基于IHBM的汽车非线性悬架系统定量研究

分析了汽车悬架系统和轮胎的非线性弹簧力和阻尼力,建立了二自由度汽车非线性垂向振动系统的动力学模型.结合增量谐波平衡方法(incremental harmonic balance method,IHBM),对该系统的动力学行为进行定量研究.推导其增量谐波平衡过程,研究增量谐波平衡法的迭代计算过程,采用几个不同的谐波次数,计算系统的近似周期解,确定周期解的稳定性;同时,以路面激励圆频率为参数进行了跟踪计算,得到系统主共振时的幅频响应特性.近似解的计算结果与数值计算结果的对比表明,增量谐波平衡方法的精度可灵活控制,且收敛速度快,结果可靠,是汽车强非线性动力学行为研究的有效方法.     

基于Broyden改进算法的航空发动机性能模拟研究

航空发动机特性计算的核心问题之一就是求解描述发动机部件共同工作的非线性方程组。目前,最常用的求解非线性方程组的方法是Newton-Raphson方法,但是Newton-Raphson方法,在迭代次数很多的情况下需要大量发动机气动热力过程计算,计算速度明显下降,同时Newton-Raphson方法还存在不收敛的问题。为了克服Newton-Raphson方法的缺陷,本文详细分析了航空涡轮发动机部件共同工作的非线性方程组的求解收敛性问题,分析了不收敛的机理,并发展了基于 Broyden方法求解发动机非线性方程组的改进算法。利用基于Broyden方法的改进算法对某型发动机进行一系列验证计算,通过分析计算结果,证明了采用Broyden方法可以提高发动机特性计算的计算速度并且改善发动机特性计算的收敛性。     

燃气轮机拉杆转子非线性动力学特性研究

针对燃气轮机组合式转子轮盘间存在的非线性刚度对转子动力学特性产生的特殊影响,对比研究了关于拉杆转子三次方和双线性两种非线性刚度模型的动力学特性:首先,基于双圆盘拉杆转子模型,通过三维有限元法计算得到其弯曲刚度随转角的变化规律;然后,采用三次方模型拟合非线性刚度,建立拉杆转子无量纲控制方程,并基于谐波平衡法和Broyden迭代优化算法计算稳态响应,进而分析系统参数对非线性响应的影响规律;最后,基于双线性刚度模型对比研究拉杆转子非线性响应。研究结果表明,两种模型均能模拟转子升降速过程中的幅值突变效应,但两种模型发生振幅突跳现象的原因不同,且在响应不稳定区域附近的动力学特性不同;三次方刚度模型对这种非线性现象的描述更加准确,其数值模拟结果具有更加丰富的非线性动力学行为;为避免突跳现象对转子系统造成的不良影响,通过调整非线性系统的特定参数能够改变幅频响应曲线中不稳定区域的位置,进而有效避免转子系统工作在不稳定的频率范围内。     

基于拟Broyden法的非线性系统参数优化迭代学习控制

为解决动力非线性系统跟踪控制问题,将拟Broyden法和参数优化迭代学习控制方法结合,即利用拟Broyden算法对系统雅可比矩阵进行迭代近似计算,通过参数优化对学习因子进行优化,提出了一种新的具有单调收敛特性的迭代学习控制算法.该算法不仅能够简化传统牛顿法中对系统雅可比矩阵求逆计算所带来的复杂性,而且从理论上证明了其具有单调递减的特性和全局收敛性.仿真结果表明,该算法能够精确地跟踪给定输入目标,具有实施简便和单调超线速收敛的特点.     

