求解不连续中厚板自由振动的微分容积单元法

基于区域叠加原理和微分容积法,发展了一种新型的数值方法——微分容积单元法,用以分析具有不连续几何特征的中厚板的自由振动。根据板的不连续情况将其划分为若干单元,在每个单元内用微分容积法将控制微分方程离散成为一组线性代数方程．在相邻的单元连接处应用位移连续条件和平衡条件,引入边界约束条件后得到一套关于各配点位移的齐次线性代数方程,由此可导出求解系统固有频率的特征方程。本文用子空间迭代法求解特征方程,并以开孔板、混合边界条件板和突变厚度板为例研究了方法的收敛性和计算精度。     

陷窝强化对流换热机理数值模拟分析

为了给后续优化陷窝设计提供参考,本文采用RANS数值模拟了底板布置典型深宽比为0.2的陷窝的两组光滑平板间充分发展对流换热流动的情况,分析了陷窝强化对流换热的机理。为验证数值模拟方法的可靠性,建立了与已有文献中的实验一致的模型,与实验结果对比,数值结果误差小于6%,验证了本文数值模拟方法的可靠性。本文通过此数值模拟方法研究表明:陷窝背风面动量输入小、流速低、对流换热弱、类龙卷风涡对壁面螺旋型焦点处对流换热最多减弱50%;陷窝尖后缘的高速绕流、冲击、边界层不连续发展和湍流强度增强等强化了对流换热;陷窝后缘处对流换热最大增强25%;尾流诱导达两倍陷窝表面直径距离的纵向涡对,由于纵向涡对在对称面上诱导向上的速度,对流换热减弱;由于纵向涡对两侧诱导向下的速度,对流换热较强;尾流区换热增强5%~25%。从整体来看,陷窝强化了对流换热。     

板壳式换热器波纹倾角对换热和阻力性能影响

研究了波纹倾角（α=45°,60°,75°）对板壳式换热器单流道内单相流动与换热过程的影响,分析了波纹流道内的速度分布、湍动能分布、压力分布和温度分布;基于范宁摩擦阻力因子f和Nu与Re的关系,提出了板壳式换热器不同波纹倾角下换热特性和流动阻力特性的预测关联式;通过计算不同波纹倾角下的综合性能评价指标（performance evaluation criteria,PEC）和面积质量因子（j/f）综合评价了流动与换热性能。结果表明：波纹倾角是影响圆形板间流体流动形态的因素之一,随着波纹倾角增大,会出现“十字交叉流”向“曲折流”转变;所提出的关联式能够很好地预测板壳式换热器内阻力与换热性能,阻力特性偏差在±14%范围内,换热特性偏差在±7%范围内;α为45° 时,j/f较大,流道内阻力相对小;α为60° 时,PEC较大,流道内换热性能相对强。

     

换热器传热管在静水中的挤压膜阻尼研究

本文通过求解三维Navier-Stokes方程,导出计算挤压膜阻尼的公式,对Mulcahy所提出的模型作了改进,并提出了stokes数的间隙修正因子的概念. 改进后的挤压膜阻尼模型计及管子振幅的影响,在管子振幅很小的情况下,它与Mulcahy提出的模型相似,实际上可把Mulcahy提出的模型看成改进后模型的一个特例. 为了验证改进后的模型,对传热管在空气和静水介质中的阻尼进行了实验研究.结果表明理论计算值与实验测量值符合良好.     

基于COMSOL的简化对流传热结构拓扑优化方法

提出了一种基于COMSOL平台的简化对流传热结构拓扑优化实现方法。简化对流传热拓扑优化可用于获得性能更优的散热结构概念设计,但缺乏可行性强和适用范围广的实现方法,导致工程应用存在较高的技术门槛。为解决该问题,本研究采用在经典传热方程中引入对流换热项的方式,建立了可用于COMSOL平台简化对流换热分析的控制方程。进一步的,结合COMSOL平台提供的传热分析模块以及拓扑优化模块,搭建了简化对流传热结构拓扑优化计算框架。数值算例考虑了经典二维和三维的简化对流传热结构优化设计问题。结果显示了本文方法的有效性及可行性。     

