A CONTACT SEARCHING ALGORITHM FOR CONTACT-IMPACT PROBLEMS

A new contact searching algorithm for contact-impact systems is proposed in this paper.In terms of the cell structure and the linked-list,this algo- rithm solves the problem of sorting and searching contacts in three dimensions by transforming it to a retrieving process from two one-dimensional arrays,and binary searching is no longer required.Using this algorithm, the cost of contact searching is reduced to the order of O(N)instead of O(Nlog_2N)for traditional ones,where N is the node number in the system.Moreover,this algorithm can handle contact systems with arbitrary mesh layouts.Due to the simplicity of this algorithm it can be easily implemented in a dynamic explicit finite element program.Our numerical experi- mental result shows that this algorithm is reliable arid efficient for contact searching of three dimensional systems.

ELASTIC-PLASTIC FINITE ELEMENT ANALYSIS OF THREE-DIMENSIONAL CONTACT-IMPACT AT RAIL JOINT

Using the finite element code ANSYS/LS-DYNA, a dynamic finite element modelwith an elastic-linear-kinematic-hardening plastic material is established to analyzeelastic-plastic stresses in the railhead in the impact process of wheel and rail occurring at thegap of rail joint. The model is based on the discrete elastic support condition of the rails, whichis suitable for the actual situation of wheel/track rolling contact. In the analysis the influencesof axle load, yield stress and tangent modulus of rail material on the stresses and strains areinvestigated in detail. The distribution of stresses and strains in the jointed railhead are given.It is found that the axle load, yield stress and tangent modulus of rail material greatly affect thestresses and strains in the railhead during impacting. The study provides a reliable method anduseful datum for the further research on fatigue and wear of railhead and improving the rail jointmode.

An efficient formulation based on the Lagrangian method for contact–impact analysis of flexible multi-body system

In this paper,an efficien formulation based on the Lagrangian method is presented to investigate the contact–impact problems of f exible multi-body systems.Generally,the penalty method and the Hertz contact law are the most commonly used methods in engineering applications.However,these methods are highly dependent on various non-physical parameters,which have great effects on the simulation results.Moreover,a tremendous number of degrees of freedom in the contact–impact problems will influenc thenumericalefficien ysignificantl.Withtheconsideration of these two problems,a formulation combining the component mode synthesis method and the Lagrangian method is presented to investigate the contact–impact problems in fl xible multi-body system numerically.Meanwhile,the finit element meshing laws of the contact bodies will be studied preliminarily.A numerical example with experimental verificatio will certify the reliability of the presented formulationincontact–impactanalysis.Furthermore,aseries of numerical investigations explain how great the influenc of the finit element meshing has on the simulation results.Finally the limitations of the element size in different regions are summarized to satisfy both the accuracy and efficien y.

Modeling and Calculation of Impact Friction Caused by Corner Contact in Gear Transmission

Corner contact in gear pair causes vibration and noise,which has attracted many attentions.However,teeth errors and deformation make it difficulty to determine the point situated at corner contact and study the mechanism of teeth impact friction in the current researches.Based on the mechanism of corner contact,the process of corner contact is divided into two stages of impact and scratch,and the calculation model including gear equivalent error-combined deformation is established along the line of action.According to the distributive law,gear equivalent error is synthesized by base pitch error,normal backlash and tooth profile modification on the line of action.The combined tooth compliance of the first point lying in corner contact before the normal path is inversed along the line of action,on basis of the theory of engagement and the curve of tooth synthetic complianceload-history.Combined secondarily the equivalent error with the combined deflection,the position standard of the point situated at corner contact is probed.Then the impact positions and forces,from the beginning to the end during corner contact before the normal path,are calculated accurately.Due to the above results,the lash model during corner contact is founded,and the impact force and frictional coefficient are quantified.A numerical example is performed and the averaged impact friction coefficient based on the presented calculation method is validated.This research obtains the results which could be referenced to understand the complex mechanism of teeth impact friction and quantitative calculation of the friction force and coefficient,and to gear exact design for tribology.

Contact-impact formulation for multi-body systems using component mode synthesis

The efficiency and accuracy are two most concerned issues in the modeling and simulation of multi-body systems involving contact and impact. This paper proposed a formulation based on the component mode synthesis method for planar contact problems of flexible multi-body systems. A flexible body is divided into two parts： a contact zone and an un-contact zone. For the un-contact zone, by using the fixed-interface substructure method as reference, a few low-order modal coordinates are used to replace the nodal coordinates of the nodes, and meanwhile, the nodal coordinates of the local impact region are kept unchanged, therefore the total degrees of freedom （DOFs） are greatly cut down and the computational cost of the simulation is significantly reduced. By using additional constraint method, the impact constraint equations and kinematic constraint equations are derived, and the Lagrange equations of the first kind of flexible multi-body system are obtained. The impact of an elastic beam with a fixed half disk is simulated to verify the efficiency and accuracy of this method.

