多边形截面薄壁管撕裂卷曲吸能研究

对薄壁管在准静态载荷下的卷曲撕裂进行了理论分析,并采用显示有限元方法进行了数值模拟。通过分析薄壁管的撕裂能、塑性变形能和摩擦能,讨论了冲头的锥形角、壁厚以及边数等因素对结构吸能的影响。     

正多边形基多胞薄壁管的吸能特性

多胞薄壁结构具有轻量化、高比吸能的特点,在汽车、轮船、航空航天等领域得到了广泛的应用。已有研究表明结构的耐撞性与结构的拓扑方式及胞元数量密切相关。为了研究结构形状和拓扑优化对其吸能效果的影响,基于正多边形结构,通过内嵌多边形和外接圆管的方式设计了两类新型多胞薄壁结构,并对这两类多胞薄壁结构进行准静态和落锤冲击实验,利用高速相机记录结构的变形模式,并定量分析了结构的吸能特性。实验结果表明：除正三角形二级内嵌四边形所得结构在准静态加载实验后期出现了局部失稳现象外,其余结构在准静态和落锤冲击实验过程中均保持垂直受压,结构变形模式与吸能效果较好。通过比较两类结构的实验结果得出：不论是在准静态加载还是在落锤冲击的情况下,内嵌多边形结构的各项吸能指标都明显优于外接圆管的结构;同等质量的情况下,内嵌四边形结构的吸能效果明显优于内嵌三角形的结构。

     

Low-velocity impact of rectangular foam-filled fiber metal laminate tubes

Applied Mathematics and Mechanics - Through theoretical analysis and finite element simulation, the low-velocity impact of rectangular foam-filled fiber metal laminate (FML) tubes is studied in...     

Partition energy absorption of axially crushed aluminum foam-filled hat sections

The “interaction effect” between aluminum foam and metal column that takes place when foam-filled hat sections (top-hats and double-hats) are axially crushed was investigated in this paper. Based on experimental examination, numerical simulation and analytical models, a systemic approach was developed to partition the energy absorption quantitatively into the foam filler component and the hat section component, and the relative contribution of each component to the overall interaction effect was therefore evaluated. Careful observation of the collapse profile found that the crushed foam filler could be further divided into two main energy-dissipation regions: densified region and extremely densified region. The volume reduction and volumetric strain of each region were empirically estimated. An analytical model pertinent to the collapse profile was thereafter proposed to find the more precise relationship between the volume reduction and volumetric strain of the foam filler. Combined the superfolding element model for hat sections with the current model according to the coupled method, each component energy absorption was subsequently derived, and the influence of some controlling factors was discussed. According to the finite element analysis and the theoretical modeling, when filled with foam, energy absorption was found to be increased both in the hat section and the foam filler, whereas the latter contributes predominantly to the interaction effect. The formation of the extremely densified region in the foam filler accounts for this effect.     

Temperature in circular tubes with azimuthal disuniform heating

This paper provides an analytical solution to the heat conduction equation in a circular tube, with internal convective boundary conditions and asymmetrical heat supply (with a diametral plane symmetry) on its cylindrical external surface. The two dimensional steady state solution is obtained by means of the finite Fourier transform and expressed in terms of the Biot number. Numerical results and graphs are given for some form of heat supply.

---

Temperaturverteilung in runden Rohren mit azimuthal ungleichförmiger Beheizung

Zusammenfassung Der Aufsatz vermittelt eine analytische Lösung der Gleichung für die Wärmeleitung in einem Rohr mit inneren konvektiven Randbedingungen und asymmetrischer Wärmezufuhr auf der äußeren Zylinderoberfläche (mit Symmetrie in der Diametralebene). Die zweidimensionale Lösung für den stationären Zustand ergab sich mit Hilfe der finiten Fourier-Transformation und wird dargestellt in Abhängigkeit der Biot-Zahl. Numerische Ergebnisse und Diagramme werden für einige Formen der Wärmezufuhr gegeben.

---

Nomenclature a dimensionless inner radius,R _i/R₀ - Bi Biot number,h R _o/K - h coolant heat transfer coefficient - K thermal conductivity - q heat flux - r dimensionless radial coordinate - R _i inside tube radius - R _o outside tube radius - T dimensionless temperature (-T _B¦(R_oq/K) - T _B coolant bulk temperature - U Heaviside step function - Dirac delta function - azimuthal coordinate - temperature     

含诱导缺陷薄壁圆管耐撞性优化设计

运用移动最小二乘曲面拟合技术和遗传算法优化技术,建立一套完整的结构耐撞性优化设计技 术。设计了一个具有高效吸能能力的薄壁圆管结构含诱导缺陷薄壁圆管结构,给出了含缺陷薄壁圆管结 构耐撞性优化设计结果。结果显示,设计的薄壁圆管结构具有好的吸能效果,该结构设计简单,便于在结构设 计中使用。     

