A new higher-order shear deformation theory and refined beam element of composite laminates

A new higher-order shear deformation theory based on global-local superposition technique is developed. The theory satisfies the free surface conditions and the geometric and stress continuity conditions at interfaces. The global displacement components are of the Reddy theory and local components are of the internal first to third-order terms in each layer. A two-node beam element based on this theory is proposed. The solutions are compared with 3D-elasticity solutions. Numerical results show that present beam element has higher computational efficiency and higher accuracy.

Experimental investigation on partially coherent higher-order non-diffractive beams

We experimentally study the generation of a partially coherent non-diffractive beam by focusing a partially coherent vortex beam with an axieon. The investigation results show that when the partially coherent vortex beam is focused by the axicon, the beam is transferred into a partially coherent higher-order non-diffractive beam. In the non-diffractive zone, the transverse intensity distribution of the partially coherent higher-order non-diffractive beam is invariant during propagation. In addition, the range of the non-diffractive zone is related to the coherence of the partially coherent vortex beam. The poorer the coherence of the partially coherent vortex beam, the shorter the range of the non-diffractive zone.

Z-scan analysis of high-order nonlinear refraction effect induced by using elliptic Gaussian beam

The irradiance of an elliptic Gaussian beam that is high enough to excite high-order nonlinear refraction effect is used to calculate the normalized on-axis transmittance function in the z-scan technique by introducing complex beam parameters which make the calculation simpler. The transmittance formula is applied to the first-, first two-, and first three-order nonlinearities. Numerical evaluation shows that the symmetry no longer holds when using an elliptic Gaussian beam instead of a circular Gaussian beam. A distortion is observed in the central part of the curve, which decreases as ellipticity increases. Moreover, the variation of the normalized peak-valley difference decreases as ellipticity decreases.

固体激光器涡旋光束产生实验系统设计与实现

高质量的涡旋光束在量子信息、激光雷达、激光通信等领域有着广泛的应用前景。为了用固体激光器直接产生涡旋光束,该文基于谐振腔模式与激光介质作用的速率方程,阐述了在二极管端面泵浦固体激光器中通过环形光泵浦产生拉盖尔-高斯涡旋光的原理。设计了环形光泵浦固体激光器产生涡旋光的实验方案并搭建了实验系统。实验产生了角向阶次为1阶、2阶的涡旋光束,相位涡旋手性可通过微调谐振腔输出镜调节。该实验能够使学生利用固体激光器直接产生涡旋光束并观察涡旋光束的相位特性,有助于学生加深对激光谐振腔模式理论及涡旋光束相位特性的理解,为相关专业学生的课程教学提供有力支撑。

分数阶粘弹性地基上裂纹梁的自由振动

本文研究了分数阶粘弹性Pasternak地基上含多裂纹Euler梁的自由振动问题.首先,引入分数阶导数概念,建立粘弹性Pasternak地基模型,推导出地基应力-应变本构的复模量以及地基反力.其次,将裂纹等效成无质量扭转弹簧,借助于裂纹能量释放率和应力强度因子的关系,推导出梁的局部柔度.然后,基于传递矩阵方法,建立含多裂纹梁的分段传递矩阵进而得到总体传递矩阵.最后,基于梁的边界条件,建立求解裂纹梁的复固有频率及振型的线性代数方程组,数值求解得到含多裂纹梁的固有频率及振型.以含双裂纹的两端简支Euler梁为例,数值计算了复固有频率和振型.并基于曲率模态分析裂纹位置对复固有频率和振型的影响.数值结果揭示了粘弹性地基的分数阶系数、粘性系数以及裂纹位置和裂纹深度对复固频率和振型的影响规律.

基于零阶谐振器的低剖面宽带锥状波束微带天线研究

提出一种利用零阶谐振器实现锥状波束天线带宽展宽的新技术。天线将4个零阶谐振器加载到圆形贴片内,从而引进新的谐振,大大增加天线的带宽。该技术将天线的带宽从4.86%扩展到12.8%。天线增益达到5 dBi,最大辐射方向为36°。该天线具有结构简单、加工容易、剖面低和成本低的优点,在整个频段内具有良好的锥状波束特性,而且波束稳定性良好。