Reduced projection augmented Lagrange bi-conjugate gradient method for contact and impact problems

Based on the numerical governing formulation and non-linear complementary conditions of contact and impact problems, a reduced projection augmented Lagrange bi- conjugate gradient method is proposed for contact and impact problems by translating non-linear complementary conditions into equivalent formulation of non-linear program- ming. For contact-impact problems, a larger time-step can be adopted arriving at numer- ical convergence compared with penalty method. By establishment of the impact-contact formulations which are equivalent with original non-linear complementary conditions, a reduced projection augmented Lagrange bi-conjugate gradient method is deduced to im- prove precision and efficiency of numerical solutions. A numerical example shows that the algorithm we suggested is valid and exact.

AN IMPROVED CONTACT-IMPACT ALGORITHM FOR EXPLICIT INTEGRATION FEM

Although the penalty algorithm is simple and direct in concept, it has a defect that the contact forces are badly dependent on the chosen penalty factor. An improved contact-impact algorithm for the explicit integration FEM is proposed in the present paper. Based on the fact that bodies cannot penetrate into each other on the contact faces, a set of equations with the additional unknown contact forces on the slave nodes can be formed in a new system configuration. By solving these equations, the correct contact forces could be obtained without using the penalty factor.

Numerical simulation on impact-contact between the tips of a pair of blades

To study the dynamic characteristics and damping mechanism of impact-contact between the tips of blades further more,the impact-contact between the tips of a pair of blades was studied through numerical simulation.In this paper,the dynamic equation of contact-impact between the tips was established and Newmark direct integration method was adopted in numerical simulation.The nonlinear response characteristics and damping mechanism of impact-contact system are obtained.The results of numerical simulation were obtained as follows:As the clearance between blade shrouds is smaller,the vibration amplitude is smaller.The clearance between blade shrouds has a great influence on the input energy of the aerodynamic-excitation-vibration force.As the clearance of blade shrouds increases,the input energy of the aerodynamic-excitation-vibration force increases rapidly.

The efficiency of direct integration methods in elastic contact-impact problems

A comparison of direct integration methods is madeand their efficiency is investigated for impact problems.New-mark,Wilson-θ,Central Difference and Houbolt Methodsare used as direct integration methods.Impact analysisincludes that of elastic and large deformation based uponupdated Lagrangian including buckling check.The resultsshow that the direct integration methods give differentresults in different contact-impact cases.

Simulation of Fragment Impact on Multi-Layer Targets Using Contact Method

Cased explosives generate highly energetic fragments as their casing breaks up. Due to the complexity of casing fragment related behavior such as embedment, perforation and ricochet, it may be insufficient to use equivalent triangular pressure loading in fragment impact simulations. This simplified method may over- or under-predict the target response. Recently, a procedure using contact techniques has been proposed to overcome such difficulties. It has been shown that the new method has the inherent capability in modeling the multi-piece and multi-hit fragment impact problems in a more realistic way. To investigate the applicability of the proposed method to simulations involving multi-layer penetration, the selected problems of fragment impact on multi-layer targets are described in this paper. It is demonstrated that this method is capable of predicting the complicated multi-layer structural response caused by fragment impact and penetration. Modeling procedures and some technical issues are also discussed.

Partition method for impact dynamics of flexible multibody systems based on contact constraint

The impact dynamics of a flexible multibody system is investigated. By using a partition method, the system is divided into two parts, the local impact region and the region away from the impact. The two parts are connected by specific boundary conditions, and the system after partition is equivalent to the original system. According to the rigid-flexible coupling dynamic theory of multibody system, system＇s rigid-flexible coupling dynamic equations without impact are derived. A local impulse method for establishing the initial impact conditions is proposed. It satisfies the compatibility con- ditions for contact constraints and the actual physical situation of the impact process of flexible bodies. Based on the contact constraint method, system＇s impact dynamic equa- tions are derived in a differential-algebraic form. The contact/separation criterion and the algorithm are given. An impact dynamic simulation is given. The results show that system＇s dynamic behaviors including the energy, the deformations, the displacements, and the impact force during the impact process change dramatically. The impact makes great effects on the global dynamics of the system during and after impact.

