Surface motion of alluvial valley in layered half-space for incident plane P-waves

The indirect boundary element method (IBEM) is used to study the surface motion of an alluvial valley in layered half-space for incident plane P-waves based on Wolf’s theory. Firstly, the free field response can be solved by the direct stiffness method, and the scattering wave response is calculated by Green’s functions of distributed loads acting on inclined lines in a layered half-space. The method is verified by comparing its results with literature and numerical analyses are performed by taking the amplification of incident plane P-waves by an alluvial valley in one soil layer resting on bedrock as an example. The results show that there exist distinct differences between the wave amplification by an alluvial valley embedded in layered half-space and that in homogeneous half-space and there is interaction between the valley and the soil layer. The amplitudes are relatively large when incident frequencies are close to the soil layer’s resonant frequencies.     

Dynamic responses of cable-stayed bridges to vehicular loading including the effects of the local vibration of cables

Stay cables, the primary load carrying components of cable-stayed bridges (CSBs), are characterised by high flexibility which increases with the span of the bridge. This makes stay cables vulnerable to local vibrations which may have significant effects on the dynamic responses of long-span CSBs. Hence, it is essential to account for these effects in the assessment of the dynamics CSBs. In this paper, the dynamic responses of CSBs under vehicular loads are studied using the finite element method (FEM), while the local vibration of stay cables is analyzed using the substructure method. A case study of a cable-stayed steel bridge with a center span of 448 m demonstrates that stay cables undergo large displacements in the primary mode of the whole bridge although, in general, a cable’s local vibrations are not obvious. The road surface roughness has significant effects on the interaction force between the deck and vehicle but little effect on the global response of the bridge. Load impact factors of the main girder and tower are small, and the impact factors of the tension of cables are larger than those of the displacements of girders and towers.     

表面棱边单元法求解三维电磁场问题

提出了表面棱边单元方法并应用它求解任意形状物体的三维电磁场散色问题.首先根据物体剖分得出表面区域的几何特性,推导出表面棱边单元法的基本公式.该方法保持了普通棱边单元法的基本特性,维持变量的切向分量连续.然后用复合积分方程来模拟普通介质的电磁场散色问题,应用所提出的方法离散积分方程,并且对奇点问题采用特殊的处理方法.最后用该方法计算圆柱体以及四方体的在不同介质条件下的电磁场散色问题,对所得的数值解进行测试,并与其他数值方法解相比较,结果表明该方法行之有效.     

大跨径钢桥面铺装动响应分析

为了研究车辆随机荷载作用下的大跨径钢桥面铺装层动响应,首先根据目前钢桥面铺装的平整度现状,利用功率谱密度函数模拟桥面不平度;然后选取单轮车辆模型计算由桥面不平度引起的行驶车辆随机动荷载;最后采用瞬态动力分析方法计算了铺装层的竖向位移及最大横向拉应力等主要力学响应,并与以往的移动恒载作用下铺装层的动响应及静力计算结果做了比较、分析表明,针对铺装层而言,相邻的2块横隔板的跨中位置为最不利荷栽位置;考虑桥面不平度情况下铺装层的最大竖向位移和最大横向拉应力的峰值分别是只考虑冲击系数的移动恒载作用下的1.33倍和1.39倍、研究结果为铺装层的混合料和结构设计提供了理论依据,对桥面施工及维护提出了严格要求.     

Analytical study on the dynamic displacement response of a curved track subjected to moving loads

A closed-form out-of-plane dynamic displacement response of a curved track subjected to moving loads was pro- posed. The track structure was modeled as a planar curved Timoshenko beam periodically supported by the double-layer spring-damping elements. The general dynamic displacement response induced by the moving loads along the curve on the elastic semi-infinite space was firstly obtained in the frequency domain, according to the Duhamel integral and the dynamic reciprocity theorem. In the case of the periodic curved track structure subjected to moving loads, the dynamic displacement equation was simplified into a form of summation within the basic track cell instead of the integral. The transfer function for the curved track was expressed in the form of a transfer matrix. Single and series moving loads were involved in the calculation program. For the verification of the analytical model, the mid-span vertical deflection of a simply support curved beam subjected to moving load was recalculated and compared with the same case in the reference. The research results indicate that： under the same moving loads, the displacement response of the curved track decreases slightly with the increasing track radius, and the displacement response of the curved track with the radius greater than or equal to 600 m is almost equivalent to the displacement response of the straight track; the frequency spectrum of the curved track is more abundant than that of the straight track, which may result in more wheel-rail resonance and rail corrugation in the curved lines.     

有限元-边界元法计算电磁响应

提出了用有限元-边界元法计算三维电磁场感应问题. 首先阐述了棱边单元法的基本性质, 并且根据基函数的几何平面特性推导出对于任意位置面的表面棱边单元法基本公式, 然后用棱边单元法离散数学模型. 用此方法模拟地下金属军事目标的电磁响应, 计算了目标的最低谐振频率及表面电流密度, 和单一目标的频率特性及位移特性, 计算结果和实验结果一致, 因此这种数值方法对计算三维电磁场问题行之有效.     

