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1.
基于所有接触面间光滑的假设,研究了同时受压的功能梯度层与弹性层间的单退让平面接触问题.假设功能梯度层是各向同性的非均匀材料,其剪切模量按照指数函数形式变化.利用Fourier积分变换把问题转化为求解奇异积分方程.然后利用Gauss-Chebyshev求积公式和迭代法得到下层接触应力和退让接触半径的数值解.最后在数值算例中,分别讨论了两层间的厚度比值,功能梯度层的硬度参数,以及上层接触半径对退让接触半径与下层接触应力的影响.  相似文献   

2.
曲线半径对钢轨磨损影响的数值计算与试验分析   总被引:2,自引:1,他引:1  
用数值计算方法详细分析了静态接触情况下,轮轨接触质点间蠕滑力、黏滑区的分布和摩擦功随曲线半径的变化,利用模拟试验研究了曲线半径对钢轨试样磨损特性的影响.结果表明:钢轨磨损量随曲线半径的增大呈非线性减小,在小于1 200 m的小曲线半径范围内,钢轨磨损量值随曲线半径的减小而急剧增大;随着曲线半径的增大,轮轨接触斑中最大滑动量逐渐减小,滑移区的面积减小,而黏着区的面积增大;轮轨接触斑上摩擦功随曲线半径的增大呈非线性的减小.  相似文献   

3.
功能梯度材料涂层半空间的轴对称光滑接触问题   总被引:2,自引:0,他引:2  
求解了功能梯度材料涂层半空间的轴对称光滑接触问题,其中梯度层剪切模量按照线性变化,利用Hankel积分变换方法求解微分方程,将问题化为具有Cauchy型奇异核的积分方程.数值方法求解表明:功能梯度材料涂层半空间在刚性柱形压头和球形压头作用下,接触表面分布应力,接触半径以及最大压痕受材料梯度效应的影响较大.  相似文献   

4.
热电材料可以将热能转化为电能,反之亦然,这一优良的性质将有助于研发更具成本效益的设备和器件。本文研究了刚性圆形压头作用在热电材料半平面的无摩擦接触问题。假定压头为电导体、热导体,且压头压入深度及与材料的接触区域宽度未知。首先求解电场和温度场,利用傅里叶变换得到了电势函数、温度、电流密度和能量通量的解析表达式。然后求解弹性场,利用积分变换和边界条件,将该热弹性接触问题转化为第一类奇异积分方程并数值求解。数值结果讨论了压头半径和热电载荷对法向接触应力、电流强度因子和能量通量强度因子的影响。结果表明,对于圆压头,热电材料的法向电流密度、法向能量通量在接触边缘表现出奇异性,而表面法向接触应力在接触边缘为零。本文建立的研究模型有助于更深层次的了解热电材料的接触行为。  相似文献   

5.
论文研究了一类含两个内部质量块的振动驱动系统在异性粘性摩擦下的平面运动,其中两个质量块在刚体内部相互垂直的水平槽道上作三相运动.利用第二类拉格朗日方程,建立了系统的动力学方程;其次,利用系统直线运动时的理论解,验证了速度Verlet积分法的可靠性;然后,利用这种数值方法分析了系统的平面运动,得到了内部驱动参数与系统运动轨迹、运动速度的关系;最后,通过调节内部驱动的周期比和相位,得到了系统轨迹在直线和圆弧间相互切换的六种平面运动形式.  相似文献   

6.
本文利用波函数展开法和奇异积分方程技术研究了SH型反平面剪切波作用下埋藏刚性椭圆柱与周围介质部分脱胶时的动力特性,将脱胶区看作表面不相接触的椭圆弧形界面裂纹,利用波函数展开法,并引入裂纹位错密度函数为未知量,将问题归结为奇异积分方程。通过数值注解积分方程获得了远场和近场物理参量,度讨论了共振特性和各参数对共振的影响。  相似文献   

7.
本文利用波函数展开法和奇异积分方程技术研究了SH型反平面剪切波作用下埋藏刚性椭圆柱与周围介质部分脱胶时的动力特性.将脱胶区看作表面不相接触的椭圆弧形界面裂纹,利用波函数(Mathieu函数)展开法,并引人裂纹面的位错密度函数为未知量,将问题归结为奇异积分方程,通过数值求解积分方程获得了远场和近场物理参量,并讨论了共振特性和各参数对共振的影响.  相似文献   

