Study on transient aerodynamic characteristics of parachute opening process

In the research of parachute, canopy inflation process modeling is one of the most complicated tasks. As canopy often experiences the largest deformations and loadings during a very short time, it is of great difficulty for theoretical analysis and experimental measurements. In this paper, aerodynamic equations and structural dynamics equations were developed for describing parachute opening process, and an iterative coupling solving strategy incorporating the above equations was proposed for a small-scale, flexible and flat-circular parachute. Then, analyses were carried out for canopy geometry, time-dependent pressure difference between the inside and outside of the canopy, transient vortex around the canopy and the flow field in the radial plane as a sequence in opening process. The mechanism of the canopy shape development was explained from perspective of transient flow fields during the inflation process. Experiments of the parachute opening process were conducted in a wind tunnel, in which instantaneous shape of the canopy was measured by high velocity camera and the opening loading was measured by dynamometer balance. The theoretical predictions were found in good agreement with the experimental results, validating the proposed approach. This numerical method can improve the situation of strong dependence of parachute research on wind tunnel tests, and is of significance to the understanding of the mechanics of parachute inflation process. The project supported by the National Natural Science Foundation of China (10377006). The English text was polished by Yunming Chen.     

凹坑形非光滑表面微观摩擦磨损试验回归分析

采用试验优化设计理论,利用L16(215)二水平正交表设计试验,对具有凹坑形非光滑表面形态的试件进行微观摩擦磨损试验研究,运用多元线性回归正交设计处理试验数据,得到具有凹坑形非光滑表面形态试件的体积磨损率和摩擦系数与各试验因素关系(如非光滑单元体大小、距离、速度和载荷)的回归方程.结果表明:试验因素对体积磨损率的影响程度由大到小依次为载荷、速度、单元体大小和距离;体积磨损率随着距离、速度及载荷的增加而增大,随着非光滑单元体尺寸的增加而减小,但距离和速度的交互影响很小;试验因素对摩擦系数的影响程度由大到小依次为载荷、速度、距离和单元体大小;摩擦系数随着距离、速度及载荷的增加而减小,随着非光滑单元体尺寸的增加而增大,但距离、速度及载荷的交互作用也很小.     

摩擦信号分形维数与载荷和速度的关系研究

在立式万能摩擦磨损试验机上对GCr15/45#钢摩擦副进行不同接触载荷和滑动速度下的摩擦磨损试验,对初始滑动距离1 000 m内的摩擦系数信号进行数据采集,运用结构函数测度方法对摩擦系数信号进行分形表征,计算不同载荷和速度下的分形维数,研究摩擦信号的分形维数随载荷和速度的变化规律.结果表明,摩擦系数信号具有显著的分形特征,其分形维数随载荷和速度而变化.在相同载荷下,分形维数随滑动速度增加而增大;在相同速度下,分形维数随着接触载荷增加而增大.磨损率与摩擦系数信号的分形维数正相关.     

轮胎磨损颗粒物形貌及产生机理的实验研究

采用自行设计的磨损试验机采集轮胎-路面摩擦副产生的轮胎磨损颗粒物,通过光学显微镜和扫描电子显微镜(SEM)分析和讨论了不同负载、速度和胎压工况影响下磨损颗粒物的表面形貌、粒度及磨损胎面形貌,建立了磨损颗粒物与胎面磨损形态的关系.结果表明:轮胎磨损颗粒物的粒度和数量类似正态分布,粒度主要集中在100~300μm.轮胎磨损颗粒物的主要产生机理是胎面疲劳剥落,形式主要为片状剥落和卷曲磨损共存,卷曲磨损会导致更多的磨损颗粒物脱离.载荷可使两种磨损形式的主导地位发生转变.接触界面应力提高会使团絮状胎面磨损颗粒物增多,速度增大会明显减小磨损颗粒物粒度.对小于10μm颗粒物来说,工况对其数量影响的主次顺序依次为速度、胎压和载荷.本研究可以为减少因轮胎磨损而导致的磨屑次生危害提供可供借鉴的理论指导.     

Steering forces on undriven tractor wheel

The steering forces on an undriven, angled wheel mounting a 6-16 8PR tire were measured on a wheel test carriage at zero camber angle and at 1.5 km/h forward speed in a soil bin with sandy clay loam soil. The lateral force developed was found to be a function of slip angle, normal load, and inflation pressure for a particular soil condition. An exponential relationship could estimate the coefficient of lateral force of the 6-16 tire. The coefficients of this equation were found to be linearly related to inflation pressure. Rolling resistance of the wheel tested was found to be a function of slip angle, normal load, and inflation pressure for the soil condition tested. A linear relationship existed between the rolling resistance and slip angle, where the coefficients were found to be a function of inflation pressure and normal load. The generalized equations developed in the present study for estimating coefficients of lateral force and rolling resistance by taking both the tire and operating parameters into account, were found to be reasonably good by looking at the high coefficient of determination between experimental and estimated values.     