大跨径悬索桥动载试验研究

为检验在役大跨径悬索桥结构的动力性能,对主跨128 m地锚式悬索桥进行动力试验.测试其自振频率、振型和阻尼比;激振试验中,测试桥跨结构在汽车以不同速度通过桥跨和在桥上特定位置跳车时桥跨结构的动应变、动位移、振幅以及加速度等动力响应,计算得出冲击系数.并将实测结果与有限元结果进行对比分析.结果表明,该悬索桥具有较好的竖向刚度、横向刚度;汽车在桥上运行时对桥跨结构有一定的冲击作用但并不明显,有障碍行车舒适度较差.     

Ground-borne vibrations due to dynamic loadings from moving trains in subway tunnels

In this study, ground vibrations due to dynamic loadings from trains moving in subway tunnels were investigated using a 2.5D finite element model of an underground tunnel and surrounding soil interactions. In our model, wave propagation in the infinitely extended ground is dealt with using a simple, yet efficient gradually damped artificial boundary. Based on the assumption of invariant geometry and material distribution in the tunnel??s direction, the Fourier transform of the spatial dimension in this direction is applied to represent the waves in terms of the wave-number. Finite element discretization is employed in the cross-section perpendicular to the tunnel direction and the governing equations are solved for every discrete wave-number. The 3D ground responses are calculated from the wave-number expansion by employing the inverse Fourier transform. The accuracy of the proposed analysis method is verified by a semi-analytical solution of a rectangular load moving inside a soil stratum. A case study of subway train induced ground vibration is presented and the dependency of wave attenuation at the ground surface on the vibration frequency of the moving load is discussed.     

A 2.5D finite element approach for predicting ground vibrations generated by vertical track irregularities

Dynamic responses of track structure and wave propagation in nearby ground vibration become significant when train operates on high speeds. A train-track-ground dynamic interaction analysis model based on the 2.5D finite element method is developed for the prediction of ground vibrations due to vertical track irregularities. The one-quarter car model is used to represent the train as lumped masses connected by springs. The embankment and the underlying ground are modeled by the 2.5D finite element approach to improve the computation efficiency. The Fourier transform is applied in the direction of train’s movement to express the wave motion with a wave-number. The one-quarter car model is coupled into the global stiffness matrix describing the track-ground dynamic system with the displacement compatibility condition at the wheel-rail interface, including the irregularities on the track surface. Dynamic responses of the track and ground due to train’s moving loads are obtained in the wave-number domain by solving the governing equation, using a conventional finite element procedure. The amplitude and wavelength are identified as two major parameters describing track irregularities. The irregularity amplitude has a direct impact on the vertical response for low-speed trains, both for short wavelength and long wavelength irregularities. Track irregularity with shorter wavelength can generate stronger track vibration both for low-speed and high-speed cases. For low-speed case, vibrations induced by track irregularities dominate far field responses. For high-speed case, the wavelength of track irregularities has very little effect on ground vibration at distances far from track center, and train’s wheel axle weights becomes dominant.     

Dynamic stiffness for thin-walled structures by power series

INTRODUCTION Thin-walled structures have considerable tech-nological importance in many situations of engi-neering practice. The rotary and warping inertia terms should be considered in the analyses of thin-walled structures (Alwis and Wang, 1996), although it is difficult to obtain the analytical solutions of govern-ing differential equations, especially of thin-walled frame and spatial twisted structure. The finite element method (FEM) is widely used for vibration and sta-bility analy…     

半解析法求解含轴向浅槽复合材料圆柱壳的非线性动力响应及屈曲问题

The effect of axial shallow groove on the nonlinear dynamic response and buckling of laminated cylindrical shells subjected to radial compression loading was investigated. Based on the first-order shear deformation theory （FSDT）, the nonlinear dynamic equations involving the transverse shear deformation and initial geometric imperfections were derived with the Hamilton philosophy. The axial shallow groove of the laminated composite cylindrical shell was treated as the initial geometric imperfections in the dynamic equations. A semi-analytical method of expanding displacements and loads along the circumferential direction and employing the finite difference method along the axial direction and in the time domain is used to solve the governing equations and obtain the dynamic response of the laminated shell. The B-R criterion was employed to determine the critical loads of dynamic buckling of the shell. The effects of the parameters of the shallow groove on the dynamic response and buckling were discussed in this paper and the results show that the axial shallow grooves greatly affect the dynamic response and buckling.     

