考虑端部质点的中心刚体-楔形梁系统动力特性研究

对带有端部质点的中心刚体-楔形梁系统的动力学特性进行了研究．楔形梁为Euler Bernoulli 梁,其宽度与高度随着长度方向改变．采用假设模态法对楔形梁的变形场进行离散,在考虑梁的横向和纵向变形以及由于横向弯曲而引起的纵向缩短量的条件下,运用第二类拉格朗日方程推导出系统的动力学方程,并编制动力学仿真软件．通过仿真算例对系统的动力学特性进行研究,结果表明：同等条件下梁的形状与有无端部质点对系统的刚柔耦合动力学响应以及系统频率的影响十分明显．因此采用楔形梁结构进行仿真更具实际意义且仿真结果更加精确．     

用切比雪夫多项式研究短梁的弯曲计算

考虑剪切效应,利用切比雪夫多项式构造严格满足表面切应力边界条件的轴向位移表达式,建立了短梁弯曲问题的新理论．利用奇异函数把作用在短梁上的复杂外载荷表示为分布载荷,推导出了短梁弯曲时的截面正应力公式及挠曲线表达式．把采用切比雪夫多项式推导出短梁的弯曲计算公式计算结果与弹性理论计算结果进行比较,可知该方法的计算精度较高．研究结果表明：在复杂外载荷作用下,当长高比小于等于6时,剪切变形对梁的弯曲挠度影响较大,而当长高比小于3时,剪切变形对梁的弯曲应力影响较大;因此建议采用切比雪夫多项式方法给出的挠度表达式、弯曲应力进行计算,因为切比雪夫多项式方法不但给出了复杂外载荷作用下梁截面挠度、弯曲应力的计算通式,而且该方法具有计算过程简便、精度高的优点．     

考虑剪切效应的旋转FGM楔形梁刚柔耦合动力学建模与仿真

本文对一类中心刚体-柔性梁系统在大范围转动下的刚柔耦合动力学问题进行了研究. 柔性梁为功能梯度材料(functionally graded materials, FGM)楔形变截面梁,材料体积分数在梁轴向呈幂律分布变化. 以弧长坐标来描述柔性FGM梁的几何位移关系,分别使用倾角和拉伸应变变量描述柔性梁的横向弯曲和纵向拉伸变形,并计及剪切效应. 采用假设模态法离散变形场,运用第二类拉格朗日方程进行方程推导,得到系统考虑剪切效应的刚柔耦合动力学模型. 基于全新的刚柔耦合动力学建模理论,研究不同轴向材料梯度分布的FGM楔形梁,通过数值仿真计算,分析讨论不同的转速、梯度分布规律以及变截面参数对系统动力学特性的影响. 结果表明,剪切效应对大高跨比的FGM楔形梁的变形影响较为明显,不容忽略;材料梯度分布规律和截面参数的选取均会对旋转FGM楔形梁的动力学响应和频率产生较大影响. 本文提出的考虑剪切效应的倾角刚柔耦合动力学模型是对以往非剪切模型的进一步完善,可应用于工程中的 Timoshenko梁结构的动力学问题求解.      

NUMERICAL SIMULATION OF CRACK GROWTH OF REINFORCED CONCRETE FLEXURAL MEMBERS BASED ON XFEM1)

基于最大主应力准则,利用扩展有限元法对钢筋混凝土三点弯曲梁的裂纹扩展进行数值模拟。通过与已有模型试验结果的比对,验证了该方法的准确性与有效性。研究发现,带裂纹钢筋混凝土构件的裂纹扩展与力学性能不但受到单裂纹的尺寸、位置、倾角的影响,而且还受多裂纹间位置关系的影响;其中,裂纹横向分布位置和裂纹纵向分布位置是影响带裂纹钢筋混凝土梁裂缝扩展的主要因素。     

Analysis of chaos behaviors of a bistable piezoelectric cantilever power generation system by the second-order Melnikov function

By applying the second order Melnikov function, the chaos behaviors of a bistable piezoelectric cantilever power generation system are analyzed. Firstly, the conditions for emerging chaos of the system are derived by the second order Melnikov function. Secondly, the effects of each item in chaos threshold expression are analyzed. The excitation frequency and resistance values, which have the most influ-ence on chaos threshold value, are found. The result from the second order Melnikov function is more accurate compared with that from the first order Melnikov function. Finally, the attraction basins of large amplitude motions under different exciting frequency, exciting amplitude, and resistance para-meters are given.     

Dynamics of quadruple laser pulses in under‐dense plasmas

An analysis of dynamics of a quadruple laser pulse propagating through an under‐dense plasma is presented. The Drude model is used to derive the dielectric function of the plasma for relativistic non‐linearity in the electron mass. An approximate numerical solution of the nonlinear Schrödinger wave equation for the field of the laser beam is obtained with the help of the moment theory approach in the Wentzel–Kramers–Brillouin (WKB) approximation. Particular emphases are placed on the variations of spot size, pulse width, and longitudinal phase delay with the distance of propagation through the plasma. Self‐trapping of the laser pulse is also investigated.     

