FREE VIBRATION ANALYSIS AND PHYSICAL PARAMETER IDENTIFICATION OF NON-UNIFORM BEAM CARRYING SPRING-MASS SYSTEMS

To analyze a multibody system composed of non-uniform beam and spring-mass subsystems, the model discretization is carried on by utilizing the finite element method（FEM）, the dynamic model of non-uniform beam is developed by using the transfer matrix method of multibody system（MS-TMM）, the transfer matrix of non-u- niform beam is derived, and the natural frequencies are computed. Compared with the numerical assembly method （NAM）, the results by MS-TMM have good agreement with the results by FEM, and are better than the results by NAM. When using the high precision method, the global dynamic equations of the complex multibody system are not needed and the orders of involved system matrices are decreased greatly. For the investigation on the re- verse problem of the physical parameter identification of multibody system, MS-TMM and the optimization tech- nology based on genetic algorithms（GAs） are combined and extended. The identification problem is exchanged for an optimization problem, and it is formulated as a global minimum solution of the objective function with respect to natural frequencies of multibody system. At last, the numerical example of non-uniform beam with attach- ments is discussed, and the identification results indicate the feasibility and the effectivity of the proposed aop- proach.

Free vibration of non-uniform axially functionally graded beams using the asymptotic development method

The asymptotic development method is applied to analyze the free vibration of non-uniform axially functionally graded(AFG) beams, of which the governing equations are differential equations with variable coefficients. By decomposing the variable flexural stiffness and mass per unit length into reference invariant and variant parts, the perturbation theory is introduced to obtain an approximate analytical formula of the natural frequencies of the non-uniform AFG beams with different boundary conditions.Furthermore, assuming polynomial distributions of Young's modulus and the mass density, the numerical results of the AFG beams with various taper ratios are obtained and compared with the published literature results. The discussion results illustrate that the proposed method yields an effective estimate of the first three order natural frequencies for the AFG tapered beams. However, the errors increase with the increase in the mode orders especially for the cases with variable heights. In brief, the asymptotic development method is verified to be simple and efficient to analytically study the free vibration of non-uniform AFG beams, and it could be used to analyze any tapered beams with an arbitrary varying cross width.

Exact Solutions and Mode Transition for Out-of-Plane Vibrations of Non-uniform Beams with Variable Curvature

The two coupled governing differential equations for the out-of-plane vibrations of non-uniform beams with variable curvature are derived via the Hamilton’s principle.These equations are expressed in terms of flexural and torsional displacements simultaneously.In this study,the analytical method is proposed.Firstly,two physical parameters are introduced to simplify the analysis.One derives the explicit relations between the flexural and the torsional displacements which can also be used to reduce the difficulty in experimental measurements.Based on the relation,the two governing characteristic differential equations with variable coefficients can be uncoupled into a sixth-order ordinary differential equation in terms of the flexural displacement only.When the material and geometric properties of the beam are in arbitrary polynomial forms,the exact solutions with regard to the outof-plane vibrations of non-uniform beams with variable curvature can be obtained by the recurrence formula.In addition,the mode transition mechanism is revealed and the influence of several parameters on the vibration of the non-uniform beam with variable curvature is explored.

Numerical Calculation of Dynamic Response for Multi-Span Non-Uniform Beam Subjected to Moving Mass with Friction

In order to simulate the coupling vibration of a vehicle or train moves on a multi-span continuous bridge with non-uniform cross sections, a moving mass model is used according to the Finite Element Method, the effect of the inertial force, Coriolis force and centrifugal force are considered by means of the additive matrices. For a non-uniform rectangular section beam with both linear and parabolic variable heights in a plane, the stiffness and mass matrices of the beam elements are presented. For a non-uniform box girder, Romberg numerical integral scheme is adopted, each coefficient of the stiffness matrix is obtained by means of a normal numerical computation. By applying these elements to calculate the non-uniform beam, the computational accuracy and efficiency are improved. The finite element method program is worked out and an entire dynamic response process of the beam with non-uniform cross sections subjected to a moving mass is simulated numerically, the results are compared to those previously published for some simple examples. For some complex multi-span bridges subjected to some moving vehicles with changeable velocity and friction, the computational results, which can be regarded as a reference for engineering design and scientific research, are also given simultaneously.

Filling patterns in the SSRF storage ring

There are various filling patterns in a storage ring for the users' requirements and consideration of the machine performances,such as beam lifetime,instability and chamber heating.These effects have been experimentally studied in the SSRF storage ring for typical filling patterns.Some experiment results and general trends of observations discussed in this paper.The explanations of the results are given.