脑Willis环的一维血流动力学及氧输运特性的数值研究

Willis环是大脑侧枝循环的重要组成部分, 研究其血流动力学特性以及氧输运规律对脑缺血疾病的认知和预防有着非常重要的作用. 该文旨在利用一维血流动力学模型模拟整个Willis环的流量变化和压力分布, 并建立动脉内氧输运的一维模型以模拟Willis 环内氧分压的变化规律, 为研究脑组织内血液流动和氧输运打下基础. 首先, 基于弹性圆管内的一维非线性流动方程和状态方程建立血流动力学模型, 在一维对流扩散方程的基础上, 考虑由管腔向壁面的扩散和壁面细胞的新陈代谢消耗推导出氧输运特性方程. 通过 Lax-Wendroff两步法对血流动力学方程进行离散, 而在进行对流扩散方程的离散时, 则运用迎风格式. 通过数值计算得到了正常情况下Willis环各个血管任意位置的流量、压力和氧分压的变化曲线, 正常情况下各个位置的氧分压处于稳定的平衡状态. 最后, 还通过此模型进一步模拟了右侧颈内动脉狭窄对各个血管内流动的影响. 当狭窄程度达到80%时, 中脑动脉的流量和压力会明显下降, 造成其供应区域的血流减少. 同时, Willis环右侧血管内的氧分压会大大降低, 而左侧血管的氧分压会出现上升趋势, 但幅度要小于右侧血管降低的幅度.     

换热器管在支承板孔中悬浮时振动分析的简化方法与试验研究

本文建立了换热器管两端弹支、中间支承板孔中悬浮的力学模型,把板孔间隙的作用归结为附加质量和附加阻尼、分析了管在多个中间支承板中悬浮时的固有频率和阻尼比,并在静水中作了对比测试。结果表明,计算值与试验值吻合良好.     

无量纲混相驱对流-弥散方程的数值求解

给出了混相驱对流-弥散方程的无量纲形式;采用高阶精度差分格式对其进行数值求解并应用于几个具体算例中。本文数值结果和算例给出的结果对比,充分验证了本文数值模型的可靠性和准确性。该数值模型可以用来研究诸如土壤或地下水污染物输运以及空气污染等领域里的传质问题．     

对流边界层湍流特性的数值研究

采用大涡模拟方法研究了存在逆温层的情况下大气对流边界层的湍流特性。实际大气边界层中出现逆温层是较常见的，逆温层会导致大气边界层湍流结构的变化，从而影响大气的湍流扩散和输运特性。本文比较了不同逆温梯度的工况，着重分析了逆温层对边界层中热量逆梯度输运（counter gradient heat transportation，CGHT）的影响。计算结果表明：逆温梯度越大，对流边界层的发展越受到抑制；逆温层高度降低会影响整个对流边界层的温度抬升；逆温梯度越大，垂直速度方差越小；在逆温梯度较大的情况下，其逆梯度输运区域要略微低一些，初步分析认为是由于逆温层对热对流的抑制造成的；对于逆温层高度不同的情况，高度越低的逆温层对逆梯度输运的抑制作用更明显。     

PNF管内层流压降数值计算模型及偏差分析

为了建立管道非连续流体(PNF)输送时管内层流压降数值模型,基于牛顿流体和宾汉流体管内层流压降模型,考虑实际工程中气体在管道中低速运动的阻力对PNF输送阻力的影响,对PNF压降模型进行简化。结合工程实践详细分析了PNF管内层流压降近似表达式和相对精确表达式,并分析了二者之间的偏差。结合对工程数据的分析,验证了PNF管内层流压降模型的有效性。结果表明:当PNF流量增大或输送管管径减小时,使用压降近似公式与压降相对精确公式计算出的压降值之间的偏差会减小。通过与实测值对比表明,本文模型较好地描述了PNF输送时的压降。其中压降近似模型的精度更优(计算值与实测值的偏差率为1.16%~8.33%),且求解更方便。     

An improved nonlinear model for an automotive shock absorber

A new physical model for a shock absorber is presented which provides a more realistic representation of the stiffness characteristics than previous simple models. The new model is validated on experimental data.     

Nonlinear dynamic responses of twin-tube hydraulic shock absorber

Basically on the multi-body system dynamics, the virtual prototype of the hydraulic shock absorber for the bench test is developed in the ADAMS environment. Dynamic behaviors of the absorber are studied by both computer simulation and real test. Numerical predictions of dynamic responses are produced by the established virtual prototype of the absorber and compared with experimental results. It has been shown from the comparison that the vibration behaviors of the prototype with hysteretic damping characteristics are considered to be more identical with the bench test results than those of the same prototype with piecewise linear damping properties are. The current virtual prototype of the shock absorber is correct and can be a developing terrace for the optimizing design of the absorber and matching capability of the whole car.     

