On some nearly viscometric flows of viscoelastic liquids

Superposition of oscillatory shear imposed from the boundary and through pressure gradient oscillations and simple shear is investigated. The integral fluid with fading memory shows flow enhancement effects due to the nonlinear structure. Closed-form expressions for the change in the mass transport rate are given at the lowest significant order in the perturbation algorithm. The elasticity of the liquid plays as important a role in determining the enhancement as does the shear dependent viscosity. Coupling of shear thinning and elasticity may produce sharp increases in the flow rate. The interaction of oscillatory shear components may generate a steady flow, either longitudinal or orthogonal, resulting in increases in flow rates akin to resonance, and due to frequency cancellation, even in the absence of a mean gradient. An algorithm to determine the constitutive functions of the integral fluid of order three is outlined.Nomenclature A _n Rivlin-Ericksen tensor of order . - A _k Non-oscillatory component of the first order linear viscoelastic oscillatory velocity field induced by the kth wave in the pressure gradient - d Half the gap between the plates - e _x, e _z Unit vectors in the longitudinal and orthogonal directions, respectively - G(s) Relaxation modulus - G History of the deformation - Stress response functional - I() Enhancement defined as the ratio of the frequency dependent part of the discharge to the frequencyindependent part of it at the third order - I ^*() Enhancement defined as the ratio of the increase in discharge due to oscillations to the total discharge without the oscillations - k Power index in the relaxation modulus G(s) - k _i ^–1 Relaxation times in the Maxwell representation of the quadratic shear relaxation modulus (s ₁, s ₂) - m _i ^–1, n _i ^–1 Relaxation times in the Maxwell representations of the constitutive functions ₁(s ₁,s ₂,s ₃) and ₄ (s ₁, s ₂,s ₃), respectively - P Constant longitudinal pressure gradient - p Pressure field - _mx ,⁽³⁾ _nz ,⁽³⁾ Mean volume transport rates at the third order in the longitudinal and orthogonal directions, respectively - ₀,⁽³⁾, ₁,⁽³⁾ Frequency independent and dependent volume transport rates, respectively, at the third order - s = t- Difference between present and past times t and      

Nonlinear analysis of the forced response of a beam with three mode interaction

An analysis is presented for the primary resonance of a clamped-hinged beam, which occurs when the frequency of excitation is near one of the natural frequencies,_n . Three mode interaction (₂ 3₁ and _{3 1} + 2₂) is considered and its influence on the response is studied. The case of two mode interaction (₂ 3₁) is also considered to compare it with the case of three mode interaction. The straight beam experiencing mid-plane stretching is governed by a nonlinear partial differential equation. By using Galerkin's method the governing equation is reduced to a system of nonautonomous ordinary differential equations. The method of multiple scales is applied to solve the system. Steady-state responses and their stability are examined. Results of numerical investigations show that there exists no significant difference between both modal interactions' influences on the responses.     

纺织结构复合材料力学性能的实验研究

本文通过实验测定了三维编织结构复合材料侧边未切割、受切割和中央钻孔试件的拉伸性能，对比了受切割和未切割纤维对于试件侧边拉伸应变的影响，并且讨论了拉伸失效的机理和原因．发现受切割和钻孔试件的拉伸性能低于未加工试件的性能，受切割侧边的拉伸应变高于未切割侧边的拉伸应变，三维编织结构复合材料的拉伸失效主要由纤维断裂引起的．文中还对三维编织结构复合材料的孔边应力集中现象进行了研究，并进行了深入分析，得到一个重要结论，即四步法复合材料的孔边应力集中系数比传统层板复合材料和金属材料的低．从这个意义上说，三维编织结构复合材料适合于作为含孔结构的连接件．     

地铁车站地下拱型结构的光弹性应力分析

本文用三维光弹性法，对地铁车站地下拱型结构进行了实验应力分析并绘出主应力迹线。文中还提出对加压用乳胶气囊进行高温、高压预处理工艺，使乳胶气囊和模型曲面很好地吻合，从而提高了加载的准确度。     

大空间三向组合平板网架研究

利用中心节点、交叉梁、三角形拉杆和空心板所构成承力单元的组合以及内部支承柱的自由布置,本文提出了一种新型大空间三向组合平板网架结构。相关的TDGS分析系统针对原型试验取得了较好的模拟效果。通过引入柱的局部影响区域这一全新概念,系统总结了加入内部支承柱前后网架结构的内力和变形规律,进而为进一步的工程应用提供了可行性建议。     

