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Comparing Nonlinear Free Vibrations of Timoshenko Beams with Mechanical or Geometric Curvature Definition 比较力学曲率和几何曲率定义下Timoshenko梁的非线性自由振动
Pub Date : 2017-01-01 DOI: 10.1016/j.piutam.2017.03.006
Stefano Lenci , Francesco Clementi , Giuseppe Rega

The nonlinear free oscillations of a planar, initially straight Timoshenko beam are investigated by means of the asymptotic development method. Attention is focus on the difference in considering the “mechanical” vs the “geometric” curvature of the axis of the beam, which are different for extensible beams. A comparison of the results obtained by the two models is proposed, and it is shown when they are equivalent and when they give different nonlinear behaviours. A parametric analysis showing the effects of the slenderness (arbitrary, not necessarily large) and of the stiffness of the right-end axial spring is performed.

用渐近展开法研究了平面初直Timoshenko梁的非线性自由振动。注意的重点是考虑梁轴的“机械”和“几何”曲率的差异,这是不同的可伸缩梁。对两种模型的计算结果进行了比较,说明了两种模型的等效和不同的非线性行为。参数分析显示了长细比(任意的,不一定很大)和右端轴向弹簧的刚度的影响。
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引用次数: 27
Lagrangian Measurements in Turbulent Thermal Convection: About the Inhomogeneity of the Velocity and Temperature Fields 湍流热对流中的拉格朗日测量:关于速度场和温度场的不均匀性
Pub Date : 2017-01-01 DOI: 10.1016/j.piutam.2017.03.016
Olivier Liot , Julien Salort , Fanny Seychelles , Yoann Gasteuil , Jean-François Pinton , Francesca Chillà

Turbulent thermal convection is a complex problem: the flow is forced at almost all scales, because of the presence of both large scale circulation and small scale plumes. Moreover the difference of density induced by temperature adds an ingredient in the basic equations of the flow, so that turbulence could be different from the case of pure mechanical forcing. Mixing is in principle different and probably increased because of the structure of the plumes. Moreover the entire flow is not homogeneous (at least at large scales) and the statistical behaviour can be influenced by the large scale flow. One way to probe all these specific effects is to use a Lagrangian point of view, measuring, for example, Lagrangian transport of velocity and temperature, or heat flux. We will show how the inhomogeneity of the mean temperature and velocity fields affect the heat flux. Then the interactions between the mean fields and the Lagrangian fluctuations will be highlighted.

湍流热对流是一个复杂的问题:由于大尺度环流和小尺度羽流的存在,几乎在所有尺度上流动都是被迫的。此外,温度引起的密度差在流动的基本方程中增加了一个成分,因此湍流可能不同于纯机械力的情况。混合在原则上是不同的,并且可能由于羽流的结构而增加。此外,整个流动不是均匀的(至少在大尺度上),统计行为可能受到大尺度流动的影响。探索所有这些特定效应的一种方法是使用拉格朗日的观点,例如测量拉格朗日速度和温度的输运,或热通量。我们将说明平均温度场和速度场的不均匀性如何影响热流密度。然后强调平均场与拉格朗日涨落之间的相互作用。
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引用次数: 3
Hydrodynamic Boundary Conditions Derived from Onsager's Variational Principle 由Onsager变分原理导出的水动力边界条件
Pub Date : 2017-01-01 DOI: 10.1016/j.piutam.2017.03.020
Xinpeng Xu, Tiezheng Qian

In addition to hydrodynamic equations in the bulk region, proper hydrodynamic boundary conditions are essential to theoretically understanding and numerically simulating the hydrodynamics of many soft matter systems, e.g. two-phase flows on solid surfaces and viscoelastic fluids on solid surfaces. In this work, we show that Onsager's variational principle, first proposed by Lars Onsager in his seminal work in 1931, provides a convenient instrument for deriving not only hydrodynamic equations in the bulk region but also thermodynamically consistent hydrodynamic boundary conditions. To demonstrate its applications, we consider one-component liquid-vapor flows and immiscible two-phase flows on solid surfaces where moving contact line is involved.

除了体积区域的流体动力学方程外,适当的流体动力学边界条件对于从理论上理解和数值模拟许多软物质系统的流体动力学至关重要,例如固体表面上的两相流和固体表面上的粘弹性流体。在这项工作中,我们证明了由Lars Onsager在1931年的开创性工作中首次提出的Onsager变分原理,不仅提供了一个方便的工具来推导体积区域的水动力方程,而且还提供了热力学一致的水动力边界条件。为了证明它的应用,我们考虑了固体表面上涉及移动接触线的单组分液-气流动和不混相两相流动。
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引用次数: 7
Control of Complicated Stress Oscillations in FGPM Thin Plates FGPM薄板复杂应力振荡的控制
Pub Date : 2017-01-01 DOI: 10.1016/j.piutam.2017.03.027
Fumihiro Ashida , Takuya Morimoto , Hidenori Ozaki

Analytical solutions to one-dimensional electro-elastodynamic problems in functionally graded piezoelectric material thin plates subjected to impact pressure are obtained. In the case where both surfaces of the thin plate are free of electric charge, the stress oscillation is periodic when the mechanical impedance is independent of the space-variable, whereas it is complicated when the impedance depends on the space-variable. In the case where the voltage between both surfaces of the thin plate is zero, the stress oscillation is complicated whether the impedance is independent of or dependent on the space-variable. The complicated stress oscillations are found to be suppressed completely by applying specific voltages determined from the analytical solution.