A three dimensional approach to model steel wire ropes used in high energy absorber apparatus

The modeling method and dynamical characteristics of steel wire ropes has been researched for several decades. In the past, steel wire ropes were usually modeled as a two dimensional system, which was only suitable for the planar motion. Also, no kink-wave propagation was considered when steel wire ropes were used in relatively low speed engineering application areas. By contrast, a three dimensional approach to model steel wire ropes used in high energy absorber apparatus is presented in this paper. Three dimensional contacts between steel wire ropes and other objects and kink-wave propagation in steel wire ropes are taken into consideration when applying the new approach to model steel wire ropes. Compared to the two dimensional model of steel wire ropes, the proposed model regards steel wire ropes as a multi-body system consisting of identical cylindrical elements with 6 degrees of freedom connected by space constraints. Impact forces generated by three dimensional contacts between steel wire ropes and other objects are calculated and theories of elastic wave propagation are applied to analyze the kink-wave propagation when steel wire ropes are loaded with a sudden perpendicular impact by a high speed moving object. In addition, mathematical model of steel wire ropes is established and numerical simulation of the three dimensional model of steel wire ropes is implemented. By comparing the simulation results with the experimental data available, the model of steel wire ropes proposed in this paper is demonstrated to be valid and correct. Therefore, the proposed modeling method can be treated as a new approach in the research field of modeling steel wire ropes. The dynamical characteristics of the steel wire ropes based on this new modeling approach are addressed simultaneously and plots of the dynamics of steel wire ropes cannot only be regarded as a basis for the further comparative studies, but also can provide some significant and interesting results.     

一种直降式滑橇减震器性能研究

为验证无人机伞降回收系统的直降式滑橇着陆装置的动力学性能,对其着陆缓冲过程进行数学模拟构造了该装置的动力学模型,通过数值求解得出了该装置缓冲过程的动态特性。对其着陆压缩过程的动力学模型进行了简化,计算结果可用于减震器参数的确定。落震试验结果表明:动力学模型能准确模拟着陆装置的缓冲过程;以5m/s着陆时过载仅为6.8g;本文所采用动力学模型的数值求解结果与实验结果一致,误差小于5%。     

液压减振器随机热力学模型与油温变化研究

为了获得具有更多信息和更加接近工程实际的液压减振器油温热力学模型,将随机不确定性理论引入到液压减振器油温传统热力学模型中进行研究。将液压油密度、导热系数、比热容和运动粘度作为随机变量,运用求解函数数字特征的代数综合法建立减振器随机热力学模型,进而获得油液传热过程规律。将油温随机热力学模型研究结果和传统模型的计算结果与实验结果进行比较,证明随机不确定性理论的引入可行且随机热力学模型比传统模型更加优越。     

Passive vibration absorber effect on the machining surface quality of a flexible workpiece

This paper presents a study of the vibratory behaviour of a flexible workpiece subject to a milling end operation. Indeed, this vibratory behaviour is critical, especially when the excitation frequency is near to the resonance. For this reason, passive vibration suppression is considered in order to attenuate the dynamic response of the milled workpiece and decrease the dynamic effect on the resulting machined surface roughness and flatness. In order to confirm the efficiency of the passive vibration suppression, the vibratory behaviour and the quality (roughness and flatness) of a machined surface are studied without and with passive absorber (TMD) using a finite-element model.     

The application of inerter in tuned mass absorber

In this paper we investigate the dynamics of tuned mass absorber with additional viscous damper and inerter attached to the pendulum. The devices are used to damp out oscillations of non-linear Duffing oscillator. Analysis of how these devices influence the dynamics of tuned mass absorber and its damping properties is shown. We calculate the detailed bifurcation diagrams and show how by changing the parameters of damper and inerter one can eliminate dangerous dynamic instabilities from the systems. Finally, in the last section we present an optimization of TMA׳s parameters in order to achieve best efficiency in damping of the main body vibrations.     

汽车模拟碰撞用液压缓冲器的动态仿真

汽车模拟碰撞(台车试验)用缓冲装置是汽车零部件安全试验中一个非常关键的设备。应用孔口节流理论，建立了汽车模拟碰撞用液压缓冲器的力学模型，同时对主要参数对模型的影响进行了具体的讨论。试验证明，进行参数优化后，计算曲线能够很好地模拟试验曲线。该仿真过程可以为类似液压缓冲器的理论建模和调试提供依据。     

Determination of volumetric elastic moduli of plant leaf cells based on pressure-volume curves

Volumetric elastic modulus (VEM) is an important parameter in biophysics and biomechanics of plants for in particular understanding cell growth. This paper proposes a new relation that can be used for precisely determining VEM. With the aid of this relation, it shows that the exponential approximation of the pressure-volume relationship adopted in most of the literatures in this field may lead to serious errors on VEM.     

弹体贯穿钢筋混凝土数值模拟

详细描述了依据损伤原理建立的连续损伤模型,并对该模型进行了改进。在LS DYNA程序用户自定义材料模型中加入改进的连续损伤模型,并对弹体侵彻钢筋混凝土的穿孔过程进行了数值模拟,其结果与实验结果相吻合,模型可以用于钢筋混凝土的动态破坏预报。