On the N-wave equations and soliton interactions in two and three dimensions

Several important examples of the N-wave equations are studied. These integrable equations can be linearized by formulation of the inverse scattering as a local Riemann-Hilbert problem (RHP). Several nontrivial reductions are presented. Such reductions can be applied to the generic N-wave equations but mainly the 3- and 4-wave interactions are presented as examples. Their one and two-soliton solutions are derived and their soliton interactions are analyzed. It is shown that additional reductions may lead to new types of soliton solutions. In particular the 4-wave equations with ?₂ × ?₂ reduction group allow breather-like solitons. Finally it is demonstrated that RHP with sewing function depending on three variables t, x and y provides some special solutions of the N-wave equations in three dimensions.     

径向轴承启动过程瞬态热效应的研究

联立求解广义雷诺方程、油膜瞬态三维能量方程、轴瓦瞬态三维固体热传导方程及轴颈的运动方程，并考虑粘度和密度随温度及压力的变化，在油膜与轴瓦界面使用热流连续性边界条件，确定了在承受稳态载荷时圆轴承在启动过程中的温度变化情况．介绍了一种有效的用于求解轴承瞬态性能的改进Newton—Raphson算法．结果表明：整个系统达到热平衡的时间与启动加速度的大小无关；启动加速度越高，温度升高越快；在启动过程中，油膜最高温度出现的位置沿膜厚方向而变化．同有关试验结果的对比证实所建模型和所用算法正确可行．     

大型渡槽动力设计方法研究

根据大型渡槽结构的特点,在缺乏适用的抗震分析模型前提下,提出支撑-渡槽-水伪三维流固耦合动力分析方法。模型基于结构动力分析理论和流固耦合分析理论,整体结构分析采用Newmark方法进行动力时程分析,分析中考虑渡槽结构整体受力性能,包括下部支撑结构、地基等多种因素的影响作用;渡槽-水耦合体子结构分析采用任意拉格朗日-欧拉(Arbitrary Lagrangian Eulerian,ALE)有限元方法进行动力分析,考虑渡槽-水的耦合相互作用,模拟渡槽中水体的大幅晃动作用,相应得出渡槽中动力压力值及其分布。以某排架支撑矩形渡槽为例,采用本文提出的伪三维模型进行地震时程分析,计算结果与三维模型计算结果吻合良好。本文提出的伪三维动力分析方法计算效率高,满足渡槽结构抗震设计要求,便于工程应用,是大型渡槽结构动力分析研究和抗震设计的实用静、动力分析方法。     

Water PMF for predicting the properties of water molecules in protein binding site

Water is an important component in living systems and deserves better understanding in chemistry and biology. However, due to the difficulty of investigating the water functions in protein structures, it is usually ignored in computational modeling, especially in the field of computer‐aided drug design. Here, using the potential of mean forces (PMFs) approach, we constructed a water PMF (wPMF) based on 3946 non‐redundant high resolution crystal structures. The extracted wPMF potential was first used to investigate the structure pattern of water and analyze the residue hydrophilicity. Then, the relationship between wPMF score and the B factor value of crystal waters was studied. It was found that wPMF agrees well with some previously reported experimental observations. In addition, the wPMF score was also tested in parallel with 3D‐RISM to measure the ability of retrieving experimentally observed waters, and showed comparable performance but with much less computational cost. In the end, we proposed a grid‐based clustering scheme together with a distance weighted wPMF score to further extend wPMF to predict the potential hydration sites of protein structure. From the test, this approach can predict the hydration site at the accuracy about 80% when the calculated score lower than ?4.0. It also allows the assessment of whether or not a given water molecule should be targeted for displacement in ligand design. Overall, the wPMF presented here provides an optional solution to many water related computational modeling problems, some of which can be highly valuable as part of a rational drug design strategy. © 2012 Wiley Periodicals, Inc.     

测量圆盘转动惯量产生误差的曲线研究

结合三线摆实验的基本过程,进行实验数据的采集。利用投影法来测量圆盘的转角大小,借助于matlab的cftool工具箱,对数据进行曲线拟合,对测出来的二组数据拟合,得到转角与百分差曲线图。通过误差的大小比较,得出圆盘转动惯量测量值与理论值的百分差随转角变化最接近于三次曲线。