Reflectionless spatial beam benders with arbitrary bending angle by introducing optic-null medium into transformation optics

By introducing an optic-null medium into the finite embedded transformation,a reflectionless spatial beam bender is designed,which can steer the output beam by a fixed pre-designed angleβfor an arbitrary incident angle.The bending angleβof the beam bender is determined by the geometrical angle of the device,which can be changed by simply choosing different geometrical angles.For various bending angles,the designed spatial beam bender can be realized by the same materials(i.e.,an optic-null medium),which is a homogenous anisotropic material.Numerical simulations verify the reflectionless bending effect and rotated imaging ability of the proposed beam bender.A reduction model of the optic-null medium is studied,which can also be used for a reflectionless spatial beam bender with a pre-designed bending angle.

GEOMETRICALLY NONLINEAR FINITE ELEMENT MODEL OF SPATIAL THIN-WALLED BEAMS WITH GENERAL OPEN CROSS SECTION

Based on the theory of Timoshenko and thin-walled beams, a new finite element model of spatial thin-walled beams with general open cross sections is presented in the paper, in which several factors are included such as lateral shear deformation, warp generated by nonuni- form torsion and second-order shear stress, coupling of flexure and torsion, and large displacement with small strain. With an additional internal node in the element, the element stiffness matrix is deduced by incremental virtual work in updated Lagrangian （UL） formulation. Numerical examples demonstrate that the presented model well describes the geometrically nonlinear property of spatial thin-walled beams.

Minimum Control Energy of Spatial Beam with Assumed Attitude Adjustment Target

The dynamic analysis on the ultra-large spatial structure can be simplified drastically by ignoring the flexibility and damping of the structure.However,these simplifications will result in the erroneous estimate on the dynamic behaviors of the ultra-large spatial structure.Taking the spatial beam as an example,the minimum control energy defined by the difference between the initial total energy and the final total energy in the assumed stable attitude state of the beam is investigated by the structure-preserving method proposed in our previous studies in two cases:the spatial beam considering the flexibility as well as the damping effect,and the spatial beam ignoring both the flexibility and the damping effect.In the numerical experiments,the assumed simulation interval of three months is evaluated on whether or not it is long enough for the spatial flexible damping beam to arrive at the assumed stable attitude state.And then,taking the initial attitude angle and the initial attitude angle velocity as the independent variables,respectively,the minimum control energies of the mentioned two cases are investigated in detail.From the numerical results,the following conclusions can be obtained.With the fixed initial attitude angle velocity,the minimum control energy of the spatial flexible damping beam is higher than that of the spatial rigid beam when the initial attitude angle is close to or far away from the stable attitude state.With the fixed initial attitude angle,ignoring the flexibility and the damping effect will underestimate the minimum control energy of the spatial beam.

Finite element analysis of spatial curved beam in large deformation

For the purpose of carrying out the large deformation finite element analysis of spatial curved beams,the total Lagrangian（TL）and the updated Lagrangian（UL）incremental formulations for arbitrary spatial curved beam elements are established with displacement vector interpolation,which is improved from component interpolation of the straight beam displacement.A strategy of replacing the actual curve with the isoparametric curve is used to expand the applications of the UL formulation.The examples indicate that the process of establishing the curved beam element is correct,and the accuracy with the curved beam element is obviously higher than that with the straight beam element.Generally,the same level of computational accuracy can be achieved with 1/5 as many curved beam elements as otherwise with straight beam elements.

A new finite element of spatial thin-walled beams

Based on the theories of Timoshenko＇s beams and Vlasov＇s thin-walled members, a new spatial thin-walled beam element with an interior node is developed. By independently interpolating bending angles and warp, factors such as transverse shear deformation, torsional shear deformation and their Coupling, coupling of flexure and torsion, and second shear stress are considered. According to the generalized variational theory of Hellinger-Reissner, the element stiffness matrix is derived. Examples show that the developed model is accurate and can be applied in the finite element analysis of thinwalled structures.

Spatial beam shaping by quartz crystal piano-convex lens

Based on the optical activity of quartz crystal, we proposed a scheme for shaping the spatial intensity distribution of a linearly polarized laser beam by utilizing a quartz crystal piano-convex lens in combination with a polarizer. The intensity profile of the shaped laser beam can be easily switched from one profile to another by controlling the polarization direction of the incident laser beam.