Seismic Behavior of Diaphragm-Through Connections of Concrete-Filled Square Steel Tubular Columns and H-Shaped Steel Beams

Based on the introductions of a type of diaphragm-through connection between concrete-filled square steel tubular columns (CFSSTCs) and H-shaped steel beams,a finite element model of the connection is developed and used to investigate the seismic behavior of the connection.The results of the finite element model are validated by a set of cyclic loading tests.The cyclic loading tests and the finite element analyses indicate that the failure mode of the suggested connections is plastic hinge at the beam with inelastic rotation angle exceeding 0.04 rad.The suggested connections have sufficient strength,plastic deformation and energy dissipation capacity to be used in composite moment frames as beam-to-column rigid connections.

Transverse vibrations of arbitrary non-uniform beams

Free and steady state forced transverse vibrations of non-uniform beams are investigated with a proposed method, leading to a series solution. The obtained series is verified to be convergent and linearly independent in a convergence test and by the non-zero value of the corresponding Wronski determinant, respectively. The obtained solution is rigorous, which can be reduced to a classical solution for uniform beams. The proposed method can deal with arbitrary non-uniform Euler-Bernoulli beams in principle, but the methods in terms of special functions or elementary functions can only work in some special cases.

Non-Uniformity of Heavy-Ion Beam Irradiation on a Direct-Driven Pellet in Inertial Confinement Fusion

Heavy-ion-driven fusion （HIF） is a scheme to achieve inertial confinement fusion （ICF）. Investigation of the non-uniformity of heavy-ion beam （HIB） irradiation is one of the key issues for ICF driven by powerful heavy-ion beams. Ions in HIB impinge on the pellet surface and deposit their energy in a relatively deep and wide area. Therefore, the non-uniformity of HIB irradiation should be evaluated in the volume of the deposition area in the absorber layer. By using the OK1 code with some corrections, the non-uniformity of heavy-ion beam irradiation for the different ion beams on two kinds of targets were evaluated in 12-beam, 20-beam, 60-beam and 120-beam irradiation schemes. The root-mean-square （RMS） non-uniformity value becomes aRMS = 8.39% in an aluminum mono-layer pellet structure and aRMS = 6.53% in a lead-aluminum layer target for the 12-uranium-beam system. The RMS non-uniformity for the lead-aluminum layer target was lower than that for the mono-layer target. The RMS and peak-to-valley （PTV） non-uniformities are reduced with the increase in beam number, and low at the Bragg peak layer.

A New Non-uniform Beam Element and Its Application to Buckling Analysis for Framed Structures

The non-uniform beam components are commonly used in engineering,while the method to analyze such component is not too satisfactory yet. A new non-uniform beam element with high precision was developed based on the non-linear analysis and the static condensation. Based on the interpolation theory, the displacement fields of the three-node non-uniform Euler-Bernoulli beam element were constructed at first: the quintic Hermite interpolation polynomial was used for the lateral displacement field and the quadratic Lagrange interpolation polynomial for the axial displacement field. Then,based on the basic assumptions of non-uniform Euler-Bernoulli beam whose section properties were continuously varying along its centroidal axis, the linear and geometric stiffness matrices of the three-node non-uniform beam element were derived according to the nonlinear finite element theory. Finally,the degrees of freedom ( DOFs) of the middle node of the element were eliminated using the static condensation method, and a new two-node non-uniform beam element including axial-force effect was obtained. The results indicate that each bar needs to be meshed with only one element could get a fairly accurate solution when it is applied to the stability analyses.

ON THE LIMIT CASE OF THE STEP-REDUCTION METHOD FOR CALCULATING NON-UNIFORM BEAM WITH VARIOUS SECTIONS

In this paper, the step reduction method is discussed, which was advanced by Prof. Yeh Kai-yuan for calculating a non-uniform beam with various sections. The following result is proved. The approximate solution by this method approaches the true solution if the number of the steps approaches the infinity. However, the measure of the error between the limit solution and the ture solution is not in the pure mathematics sense but in the mechanics sense.

A dark hollow beam from a selectively liquid-filled photonic crystal fibre

This paper reports that, based on the electromagnetic scattering theory of the multipole method, a high-quality hollow beam is produced through a selectively liquid-filled photonic crystal fibre. Instead of a doughnut shape, a typical hollow beam is produced by other methods; the mode-field images of the hollow-beam photonic crystal fibre satisfy sixth-order rotation symmetry, according to the symmetry of the photonic crystal fibre （PCF） structure. A dark spot size of the liquid-filled photonic crystal fibre-generated hollow beam can be tuned by inserting liquid into the cladding region and varying the photonic crystal fibre structure parameters. The liquid-filled PCF makes a convenient and flexible tool for the guiding and trapping of atoms and the creation of all-fibre optical tweezers.