Piezoelectric effect on transversal vibrations and buckling of a beam with varying cross section

In this study, the static and dynamic response of a system composed of an Euler-Bernoulli beam with axially restrained ends and a pair of piezo patches symmetrically bonded at a specified localization is investigated. The system is kinematically loaded as a result of the prescribed displacement of one or both supports. By applying an electric field to the piezo patches a residual in-plane stress is generated in the system. The residual force, depending on the direction of the electric field vector, may diminish or enhance the system buckling capacity as well as affecting its natural vibration frequency. In order to acquire approximate solutions to the non-linear dynamic equilibrium equation, a version of the Lindstedt-Poincare method is utilized. With this in mind, the transversal displacements, vibration frequency and axial dynamic force are expanded into exponential series with respect to the small amplitude parameter. The numerical results show the effect of the structural parameters and induced axial piezoelectric force on the stability of the system and its vibration frequency. The amplitude-frequency relationship of the actuated system is also investigated.     

偏振显示及椭圆偏振光测量实验

以单束正交线偏振光为光源,利用角向偏振显示器,采用CCD摄像机进行图像采集,利用Matlab软件进行图像处理,设计了一种由He-Ne激光器、角向偏振显示器组成的偏振光偏振方向显示系统,并研究了其角度特性.实验结果表明:系统在起偏器的起偏角分别为0°、90°、180°、270°、360°时,角向偏振显示器偏振显示角度的测量准确度分别为0.480°、0.168°、0.528°、0.421°、0.340°,测量精确度分别为0.208°、0.576°、0.660°、0.603°、0.466°,测量数据拟合曲线的线性相关系数为0.999.结合1/4波片,检偏器和分光比为50:50的分束器,构建了椭圆偏振光测量系统,完成了椭圆偏振光测量实验,椭圆率为0.198.     

用于强流中子发生器的低能束流传输线的设计模拟

兰州大学设计研发的ZF-400强流中子发生器设计D-T中子产额6×1012 n/s,主要由ECR离子源、低能束流传输线（LEBT）、加速管、旋转靶等部分组成。LEBT负责将从离子源引出的束流进行分析聚焦并注入到加速管中。LEBT对束流的聚焦及分析的好坏程度决定了加速管中束流的损失程度、中子的产额以及靶的寿命。本工作就该强流中子发生器所需的低能传输线进行了设计。使用螺线管、分析磁铁和四极透镜组合的方案。利用TRACK软件对此方案进行模拟,得到符合要求的束流线及元件的参数。用TraceWin进行了验证模拟,验证结果符合要求。另外,通过软件模拟确定了杂质离子损失的位置,据此设计了束流管道冷却方案。通过模拟发现,这种透镜的组合方式可以让整个LEBT以较低的功率获得低损失、高纯度的打靶束流。The ZF-400 Intense Neutron Generator, which is designed by Lanzhou University with an expected neutron yield of 6×1012 n/s, is consist of ECR ion source, low energy beam transport (LEBT) line, accelerating tube and rotating target. The beam extracted from ECR source is analyzed and focused through LEBT, then, the beam is introduced into the accelerating tube. The focus and analysis ability of LEBT is very important for the beam loss, neutron yield and target's life. A LEBT line for intense neutron generator is designed in this paper, the project consisted of a solenoid, a bend magnet and three quadrupole lens. The qualified LEBT and its parameters have been got through the simulation with TRACK code. Then TraceWin program was employed to check this simulation and the result satisfied our requirement. Besides, the loss position of impurity ions was known through the simulation, and a project of beam line's cooling system was designed according to this result. Through the simulation, we find the optimal lens combination plan which can obtain lower beam loss and higher beam purity at low running power of LEBT.     

部分相干Airy光束在大气湍流中的光强演化

为了利用Airy光束的无衍射、自恢复和自弯曲特性抑制大气湍流效应,实现远距离无线光通信,对部分相Airy光束在大气湍流中传输时的光强演化进行了研究.利用高斯-谢尔模型的交叉谱密度函数、广义惠更斯-菲涅尔原理以及Rytov相位近似法,推导了部分相干Airy在湍流大气中平均光强的表达式.分别从传播距离、湍流强度等方面对光强分布的影响进行了模拟仿真,并对光束自身参数对光强分布的影响进行了相关实验验证.结果表明:随着传播距离的增加,部分相干Airy光束的旁瓣逐渐衰减,主瓣逐渐扩散;在传播足够远时,其旁瓣逐渐消失,主瓣逐渐演化为高斯分布.仿真和实验结果一致表明光束的截断因子越小、特征长度和相干长度越长,光束的光强分布保持越完整.