Two-dimensional turbulence in square and circular domains with no-slip walls

Several fascinating phenomena observed for 2D turbulence in bounded domains are discussed. The first part of this paper concerns a short overview of the non-trivial behaviour of freely evolving 2D turbulence in square domains with no-slip boundaries. In particular, the Reynolds number dependence of, and the influence of the initial conditions on spontaneous spin-up of the flow, which is characterised by a sudden increase of the absolute value of the angular momentum of the flow, is investigated in more detail. In a second set-up we have investigated forced 2D turbulence in circular containers with no-slip walls. A comparison with the double periodic case reveals that domain-filling structures, always observed in the double periodic cases, are being prevented from emerging. Wall-generated, small-scale structures are continuously injected into the interior of the domain, destroying larger structures and maintaining the turbulent flow field.     

Optimum design of laminated composite foam-filled sandwich plates subjected to strength constraint

Optimum design of laminated composite sandwich plates with both continuous (core thickness) and discrete (layer group fiber angles and thicknesses) design variables subjected to strength constraint is studied via a two-level optimization technique. The strength of a sandwich plate is determined in a failure analysis using the Tsai–Wu failure criterion and the finite element method which is formulated on the basis of the layerwise linear displacement theory. In the first level optimization of the design process, the discrete design variables are temporarily treated as continuous variables and the corresponding minimum weight of the sandwich plate is evaluated subject to the strength constraint using a constrained multi-start global optimization method. In the second level optimization, the optimal solution obtained in the first level optimization is used in the branch and bound method for solving a discrete optimization problem to determine the optimal design parameters and the final weight of the plate. Failure test of laminated composite foam-filled sandwich plates with different lamination arrangements are performed to validate the proposed optimal design method. A number of examples of the design of laminated composite foam-filled sandwich plates are given to demonstrate the feasibility and applications of the proposed method.     

Biaxial testing of composite tubes

The development of a tubular test specimen for the characterization of advanced composite-material lamina and laminate mechanical properties is presented. The specimen design and supporting analyses are given for a practical tubular specimen that minimizes end effects. Test results for simplified loading conditions are shown to be in good agreement with values obtained in other tests. Failure strains in laminates are higher than those obtained in comparable flat-coupon tests. The results obtained indicate that the specimen and apparatus are useful for obtaining response properties and failure values under general in-plane loading.     

可控薄弱环节复合材料圆柱壳的耐撞性研究

为了验证SMA可控薄弱环节的效果,制作了含有与不含有SMA丝的玻璃/环氧复合材料圆柱壳试验件,并对其进行了准静态轴向压缩试验,比较了各种试件的峰值载荷、平均载荷以及吸能能力。试验结果表明,可控薄弱环节不但可以降低试件的峰值载荷,而且能够改善复合材料结构的耐撞性能,有望解决传统复合材料吸能结构设计中静强度(刚度)与耐撞性之间的矛盾问题。     

Buckling life estimation of circular tubes under cyclic bending

In this paper, an experimental investigation of the degradation and buckling of circular tubes subjected to cyclic bending is discussed. The machinery specimens (with different diameter-to-thickness ratios but the same inside diameter) and method of testing (cyclic bending) in this study were the same as the ones used by Lee et al. (Lee, K.L., Pan, W.F., Kuo, J.N., 2001. The influence of the diameter-to-thickness ratio on the stability of circular tubes under cyclic bending. International Journal of Solids and Structures 38, 2401–2413.) for 316L stainless steel circular tubes. The experimental investigation was extended to different outside and inside diameters of the same circular tubes subjected to cyclic bending. Based on the experimental findings, the empirical formulation proposed by Lee et al. (2001) was modified so that it can now be used to simulate the relationship between the prescribed curvature and the number of cycles necessary to produce buckling. In addition, it was found that the experimental curve of the ovalization and the number of cycles necessary to produce buckling could be divided into three stages – an initial, secondary and tertiary stage. An empirical relationship, similar to the Bailey–Norton creep formulation, was proposed for simulating the aforementioned curve for the initial and secondary stages in this study. The derived empirical relationship was in good agreement with the experimental data.     

Finite elastic deformations of transversely isotropic circular cylindrical tubes

We consider the finite radially symmetric deformation of a circular cylindrical tube of a homogeneous transversely isotropic elastic material subject to axial stretch, radial deformation and torsion, supported by axial load, internal pressure and end moment. Two different directions of transverse isotropy are considered: the radial direction and an arbitrary direction in planes normal locally to the radial direction, the only directions for which the considered deformation is admissible in general. In the absence of body forces, formulas are obtained for the internal pressure, and the resultant axial load and torsional moment on the ends of the tube in respect of a general strain-energy function. For a specific material model of transversely isotropic elasticity, and material and geometrical parameters, numerical results are used to illustrate the dependence of the pressure, (reduced) axial load and moment on the radial stretch and a measure of the torsional deformation for a fixed value of the axial stretch.     