单自由度冲击扰动下模拟磁头／磁盘系统接触回复特性的实验研究

采用自制的试验装置研究了单自由度冲击扰动下磁头 /磁盘系统的接触回复特性 ,分析了不同载荷下球形模拟磁头跳跃振动回复系数和接触时间与输入速度之间的关系 .结果表明 :当载荷较小时 ,回复系数随着输入速度的减小而增加 ,而当载荷较大时 ,回复系数随着输入速度的减小而减小 .在不同载荷条件下 ,接触时间均随输入速度的减小而缩短 ,但小载荷下接触时间缩短的幅度较大 .球形模拟磁头的回复特性和接触时间与载荷、输入速度及润滑膜特性有关 ,增大载荷和选择合适的润滑剂均可抑制跳跃振动     

Hydrothermal analysis of hybrid nanofluid flow on a vertical plate by considering slip condition

Hybrid nanofluids have attracted burgeoning attention owing to their outstanding capacity to improve heat transfer. The influence of velocity and temperature slip parameter and nanoparticls' (NPs') volume fraction on a vertical plate in the existence of suction has been explored in this work. The investigation's controlling partial differentiation equations were transformed into a conventional differential equation mechanism using resemblance modifications. Equations were then solved employing the fifth-order Runge-Kutta method. The skin coefficient of friction, temperature, and temperature gradient all rise when the volume percentage of NPs increases from 0 to 2%. Furthermore, a rise in the temperature slip variable was linked to a drop in the Nusselt number (heat transfer).The Nusselt number increased 0.15% and 5.63% respectively when the velocity slip parameter enhanced from 0 to 5 and the NPs volume percentage were increased from 0 to 1.5%. Furthermore, an increase in the temperature slip from 0 to 3 inflated the x-direction skin friction coefficient 8.2%, while inflation in the velocity slip from 0 to 5 was associated with a decline in the x-direction skin friction coefficient 95%.     

Tire deflection and contact studies

Dimensional variations of pneumatic tires influence off-road locomotion and more particularly their aptitude for the transmission of high propulsive torques to the tire-soil contact area.Height variation of the tire when load increases is linear and allows a classification of the casings by means of the angular coefficients for the straight lines expression this relationship.Variation in the level where the enlarging of the torus is maximum is directly connected with the applied load and inversely proportional to the inflation pressure. Ply rating and inflation pressure define a stiffness coefficient for a tire, while the ratio of height to width under load specifies a deformation coefficient, a squash rate and a flattening rate. These three parameters characterize the elasticity of the tire and so are connected to the effective tire-soil contact areas.Compressive effects of the vertical stress as well as the transmitted torques are in relation with tire deformability. The study points to the need for better specification of the parameters for the choice, or for the definition of the desired characteristics for manufacturing, of tires.Experiments already done on superficial compaction effects concluded with a new type of cross section for the tire called the camel shoe.     

三维冲击荷载弹塑性弯曲裂纹张开位移

主要研究冲击载荷作用下的三维弹塑性弯曲裂纹尖端的张开位移问题．综合考虑了冲击作用应力,三维塑性区域边界上正应力与剪应力,利用二阶摄动方法计算了三维弹塑性弯曲裂纹尖端的张开位移．用数值解法计算出三维弹塑性弯曲裂纹尖端张开位移,作图分析了三维弹塑性弯曲裂纹尖端张开位移与三维裂纹体几何尺寸之间的变化关系．三维弹塑性弯曲裂纹尖端张开位移随着三维裂纹体厚度的增大而减小,随着三维裂纹体厚度的均匀增大,三维弹塑性弯曲裂纹尖端张开位移尺寸不断减小,减小的幅度越来越小,最终趋于平面应变状态下的弹塑性弯曲裂纹尖端张开位移尺寸．当三维裂纹体几何尺寸相同时,三维弯曲裂纹尖端动态张开位移随外部冲击载荷的不断增大而逐渐增大,三维弯曲裂纹尖端动态张开位移随动荷系数的增大而迅速增大,建立了一个计算三维弹塑性弯曲裂纹尖端动态张开位移的崭新理论模型．     

Lubrication theory for micropolar fluids and its application to a journal bearing with finite length

In this paper, the field equation of micropolar fluid with general lubrication theory assumptions is simplified into two systems of coupled ordinary differential equation. The analytical solutions of velocity and microrotation velocity are obtained. Micropolar fluid lubrication Reynolds equation is deduced. By means of numerical method, the characteristics of a finitely long journal bearing under various dynamic parameters, geometrical parameters and micropolar parameters are shown in curve form. These characteristics are pressure distribution, load capacity, coefficient of flow flux and coefficient of friction. Practical value of micropolar effects is shown, so micropolar fluid theory further closes to engineering application.     

