轮胎与地面接触问题的非线性有限元分析

考虑轮胎的材料非线性、几何非线性、橡胶帘线复合材料各向异性、以及橡胶材料本身的不可压缩特性等,分析了9．00R20子午线轮胎静态下与地面的接触问题,考察了不同下沉量、不同内压及静摩擦系数与因素对轮胎静态接地面内应力应变场的影响,得出了对工程设计有指导意义的结论。     

用声显微镜技术测量真实接触面积的研究

为了研究表面接触对润滑状态的影响，利用ＴＨＳＡＭ－５超声显微镜配以专门设计的辅助试验装置，测得了铝片－钢球的真实接触面积分别随载荷和加载时间变化的声学像，以及润滑剂的存在对测量结果的影响，发现真实接触面积是随着加载时间的延长而增大，而且载荷越大，真实接触面积越大，这是接触点发生塑性变形的结果。研究表明，声显微镜技术是测量真实接触面积的一种可行方法，但要将其作为一种定量测量手段却还有待于进一步的研究     

岩体结构面非线性弹性-塑性软化本构模型研究

在总结评述现有岩体结构面本构模型的基础上,将非线性弹性模型和弹塑性模型结合起来,并采用起伏角磨损演化方程来定量描述结构面的磨损软化,建立了岩体结构面非线性弹性-塑性软化本构模型.利用新建立的模型对岩体结构面直剪试验进行了预测,模型预测结果与试验结果吻合良好,验证了模型的有效性和模拟能力.该模型概念清晰,参数易于确定,能够合理描述岩体结构面的非线性变形、塑性软化、弹塑性耦合、剪胀和磨损等主要力学特性.     

Contact Transformation Group Classification of Nonlinear Wave Equations

Interest in nonlinear wave equations has been stimulated bynumerous physical applications, such as telecommunication (e.g.nonlinear telegrapher equation), gasdynamics, anisotropic plasticity andnonlinear elasticity, etc. Mathematical models of these phenomena canoften be reduced to particular types of the equation u _tt = f(x, u _x ) u _xx + g(x, u _x ). In this paper, the problem ofclassification of the latter equation with respect to admitted contacttransformation groups is reduced to the investigation of pointtransformation groups of the equivalent system of first-orderquasi-linear equations v _t =a(x, v)w _x , w _t = b(x,v)v _x .     

Interaction of a Supersonic Turbulent Wake with Acoustic Disturbances

The effect of an external acoustic field on disturbances in a supersonic turbulent wake is investigated experimentally.     

Investigation of Damage in Composites Using Nondestructive Nonlinear Acoustic Spectroscopy

The presented experimental work describes the nondestructive damage examination of polymer-matrix composites using acoustic methods under the consideration of nonlinear effects. The aim is to analyze these nonlinear effects in order to provide a quantification of the nonlinear acoustic transmission which is related to the damage state and its severity in the composite material. The first objective was to study the effectiveness of the distortion evaluation method and its related parameter: the “Total Difference Frequency Distortion” (TDFD) parameter. The TDFD was utilized as a new damage indicator to quantify the progressive damage state in composite materials. The TDFD method had initially been proposed to characterize the distortion of audio amplifiers. A custom-made setup was developed that imposes acoustic signals to the structure. The samples’ vibrations were afterwards analyzed by a laser vibrometer and further spectrum evaluations. The developed method was applied to two composite materials, both reinforced with taffeta woven glass-fibers, but having different thermoset polymer matrix, i.e. vinylester and epoxy. The damage was introduced in the specimen by tensile tests with a stepwise increase of the tension loading. It was observed that damage influences the intensity of nonlinear intermodulation after having introduced two harmonic and constant signals of different and randomly chosen frequencies in the specimen. The nonlinear intermodulation was then quantified by computing the TDFD parameter. In the specific case of epoxy based composites, high frequency peaks were noted for the high tensile loading levels only. The TDFD parameter was then modified in order to take into account this effect. For both studied composites, the modified TDFD parameter increases with the damage accumulation caused by the applied stepwise tensile loading.     