REDUCED AUGMENTED LAGRANGIAN BI-CONJUGATE GRADIENT METHOD FOR IMPACT-CONTACT PROBLEMS

To avoid the numerical oscillation of the penalty method andnon-compatibility with ex- plicit operators of conventional Lagrangemultiplier methods used in transient contact problems to en- forcesurface contact conditions, a new approach to enforcing surfacecontact constraints for the tran- sient nonlinear finite elementproblems, referred to as 'the reduced augmented Lagrangianbi-conjugate gradient method (ALCG)', is developed in this paper.Based on the nonlinear constrained optimization theory and iscompatible with the explicit time integration scheme, this approachcan also be used in implicit scheme naturally.

半刀宽插铣冲击力有限元分析与实验研究

半刀宽插铣是一种常见的型腔加工方式,在顺铣切入和逆铣切出时由于刀—屑接触宽度突变会产生较大冲击,严重影响刀具使用寿命。通过有限元计算与实验相结合的方式,对半刀宽逆铣加工中的冲击力学行为进行研究。以40Cr合金钢为研究对象,建立半刀宽逆铣有限元计算模型,根据加工中刀—屑接触宽度与切削力的变化特点,以刀—屑接触宽度发生突变对应时刻的切向力表征冲击力,采用极差分析法与单因素分析法研究各切削参数对刀具冲击力的影响规律,并通过实验验证了模型的有效性。实验结果表明,仿真与实验冲击力的相对误差在10%以内,证明该有限元模型可用于半刀宽插铣冲击力预测和切削参数优化;冲击力与插铣步距和每齿进给量成正比,随着切削速度的增加,冲击力先增加后减小。

不同缓冲性能乒乓球鞋对人体下肢落地冲击力的影响研究

为分析不同缓冲性能的乒乓球鞋在剧烈运动落地时对人体下肢冲击力的影响,选择20位乒乓球运动员为研究对象,通过比较研究对象在疲劳干预后穿着不同缓冲性能的乒乓球鞋从50cm高处落地时的下肢冲击力、负载率等参数,从生物力学视角下对穿着乒乓球鞋从高处落地时人体下肢的冲击力影响进行分析。结果表明:良好的缓冲能够明显增强人体髋关节、膝关节或是踝关节落地角度变化量,显著增强人体下肢稳定性,但不能显著影响人体落地时踝关节处神经-肌肉的控制情况。

双块式无砟轨道轨枕与道床板界面脱空损伤识别

为准确识别双块式无砟轨道轨枕与道床板连接面脱空损伤,建立了双块式无砟轨道冲击回波有限元模型,分析界面损伤对弹性波传播规律的影响。在室内浇筑含有不同损伤位置和不同损伤程度的混凝土复合试件,采用冲击回波法进行损伤识别。研究结果表明:脱空损伤会显著影响弹性波在界面处的传播,基于回波信号分析可识别损伤;弹性波频率主要受激振锤大小的影响,应结合结构易损位置和理论计算选取合适的激振锤;混凝土复合试件的试验厚度值与理论厚度值相差仅为1 cm,测试结果合理,可用于判断脱空损伤程度,但不能确定损伤区域;利用平面成像技术可准确识别轨枕与道床板界面脱空范围,为双块式无砟轨道结构养护维修提供一定参考,试验结果验证了冲击回波法用于双块式轨道层间脱空识别的可行性和合理性。

嵌入式轨道三维滚动接触模型冲击特性研究

嵌入式轨道在城市轨道交通领域得到广泛运用,在高速铁路方面,国内外也有少量的相关报道和理论研究。嵌入式轨道对减缓轮轨冲击有显著效果,其中焊接接头是引起轮轨冲击的重要原因之一,对于时速400公里以及更高运行速度的列车,焊接接头冲击激励引起的轮轨力变化十分显著,目前对于高速工况下嵌入式轨道的研究尚不充分。基于显式动力学有限元方法,采用三维高速轮轨瞬态滚动接触模型对轮轨冲击过程进行数值模拟,并探究时速400公里速度下的嵌入式轨道的冲击特性。得出以下结论:嵌入式轨道与扣件式轨道在受到不同波长冲击时均能够减小垂向轮轨力变化幅值,焊接接头波长越长,垂向轮轨冲击力越能快速趋于平缓;车轮在受到焊接接头长波冲击时,嵌入式轨道能明显降低纵向轮轨力。研究结果可为嵌入式轨道在高速铁路的运用提供参考。