得到了冲击压力作用下功能梯度压电材料薄板一维电弹动力学问题的解析解。在薄板两表面均无电荷的情况下,当机械阻抗与空间变量无关时,应力振荡是周期性的,而当机械阻抗与空间变量有关时,应力振荡是复杂的。在薄板两表面电压均为零的情况下,无论阻抗是独立于空间变量还是依赖于空间变量,应力振荡都是复杂的。通过施加由解析解确定的特定电压,可以完全抑制复杂的应力振荡。
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引用次数: 2
Noise-induced Resonances in a Periodic Potential Driven by Correlated Noises 由相关噪声驱动的周期电势中的噪声诱发共振
Pub Date : 2017-01-01 DOI: 10.1016/j.piutam.2017.08.035
Yanfei Jin , Wenxian Xie , Kaihe Liu

The coherence resonance (CR) and stochastic resonance (SR) in a periodic potential driven by correlated additive and multiplicative noises are studied in this paper. The effects of the system parameters on the probability density function (PDF) of the response are discussed by using the Monte-Carlo simulation. The shapes of the average joint PDF are changed from two independent peaks to a crater shape as the amplitude of the periodic force increases. The output spectrum and qualify factor are introduced to measure the CR. The qualify factor shows a pronounced peak and the intrawell CR appears. The amplitude and the phase lag of the average response first increase with increasing multiplicative noise intensity, attain a maximum, and then decrease. That is, the SR happens.

研究了由相关加性和乘性噪声驱动的周期势中的相干共振(CR)和随机共振(SR)。通过蒙特卡罗模拟,讨论了系统参数对响应概率密度函数的影响。随着周期力振幅的增大,平均节理应力的形状由两个独立的峰变为一个坑形。引入输出谱和限定因子测量井内CR,限定因子有明显的峰值,井内CR出现。随着乘性噪声强度的增加,平均响应的幅值和相位滞后先增大,达到最大值后减小。也就是说,SR发生了。
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引用次数: 4
Sheet flow measurement in the north passage of Yangtze estuary with pedestal based synchronous field survey system 基于台座式同步野外测量系统的长江口北槽片流测量
Pub Date : 2017-01-01 DOI: 10.1016/j.piutam.2017.09.021
Xiao Jia , Hua-Cong Huang , Yuan-Ye Wang , Hua Liu

In order to measure sheet flow near the bottom in the north passage of Yangtze Estuary during the typhoon, a submerged synchronous field survey system composited of Nortek AquaPro, Nortem AquaPro HR, AWAC and OBS 3+ was equipped on a pedestal based structure. The system was used to survey sheet flow field during the flooding season in 2015. The pedestal base synchronous field survey system can give reasonable estimation about stability of itself, and also capture simultaneously the wave climate as well as the current feature and the sediment concentration near the bottom. Analyzing the data collected by the system, it is found that the tidal current dominates the sedimentation concentration near the bottom in the Yangtze Estuary without waves, and the only peak value of suspended sediment concentration occurs at the fall slack time. The suspended sediment concentration above 50cm to the bottom is usually not larger than 15kg/m3, and it is not significantly correlated with the wave. When typhoon happens, the suspended sediment concentration increases significantly below 30cm to the bottom. There are two peaks of the suspended sediment concentration at the spring slack and the fall slack time respectively.

为了在台风期间测量长江口北通道近底部的片流,在台座式结构上安装了由Nortek AquaPro、Nortem AquaPro HR、AWAC和OBS 3+组成的水下同步野外测量系统。该系统用于2015年汛期的片材流场测量。台基同步野外调查系统可以对其自身的稳定性进行合理的估计,并能同时捕获波浪气候、水流特征和近底沉积物浓度。对系统采集的数据进行分析发现,长江口近底沉积浓度主要由潮流主导,无波浪,悬沙浓度的唯一峰值出现在秋季松弛期。离底50cm以上的悬沙浓度通常不大于15kg/m3,与波浪的相关性不显著。台风发生时,底部30cm以下的悬沙浓度显著增加。悬沙浓度在春季松弛期和秋季松弛期分别出现两个峰值。
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引用次数: 0
Laser Post Annealing of Cold-sprayed Al–Ni Composite Coatings for Green Energy Tasks 用于绿色能源任务的冷喷涂Al-Ni复合涂层激光后退火
Pub Date : 2017-01-01 DOI: 10.1016/j.piutam.2017.06.010
Pavel A. Podrabinnik , Igor V. Shishkovsky

This paper considerers the principal feasibility of using cold gas dynamic spraying with laser post treatment technique to create Al-Ni composite coatings. The prepared mixture of two powders was coated on an aluminum substrate and laser annealed. As a result the AlxNy intermetallic phases were observed in the coating. Obtained laser-annealed coatings were studied by means of optical and electron microscopy (SEM), energy dispersive spectroscopy (EDS), X-ray diffractometry and compared with as-sprayed coatings. Effects of laser processing parameters, such as scanning speed, power and beam shape on microstructural evolution of the composite coatings were discussed and optimal regimes for laser assisted CS were determined.

