大型空间结构热诱发振动的有限元分析

提出了基于有限元和模态分析的方法来研究大型空间结构热诱发振动。通过模态变换,利用振型向量与质量阵和刚度阵的正交性,得到解耦的运动方程。先求出广义激励下各模态的响应,然后叠加起来得到系统的总响应。对哈勃太空望远镜的太阳能帆板,运用所提出的方法求得的数值解和文献理论解符合得较好。针对复杂的空间结构,给出了频率、振型和热诱发振动的响应。     

空间结构热-动力学耦合系统稳定性的有限元分析

针对在轨航天器柔性附件的热-动力学耦合系统,提出了一种稳定性分析有限元方法。该系统的状态方程既包括考虑辐射换热且耦合了结构变形的非线性瞬态热传导方程,也包括与瞬态温度场相联系的结构动力学方程。由于结构变形对于受热条件的耦合影响以及辐射换热的存在,该系统具有高度非线性。借助于非线性振动理论,给出了系统热诱发振动的稳定性准则。针对不同的结构,可以计算出不同的运动稳定边界,该边界将参数空间分成了稳定区域和不稳定区域。对哈勃太空望远镜太阳帆板进行了稳定性分析,该方法所得数值解与文献结果一致。对更为复杂的卫星天线,用该方法给出其发生热颤振的参数条件,探讨了结构参数、加热条件对其热-动力学耦合系统稳定性的影响。     

含开口薄壁杆的大型空间结构热诱发弯扭振动

航天器部件因热诱发的弯扭耦合振动会发生破坏.为了解热诱发弯扭耦合振动的机理,发展了一种14个自由度的二节点开口薄壁梁单元.该单元综合考虑了翘曲、预应力与热应变的影响,得到特有的质量阵、刚度阵和载荷阵.与其他类型梁单元组集后,通过模态分析的方法,得到整个结构的动力学响应.对Hubble太空望远镜的太阳能帆板,用该方法求得的固有频率和固有振型的数值解与近似理论解符合甚好.该分析解释了热使太阳能帆板发生扭转破坏的原因.     

中心舱体-附件耦合系统热颤振有限元分析

在轨航天器的柔性附件在其进出地球阴影区时很容易发生热诱发振动现象.柔性附件的这种运动将会产生扰动弯矩作用于航天器主体之上,从而对航天器的姿态运动产生重要影响.该文针对实际航天器刚体-附件耦合系统发展了一种热-结构动力学耦合的有限元分析方法.该耦合系统的状态方程既包括与航天器刚体转动和柔性附件结构变形相耦合的非线性瞬态热传导方程,也包括与瞬态温度场相联系的结构动力学方程.该文以一个简单的hub-beam航天器系统为研究对象,对该耦合系统分别进行了热-结构非耦合和耦合分析.其中热-结构非耦合有限元分析的结果与已经存在的理论解结果显示了很好的一致性;热-结构耦合有限元分析结果表明航天器在某种条件下可能发生热颤振.     

热-力双向耦合下平板结构振动的非经典方程

结构热-力耦合振动支配方程是对结构进行动力学分析与控制设计的基础.本文基于三维热弹性动力学,研究了力热双向耦合条件下平板结构的力热耦合动力学问题.将代数Vieta定理与经典算子谱分解方法相结合,发展了算子谱分解方法在结构振动力学建模中的应用.选取适当的规范条件,在时域内首次分别构建了受热平板弯曲振动和拉压振动的精确化方程的具体形式.给出了力热双向耦合下平板结构中振动模式的频散关系曲线,并对平板振动的空间和时间演化规律以及结构振动的动态稳定性做了分析和讨论.本文结果是在没有采用经典假设下得到的,因此得到控制方程是较精确的.本文得到的平板力热耦合振动精化方程可用于求解高温下应力场和温度场都是动态变化的耦合问题,研究高温环境下热-力动态耦合机理、耦合模式以及动态响应.     

急速热冲击作用下实心球体的热弹性响应分析

基于线性热弹性理论,将修正的非傅立叶导热方程与热弹性运动方程联立,构建了急速热冲击作用下计及运动加速效应和非傅立叶效应的热弹性动力学模型.采用Laplace变换和有限汉克尔变换,推导了各向同性球形结构热弹性响应的解析解,通过计算得到了温度场、应力场的分布规律以及非傅立叶效应对热弹性响应的影响.结果表明:非傅立叶效应将加剧材料变形加速诱发的动态冲击作用,形成较常规传热更大的应力峰值,且随着热松弛时间的增大,非傅立叶效应对应力场的影响更为显著.     

受热平板振动精确化方程及其耦合响应模式分析

本文于三维热弹性动力学,采用微分算子方法和规范场理论,研究了平板构振动的力热耦合问题.选取适当的规范条件,实现了弹性变形场与温度场的耦,分别推出了受热平板热弹性弯曲振动的精确化方程和温度支配方程,并给出了描述力热耦合程度的无量纲判据.而后,于偏微分方程种类和的构造理论对受热平板构内力热耦合制和力热耦合响应模式等问题做了分析讨论.给出的平板构热弹性振动精确化方程及其分析果,可用于求高温下平板构内应力场和温度场都是动态变化的耦合问题.     

耦合热弹梁的横向自由振动特性

研究了温度场与位移场耦合热弹梁的振动特性.根据梁的运动微分方程和考虑变形影响的热传导方程,得到了温度场和应变场耦合情况下梁的耦合热弹振动微分方程.采用微分求积法建立了耦合热弹振动方程的特征方程,对耦合与非耦合情况下梁的固有频率进行了数值计算及分析,并分析了耦合与非耦合两种情况下梁的无量纲耦合系数和长高比对梁固有频率的影响.     

热环境中功能梯度材料Euler梁的自由振动

研究功能梯度材料Euler梁在温度场作用下的屈曲和自由振动行为.在精确考虑轴线伸长基础上,建立功能梯度Euler梁在热载荷作用下的几何非线性控制方程.将控制方程的响应分解为热过屈曲静态解和振动解两部分,得到功能梯度材料梁在热过屈曲构型附近小振幅线性自由振动的微分方程.其中,假设功能梯度的材料性质沿厚度方向按照幂函数连续变化,采用打靶法数值求解所得强非线性边值问题,获得在横向升温场内两端固定Euler梁的热过屈曲平衡路径以及前三阶固有频率的数值解.分析和讨论梁的材料梯度参数、温度场分布参数等因素对过屈曲变形和振动响应的影响.     

极坐标下板的非线性热弹耦合振动基本方程

从笛卡尔坐标系下板的非线性热弹耦合振动基本方程,导出了极坐标下板的大变形非线性热弹耦合振动基本方程,进而得出了轴对称情况下圆板的非线性热弹耦合振动基本方程。所得结果提供了极坐标下分析非线性热弹耦合振动问题的重要基础。     

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     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

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