A Grobman–Hartman Theorem for Control Systems

We consider the problem of locally linearizing a control system via topological transformations. According to [2,3], there is no naive generalization of the classical Grobman–Hartman theorem for ODEs to control systems: a generic control system, when viewed as a set of under-determined differential equations parametrized by the control, cannot be linearized using pointwise transformations on the state and the control values. However, if we allow the transformations to depend on the control at a functional level (open loop transformations), we are able to prove a version of the Grobman–Hartman theorem for control systems.     

Shear and normal stress relaxation in polymer blends: stress predictions from interface velocity and Laplace pressure terms

We derived for the first time the relationships among shear stress and normal stress differences for ellipsoidal interfaces under large step shear strains considering interface velocity term and Laplace pressure term in the expression of the stress tensor for mixtures of two Newtonian fluids. In the derivation, orientation angle of the interface is assumed to be given by the affine deformation assumption and is independent of time based on experimental results for blends with 0.048 ≤ K ≤ 0.54 where K is the ratio of droplet viscosity to matrix viscosity. For ellipsoidal droplets, the shear stress is only proportional to the first normal stress difference. On the other hand, for spheroidal droplets, proportionality among the shear stress, the first and the second normal stress differences was derived, and the ratio of the second normal stress difference to the first normal stress difference was given as a function of step strain. The shear stress and the first normal stress difference obtained experimentally satisfy the derived relationship, indicating applicability of the stress expression for polymer blends.     

冲击拉伸实验试件几何尺寸的研究

应用分离式Hopkinson拉伸实验技术研究了圆柱形冲击拉伸试件的长径比(L/D)对实验结果的影响,其中长径比从1到5。研究结果表明：对于LY12材料,L/D2.67的试件满足材料实验的要求,L/D2不能得到准确的材料参数。     

胶凝原油蠕变的时间-温度-应力等效性

黏弹性蠕变是胶凝原油重要的流变特性,要描述胶凝原油的黏弹性蠕变行为,必须同时考虑 应力、时间和温度等参数. 于是对胶凝原油进行了不同应力和不同温度下的蠕变实验,利用 时间-温度-应力等效原理分析了胶凝原油的非线性蠕变行为,得到了参考应力和参考温度下 的蠕变主曲线,并用黏弹性流变模型拟合得到了蠕变主曲线的表达式. 从而可以分别通过较 高温度和应力水平下的短期蠕变行为来预测较低温度和应力水平下的长期蠕变行为.     

皖中膨胀土的承载比(CBR)强度特性研究

针对皖中地区高速公路建设中遇到的膨胀土问题,选取合六叶高速公路典型土样开展了系统的承载比（CBR）特性试验研究,并在此基础上探讨了膨胀土作为路基填料的适用性。研究表明:（1）起始含水量对膨胀土CBR值影响显著,CBR最大值对应的含水量高于最佳含水量,且击实功越大,二者差值也越大;（2）CBR膨胀量随起始含水量增大而减小,起始含水量越低,CBR膨胀量就越大,路基的水稳性就越差;（3）当击实功较大时,膨胀土的最佳含水量较小,适合填筑的可变含水量范围较宽,建议现场施工控制采用重型击实标准;（4）在重型击实条件下,将弱膨胀土起始含水量控制在比最优含水量大2%⁴%范围内,能同时满足压实度和CBR值要求以用于填筑下路堤,中膨胀土作为路基填料时必须经过改性处理。研究结果对于在膨胀土地区进行公路建设具有参考意义。     

超静定型钢桁架优化设计的面积比法

满应力准则是对超静定型钢桁架进行优化设计的有效方法．但这种方法的主要缺点在于收敛速度很慢甚至不收敛,这给设计工作带来很大的不便．对问题进行了研究,在“型钢压杆稳定设计直接法”的基础上,提出了满应力优化设计的一种新方法——面积比法,有效地提高了设计过程的收敛速度,降低了设计成本,供有关结构设计人员参考．     

李萨如图形在检测系统中的应用

李萨如图形可以检测两个相同频率信号的相位差．主要论述具有惯性质量、弹簧和阻尼器的二阶加速度测量系统,其动态响应特性的分析方法,如何利用李萨如图形来检测力平衡式加速度传感器的动态特性,即幅频特性和相频特性,从而确定传感器的固有频率ω_n和阻尼比ξ,以此来评定传感器的综合特性．     

RAS one-equation turbulence model with non-singular eddy-viscosity coefficient

A simplified consistency formulation for P_k/ε (production to dissipation ratio) is devised to obtain a non-singular C_μ (coefficient of eddy-viscosity) in the explicit algebraic Reynolds stress model of Gatski and Speziale. The coefficient C_μ depends non-linearly on both rotational/irrotational strains and is used in the framework of an improved RAS (Rahman–Agarwal–Siikonen) one-equation turbulence model to calculate a few well-documented turbulent flows, yielding predictions in good agreement with the direct numerical simulation and experimental data. The strain-dependent C_μ assists the RAS model in constructing the coefficients and functions such as to benefit complex flows with non-equilibrium turbulence. Comparisons with the Spalart–Allmaras one-equation model and the shear stress transport k-ω model demonstrate that C_μ improves the response of RAS model to non-equilibrium effects.     

矩形中空夹层再生混凝土钢管短柱轴压试验研究

以截面形式、截面长宽比和混凝土类型为参数共设计了8根矩形中空夹层钢管混凝土试件,对其进行轴压实验并对其破坏形态、荷载-纵向应变关系曲线及外钢管横向应变发展规律进行分析。其中截面形式包括矩形套矩形和矩形套圆形两种,截面长宽比分别为1.25和1.5,混凝土类型包括普通混凝土和再生混凝土(再生粗骨料取代率为50%)两类。结果表明:对于截面形式相同的试件,长宽比较大者极限承载力更小,且其长边横向应变发展更快;对于长宽比相同的试件,矩形套矩形截面的试件长边横向应变发展比矩形套圆形截面的更快;混凝土类型对试件的极限承载力和破坏形态影响不大。最后运用有限元软件ABAQUS对8根短柱的轴压全过程进行模拟,并将有限元计算得到荷载-纵向应变曲线与实验实测曲线进行对比,两者吻合较好且互相验证。     

基于DIC的受载砂土颗粒体系的细观参数及运动分析

本文结合DIC方法对砂土体系进行可视化的直剪试验。通过对所采集的数字图片进行预处理,得到利于计算砂土体系细观参数的优质图片,经过图像分割和区域标记,最后利用MATLAB计算得到体系孔隙率、定向率和各向异性率等细观参数。对图像进行DIC计算分析,得到砂土颗粒体系的位移等值线云图,分析了体系内的砂土颗粒在直剪试验中的运动情况,并定性描述了位移突变对体系部分力链传递过程的影响。