8.
孟莹  丁虎  陈立群 《力学学报》2021,53(11):2950-2960
基于圆板的压电能量采集技术在取代化学电池为低功耗电子器件提供能源方面具有巨大的潜能. 本文通过理论建模和数值仿真研究了考虑附加质量接触面积的压电圆板能量采集器的采集性能. 首先, 基于基尔霍夫薄板理论, 用广义哈密顿原理推导了带附加质量块的压电圆板能量采集器的机电耦合方程, 并用伽辽金法对方程近似离散, 通过离散方程得到电压、功率输出和最优负载阻抗的闭合解. 用有限元仿真对所提出的理论模型进行了验证, 结果表明该理论模型可以成功地预测压电圆板能量采集器输出电压和功率. 最后, 基于闭合解探讨了负载阻抗、附加质量块、压电圆板的内外半径等相关参数对压电圆板能量采集器固有频率、输出电压和功率的影响. 结果表明, 当质量块与复合板的接触半径足够小(本文中接触半径小于板半径的1/14)时, 质量块与复合圆板的接触面积可以忽略; 相较于无孔的压电片, 内径位于2.5 ~ 4 mm范围内的压电片可以提高能量采集器的采集性能; 附加质量、压电片外径和负载阻抗的合理选择既可以降低压电圆板的固有频率, 还可以提高其采集性能.   相似文献   

9.
王晓军  吕敬  王琪 《力学学报》2019,51(1):209-217
基于LuGre摩擦模型和线性互补问题(LCP)的数值算法,给出了具有双边约束含摩擦滑移铰平面多体系统动力学的数值算法.首先,根据滑移铰的特点,当间隙充分小时,将其视为双边约束,给出了滑移铰中滑道作用于滑块上的法向接触力的互补关系;LuGre摩擦模型能有效地描述机械系统中的黏滞与滑移运动,将该模型用于描述滑块与滑道间的摩擦力.其次,结合Baumgarte约束稳定化方法,应用第一类Lagrange方程,建立了该多体系统的动力学方程,给出了Lagrange乘子与滑移铰中作用于滑块上的法向接触力的关系式.然后,将滑块与滑道间多种接触状态的判断以及作用于滑块上的法向接触力的计算转换为线性互补问题的求解,并用常微分方程的数值算法求解该多体系统的动力学方程.最后,通过数值仿真算例揭示了滑移铰中滑块的黏滞与滑移现象,以及滑块在滑道内的多种接触状态;另外,在文中分别采用Coulomb干摩擦模型和LuGre摩擦模型,对算例中的某些工况进行了数值仿真,并且分别用本文方法得到的数值仿真结果与已有方法得到的数值仿真结果对比,表明了本文给出的方法的有效性.   相似文献   

10.
圆柱形微凹坑排布形式对织构表面摩擦性能的影响   总被引:1,自引:0,他引:1  
王洪涛  朱华 《摩擦学学报》2014,34(4):414-419
利用数值模拟方法研究了具有微圆柱凹坑织构平面在往复运动下的摩擦学性能,分析了微圆坑深度、半径和织构单元位置偏移率等织构几何参数以及表面间相对运动速度对摩擦力和动压承载能力的影响.结果表明:织构单元位置偏移率由0增加到0.5时摩擦表面间的动压承载能力最大增幅约34.9倍,同时摩擦力也随着位置偏移率的增加而小幅增加;增加微织构单元半径可以同时提升承载能力和减小摩擦;而摩擦力和承载能力均随着微织构单元深度在10~60μm区间的增加呈现先增加后减小的趋势,且均在20μm时取得最大值.  相似文献   

11.
In this paper, we consider the plane problem of a frictionless receding contact between an elastic functionally graded layer and a homogeneous half-space, when the two bodies are pressed together. The graded layer is modeled as a nonhomogeneous medium with an isotropic stress–strain law and over a certain segment of its top surface is subjected to normal tractions while the rest of this surface is free of tractions. Since the contact between the two bodies is assumed to be frictionless, then only compressive normal tractions can be transmitted in the contact area. Using integral transforms, the plane elasticity equations are converted analytically into a singular integral equation in which the unknowns are the contact pressure and the receding contact half-length. The global equilibrium condition of the layer is supplemented to solve the problem. The singular integral equation is solved numerically using Chebychev polynomials and an iterative scheme is employed to obtain the correct receding contact half-length that satisfies the global equilibrium condition. The main objective of the paper is to study the effect of the material nonhomogeneity parameter and the thickness of the graded layer on the contact pressure and on the length of the receding contact.  相似文献   