钢管混凝土键连接框架梁和剪力墙的受剪性能

目的 研究钢管混凝土键连接框架梁和剪力墙的受剪性能,为工程应用提供设计依据。方法 应用有限元分析软件ABAQUS对比钢管混凝土键连接与现浇连接梁墙的结构受剪性能,分析前者受剪机理及不同因素对受剪性能的影响。结果 钢管混凝土键连接梁墙的结构承载力和延性系数较现浇结构分别提高约10%和34%;钢材强度从Q235到Q390,初始刚度增加8.44%;截面高度从100 mm到120 mm,延性系数提高17.73%;截面厚度每增加2 mm,承载力提高约15%;截面长度和混凝土强度等级对承载力、初始刚度和延性系数的影响均小于15%,纵向距离对其受剪性能几乎无影响。结论 采用钢管混凝土键连接梁墙的结构总体受剪性能优于现浇结构;钢材强度和截面厚度分别是影响初始刚度和承载力的主要因素。

新型钢管混凝土梁柱节点力学性能试验研究

为研究内加强环式圆钢管混凝土柱与矩形钢管混凝土梁这种新型连接节点的力学性能,设计了缩尺钢管混凝土梁柱节点试件,开展了相同梁柱节点试件的静力加载试验和低周往复加载试验。通过研究该节点试件的破坏模式、荷载-位移曲线以及拟静力加载试验的骨架曲线、核心区剪切变形等,分析了节点试件的承载能力、延性和耗能能力,全面考察了同一梁柱节点在静力加载和低周往复加载两种工况下的受力性能和破坏模式。结果表明:钢管混凝土梁柱节点试件核心区强度较强,破坏模式主要为梁端破坏,低周往复加载试验时试件梁柱连接处附近的梁端钢板发生拉裂破坏和钢板鼓曲,静力加载试验时试件梁端焊缝发生拉裂破坏;试件延性较好,加载过程中经历了弹性、弹塑性和塑性发展阶段。最后提出了该类钢管混凝土梁柱节点核心区的抗剪强度计算公式。

集中荷载作用下弹性支撑矩形钢管混凝土翼缘工字形梁稳定性能研究

为研究弹性支撑刚度对矩形钢管混凝土翼缘工字形梁稳定性能的影响,开展了集中荷载作用下3根带有不同弹性支撑刚度的矩形钢管混凝土翼缘工字形梁的稳定性能试验,研究试验梁的位移及应变的变化规律,获得梁的失稳形式和稳定承载力。试验结果表明,整个加载破坏过程分为三个阶段,即弹性阶段、弹塑性阶段和破坏阶段,3根试验梁均发生整体弯扭屈曲失稳。随着弹性支撑刚度增加,梁稳定承载力增大,验证了设置弹性支撑可有效地提高该梁的稳定承载力。在试验基础上,利用ANSYS有限元软件对该梁进行非线性屈曲分析,将获得的稳定承载力与试验结果进行对比,误差均小于5%,从而验证有限元分析方法的正确性。最后,研究了混凝土强度、上翼缘含钢率和腹板高厚比等参数对该类梁稳定性能的影响规律。研究表明,增大上翼缘钢管含钢率和减小腹板高厚比均可明显提高该类梁的稳定承载力,而增强混凝土强度对梁的稳定承载力提高较小。

开槽侧板加强型连接梁柱节点子结构抗连续倒塌性能研究

为了优化侧板加强型节点的抗连续倒塌性能,提出了一种开槽侧板加强型梁柱连接节点形式。通过静力加载试验,得到了新型节点子结构的破坏模式、竖向抗力发展机制、应变分布、延性水平和动力承载力等。试验结果表明:钢梁翼缘在盖板附近首先开裂并向腹板外排螺栓中部延伸贯穿,导致竖向承载力快速下降为峰值荷载的20%左右。相比传统侧板加强型和圆弧扩盖板型梁柱节点,新型节点的峰值承载力分别提高了62.1%和19.6%,塑性弦转角分别提高了203.6%和25.8%。通过有限元分析得到了试件的断裂路径发展过程,进一步地通过参数化分析发现:扩大过焊孔构造对改善峰值后塑性弦转角及残余强度提升无明显作用;随着螺栓群远离钢梁翼缘起始断裂位置,最小残余强度比不断增大,但峰值后塑性弦转角呈先增大后减小的趋势;当螺栓群内移45mm时,峰值后塑性弦转角及最小残余强度比分别达到0.149rad和0.88,提高了38.2%和200.8%。

