放大系数和动力刚度表达式。将所得理论解与已知经典解对比以验证其正确性,并通过数值计算分析刚性基础和地基土的主要参数对动力放大系数和动力刚度的影响。分析结果表明:基础埋深比及侧面土体相对刚度可显著影响基础水平动力刚度和动力放大系数,且基础侧面土体作用对基础动力刚度的贡献占比随之增大而愈加突出。地基土体阻尼比和泊松比对基础刚度系数的影响较大,阻尼比对其影响随激振频率增大更趋明显,泊松比对其影响在低频和高频范围内得到相反的规律。

阻性负载交流故障电弧放电能量研究

为计算阻性负载电路交流故障电弧放电能量,搭建低压交流故障电弧试验平台,在不同电阻大小条件下,采集电弧电压与电流,并分析交流电弧特性,利用能量守恒定律计算半工频周期电弧放电能量,讨论电路电阻与半工频周期电弧电气参量和放电能量大小的关系。研究表明:随电路电阻变大,单位电弧的等效电阻变大、有效电流变小、放电能量变小;稳定燃弧单位电弧有效电流大于不稳定燃弧单位电弧有效电流,其等效电阻和放电能量相反。最后得出电路电阻与单位电弧放电能量的函数关系式,从而评估其引燃易燃易爆气体或液体蒸气的能力。

激光热应力分片技术对半片电池组件性能的影响

大尺寸、薄片化、n型电池和半片电池组件已成为光伏行业发展的趋势,电池片的切割技术是影响半片电池组件输出功率和可靠性的关键因素。采用新型激光热应力分片技术对具有半开设计图形的双面电池片进行切割,以传统激光烧蚀技术作为参照,分析了两种技术对电池损伤、组件制程和可靠性的影响。利用3D显微镜、扫描电子显微镜(SEM)、I-V测试仪和抗弯强度测试仪,分析了通过两种技术制作的半片电池片的切割截面形貌、抗弯强度性能与半片电池组件的载荷性能、电性能。结果表明,新型激光热应力分片技术制作的半片电池片抗弯强度较传统激光烧蚀技术提高约27%,半片电池组件的输出功率提升了约0.69%,且新型激光热应力分片技术使半片电池组件机械载荷后的功率衰减率降低了约30%,提高了半片电池组件的可靠性。

大跨度中承式钢管混凝土拱桥荷载试验研究及其结构性能评价

大跨度中承式钢管混凝土拱桥具有轻质高强、跨越能力大、施工方便、造价低等优势,近年来作为拱式体系桥梁被广泛应用于公路和城市道路建设中,由于该类桥型的构造形式和受力特点较常规桥梁复杂,因此对其静力和动力特性进行了研究,采用Midas civil软件建立了桥梁有限元模型,结合静载试验和动载试验研究,并应用加载和工况优化原则,给出了大跨度中承式钢管混凝土拱桥的结构性能评价结果,为同类桥梁的结构性能研究提供了参考。