Reduced Fidelity Susceptibility in One-Dimensional Transverse Field Ising Model

We study critical behaviors of the reduced fidelity susceptibility for two neighboring sites in the onedimensional transverse field Ising model. It is found that the divergent behaviors of the susceptibility take the form of square of logarithm, in contrast with the global ground-state fidelity susceptibility which is power divergence. In order to perform a scaling analysis, we take the square root of the susceptibility and determine the scaling exponent analytically and the result is further confirmed by numerical calculations.     

热环境下功能梯度夹层双曲壳三维自由振动分析

功能梯度夹层双曲壳结构广泛应用在航空航天、海洋工程等领域中,对于该类结构的动力学特性研究非常重要。本文以热环境下功能梯度夹层双曲壳为研究对象,在三阶剪切变形理论的基础上,考虑横向拉伸作用的影响提出了一种新的位移场,假设材料的物性参数与温度有关,且沿厚度方向表示为幂律函数。利用Hamilton原理得到简支边界条件下功能梯度夹层双曲壳三维振动系统动力学方程,利用Navier法求得两种不同夹层类型的系统固有频率。研究了几何物理参数和温度场对功能梯度夹层双曲壳自由振动固有频率的影响。     

“V型”约束下泡沫铝夹芯圆管的准静态横向压缩性能研究

论文对受“V型”约束泡沫铝夹芯管的准静态横压性能进行了实验研究,观察到三种失效模式包括整体屈服、芯材剪切和局部凹陷.分析了泡沫铝夹芯管的几何参数和横向约束夹角的角度对其失效模式和承载与吸能能力的影响.结果表明,泡沫铝芯材的厚度对三种模式的竞争具有重要影响;在准静态横向压缩下,泡沫铝夹芯管的承载与吸能能力大于对应的空管;泡沫铝夹芯管的承载与吸能能力随着外管直径的增加而增加,随着内管直径的增加而减小;“V型”约束夹角的角度越大,泡沫铝夹芯管的承载与吸能能力也越高.     

考虑畸变影响的箱梁横向弯矩计算方法

为研究偏心垂向荷载作用下梯形截面单室箱梁的横向弯矩,对框架分析法计算箱梁横向弯矩的方程进行优化,并在刚性支承法的基础上提出一种更加简单的横向弯矩计算方法;与框架分析法不同,横向弯矩可采用能量变分法求解,建立以箱梁顶板剪力差为未知量的四阶控制微分方程,采用比拟的弹性地基梁解法解出剪力差,得出梯形截面单室箱梁横向弯矩的能量变分法解。对几种箱梁横向弯矩计算方法用两个算例进行验证,结果表明,能量变分法解将箱梁底板上的弯矩误差绝对值由15.41%降到了9.68%;本文方法得出的横向弯矩结果和有限元结果吻合较好,弯矩误差绝对值最大不超过6.01%;本文方法和能量变分法可有效降低箱梁底板上的弯矩误差,计算精度得到提高。     

电磁波导的半解析辛分析

根据电磁波导的Hamilton体系，辛几何可用于任意各向异性材料，而且便于处理不同区段的界面条件，横向的电场和磁场构成了对偶向量．基于Hamilton变分原理用半解析法进行横向离散应当保持体系的辛结构．离散后可以运用应用力学的有效算法，求解其辛本征值问题．每段波导可以引入两端Riccati矩阵，用精细积分法求解其方程组．     

风机塔筒结构横向振动特性的快速计算方法

本文提出了一种风机塔筒结构横向振动特性的快速计算方法．将机舱和叶片整体、连接法兰盘分别简化为集中质量,塔筒简化为非均匀悬臂梁,建立风机塔筒结构横向振动方程．给出了用假设模态法计算塔筒结构固有频率和模态函数的过程．通过与文献及有限元数值结果比较验证了方法的有效性．本文方法仅需给出结构的基本参数,如截面半径变化规律、法兰盘位置和质量、机舱及叶片质量,便可快速求解其频率和模态,无需建立其复杂的力学模型．     

FREE TRANSVERSE VIBRATIONS OF A DOUBLE-WALLED CARBON NANOTUBE：GRADIENT AND INTERNAL INERTIA EFFECTS

This is a modest contribution on higher-order continuum theory for predicting size effects in small-scale objects. It relates to a preceding article of the journal by the same authors（AMSS, 2013, 26： 9-20） which considered the longitudinal dynamical analysis of a gradient elastic fiber but, in addition to an internal length, an internal time parameter is also introduced to model delay/acceleration effects associated with the underlying microstructure. In particular, the free transverse vibration of a double-walled carbon nanotube（DWNT） is studied by employing gradient elasticity with internal inertia. The inner and outer carbon nanotubes are modeled as two individual elastic beams interacting with each other through van der Waals（vdW） forces. General explicit expressions are derived for the natural frequencies and the associated inner-to-outer tube amplitude ratios for the case of simply supported DWNTs. The effects of internal length（or scale）and internal time（or inertia） on the vibration behavior are evaluated. The results indicate that the internal length and time parameters of the adopted strain gradient-internal inertia generalized elasticity model have little influence on the lower order coaxial and noncoaxial vibration modes,but a significant one on the higher order modes.     

气体示踪法研究燃烧器横向湍流混合扩散特性

用气体示踪法对侧边风燃烧器弱旋流一次风和侧边直流二次风横向湍流混合扩散特性进行了详细研究，讨论了各截面混合物浓度分布规律及混合强度分布规律，分析对燃料着火的影响，同时利用湍流运动方程反算气体湍流扩散系数     

SOLITARY WAVES IN FINITE DEFORMATION ELASTIC CIRCULAR ROD

A new nonlinear wave equation of a finite deformation elastic circular rod simultaneously introducing transverse inertia and shearing strain was derived by means of Hamilton principle. The nonlinear equation includes two nonlinear terms caused by finite deformation and double geometric dispersion effects caused by transverse inertia and transverse shearing strain. Nonlinear wave equation and corresponding truncated nonlinear wave equation were solved by the hyperbolic secant function finite expansion method. The solitary wave solutions of these nonlinear equations were obtained. The necessary condition of these solutions existence was given also.     

位移模式对Cross—PLY矩形板热弹性响应的影响

本文建立了以Ｒｅｉｓｓｎｅｒ混合变分原理为基础的迭层板剪切变形理论来求解Ｃｒｏｓｓ－ＰＬＹ矩形板的热弯曲问题，用二种方式来模拟平面位移沿厚度的变化：将一阶剪切变形理论的平面位移叠加一项交错线性函数；设平面位移是分线性连续函数。为保证层间应力的连续性，将横向剪切应力处理成厚度坐标的二次函数，温度沿厚度线性变化。通过对称及反对称Ｃｒｏｓｓ－ＰＬＹ矩形板的热应力及挠度分析比较，指出了位移模式对热弹性响应