基于n阶剪切变形理论的表面梯度脱碳汽车前轴弯曲分析

汽车前轴在热锻和热处理过程中,材料的表面会发生一定深度的脱碳,脱碳层的力学性能随脱碳深度呈梯度变化,影响了前轴在载荷下的弯曲性能。利用分段函数构建两侧表面功能梯度变化、内部性能均匀的简支夹芯梁,根据n阶剪切变形理论研究梁在两点载荷作用下的弯曲行为。利用虚功原理推导出位移场控制方程,采用Navier解析方法得到简支边界条件下梁的弯曲行为,并与相关文献中的实例进行比较。结果表明:n阶剪切变形理论具有良好的精度与可靠性;梁的挠度与转角随脱碳指数k的增大而增大,并于k≈10处达到准稳态;脱碳深度大于5 mm时,脱碳层厚度对梁弯曲时产生应力的影响比梁的高度变化带来的影响更大;两侧脱碳深度不对称时,物理中性面发生迁移;梁的弯曲挠度与转角随梁的厚度、宽度的增大而减小,但梁的厚度变化的影响更大。

湿热环境下多孔功能梯度圆管的非线性弯曲行为

圆管作为重要的工程结构,广泛应用于各个领域,其几何特征特殊,传统的梁理论不能满足其内外表面切应力为0的边界条件,采用合适的梁理论对其进行研究至关重要.文章采用一种修正的高阶剪切变形梁理论,研究了湿热环境下多孔功能梯度圆管的非线性弯曲行为.考虑材料物性与温度相关,基于修正的高阶剪切变形梁理论和von Kármán非线性理论,利用最小势能原理,建立了多孔功能梯度圆管的非线性弯曲控制方程,采用二次摄动法对控制方程进行求解,通过数值算例讨论了孔隙分布模型、孔隙率、梯度指数、内半径、湿度和温度对多孔功能梯度圆管非线性弯曲行为的影响.提出了针对湿热环境下多孔功能梯度圆管的非线性弯曲行为分析方法,得到了该问题的半解析解,将为优化多孔功能梯度圆管的结构和材料参数提供理论依据.结果表明:当孔隙率较大时,非均匀孔隙分布模型比均匀孔隙分布模型的多孔功能梯度圆管具有更好的抗弯曲变形能力,因此在实际轻量化设计过程中,孔隙分布应优先采用非均匀分布模型.

C波段50mW多注速调管高频系统的设计

本文提出一种全新的、应用于C波段50 mW高功率多注速调管输出系统。该系统首次采用TM 310高次模式多注结构,将整管工作电压由单注的354 kV大幅降低至250 kV,整管长度由单注的1.4 m缩短至0.9 m;并创新性地采用矩形TM 310结构,结合输出波导补偿结构,有效地解决了圆形TM 310结构外品质数不足的问题,保证了整管的输出稳定性。本文提出的C波段50 mW多注速调管能大幅降低整管工作电压、减小体积,可大幅提高系统的可靠性及机动性。本文研究的新型结构C波段50 mW多注速调管高频系统有效解决了高次模式高功率稳定输出的问题,降低了输出结构的设计复杂性、减小了传输系统体积并降低了成本,对未来多注高峰值功率产品的设计具有非常重要的意义。

弯扭柱-螺旋梁观光塔结构设计与静力分析

对重庆长江艺术湾区中岛艺路项目的观光塔结构设计要点进行阐述和分析。观光塔分为塔身和飘带,塔身高38.1m,飘带高25.66m。塔身是由三根逆时针旋转的弯扭箱形柱和顺时针旋转的螺旋箱形梁正交组成的螺旋结构,飘带是由两根弯扭箱形梁和中间连系梁组成的弯扭结构。该结构体型复杂,依据风洞试验确定了结构的风荷载体型系数。对结构的关键构件和关键节点进行了设计,并采用有限元软件MIDAS Gen和ABAQUS对结构的变形、构件内力、应力、结构整体稳定性和节点极限承载力进行了详细分析。结果表明,结构具备较高的安全可靠度。

基于高斯束偏移方法的远偏移距构造成像研究

VSP高斯束偏移方法是一种高效和高精度的地震成像方法,可以获得井旁的高精度结构特性。然而,传统一次反射偏移方法受观测系统的限制,无法在远距离处成像地层结构。VSP一阶表面多次波可以有效扩大远距离成像范围。本文提出了一种VSP高斯束偏移方法来成像VSP数据中的一阶表面多次波。首先,优化了VSP观测系统的平面波分解算法,在井口接收的地震波场用高斯窗函数分解为不同方向的平面波。其次,对速度模型进行镜像,并应用反褶积独立成像每个方向的平面波。最后,通过对VSP速度模型和检波点坐标的镜像,将VSP自由表面多次波转换为一次反射波,并利用VSP一次反射波高斯束偏移方法对一阶表面多次波进行成像。模型和数据验证了所提出方法的有效性和可靠性。