Bending behaviour of lightweight aggregate concrete-filled steel tube spatial truss beam

A lightweight aggregate concrete-filled steel tube(LACFST) spatial truss beam was tested under bending load. The performance was studied by the analysis of the beam deflection and strains in its chords and webs. According to the test results, several assumptions were made to deduce the bearing capacity calculation method based on the force balance of the whole section. An optimal dimension relationship for the truss beam chords was proposed and verified by finite element analysis. Results show that the LACFST spatial truss beam failed after excessive deflection. The strain distribution agreed with Bernoulli-Euler theoretical prediction. The truss beam flexural bearing capacity calculation results matched test evidence with only a 3% difference between the two. Finite element analyses with different chord dimensions show that the ultimate bearing capacity increases as the chord dimensions increase when the chords have a diameter smaller than optimal one; otherwise, it remains almost unchanged as the chord dimensions increase.

Novel Method for Spatial Angle Measurement Based on Rotating Planar Laser Beams

Spatial angle measurement, especially the measurement of horizontal and vertical angle, is a basic method used for industrial large-scale coordinate measurement. As main equipments in use, both theodolites and laser trackers can provide very high accuracy for spatial angle measurement. However, their industrial applications are limited by low level of automation and poor parallelism. For the purpose of improving measurement efficiency, a lot of studies have been conducted and several alternative methods have been proposed. Unfortunately, all these means are either low precision or too expensive. In this paper, a novel method of spatial angle measurement based on two rotating planar laser beams is proposed and demonstrated. Photoelectric receivers placed on measured points are used to receive the rotating planner laser signals transmitted by laser transmitters. The scanning time intervals of laser planes were measured, and then measured point＇s horizontal/vertical angles can be calculated. Laser plane＇s angle parameters are utilized to establish the abstract geometric model of transmitter. Calculating formulas of receiver＇s horizontal/vertical angles have been derived. Measurement equations＇ solvability conditions and judgment method of imaginary solutions are also presented after analyzing. Proposed method for spatial angle measurement is experimentally verified through a platform consisting of one laser transmitter and one optical receiver. The transmitters used in new method are only responsible for providing rotating light plane signals carrying angle information. Receivers automatically measure scanning time of laser planes and upload data to the workstation to calculate horizontal angle and vertical angle. Simultaneous measurement of multiple receivers can be realized since there is no human intervention in measurement process .Spatial angle measurement result indicates that the repeatable accuracy of new method is better than 10＂. Proposed method can improve measurement＇s automation degree and speed while ensuring measurement accuracy.

Screw theoretic view on dynamics of spatially compliant beam

Beams with spatial compliance can be deformed as bending in a plane, twisting, and extending. In terms of the screw theory on rigid body motions, the concept of ＂deflection screw＂ is introduced, a spatial compliant beam theory via the deflection screw is proposed, and the spatial compliance of such a beam system is presented and analysed based on the material theory and fundamental kinematic assumptions. To study the dynamics of the spatially compliant beam, the potential energy and the kinetic energy of the beam are discussed by using the screw theory to obtain the Lagrangian. The Rayleigh-Ritz method is used to compute the vibrational frequencies based on discussions of boundary conditions and shape functions. The eigenfrequencies of the beam with spatial compliance are compared with those of individual deformation cases, pure bending, extension, or torsion. Finally, dynamics of a robot with two spatial compliant links and perpendicular joints is studied using the spatial compliant beam theory. Coupling between the joint rigid body motions and the deformations of spatial compliant links can easily be found in dynamic simulation. The study shows the effectiveness of using the screw theory to deal with the problems of dynamic modeling and analysis of mechanisms with spatially compliant links.

Far-zone behaviors of scattering-induced statistical properties of partially polarized spatially and spectrally partially coherent electromagnetic pulsed beam

In this study, we explore the far-zero behaviors of a scattered partially polarized spatially and spectrally partially coherent electromagnetic pulsed beam irradiating on a deterministic medium. The analytical formula for the cross-spectral density matrix elements of this beam in the spherical coordinate system is derived. Within the framework of the first-order Born approximation, the effects of the scattering angle θ, the source parameters (i.e., the pulse duration T0 and the temporal coherence length Tcxx), and the scatterer parameter (i.e., the effective width of the medium σR) on the spectral density, the spectral shift, the spectral degree of polarization, and the degree of spectral coherence of the scattered source in the far-zero field are studied numerically and comparatively. Our work improves the scattering theory of stochastic electromagnetic beams and it may be useful for the applications involving the interaction between incident light waves and scattering media.