新型部分填充钢-混凝土组合梁受剪性能试验及有限元模拟研究

采用合理的材料本构关系,利用ABAQUS有限元软件建立足尺有限元模型,对新型部分填充钢-混凝土组合梁进行受剪承载力分析。结合试验研究,通过改变剪跨比、型钢强度等级、梁高度、型钢腹板厚度、翼缘栓钉间距等因素对新型组合梁组合截面受剪承载力进行了研究。结果表明,新型组合梁有较好的受剪承载力,混凝土强度等级和新型组合梁高度对峰值承载力的影响不显著,但混凝土显著提高了新型组合梁的整体稳定性;而新型组合梁高度每增加50mm,其峰值剪力值约提高7%~21%;型钢腹板厚度每增大2mm,新型组合梁峰值剪力就提高10%左右,腹板对其受剪承载力影响较大。运用叠加原理,结合腹板、翼缘内侧混凝土、翼缘栓钉和箍筋的受剪贡献,对《组合结构设计规范》(JGJ 138—2016)中组合梁截面受剪承载力计算公式进行了优化。结果表明,修正后的计算公式具有良好精度。

钢管混凝土柱-钢梁连接节点形式与研究进展

钢管混凝土结构体系中,梁柱节点的受力状态复杂,是结构体系中的关键连接部位,对结构的承载力、刚度以及稳定性能均有重要影响。对国内外钢管混凝土柱-钢梁连接节点的相关研究进行了全面的综述,总结了内加强型连接节点、外加强型连接节点、贯通式连接节点、螺栓连接节点等各类钢管混凝土柱-钢梁连接节点形式的特点和已有研究,从承载力、刚度、破坏模式、抗震性能、设计方法等方面对各类连接节点的优势和存在的问题进行了分析和归纳。旨在为钢管混凝土柱-钢梁连接节点的相关研究提供参考,促进钢管混凝土柱结构体系的研究和工程应用。

不同构造下的钢管混凝土柱-钢梁节点抗震性能研究

与普通节点不同,钢管混凝土柱-钢梁节点在地震作用下更容易发生破坏,为了提高钢管混凝土柱与钢梁连接节点的抗震性能,进行了不同构造下的钢管混凝土柱-钢梁节点抗震性能研究。以预埋锚杆构造的两种钢管混凝土柱-钢梁节点和钢梁穿透式构造的钢管混凝土柱-钢梁节点为研究对象,在梁体中部设置了横向支承,采用层间位移角控制周期性荷载,当地震荷载不同时,测试了3种构造钢管混凝土柱-钢梁连接节点的抗震性能。结果表明,钢梁穿透式构造的钢管混凝土柱-钢梁节点对地震具有较高的承载能力,弱化伸缩梁端节点的构造方法符合抗震设计要求,通过端板的屈曲可以消散大部分能量,具有强大的耗能能力。

钢管混凝土扁柱-钢梁节点抗震性能有限元分析

为避免钢框架结构中梁柱节点凸出墙体,文章提出一种钢管混凝土扁柱与钢梁节点,采用ABAQUS有限元模拟软件建立4个不同连接位置的钢管混凝土扁柱-钢梁节点的有限元模型,分析节点在低周往复荷载下的破坏模式和抗震性能;结果表明,所提出的节点构造可以实现梁柱刚性连接,所有节点均发生梁铰破坏,抗震性能和耗能能力良好。进一步研究轴压比、竖向隔板厚度和连接构造对节点抗震性能的影响规律,结果表明:随着轴压比的提高,柱端峰值承载力随之下降;减小柱内竖向内隔板的厚度会导致柱端承载力的降低;将盖板连接改为竖向加劲肋连接后,能有效缓解节点处柱壁的应力集中现象。

通号电化科创大厦超限高层结构设计

通号电化科创大厦结构高度121.35m,采用钢筋混凝土框架-核心筒结构体系。结构设计采用了钢管混凝土外框柱、密肋楼盖及双连梁以达到更优的建筑使用空间。结合地层情况及摩擦型桩基的特点,基础设计采用了考虑桩土共同作用的设计思路,分别通过国内规范考虑承台效应的方法及参考国外文献的方法对桩土分担比例做了计算并按其结果进行了应用。本工程有多项不规则项,为超限高层结构。采用YJK和ETABS软件对结构进行了静力弹性分析,两种软件的分析结果较为吻合且均满足规范要求。采用Perform 3D软件对结构进行了罕遇地震下的动力弹塑性分析,根据分析结果对结构在罕遇地震下的抗震性能进行了评估,结构能够满足罕遇地震下预期的抗震性能目标。钢管混凝土柱与混凝土梁的连接节点为本工程的关键节点,针对该连接节点以往做法存在的问题,本工程设计了一种开大孔的连接节点并进行了节点有限元分析,结果表明节点具有一定的安全储备。最后,对密肋楼盖的建模模拟情况及计算结果进行了讲述。