子午线轮胎接触变形的结构有限元分析

针对195／60R14子午线轮胎建立了三维非线性有限元模型，着重研究了额定充气压力及静载荷作用下帘线承受拉应力和剪应力的基本特征。计算结果表明，接地区域摩擦力呈斜对称分布，反映了轮胎中帘线-橡胶复合材料存在变形耦合效应；冠带层、带束层、胎体帘线应力分布较为复杂，载荷变化对其应力水平和分布影响较大；在胎肩部位应力较高，且随载荷变化局部帘线应力变化剧烈，在承受交变载荷时，易形成层间剥落。分析结果有助于预测轮胎的使用性能，可以针对性地应用于因轮胎结构设计引起的质量损坏，某些对轮胎使用性能不利的受力状态可通过结构的优化设计来克服。     

弹性波作用下压电体摩擦接触界面滑移特性分析

弹性波与压电体摩擦接触界面相互作用会引起界面滑移或分离,滑移和分离位置的分布与外加压力、剪力、电场及入射波的条件有关。应用Fourier分析及matlab软件给出了滑移范围的解,给出了粘着、滑移或分离的判定条件,通过算例分析了滑移和分离出现的影响因素和条件,为工程应用提供了理论依据。     

A Nonlinear Viscoelastic Contact Interphase Modeled as a Cosserat Rod-Like String

Journal of Elasticity - A nonlinear viscoelastic contact interphase is modeled using a Cosserat rod-like string. This Cosserat model is a rod with a deformable cross-section, but with no...     

偏心量对轴向碰摩系统弯扭耦合非线性振动特性影响的分析

对偏心量改变导致的轴向碰摩系统的弯扭耦合非线性振动特性的变化进行了初步研究。建立了转静子耦合系统计算模型,利用数值积分和Poincare映射方法,对转子系统由于轴向碰摩故障导致的非线性动力学行为进行了数值仿真研究,给出了系统响应随偏心量变化的分岔图和一些典型的Poincare截面图、相轨图、轴心轨迹、幅值谱图和时域响应等。研究结果表明:偏心量是激起碰摩的一个主要因素,且系统响应对偏心量的变化比较敏感,随偏心量的增加,系统的响应将呈复杂化;碰摩发生后,振动响应的主要成分为1/3、1/2、2/3和1倍频,但各成分的存在与否与偏心量大小有关,有时会导致高阶频率成分的出现;碰摩发生后时域波形和轴心轨迹有明显的改变;分岔图是判别系统是否碰摩的有效工具;转、静子的扭转振动响应,对碰摩的发生和消失表现得更为明晰和精确,且其特征也不同于已知的其它故障类别,尤其是静子机匣,故应用扭转振动特性来监测和诊断碰摩故障是可取的;依据单一的振动谱图分析系统的特征较为困难,甚至有可能误判,因此应结合几种谱图综合判断。     

Modelling Shock/Boundary-Layer Interaction with Nonlinear Eddy-Viscosity Closures

An investigation is reported of several nonlinear eddy-viscosity models, both from a fundamental point of view and as a basis for resolving turbulence transport in transonic flows, with particular emphasis placed on shock-induced separation. The models are first analyzed by reference to a homogeneous shear flow and a plane channel flow, after which they are applied to two transonic flows with strong shock-wave/boundary-layer interaction including separation. The computational results demonstrate that nonlinear models with coefficients appropriately sensitized to strain and vorticity invariants, yield results which are superior to a standard linear low-Re k– model often claimed to give the best predictive performance among low-Re k– models which do not contain ad-hoc corrections. While this superior performance is partly associated with the functional dependence of the linear coefficient on strain and vorticity, this cannot be separated from the role of at least some nonlinear terms which interact with that coefficient, especially in complex strain fields featuring large streamline curvature and irrotational straining.     