一维非线性弦平衡方程的有限元两重网格算法

针对一维非线性弦的平衡方程,构造了有限元两重网格算法,该算法只需要在粗网格上进行非线性迭代,而在所需要求解的细网格上进行一次线性运算即可。与非线性迭代直接求解结果进行对比可知,有限元两重网格算法在保持了计算精度的前提下,所用的时间更短,从而证明了该算法是一种求解非线性问题的高效方法。     

一种改进的逆Broyden算法

对解非线性方程组Broyden方法和逆Broyden方法进行了改进,构造了求解非线性方程组F(x)=0的一个迭代公式,并讨论了其收敛性,说明该算法是有效的.     

基于结点作用力和拉普拉斯平滑的单层球面网格处理方法

通过基于结点间作用力的方法和拉普拉斯平滑方法对传统凯威特型单层球面网壳进行了网格优化，得到两种新型的网格形式. 首先介绍了两种算法的计算原理及计算过程：基于结点间作用力的方法将杆件假设为弹簧，将结点向不平衡力的方向移动，从而得到一种杆件长度更加均匀的网格（SF网格）；采用拉普拉斯平滑方法也可得到一种更加流畅的网格（LS网格）. 然后，对凯威特网格、SF网格、LS网格进行了对比：在几何指标方面，对比了三种网格的杆件平均长度、杆件长度变化率和网格三角形形状系数；在力学性能方面，对比了三种网格在不同荷载模式下的弹性应变能和非线性稳定承载力. 数值分析结果表明，SF网格比LS网格具有更好的几何指标；在大部分情况下，SF网格与LS网格具有更低的应变能；三种网格的稳定极限承载力较为接近. 最后，从整体上看，SF网格具有最佳的整体力学性能；LS网格具有更好的网格流畅性；SF网格和LS网格的力学性能和网格流畅性均优于传统凯威特型单层球面网壳.     

基于结点作用力和拉普拉斯平滑的单层球面网格处理方法

通过基于结点间作用力的方法和拉普拉斯平滑方法对传统凯威特型单层球面网壳进行了网格优化，得到两种新型的网格形式. 首先介绍了两种算法的计算原理及计算过程：基于结点间作用力的方法将杆件假设为弹簧，将结点向不平衡力的方向移动，从而得到一种杆件长度更加均匀的网格（SF网格）；采用拉普拉斯平滑方法也可得到一种更加流畅的网格（LS网格）. 然后，对凯威特网格、SF网格、LS网格进行了对比：在几何指标方面，对比了三种网格的杆件平均长度、杆件长度变化率和网格三角形形状系数；在力学性能方面，对比了三种网格在不同荷载模式下的弹性应变能和非线性稳定承载力. 数值分析结果表明，SF网格比LS网格具有更好的几何指标；在大部分情况下，SF网格与LS网格具有更低的应变能；三种网格的稳定极限承载力较为接近. 最后，从整体上看，SF网格具有最佳的整体力学性能；LS网格具有更好的网格流畅性；SF网格和LS网格的力学性能和网格流畅性均优于传统凯威特型单层球面网壳.     

应用牛顿法的高压直流输电系统非特征谐波潮流算法

针对高压直流输电系统非特征谐波潮流算法中非线性方程组具有变量多、维数高的特点,采用牛顿-拉夫逊算法迭代求解,提高了非特征谐波算法的收敛性,推导了换流装置交流侧三相电流和直流侧电压及Y、d换流变压器Δ绕组内零序环流的解析式.根据交、直流网络与换流装置的相互关系,组成换流站母线三相谐波电流平衡方程、直流网络谐波电流平衡方程,形成了修正方程式,以统一基波和特征谐波潮流结果为初值,运用牛顿-拉夫逊算法迭代求解全系统非线性方程组.采用该算法计算了南方电网云广±800 kV特高压直流输电系统非特征谐波潮流,计算结果合理,收敛性良好,证明了所提算法的正确性和有效性.     

电力系统谐波计算方法

本文应用谐波平衡原理,为电力系统谐波计算提出了一种新的计算方法,该方法把迭代变量压缩到非线性负荷端口,大大减少了迭代变量,从而使电力系统谐波计算可以在微机上实现。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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