轴向运动弦线横向振动的线性反馈控制

研究轴向运动弦线和作动器组成的耦合系统的横向振动控制。此系统被作动器分成未控和受控两部分,通过作用在作动器上的控制力对受控部分的横向振动进行控制。采用能量方法获得反馈控制规律,得到两种控制力,并用半群理论证实受控弦线横向振动的渐近稳定性和指数稳定性。在初始扰动和激励力作用下,通过数值仿真证实控制规律的有效性。     

Nonlocal and strain gradient effects on nonlinear forced vibration of axially moving nanobeams under internal resonance conditions

Based on the nonlocal strain gradient theory(NSGT), a model is proposed for an axially moving nanobeam with two kinds of scale effects. The internal resonanceaccompanied fundamental harmonic response of the external excitation frequency in the vicinities of the first and second natural frequencies is studied by adopting the multivariate Lindstedt-Poincaré(L-P) method. Based on the root discriminant of the frequencyamplitude equation under internal resonance conditions, theoretical analyses are p...     

弹性动力学轴对称问题的理论解

本文给出了弹性动力学轴对称问题基本方程的一种理论解。它由满足非齐次边界条件的准静态解和满足齐次边界条件的动态解的叠加构成。在求得准静态解后,代入基本方程,得到动态解所需满足的非齐次方程。由相应的齐次方程的特征值问题,定义了有限Hankel变换。通过这种变换及Laplace变换,求得动态解,从而得到了一个完整的理论解。文中通过对一个实例求解,表明该方法求解过程简便,实用,求解结果精确。     

On the regularity of the axially symmetric solutions to the three‐dimensional MHD equations

We present the improved three‐dimensional axially symmetric incompressible magnetohydrodynamics (MHD) equations with nonzero swirl. We consider three kinds of smooth axially symmetric particular solutions to the MHD equations: (1) u^θ=0,B^r=B^z=0, (2) B^r=B^z=0, and (3) B^θ=0. In particular, we derive new regularity criteria for these three kinds of the three‐dimensional axially symmetric smooth solutions to the MHD equations. Our results also reveal some interesting dynamic behavior of the interaction by the angular vorticity field ω^θ and the angular current density field j^θ. Copyright © 2016 John Wiley & Sons, Ltd.     

介质加载天线阵的瞬态辐射特性

 提高天线增益和辐射效率是瞬态天线研究的重要内容之一。通过设定高斯脉冲激励波形,导出了瞬态辐射的能量阵列因子,分析了1维对称均匀天线阵列的瞬态辐射特性。结果表明:阵列的辐射波形与观察时间区间和角度有关,瞬态与稳态特性差异明显,时域辐射方向图与脉冲宽度有关,阵列可实现时域波束扫描。设计了介质加载天线阵,并采用3维电磁场分析软件进行了时域仿真计算,分析了介质加载对天线辐射特性的影响。研究表明:有介质加载的天线前向辐射电场峰值比没有介质加载的天线增加逾1倍,即瞬态辐射功率增大了3倍多,通过对计算和仿真结果的分析比较,验证了分析和设计方法的正确性和有效性。     

指数程序薄涂柱气相色谱法测定甲胺磷

甲胺磷是一种兼具杀虫、肥料两种性能的高效、广谱农药,由于甲胺磷加热到一定温度时分解(185～190℃),所以其色谱分析时操作温度不能太高,用气相色谱法测定甲胺磷已有报道,但用指数程序薄涂柱气相色谱法测定尚未见报道,该法选择了DEGS为固定液,将0.34％、0.49％、0.7％的DEGS涂在80～100目硅烷化玻璃微球载体上,填入1 m不锈钢色谱柱进行测定,当柱温为150℃时甲胺磷即与其它成分分离,出峰时间仅为2.25 min,且峰形对称,这样既避免了操作温度高易使甲胺磷分解的缺陷,又提高了定量的准确性和分析速度,该法应用于多种样品中甲胺磷的测定,结果令人满意。     

轴向运动导电薄板磁弹性耦合动力学理论模型

针对磁场环境中轴向运动导电薄板的动力学理论建模问题进行研究,得到较为完备的磁弹性耦合振动基本方程及相应的补充关系式.在考虑几何非线性效应下,给出薄板运动的动能、应变能以及外力虚功的表达式.应用啥密顿变分原理,推得磁场中轴向运动薄板的非线性磁弹性耦合振动方程,并得到力和位移满足的边界条件.基于麦克斯韦电磁场方程,并考虑相应的电磁本构关系和电磁边界条件,推得任意磁场环境中轴向运动导电薄板满足的电动力学方程和所受电磁力表达式.分别针对纵向磁场环境、横向磁场环境、条形板等具体情形,给出振动方程、电动力学方程和电磁力的简化形式.所得结果,可为此类问题的进一步求解和分析提供理论参考.     

源嵌入正折射率传输线介质板内的倏逝波和成像特性

提出了点源嵌入正折射率介质板进行亚波长成像的新方法,分析了位于负折射率媒质里的正折射率介质板内外的电压倏逝波和电压传播波分布。正和负折射率媒质分别由2维未加载传输线和2维加载电感、电容传输线网络组成。微波电路和数值仿真结果都显示由于板内增大的倏逝场,在正折射率介质板的两个界面附近出现了很大的电压幅度,该结果证实了该正折射率介质板透镜能够恢复电压倏逝波,从而提高像的分辨率。     

分光计的调节要求及系统误差分析

本对分光计调节过程中允许产生的系统误差进行分析,并以分光计测量玻璃三棱镜顶角的实验为例给出定量讨论。     

Some issues regarding spectral element meshes for moving journal bearing systems

This paper concerns the modelling of dynamically loaded journal bearing systems using a moving spectral element method. The moving grid method employed in this paper is the arbitrary Lagrangian–Eulerian (ALE) method. The ALE methodology is compared with a quasi‐Eulerian approach in the context of dynamically loaded journal bearings and the advantages of adopting the ALE formulation are highlighted. A comparison with the predictions of lubrication theory is also presented and the limitations of the lubrication approximation are demonstrated when inertial effects are significant. A comprehensive set of results is presented illustrating the salient features of the spectral element mesh generation schemes described in the paper and the way in which these impinge on the efficiency of the iterative solution of the discrete equations at each time step. Copyright © 2005 John Wiley & Sons, Ltd.