人工种植牙邻接触丧失应对策略的专家共识

人工种植牙邻接触丧失(proximal contact loss,PCL)所引发的问题是近年研究热点,学者们一致致力于其原因和相关因素分析,旨在寻求解决与PCL相关问题的方案。前驱力作用、颌骨及牙槽窝等终身改建以及种植牙的骨整合特性是PCL的主要原因。一方面,下颌的闭口运动通过后牙牙尖产生了将牙齿往近中移位的前驱力,使上下颌后牙、下颌前牙近中漂移,同时,可使上下颌前牙唇向移位;另一方面,颌骨、牙槽窝、牙根的改建以及咀嚼肌的前向水平分力、下颌向前向上的动力分量以及牙尖斜面产生的向前分力使天然牙向近中漂移;此外,天然牙终身具备水平、垂直向移位以及旋转的能力,以适应口颌系统的改建和维持口腔的功能,而种植牙骨整合缺乏天然的牙周膜,缺乏近中漂移生理基础,垂直向平均动度微小,种植牙骨整合沉默性不具备天然牙整体漂移特点,增加了PCL发生的可能性。PCL高发生率与戴牙时间和近中位置有明显相关性,但也受咬合力大小、对颌牙状况、邻牙情况、修复方式、牙位、上下颌骨、年龄、性别等因素影响。PCL与食物嵌塞呈显著相关性,但并不一一对应,不满足充分必要条件。PCL也与种植体周病变以及龋齿等有关。PCL的预防包括知情同意、定期检查、固位方式选择、接触点增强、配戴保持器以及应用多用途数字化牙冠。PCL的处理包括邻接触点增补、正畸牵引以及咬合调整。现有方法可以短期解决食物嵌塞情况,综合干预以寻求稳定的远期效果。对称、平衡的考量将拓展处理有关PCL引发的问题。

微氧生化-生物接触氧化法对癸二酸废水的处理特性研究

癸二酸废水属于典型难降解工业废水,废水处理难度大,且富含的高硫酸盐极易被还原为硫化氢释放,导致环境污染。采用微氧生化-生物接触氧化工艺处理癸二酸废水,考察其对难降解工业废水的处理特性。结果表明,当进水负荷逐渐趋于稳定,在进水COD 4500~5500 mg/L、挥发酚150~200 mg/L的情况下,经微氧生化-生物接触氧化工艺处理后,出水COD<400 mg/L,挥发酚<0.5 mg/L。系统中出水硫化物质量浓度均低于0.2 mg/L,表明系统内不易产生H2S。在微氧段构建及启动阶段,伴随着DO升高,出水浊度不断降低;当整体工艺连续稳定运行时,系统除浊率保持在70%~90%之间,表明整体工艺对降低出水浊度有很好的效果。系统中MLSS 6000~8000 mg/L,SVI 100~150 mL/g,表明系统中污泥沉降性较好。系统运行稳定性评价表明系统具有较强的抗负荷冲击能力和耐盐度变化能力,可广泛应用于难降解工业废水的治理中。

A Contact Force Model Considering Meshing and Collision States for Dynamic Analysisin Helical Gear System

The current research on gear system dynamics mainly utilizes linear spring damping model to calculate the contact force between gears. However, this linear model cannot correctly describe the energy transfer process of collision that often occurs in gear system. Focus on the contact-impact events, this paper proposes an improved gear contact force model for dynamic analysis in helical gear transmission system. In this model, a new factor associated with hysteresis damping is developed for contact-impact state, whereas the traditional linear damping factor is utilized for normal meshing state. For determining the selection strategy of these two damping factors, the fundamental contact mechanics of contact-impact event affected by supporting forces are analyzed. During this analysis, an effect factor is proposed for evaluating the influence of supporting forces on collision. Meanwhile, a new restitution of coefficient is deduced for calculating hysteresis damping factor, which suitable for both separation and non-separation states at the end of collision. In addition, the time-varying meshing stiffness (TVMS) is obtained based on the potential energy approach and the slice theory. Finally, a dynamic analysis of a helical gear system is carried out to better understand the contact force model proposed in this paper. The analysis results show that the contribution of supporting forces to the dynamic response of contact-impact event within gear pair is important. The supporting forces and dissipative energy are the main reasons for gear system to enter a steady contact state from repeated contact-impact state. This research proposes an improved contact force model which distinguishes meshing and collision states in gear system.

液滴撞击固体表面研究进展

研究液滴撞击固体表面对工农业生产等领域具有重要意义。针对液滴撞击固体表面产生的动态行为不同的问题,首先总结了液滴撞击固体表面的最大铺展系数和接触时间的预测公式,这对传热和防结冰等应用具有重要意义;然后,综述了液滴撞击固体表面的影响因素,最后介绍了液滴撞击不同固体表面在油水分离、防结冰、自清洁等方面的实际应用。指出了液滴撞击固体表面的未来研究方向。