Spatial Correlation Characteristics Analysis of Multi-Beam Channels of Mobile Satellite System

Due to the influence of scatterers around the receiving antenna, the multipath signal in satellite mobile communication systems is correlated with each other which would influence the system performance. There is no systematic standard on the channel modelling of the wideband satellite channel at present, so the study of the modelling of the wideband satellite channel is of great importance. In this paper, firstly we created a multi-beam model which can figure out the antenna gain of the nth component beam. Secondly, we combined the characteristics of multi-beam satellite channel and the distribution of the scatterers, and set up a three-dimension random channel model. This model is more realistic for satellite communication system since it considers the height of scatterers. According to the channel models, we had the formula of spatial correlation coefficient. We used the formula to calculate the relationship between spatial correlation coefficient and the interval of antennas. The result shows that the spatial correlation exists and cannot be ignored while modeling for mobile satellite system.

Fusion of Multi-Pinched Plasma Beams Converging with Spatial Symmetry

Fusion reactions can be achieved by using deuterium from sea water as the fuel.The amount of deuterium in one gallon of sea water contains energy equivalent to three hundred gallons of gasoline.Satisfactory conditions of plasma temperature and density necessary to initiate fusion have been achieved in various research facilities.However,the confinement time is not sufficient for ignition due to plasma instabilities.Here we show that fatal plasma instabilities could be suppressed by the ingenious arrangement of multi-pinched plasma beams converging symmetrically in space based on the minimization principle of plasma potential energy.Confirmation tests are proposed using tiny wires containing deuterium.If successful,the results could lead to a feasible approach to obtaining commercial fusion power from sea water,hence without the need to use expensive and radioactive tritium as the fuel.

考虑结构空间约束的现浇楼盖梁跨中受弯性能试验

为研究结构空间约束导致现浇钢筋混凝土楼盖梁跨中受弯承载力超强的机制,以楼盖梁在结构中的空间位置和配筋率为变量,设计12根上部架立筋不伸入支座的楼盖梁试件并开展跨中受弯静力试验,并基于建立经典混凝土理论的试验方法进行了4根简支梁对比试验。对梁试件破坏形态、承载力、变形能力、轴向伸长进行研究,结果表明:楼盖梁试件承载力与按受弯构件计算承载力之比为1.57~2.77,与相应矩形简支梁试件和T形简支梁试件承载力相比均有较大提高,超强程度与配筋率成反比;与简支梁试件相比,楼盖梁试件跨中截面破坏形态未因轴压力而发生显著改变,但楼盖梁试件延性降低;楼盖梁试件轴向伸长随挠度的增大而增大。将楼盖梁视为压弯构件,提出根据楼盖梁试验峰值荷载确定相应轴力和弯矩的方法。计算结果表明,楼盖梁试件跨中截面压弯状态弯矩与受弯状态弯矩的比值为1.28~2.19。楼盖梁试件有限元数值模拟结果表明,随着楼盖梁截面包含的楼板范围增大,轴力沿梁跨分布趋于均匀。

卷积神经网络与随机场分析桩梁基础承载力

岩土体的参数在空间上随机分布,为能更好地反应实际工程地质条件,在桩基础承载力研究中考虑土体的不确定性,并建立具有重要工程价值的承载力预测模型,将基于随机场理论的岩土参数空间变异性引入桩梁基础的研究中,采用数值方法建立桩梁基础与群桩基础的二维随机有限元模型分析承载能力,并与模型试验结果验证。随后通过卷积神经网络建立土体参数随机场图像与基础极限承载力之间的模型进行承载力预测,并基于预测模型研究不同参数的影响。结果表明:考虑土体空间变异性的基础承载力与试验结果基本吻合,随机结果均高于确定性分析;随机场下桩梁基础与群桩基础的承载力均为正态分布;采用卷积神经网络建立的基础承载力预测模型精度较高,且可以用于参数分析,基础承载力随着土体参数的增加而增加,随变异系数的增加而下降。随机条件下,桩梁基础的承载力高于群桩基础,可以充分发挥土体强度并抵御参数不确定性带来的承载力损失。

焊接空心球连接H型钢Z字形螺栓节点静力性能研究

提出了一种新型焊接空心球连接H型钢Z字形螺栓节点(新型螺栓节点),该节点适用于全装配大跨度弦支穹顶结构体系上部网壳连接。该节点的弦杆采用热轧H型钢,方便栓接、施工便捷、制造能耗低,可以实现部品部件到体系的标准化。为了研究新型螺栓节点的静力性能,对该节点进行了轴压、轴拉、纯弯和压弯荷载工况下的有限元分析,研究了该节点在不同荷载工况下的破坏模式、承载力、刚度、延性等力学性能指标,对比分析了新型螺栓节点与焊接空心球连接H型钢焊接节点(焊接节点)的破坏模式和静力性能。研究表明,在轴压和压弯荷载下新型螺栓节点和焊接节点的极限破坏模式均为H型钢弦杆局部屈曲和屈服,在轴拉荷载下新型螺栓节点和焊接节点的极限破坏模式均为H型钢弦杆全截面屈服,在纯弯荷载下新型螺栓节点和焊接节点的极限破坏模式均为H型钢弦杆局部屈曲。新型螺栓节点可以实现塑性铰远离焊缝和拼接区,符合“强连接,弱杆件”的设计要求。