12.
In this paper, we consider the axisymmetric problem of a frictionless receding contact between an elastic functionally graded layer and a homogeneous half-space, when the two bodies are pressed together. The graded layer is modeled as a nonhomogeneous medium with an isotropic stress–strain law and is subjected over a part of its top surface to normal tractions while the rest of it is free of tractions. Since the contact between the two bodies is assumed to be frictionless, then only compressive normal tractions can be transmitted in the contact area. Using Hankel transform, the axisymmetric elasticity equations are converted analytically into a singular integral equation in which the unknowns are the contact pressure and the receding contact radius. The global equilibrium condition of the layer is supplemented to solve the problem. The singular integral equation is solved numerically using orthogonal Chebychev polynomials and an iterative scheme is employed to obtain the correct receding contact length that satisfies the global equilibrium condition. The main objective of the paper is to study the effect of the material nonhomogeneity parameter and the thickness of the graded layer on the contact pressure and on the length of the receding contact.  相似文献   

13.
This paper considers a frictionless receding contact problem between an anisotropic elastic layer and an anisotropic elastic half plane, when the two bodies are pressed together by means of a rigid circular stamp. The problem is reduced to a system of singular integral equations in which the contact stresses and lengths are the unknown functions. Numerical results for the contact stresses and the contact lengths are given by depending on various fibre orientations.  相似文献   

14.
Yildirim  B.  Yilmaz  K. B.  Comez  I.  Guler  M. A. 《Meccanica》2019,54(14):2183-2206

With the increasing research in the field of contact mechanics, different types of contact models have been investigated by many researchers by employing various complex material models. To ascertain the orthotropy effect and modeling parameters on a receding contact model, the double frictional receding contact problem for an orthotropic bilayer loaded by a cylindrical punch is taken into account in this study. Assuming plane strain sliding conditions, the governing equations are found analytically using Fourier integral transformation technique. Then, the resulting singular integral equations are solved numerically using an iterative method. The weight function describing the asymptotic behavior of the stresses are investigated in detail and powers of the stress singularities are provided. To control the trustworthiness and correctness of the analytical formulation and to compare the resulting stress distributions and contact boundaries, a numerically efficient finite element method was employed using augmented Lagrange contact algorithm. The aim of this paper is to investigate the orthotropy effect, modeling parameters and coefficients of friction on the surface and interface stresses, surface and interface contact boundaries, powers of stress singularities, weight function and to provide highly parametric benchmark results for tribological community in designing wear resistant systems.

  相似文献   

15.
The frictional contact problem for a layer resting on a homogeneous half plane is handled using linear elasticity theory in this study. The layer is in contact with a rigid cylindrical stamp that is on the layer and applies a concentrated force in the normal and tangential directions. Friction between the component couples of layer–stamp and layer–half plane is taken into account. The problem is reduced to a system of singular integral equations, in which the contact pressures and the contact areas are the unknowns, and it is treated using Fourier transforms and the boundary conditions for the problem. The system of singular integral equations is solved numerically using the Gauss–Jacobi integration formula with equilibrium and consistency conditions. Numerical results for the contact pressures and the contact areas are given as a solution for both the frictional and the frictionless cases. This work is the first study that investigates the effect of friction on the receding contact problem of a layer and a half plane with two contact areas.  相似文献   

16.
This paper investigates the plane problem of a frictional receding contact formed between an elastic functionally graded layer and a homogeneous half space, when they are pressed against each other. The graded layer is assumed to be an isotropic nonhomogeneous medium with an exponentially varying shear modulus and a constant Poisson’s ratio. A segment of the top surface of the graded layer is subject to both normal and tangential traction while rest of the surface is devoid of traction. The entire contact zone thus formed between the layer and the homogeneous medium can transmit both normal and tangential traction. It is assumed that the contact region is under sliding contact conditions with the Coulomb’s law used to relate the tangential traction to the normal component. Employing Fourier integral transforms and applying the necessary boundary conditions, the plane elasticity equations are reduced to a singular integral equation in which the unknowns are the contact pressure and the receding contact lengths. Ensuring mechanical equilibrium is an indispensable requirement warranted by the physics of the problem and therefore the global force and moment equilibrium conditions for the layer are supplemented to solve the problem. The Gauss–Chebyshev quadrature-collocation method is adopted to convert the singular integral equation to a set of overdetermined algebraic equations. This system is solved using a least squares method coupled with a novel iterative procedure to ensure that the force and moment equilibrium conditions are satisfied simultaneously. The main objective of this paper is to study the effect of friction coefficient and nonhomogeneity factor on the contact pressure distribution and the size of the contact region.  相似文献   

