具有区间峰值的曲面伸缩因子及其实验

为了改进参数曲面自由变形方法,构造了一种新的伸缩因子函数,它不仅具有以往文献所引入的伸缩因子的特性,还可以在区域上达到峰值,从而克服现有的伸缩因子仅在一点达到峰值的不足。使用新的伸缩因子去作用待变形的曲面方程,从而使曲面发生形变,通过交互改变控制参数来控制曲面的形状,使其能够更好地表示一些实体的外型。实验表明,该方法数学背景简单,易于控制,重复使用可获得丰富的变形效果。适用于几何造型、计算机动画、CAD/CAM等领域。     

Space Deformations, Surface Deformations and the Opportunities In-Between

In recent years we have witnessed a large interest in surface deformation techniques. This has been a reaction that can be attributed to the ability to develop techniques which are detail-preserving. Space deformation techniques, on the other hand, received less attention, but nevertheless they have many advantages over surface-based techniques. This paper explores the potential of these two approaches to deformation and discusses the opportunities that the fusion of the two may lead to. Electronic Supplementary Material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

虚拟手术仿真中人体软组织形变技术的研究

对虚拟手术仿真中人体软组织形变技术进行深入研究,利用OpenGL三维图形标准建立了基于质点-弹簧物理模型的虚拟人体软组织形变系统。围绕虚拟手术仿真中人体软组织形变的逼真度和实时性两大要素展开研究,通过对比四边形网格结构提出了改进的基于质点-弹簧模型的正六边形几何拓扑结构,并对软组织形变动力学模型及其数值积分算法、软组织形变力反馈计算模型进行了讨论,针对以往的虚拟手术器械与软组织表面接触时作用点的最近邻质点求取算法存在的不足,提出了改进的求取算法。实验结果表明,改进的算法在模拟软组织形变时具有较好的稳定性和实时性。     

Identification of parameters in a dynamic problem of elasticity for a body with an inclusion

Explicit expressions for gradients of residual functionals are obtained for the identification of the parameters of elastic dynamic deformation of multicomponent bodies by gradient methods. The technique is based on the solutions of conjugate problems found using the theory of optimal control over states of multicomponent distributed systems that is developed by the authors. Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 75–97, May–June 2OO9.     

起重机主梁腹板变形自动矫正执行器设计

起重机主梁生产线中下盖板与形梁组对时,用人工矫正方法矫正腹板波浪变形会在主梁腹板上留下焊疤,并增加没有附加值的打磨操作。为了改善这一状况,并高效配合机器人实施定位焊,采用磁力吸附原理进行腹板变形的自动矫正。首先对形梁腹板变形进行测量,并拟合出变形曲线,不同格子间的变形均为凹变形,最大变形值为24mm。接着利用有限元方法分析了磁铁布置方式对矫正效果的影响:在同样的磁铁吸附应力和布置方式下,大筋板间的间距越大,矫正效果越明显;而在同样的大筋板间距下,初始凹变形小有利于矫正;对所有的格子间,永磁铁距腹板下边缘越近,矫正效果越明显,同样的磁铁(长宽比大于1),横放比竖放的矫正效果明显。最后研发了自动矫正执行器的物理样机,其由吸附单元、推拉单元、结构单元、传感单元和控制单元组成,并进行了现场试验,测试结果满足矫正工艺的精度要求(±2mm),同时也验证了有限元分析结果的准确性。主梁腹板变形自动矫正执行器的研制实现了腹板变形识别、腹板临时连接的建立、矫正过程力感知和矫正运动可控。该装置实现了机器人定位焊前的腹板变形自动矫正,对前道工序的焊接工艺优化具有一定意义。     

Mechanical behaviour analysis of buried pressure pipeline crossing ground settlement zone