Wind-induced stochastic response of controlled tall buildings by complex-mode analysis

This paper deals with the along-wind dynamic response of tall buildings passively controlled by Cross-Tensioned Spring Damper (CTSD) mechanisms. In order to estimate the dynamic response more accurately and efficiently, the building and its CTSD controllers were considered as a coupled non-classical damping system and a new stochastic response analysis method, complex-modal state-space method, was proposed based on the combination of complex modes of the structural system rather than on the real-modal decomposition as usual. As numerical examples, the displacement response of a 2-degree-of-freedom system to white-noise input is first considered and the validity and accuracy of the proposed method are demonstrated through comparison with the exact results. The wind-induced dynamic responses of a tall building controlled by two CTSD mechanisms are then analyzed. The calculation results showed that the proposed method is much more appropriate and accurate than the conventional real-modal decomposition method in the analysis of dynamic responses of passively controlled tall buildings. Project (59478034) supported by National Natural Science Foundation of China (NSFC).     

基于动态图像跟踪显示技术的刀具轮廓光电形位检测系统(英)

在刀具轮廓检测仪的设计中,完成了用微机显示器直接动态跟踪显示物体轮廓图像的方法．给出了实现该方法的硬件、软件原理,同时对轮廓点的提取、空间位置的标定以及动态图像的稳定技术进行了论述．该方法为传统的视觉测量系统设计提供了新的思路,简化了刀具检测仪的机械结构设计,方便了系统软件的编制,实现了测量与显示同时进行,为仪器的实用性奠定了基础．     

考虑电磁力作用下磁浮三跨刚构桥振动分析

研究了磁浮车辆与三跨刚构桥之间的耦合振动.考虑主动控制电磁悬浮力的作用,建立了磁浮车辆-桥梁耦合振动分析模型.使用数值方法对车辆通过时桥梁的动力反应进行了分析.结果表明桥梁的梁墩线刚度比宜在2.0到3.0之间.桥梁的动力反应随着桥梁刚度的降低、车速和跨度比的增加而加剧.建议桥梁动力设计中以控制桥梁的冲击系数和振动加速度为主.移动荷载模型和移动质量模型在磁浮桥梁动力设计中均不适用.所得结论可为高速磁浮三跨刚构桥设计提供理论依据.     

Theoretical solution of a spherically isotropic hollowsphere for dynamic thermoelastic problems

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Theoretical solution of a spherically isotropic hollow sphere for dynamic thermoelastic problems

The separation of variables method was successfully used to resolve the spherically symmetric dynamic thermoelastic problem for a spherically isotropic elastic hollow sphere. Use of the integral transform can be avoided by means of this method, which is also appropriate for an arbitrary thickness hollow sphere subjected to arbitrary thermal and mechanical loads. Numerical results are presented to show the dynamic stress responses in the uniformly heated hollow spheres.     

非解析径向轴承支承转子系统非线性动力特性分析

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Theoretical solution of a spherically isotrophic hollow sphere for dynamic thermoelastic problems

The separation of variables method was successfully, used to resolve the spherically symmetric dynamic thermoelastic problem for a spherically isotropic elastic hollow sphere. Use of the integral transform can be avoided by means of this method, which is also appropriate for an arbitrary thickness hollow sphere subjected to arbitrary thermal and mechanical loads. Numerical results are presented to show the dynamic stress responses in the uniformly heated hollow spheres. Project supported by the National Natural Science Foundation of China (Nos. 10172075, 10002016)     

Analysis of dynamical response to large deformation of piles with initial displacements

In this paper, a nonlinear mathematical model for analyzing dynamical response to the large deformation of piles with initial displacements is firstly established with the arc-coordinate, and it is a set of nonlinear integral-differential equations, in which, the Winkeler model is used to simulate the resistance of the soil to the pile. Secondly, a set of new auxiliary functions are introduced. The differential-integral equations are transformed into a set of nonlinear differential equations,and the differential quadrature method (DQM) and the finite difference method (FDM) are applied to discretize the set of nonlinear equations in the spatial and time domains, respectively. Then, the Newton-Raphson method is used to solve the set of discretization algebraic equations at each time step. Finally, numerical examples are presented, and the dynamical responses to the deformation of piles, including configuration, bending moment and shear force, are graphically illuminated. In calculation, two types of initial displacements and dynamical loads are applied, and the effects of parameters on the dynamical responses of piles are analyzed in detail.     

Dynamics of a prestressed Timoshenko beam subject to arbitrary external load

The free vibration and transient wave in a prestressed Rayleigh-Timoshenko beam subject to arbitrary transverse forces are analyzed by the newly developed method of reverberation-ray matrix （MRRM）. The effects of shear deformation and rotational inertia are taken into consideration. With a Fourier transform technique, the general wave solutions with two sets of unknown amplitude coefficients are obtained in the transformed domain for an unbonded prestressed beam under the action of arbitrary external excitations. From the coupling at joints and the compatibility of displacements in each member, the free and forced vibration responses of a beam with various boundary conditions are finally evaluated through certain numerical algorithms, Results are presented for a simply-supported beam subject to either a point fixed load or moving load. Good agreement with the finite element method （FEM） is obtained. The present work is instructive for high-speed railway bridge design and structural health monitoring.