本文探讨了采用冷气体动态喷涂激光后处理技术制备Al-Ni复合涂层的主要可行性。将制备好的两种粉末的混合物涂覆在铝基板上并进行激光退火。结果表明,涂层中存在AlxNy金属间相。采用扫描电镜(SEM)、能谱仪(EDS)、x射线衍射仪(xrd)等对激光退火涂层进行了研究,并与喷涂涂层进行了比较。讨论了扫描速度、功率和光束形状等激光加工参数对复合涂层微观组织演变的影响,确定了激光辅助CS的最佳工艺条件。
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引用次数: 0
Action of the Semi-infinite Plates on the Elastic Layer 半无限板对弹性层的作用
Pub Date : 2017-01-01 DOI: 10.1016/j.piutam.2017.03.007
Vladimir Babeshko , Olga Evdokimova , Olga Babeshko

The contact problem of acting of the two semi-infinite Kirchhoff plates on the elastic layer is considered. The vertical static stresses acts on the plates. The problem is to study the contact stresses concentrations between the plates and the layer in this block structure. It was proved that the contact stresses concentrations in the end-walls of the plats are the same as in the end-walls of the rigid stamps acted on the layer if the distance between the end-walls of the plates is not equal to zero and is equal the square of this stresses if this distance is equal to zero. It can induce the destruction of the materials in engineering or appearance of the earthquake in seismology.

研究了弹性层上两个半无限基尔霍夫板作用时的接触问题。垂直的静应力作用在板上。问题是研究该块体结构中板与层之间的接触应力集中。证明了当两板端壁之间的距离不等于零时,两板端壁的接触应力集中与作用于该层的刚性冲压件端壁的接触应力集中相同;当两板端壁之间的距离等于零时,接触应力集中等于接触应力的平方。它可以在工程上引起材料的破坏或在地震学上引起地震的出现。
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引用次数: 3
Some Remarks on Moving Sharp Interfaces 关于移动尖锐界面的一些注意事项
Pub Date : 2017-01-01 DOI: 10.1016/j.piutam.2017.06.005
Michael Wolff, Michael Böhm

We deal with some aspects of the general (mathematical) modeling of sharp interfaces (i.e. two-dimensional surfaces within a three-dimensional body) without and with own thermodynamical activity (i.e. with interfacial densities, fluxes and supplies). Questions of regularity of the quantities involved are especially addressed. We present a classification of sharp interfaces taking their relation to the remaining body as well as their thermodynamic behavior into account. After a short look into local balances at the interface we discuss a model of a shrinking body (due to mechanical treatment, e.g.) in the framework of sharp singular interfaces.

我们处理尖锐界面(即三维物体内的二维表面)的一般(数学)建模的一些方面,没有和有自己的热力学活动(即界面密度,通量和供应)。所涉及的量的规律性问题特别讨论。我们提出了一个尖锐界面的分类,考虑到它们与剩余体的关系以及它们的热力学行为。在对界面上的局部平衡进行了简短的研究之后,我们讨论了一个在尖锐奇异界面框架下的收缩体模型(例如,由于机械处理)。
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引用次数: 1
On Yield Criterion Choice in Thermoelastoplastic Problems 热弹塑性问题中屈服准则的选择
Pub Date : 2017-01-01 DOI: 10.1016/j.piutam.2017.06.020
Evgeniy P. Dats , Evgenii V. Murashkin , Narinder K. Gupta

The present study is devoted to the boundary value problem of coupled thermoelastoplasticity. The temperature depended yield criterion and Duhamel Neumann constitutive equation was used. The material subjected to uneven heat treatment under plane strain frameworks was considered. The new analytical solution of the problem of uneven heat treatment of the thermoelasticplastic hollow cylinder was constructed within of the thermal stresses and plastic flow theories. The three different yield criteria were used. The original numerical scheme for calculations of temperature stresses and plastic strains in the frameworks of the von Mises yield criterion was developed and implemented. The characteristics of the plastic flow in the heating domain according to the yield criterion selection are eliminated. Constructed solutions of the boundary value problems were compared and analyzed for yield criteia of von Mises, Tresca and Ishlinsky-Ivlev.

本文研究了耦合热弹塑性的边值问题。采用温度屈服准则和Duhamel Neumann本构方程。考虑了材料在平面应变框架下的不均匀热处理。应用热应力理论和塑性流动理论,建立了热弹塑性空心圆筒热处理不均匀问题的解析解。采用了三种不同的产率标准。提出并实现了在von Mises屈服准则框架下计算温度应力和塑性应变的原始数值格式。根据屈服准则的选择,消除了加热区域的塑性流动特征。对比分析了von Mises、Tresca和Ishlinsky-Ivlev屈服准则边值问题的构造解。
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引用次数: 19
期刊
Procedia IUTAM
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