Numerical simulation model of buried pipeline crossing ground settlement zone was established considering pipeline–soil interaction. Mechanical behaviour of the buried pipeline was investigated, and effects of ground settlement, pipeline parameters and surrounding soil parameters on mechanical behaviour of the buried pipeline were discussed. These results show that there are two high stress areas on both sides of the dividing plane. High stress areas are oval on the top and bottom of the pipeline. Z-shape bending deformation appears under the action of ground settlement. In ground settlement zone, axial strain on the top of the pipeline is compression strain, and axial strain on the bottom of the pipeline is tension strain. On the contrary, they are tension strain and compression strain respectively in no settlement zone. Bending deformation, axial strain and plastic strain of the buried pipeline increase with the increase in ground settlement. Von Mises stress, high stress area, axial strain and plastic strain of the buried pipeline increase with the increasing diameter-thick ratio and internal pressure, but they decrease with the increase in buried depth. Diameter-thick ratio and internal pressure have a small effect on the bending deformation of the buried pipeline. Bending deformation decreases with the increase in buried depth in ground settlement zone. Von Mises stress and high stress area increase with the increasing surrounding soil’s elasticity modulus and cohesion, but they increase first and then decrease with the increase in Poisson’s ratio. Bending deformation of the pipeline in no settlement zone increases with the increase in elasticity modulus and Poisson’s ratio, but it is affected little by the cohesion. Axial strain and plastic strain have a bigger relationship with the elasticity modulus and Poisson’s ratio. Axial strain and plastic strain of the buried pipeline increase with the increase in cohesion, and the change rates increase with the increase in ground settlement.     

Dynamic response of Kevlar®29/epoxy laminates under projectile impact-experimental investigation

This authors of this article investigated the dynamic response of woven Kevlar®29/epoxy laminates subjected to the impact loading. The cylindrical aluminum foam projectile and steel projectile were used to exert the impulse on the laminates. Deformation/failure modes, deflections, strain histories, and failure mechanisms were obtained and discussed. The results showed that with the high toughness of Kevlar fiber, the deformation modes of the laminates exhibited some characteristics similar to the metal panel, such as large global deformation. The failure mechanisms like matrix failure, fiber splitting, and fibrillation were observed. These micron failures led to the macroscopic delamination and fracture of the laminates.     

Wave propagation in functionally graded nanocomposites reinforced with carbon nanotubes based on second-order shear deformation theory

In the present article, as a first endeavor, the wave propagation in functionally graded nanocomposites reinforced with carbon nanotubes is investigated on the basis of second-order shear deformation theory. Four different types of functionally graded nanocomposites are presented. An analytical method is used to find the circular frequencies and phase velocities. To show the accuracy of the present methodology, our results for the free vibration are compared with the results of functionally graded plates available in the literature. The influences of different parameters are also investigated on the circular frequencies and phase velocities.     

An analytical procedure for dynamic response determination of a viscoelastic beam with moderately large deflection using first-order shear deformation theory

In this article, the dynamic response of a viscoelastic beam with moderately large deflection subjected to transverse and axial loads is studied using the first-order shear deformation theory. The von-Karman strain displacement relations and Hooke's law are used for formulation. The solution of the equations, which are a system of nonlinear partial differential equations, are obtained analytically using the perturbation technique in conjunction with the eigenfunction expansion method. The results are compared with the finite elements method. Also, a sensitivity analysis is performed, and the effects of geometrical and material properties are investigated on the response.     

Integration of geometric variation and part deformation into variation propagation of 3-D assemblies

This paper introduces a novel modelling method for variation propagation calculation of 3-D assemblies taking into account geometric variation and part deformation, which are neglected in most models in tolerance analysis. Initially, numerical studies are carried out in order to illustrate the characteristics of strain distribution in components and contact forces on the mating surfaces of a 3-D assembly. According to these characteristics, a linear equivalent model using springs to represent the elastic mating surfaces with geometric variation was presented. Then, the equilibrium criterions corresponding to actual contact situations and iterative searching algorithm of the equilibrium status of contacting were developed. The proposed modelling and calculation method were finally applied to the assembly of two machined parts, on which finite-element analyses and experimental tests were conducted to validate the effectiveness and accuracy. This linear contact model also shows an important advantage on modelling and calculating efficiency, which enable the practical application to variation propagation calculation in both tolerance design and assembly process.