Design Sensitivity Analysis of Truss Structures with Elastoplastic Material*

ABSTRACT

A continuum-based design sensitivity analysis (DSA) method is presented for configuration (or layout) design of nonlinear structural systems with rate-independent elastoplastic material. Configuration design variables are characterized by shape and orientation changes of the structural component. A continuum-based shape DSA method that utilizes the material derivative of continuum mechanics is extended to account for effects of shape and orientation variations. The incremental analysis method, with updated Lagrangian formulation, is used to derive the design sensitivity for the nonlinear structural system.

To derive the design sensitivity, incremental energy and load forms are utilized. The first variations of energy and load forms and the static response with respect to configuration design variables are described using the material derivative. Direct differentiation is utilized to obtain the first variation of the performance measure explicitly in terms of variations of configuration design variables. With the consistent tangent stiffness matrix employed at the end of each load step to compute the design sensitivity, it is found that no iterations are necessary to compute design sensitivity. In addition, the linear design velocity is used to account for configuration design changes, with the velocity field being updated at each load step of the incremental analysis.     

Modelling in FEM the soil pressures distribution caused by a tyre on a Rhodic Ferralsol soil

Tyre traffic over soil causes non-uniform ground pressures across the tyre width and along the soil–tyre contact area. The objective of this paper was to obtain in the topsoil the shape, magnitudes, distribution and transmission in depth of the ground pressures from a finite element model of soil compaction. The influence of tyre inflation pressure, tyre load and soil water content over the pressures propagation in the soil was analysed. The model shows how to low inflation pressure the tyre carcass supports most of the total load and the biggest peak pressures are distributed in the tyre axes when it traffics over firm soil. For high inflation pressure the incremented stiff causes that pressure is distributed with parabolic shape. In wet soil the inflation pressure does not influence on the ground pressure distribution, this depends only on the tyre load. The inflation pressure and tyre load changed the shape of the vertical pressures distribution on the surface of a hard dry soil, but these variables did not affect the distribution of vertical stresses in a soft wet soil or below a depth of 0.15 m.     

啮入冲击对直齿轮弹流润滑的影响

考虑齿轮啮入冲击载荷,曲率半径、卷吸速度沿啮合线随时间的变化以及温度场的影响,用非牛顿流体的Ree-Erying润滑模型,利用多重网格法模拟了轮齿从啮入到啮出整个时间历程中油膜压力、膜厚和温度分布的变化,对比分析了啮入冲击载荷与平稳载荷对渐开线直齿轮时变非牛顿热弹流润滑结果的影响.数值结果表明,啮入冲击载荷只对啮入初始阶段的油膜压力、膜厚、温度有很大影响,最小膜厚和最大压力都发生在冲击载荷的最大峰值载荷时刻,所以齿轮的啮入冲击对齿轮保持良好的润滑状态是不利的.     

The effect of inflation pressure and vehicle loading on the sidewall of a radial tire

The sidewall is one of the regions where service failures occur in a pneumatic tire. Knowledge of the stresses or strains developed in the sidewall under varying service conditions is required if such pneumatic-tire failures are to be avoided. This paper describes an experimental investigation into the effect of inflation pressure, vehicle load and camber angle on the sidewall-surface strains in a radial tire. Photoelastic coating and a specially designed strain-gaging technique were used. For pure-inflation pressure, the magnitude of the measured shear strains in the sidewall is directly related to the inflation pressure. The maximum sidewall shear strains in pure inflation are located in the lower sidewall (18 mm from bead), irrespective of the magnitude of the inflation pressure. The mendional sidewall strain is predominant in the inflated but otherwise unloaded tire. The meridional strain is proportional to the square root of the inflation pressure. The maximum mendional strain is located in the mid-sidewall region. For a constant vehicle loading, there is a transition inflation pressure below or above which the circumterential shoulder strain increases sharply. This observation highlights the importance of maintaining satistactory inflation pressure in passenger-car tires as an under-inflated tire will induce severe strain development at the shoulder. In addition to the vehicle load, the introduction of camber angle produces localized change in the meridional and circumterential strains within the contact zone. The increase of camber angle up to 10 deg causes continuous increase in the meridional strain in the lower sidewall but decrease in the upper sidewall. The mid-sidewall meridional strains remain practically unchanged. The circumferential strains along the load line are, in general, lower due to the increase in camber angle.     