17.
An experimental study has been conducted to investigate the condensate carryover phenomena in dehumidifying heat exchangers. Two wavy finned-tube coils were tested, for which the fin surfaces were treated to provide either low or high contact angles. The receding contact angle on the fins of the two coils were 70° and 10°, respectively. The distribution of condensate carryover was measured along the tunnel bottom downstream from the coil for different air frontal velocities. As the frontal velocity increases, the quantity of condensate carryover increases, and the condensate is blown further from the coil. The receding contact angle on the fin surface is a key factor controlling the condensate carryover characteristics. The coil having a 10° receding contact angle shows significantly less condensate carryover than the coil having a 70° receding contact angle. Numerous condensate droplets and bridges were observed on the fin surfaces of the 70° receding contact angle coil; however, few were seen for the 10° receding contact angle coil. The dominant carryover results from droplets formed from bridged condensate, and the diameter of the resulting droplets is approximately 3.0 mm.  相似文献   

18.
The mechanical model was established for the anti-plane dynamic fracture problem for two collinear cracks on the two sides of and perpendicular to a weak-discontinuous interface between two materials with smoothly graded elastic properties, as opposed to a sharp interface with discontinuously changing elastic properties. The problem was reduced as a system of Cauchy singular integral equations of the first kind by Laplace and Fourier integral transforms. The integral equations were solved by Erdogan's collocation method and the dynamic stress intensity factors in the time domain were obtained through Laplace numerical inversion proposed by Miller and Guy. The influences of geometrical and physical parameters on the dynamic stress intensity factors were illustrated and discussed, based on which some conclusions were drawn: (a) to increase the thickness of the FGM strip on either side of the interface will be beneficial to reducing the DSIF of a crack perpendicular to a bi-FGM interface and embedded at the center of one of the FGM strips; (b) To increase the rigidity of the FGM strip where the crack is located will increase the DSIF. However, when the material in one side of the interface is more rigid, the DSIF of the interface-perpendicular embedded crack in the other side will be reduced; (c) To decrease the weak-discontinuity of a bi-FGM interface will not necessarily reduce the stress intensity factor of a crack perpendicular to it, which is different from the case of interfacial crack; (d) For two collinear cracks with equal half-length, when the distance between the two inner tips is less than about three times of the half-length, the interaction of them is intensified, however, when the distance is greater than this the interaction becomes weak.  相似文献   

19.
The formation of bubbles on an orifice plate involves a moving contact line, especially in case of poor wetting conditions. The dynamics of the moving contact line and contact angle have a significant impact on the bubble departure size. Therefore, for the numerical simulation, an appropriate contact line boundary condition is essential for a correct prediction of the bubble formation. Numerical tests have been performed on two kinds of contact line models, one is a contact line velocity dependent model (Model-A, a commonly used model) and the other is a stick-slip model (Model-B). The calculation results using Model-A depend greatly on the prescribed maximum contact line velocity. With Model-B a parameter-independent prediction can be obtained provided that the mesh is sufficiently fine. The dynamic advancing and receding contact angles, which are two required inputs to both models, have a significant influence on the predicted bubble departure diameter, if the contact line moves beyond the inner rim of the orifice. The effect of wettability on the bubble departure size is realized via the variation of the maximum contact diameter. When the contact line sticks to a small region near the inner rim of the orifice, such as the bubble formation on a thin-walled nozzle, the effects of the contact angle and contact line models are negligible.  相似文献   

20.
The problem of a two-dimensional viscous fluid drop which steadily moves along a horizontal rigid surface is considered. Such motion arises if the rigid surface wettability is nonuniform. A sequence of solutions for the velocity field and the free surface shape with the successively increasing applicability region near the moving contact lines is obtained for small capillary numbers Ca. The solution of the problem is found in the case when the distortion of the free surface of the drop during motion can be neglected. The problem is then reformulated using functions of a complex variable and expanded variables are introduced. In the new variables a more accurate solution of the same problem is found, with a much more narrow inapplicability region near the moving contact lines. In the solution obtained the free surface approaches the receding contact line at an angle of 180° and the advancing line at a zero angle. The solution is applicable up to the receding contact line and here approaches the known asymptotics. Near the advancing contact line the solution is applicable until the angle between the free surface and the rigid substrate becomes of the order of Ca1/3.  相似文献   

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