孤立波与多孔介质结构物的非线性相互作用

基于精确至Ｏ（εμ＾２,μ＾４）的多孔介质无压渗流模型方程和均匀流体质波动的Ｂｏｕｓｓｉｎｅｓｑ方程,本文对孤立波与多孔介质结构物的相互作用了较系统的数值实验。控制方程采用基于有限差分方程离散,在时域上采用了预估－校正方法进行了时间积分。在求解演化方程的过程中,引入“内迭代”过程实现流体域和多孔介质交界面的连接条件。结果表明孤立波在多孔介质上的反射与在不可渗透的界面上的反射类似,形成反向的孤立波但     

The Crack-Inclusion Interaction and the Analysis of Singularity for the Horizontal Contact

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非线性流固耦合问题的ALE分步有限元数值方法

推导了一种基于ALE（Arbitrary Lagrangian-Eulerian,即任意的拉格朗日-欧拉）描述下的带有自由液面不可压液体与运动结构非线性耦合问题的一种有限元数值计算方法,在时间域上采用分步格式计算,这种方法与混合插值方法比较其优点是速度和压力可使用同阶线性插值,给数值计算带来很大方便,将所得到的方法应用到结构与TLD（调谐式（液体阻尼器）装置之间的耦合问题,数值计算结果验证了本文所推导的方法。     

激光激发表面波与亚表面缺陷作用的理论研究

为了研究激光激发表面波与亚表面缺陷的作用机理,实现激光超声技术对该类型缺陷的定量检测,论文基于激光超声热弹机制,采用有限元方法模拟了激光激发表面波与亚表面矩形缺陷之间的相互作用,进而探讨缺陷的埋藏深度及其纵向尺寸对表面波的影响。首先模拟了激光激发表面波与矩形缺陷前沿（波与缺陷最先作用的纵向边沿）的相互作用,分析了埋藏深度对波形的影响,提取了缺陷作用的散射回波特征并分析其成因。然后对一定的缺陷埋藏深度,通过改变缺陷纵向尺寸,计算和分析了纵向尺寸对散射回波特征的影响。研究结果表明,散射回波的特征点到达时间与缺陷的埋藏深度和纵向尺寸有关,可能由此实现其反问题缺陷纵向尺寸的估算。     

Nonlinear Random Response of Cylindrical Panels to Acoustic Excitations Using Finite Element Modal Method

This paper investigates large amplitude multi-mode free vibration andrandom response of thin cylindrical panels of rectangular planform usinga finite element modal formulation. A thin laminated composite doublycurved element is developed. The system equation in structural nodal DOFis transformed into the modal coordinates by the using the modes of theunderlying linear system. The nonlinear stiffness matrices are alsotransformed into nonlinear modal stiffness matrices. Numericalintegration is employed to determine free vibration and random response.Single-mode free vibration results are compared with existing classicalanalytical solutions to validate the nonlinear modal formulation.Nonlinear random analysis results for cylindrical panels have shown thatthe root mean square of panel deflections could be larger than thoseobtained using the linear structure theory. Time histories, probabilitydistribution functions, power spectral densities, and phase plane plotsare also presented.     

Vibrations of a Floating Elastic Plate Upon Nonlinear Interaction of Flexural-Gravity Waves

The method of many scales was used to construct an asymptotic expansion up to thirdorder terms for the velocity potential of a fluid of finite depth and the flexural deformations of a floating elastic plate arising from the interaction of harmonics of finite-amplitude progressive surface waves. An expression for the second-harmonic amplitude was obtained, and critical values of the wavenumber were determined. Vibrations of plates with different thicknesses and elastic modulus were analyzed. Vertical displacements of the plate under flexural deformation were studied.     

Contact Interaction Between a Laminated Shell of Revolution and a Rigid or Elastic Foundation

A method is proposed to solve the contact problem for laminated anisotropic shells of revolution. The method is based on a two-dimensional model that accounts for transverse shears and reduction. Also the method is based on the method of successive approximations, the generalized pseudo-force method, and a numerical-analytical method of solving boundary-value problems. The results obtained for a cylindrical shell of complex thickness structure are compared with those obtained in three-dimensional formulation__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 5, pp. 68–75, May 2005.