弓形折流板开孔位置的数值模拟研究

在相同的开孔面积和开孔数目前提下,本文数值研究在开孔位置不同时圆缺高度为0.2D(D为折流板直径)的单弓型折流板换热器的壳程换热与流动阻力问题。数值结果表明:在折流板压强高的“高压区”,均匀地开孔对减小换热器壳程压降效果更好,其综合换热性能的性能评价因子E值也更好;在壳程入口速度为0.1m/s时,通过改变开孔位置,壳程压降可优化3%左右。     

Failure loads of spot welds under combined opening and shear static loading conditions

Failure loads of spot welds are investigated under combined opening and shear static loading conditions. Square-cup specimens were used to obtain the failure loads of mild steel spot welds under a range of combined opening and shear loads. Optical micrographs of the cross-sections of spot welds before and after failure were examined to understand the failure processes under different combinations of loads. The experimental results indicate that under nearly pure opening loads, shear failure occurs in the heat affected zone along the nugget circumferential boundary. Under combined opening and shear loading conditions, necking/shear failure starts near the nugget in the stretching side of the base metal sheet. According to the experimental observations, a simple lower bound limit load analysis is conducted. The results of the lower bound limit load analysis quantitatively agree with those of the experiments. A simple closed-form equation is proposed to characterize the failure loads of spot welds under combined opening and shear static loading conditions. The failure load is expressed as a function of the tensile strength of the base metal, the nugget size, the sheet thickness, the loading angle for characterization of combined loads, and an empirical coefficient for the given welding schedule.     

多体系统齐次矩阵方法在浮桥运动响应中的应用研究

浮桥的抗弯刚度和受弯变形位移波的传播速度都比一般钢桥或混凝土桥小得多。在快速移动重载作用下,荷载移动速度有可能接近甚至超过浮桥位移波的传播速度,这样就会造成移动荷载前方浮桥位移波的堆积效应。介绍了多体系统齐次矩阵方法,并用齐次矩阵方法对浮桥进行建模和求解,通过数值模拟和已有的模型试验表明:当荷载的移动速度较大时,浮桥多体系统的运动呈现明显的波动现象,速度越大位移波的堆积越明显。     

多梁式波形钢腹板工字钢组合梁荷载横向分布系数研究

为探讨多梁式波形钢腹板工字钢组合梁横向分布系数计算方法,同时考虑波形钢腹板抗扭刚度、剪切变形及钢混滑移效应,对传统的偏心压力法、修正偏心压力法及刚接梁法进行修正,并结合有限元模型通过一座典型的4主梁波形钢腹板工字钢组合梁桥对比分析了上述方法的适用性,最后基于参数分析研究了横隔板数量及刚度对其横向荷载分布系数的影响。结果表明,考虑剪切变形及滑移效应的刚接梁法得到的荷载横向分布系数与有限元值符合最好;当桥梁宽跨比小于2时,宜采用刚接梁法计算各主梁荷载横向分布系数,当宽跨比大于2时,宜采用更为简洁的修正偏心压力法进行计算;横隔板的设置可改善各主梁荷载横向均匀分布,但跨间横隔板间距和刚度对其荷载横向分布系数影响较小,实桥设计时可仅在端部及跨中位置布置横隔板,横隔板刚度及其余部位横隔板数量可根据结构稳定性要求进行布置。     

玻璃纤维增强尼龙1010复合材料的摩擦学性能研究

利用ＷＺＭ－１微型注塑机制备了玻璃纤维增强尼龙复合材料,在环－块摩擦磨损试验机上考察了玻璃纤维含量和试验条件下对其摩擦学性能的影响,并利用扫描电子显微镜对其磨损机理进行了分析。结果表明：在给定试验条件下玻璃纤维含量对复合材料的摩擦学性能有显著影响,玻璃纤维质量分数介于２５％～３０％之间时增强效果较好;复合材料的摩擦系数随载荷的增加而下降,达到最小值后,又随载荷的增加而持续上升;其磨损质量损失则随载荷的增加而持续增大,复合材料的磨损以粘着磨损为主,随载荷的增加转变为以玻璃纤维的破坏和磨平为主。     

化学反应对竖直平板边界磁流体动力学微极流体滑流的影响

Heat and mass transfer effects on the unsteady flow of a micropolar fluid through a porous medium bounded by a semi-infinite vertical plate in a slip-flow regime are studied taking into account a homogeneous chemical reaction of the first order. A uniform magnetic field acts perpendicular to the porous surface absorb micropolar fluid with a suction velocity varying with time. The free stream velocity follows an exponentially increasing or decreasing small perturbation law. Using the approximate method, the expressions for the velocity microrotation, temperature, and concentration are obtained. Futher, the results of the skin friction coefficient, the couple stress coefficient, and the rate of heat and mass transfer at the wall are presented with various values of fluid properties and flow conditions.