The torsion of composite tubes and cylinders

Exact solutions are presented for the Saint-Venant torsion of circular tubes and solid cylinders which are reinforced by cylindrical inclusions of different material equally spaced around a concentric circle. The problems simulate those encountered in matrix rods reinforced by longitudinal fibers, and also in corresponding problems of reinforced concrete. Formulae are obtained for the boundary stress distributions and the torsional rigidities.Stress function formulations are made for the torsion of cylinders having multiply connected composite sections. Two systems of polar coordinates are employed, and use is made both of periodicity and symmetry. Three degenerate cases—the respective torsion of a homogeneous tube, ring of circular rods and tube with eccentric circular holes—are deduced for checking purposes. Several numerical examples are worked out and the results presented in tabular and graphical forms.     

负高斯曲率曲面薄壁管吸能特性研究

为设计出具备优良吸能特性的薄壁结构,提出一种新型负高斯曲率曲面圆形横截面薄壁管(negative Gaussian curvature surface circular tube, NGC-C)。利用经验证的有限元分析方法对其进行轴向动态冲击模拟,提取各项性能指标,借助复杂比例评估法(complex proportion assessment, COPRAS)将其与传统薄壁吸能结构进行了综合性能对比。采用拉丁超立方抽样法从设计空间中提取样本点并获取各样本点对应性能响应值,建立代理模型。基于该代理模型,借助改进非支配排序遗传算法(non-dominated sorting genetic algorithm, NSGA-Ⅱ)对其进行了多目标优化设计。结果表明：NGC-C综合性能优于传统薄壁吸能结构,经优化后比吸能提高了16.47%,有效压溃长度降低了12.40%,质量减少了20.18%。将负高斯曲率曲面形态引入薄壁管构型,能够提高薄壁管的耐撞性和轴向抗变形能力。

     

Yield anisotropy effects on buckling of circular tubes under bending

Relatively thin-walled tubes bent into the plastic range buckle by axial wrinkling. The wrinkles initially grow stably but eventually localize and cause catastrophic failure in the form of sharp local kinking. The onset of axial wrinkling was previously established by bifurcation analyses that use instantaneous deformation theory moduli. The curvatures at bifurcation were predicted accurately, but the wrinkle wavelengths were consistently longer than measured values. The subject is revisited with the aim of resolving this discrepancy. A set of new bending experiments is conducted on aluminum alloy tubes. The results are shown to be in line with previous ones. However, the tubes used were found to exhibit plastic anisotropy, which was measured and characterized through Hill’s quadratic anisotropic yield function. The anisotropy was incorporated in the flow theory used for prebuckling and postbuckling calculations as well as in the deformation theory used for bifurcation checks. With the anisotropy accounted for, calculated tube responses are found to be in excellent agreement with the measured ones while the predicted bifurcation curvatures and wrinkle wavelengths fall in line with the measurements also. The postbuckling response is established using a finite element model of a tube assigned an initial axisymmetric imperfection with the calculated wavelength. The response develops a limit moment that is followed by a sharp kink that grows while the overall moment drops. The curvature at the limit moment agrees well with the experimental onset of failure. From parametric studies of the various instabilities it is concluded that, for optimum predictions, anisotropy must be incorporated in both bifurcation buckling as well as in postbuckling calculations.     

Behaviour of thick composite tubes considering of delamination

The present paper deals with plane finite element analysis of thick composite tubes. Thick composite tubes are commonly used in marine industry and in deep-water offshore applications. Two kinds of interlaminar delamination type defect in a thick walled cylinder subjected to external pressure were confronted; an annular or ring like delamination and a strip delamination. Two finite element models were developed to predict the strain energy release rate at the delamination fronts. In these models the effects of the processing history of the composite material in the form of a uniform thermal load were also included to simulate the state of the residual stress in the composite. The considered defects are studied by means of the effect of buckling, investigating the annular and the strip delamination buckling, and the subsequent loss of load carrying capacity of the delaminated region.     

Possible existence of weak contact discontinuities in circular shock tubes

Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 173–175, May–June, 1993.     

横向爆炸载荷下薄壁圆管的动态响应

采用实验研究、理论分析和有限元模拟相结合的方法,研究了横向爆炸载荷作用下薄壁圆管的动态响应。利用弹道冲击摆锤系统,对圆管在爆炸载荷下的动力响应进行了实验研究,分析了薄壁圆管的变形模式;基于地基梁模型,建立了横向爆炸载荷作用下圆管跨中挠度的理论模型,并进行了无量纲化;通过有限元模拟,分析了圆管的几何参数对其变形模式和跨中挠度的影响,并与理论结果进行了对比。研究结果表明：随着TNT药量增加圆管的变形区域和跨中挠度增大;圆管的长径比、厚度及爆炸载荷参数对圆管的变形模式有较大影响;理论预测、有限元模拟结果与实验结果吻合较好。