基于空间光调制器的艾里光束能量调制方法

艾里光束由于具有无衍射、自加速和自愈合等特性,具有重要的应用前景。本文基于空间光调制器可编程特性,提出了一种可调谐的艾里光束能量调制新方法。从理论上深入分析通过在相位图中引入一个可控的调制相位而实现了艾里光束能量调控的方法,并且量化了调制参数与能量调制范围的关系。仿真和实验结果表明通过改变调制相位可以灵活地调节光束能量分布,本文的研究有助于进一步推动艾里光束的应用。

结构空间约束对钢筋混凝土梁受弯性能的影响

为探究结构空间约束对框架结构屈服机制的影响,借助多尺度数值方法,建立了具有不同边界条件的钢筋混凝土(reinforced concrete,RC)梁模型.定量分析了端部约束及添加现浇楼板对RC框架梁刚度和受弯承载力,即试件所能承受的最大弯矩的影响,揭示了端部约束及现浇楼板对RC梁弯曲机制的影响机理.此外,对各国规范计算的受弯承载力进行对比分析.结果表明,结构空间约束会影响RC框架梁的破坏形态.固支梁的刚度和受弯承载力显著高于简支梁,固支梁的受弯承载力和刚度最高可达简支梁的3.06倍和4.10倍.添加现浇楼板可显著提高梁的受弯承载力与刚度.各国规范可准确地计算简支梁的受弯承载力.然而,计算的固支梁及楼盖梁的受弯承载力极其保守,剪跨比为5.0的固支加板梁的受弯承载力模拟值分别是中国、美国和加拿大规范值的6.25倍、6.76倍和6.06倍.

基于空间光调制器的激光光束宽度调节装置

为了满足激光产业对光束宽度测量装置的溯源要求,提升激光光束宽度校准能力,针对400~700 nm波段的激光器不同光束宽度校准的需求,设计了一套基于空间光调制器的激光光束宽度可调节装置,用于光束质量分析仪或激光光斑测量仪的校准。实验结果表明该装置在0.1~5.0 mm的宽度范围连续可调;利用部分相干光束抗环境扰动能力强的特点,其短期稳定性达99.5%,长期稳定性达99.1%,优于参考激光器96.8%的短期稳定性和96.3%的长期稳定性。此外,基于空间光调制器优越的光束整形能力,该装置可将输入的非规则光束输出为高斯光束。

基于合束的500 W蓝光半导体激光模块化研究

为了满足新能源汽车电池制造、航空航天高反射材料铜的焊接和金属3-D打印领域的应用需求,采用空间合束以及偏振合束方法,研制出基于150 W阵列式蓝光单元的500 W蓝光半导体激光模块。实现了快轴上发光单元内部的光束叠加、慢轴上多个发光单元交叉加密输出,消除发光死区,将4个独立发光单元的激光合束为一个方形光斑,增加功率密度而不影响光束质量;并研究了激光模块热效应与冷却特性,设计出激光模块稳定输出方案。结果表明,最终输出蓝光激光快轴发散角0.4°,慢轴发散角0.02°,发光功率501 W,整体效率81.3%,功率波动小于0.7%。本研究成果为进一步研制4 kW大功率蓝光半导体激光器提供了基本合束模块。

A new beam element for analyzing geometrical and physical nonlinearity

Based on Timoshenko＇s beam theory and Vlasov＇s thin-walled member theory, a new model of spatial thin-walled beam element is developed for analyzing geometrical and physical nonlinearity, which incorporates an interior node and independent interpolations of bending angles and warp and takes diversified factors into consideration, such as traverse shear deformation, torsional shear deformation and their coupling, coupling of flexure and torsion, and the second shear stress. The geometrical nonlinear strain is formulated in updated Lagarange （UL） and the corresponding stiffness matrix is derived. The perfectly plastic model is used to account for physical nonlinearity, and the yield rule of von Mises and incremental relationship of Prandtle-Reuss are adopted. Elastoplastic stiffness matrix is obtained by numerical integration based on the finite segment method, and a finite element program is compiled. Numerical examples manifest that the proposed model is accurate and feasible in the analysis of thin-walled structures.