双参数弹性基功能梯度圆柱管自由振动的高阶梁理论解

基于高阶剪切变形梁理论,推导了Winkler-Pasternak弹性基径向功能梯度空心圆柱管自由振动行为的控制方程。该方法无须引入剪切修正系数,自动满足空心圆柱管内外表面剪应力自由边界条件。通过引入辅助函数,将关于挠度和转角的耦合控制方程化为单一高阶微分控制方程。给出了典型边界条件下功能梯度空心圆柱管的频率和振型。将计算结果与已有文献结果对比,验证了所提理论的精度。可以为工程中常见的Winkler-Pasternak弹性基梁结构提供更高精度的一维弹性理论解,研究结果表明,功能梯度材料的梯度参数和弹性地基刚度系数对固有频率值影响显著。与高阶固有频率相比,刚度系数对低阶固有频率的影响更加明显。

共线反射式二次谐波实验中二阶非线性极化率的定量测定

偏振二次谐波是一种广泛使用的对称性表征技术.然而,在共线反射式实验构型中,光路中必不可少的分束器会导致基频光和倍频光的偏振状态经透射或反射后发生改变,从而导致二次谐波信号的偏振态发生畸变,进而影响二阶非线性极化率的定量测定本文提出了一种基于菲涅尔系数的数据校正方法来解决这个问题,从而实现归一化二阶非线性极化率的定量测定,进一步通过理论模拟和实验证明了该方法的有效性和通用性.

Mindlin板理论高阶精化杂交应力元及稳定性分析

基于Mindlin板理论,构造了杂交应力四边形8节点单元QA8-R。采用任意阶的Timoshenko梁函数构造了三阶边界位移插值函数,该函数确保单元能通过严格的收敛检验。利用Airy应力函数构造了单元域内应力插值函数,该函数包含21个最优选择的应力项。通过精化元方法构造了组合几何刚度矩阵,建立了屈曲分析的有限元列式。数值算例结果表明:QA8-R单元不仅可以通过C^(0-1)分片检验,保证了单元的严格收敛性,而且在不同边界条件下对中厚板的计算精度较高,更易于工程应用。

关于弯剪型特性的底部隔震剪力墙结构计算方法研究

底部隔震剪力墙结构在强震作用下具有弯剪型侧移曲线的特性,采用铁木辛柯梁模拟底部隔震的剪力墙结构在隔震后的动力特征和隔震效应。推导了底部隔震悬臂梁模型在地震中的动力特征,提出了延长周期、减少高阶振型参与质量系数和增加体系阻尼比是隔震技术减震的三大因素,指出了增加结构阻尼可有效地提高长周期高层结构的隔震效果,同时隔震可降低复杂高层结构高阶振型的影响。

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 influence 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 parameters are given.

高阶剪切变形理论下Pasternak地基上FG-CNTRC梁自由振动及屈曲分析

功能梯度碳纳米管增强复合材料(functionally graded carbon nanotube-reinforced composite,FG-CNTRC)作为新一代先进复合材料,因其优越的力学性能而被研究者们广泛关注。该研究以Pasternak地基上FG-CNTRC梁为研究对象,基于不同高阶剪切变形理论,将一种具有插值特性的无网格法——稳定移动克里金插值(stabilized moving Kriging interpolation,SMKI)应用于求解Pasternak地基上FG-CNTRC梁的自由振动及屈曲问题。基于稳定移动克里金插值和不同高阶剪切变形理论给出FG-CNTRC梁的位移场,利用Hamilton原理和最小势能原理分别推导了Pasternak地基上FG-CNTRC梁的自由振动和屈曲控制方程。采用MATLAB软件编制了相关程序,将该研究解与解析解或文献解对比,证明了该方法在计算Pasternak地基上FG-CNTRC梁自由振动与屈曲的有效性及准确性。最后,还讨论了不同高阶剪切变形理论、地基系数、碳纳米管体积分数等对其自振频率和屈曲临界荷载的影响。

Active control and experiment study of a flexible hub-beam system

The first-order approximation coupling （FOAC） model was proposed recently for dynamics and control of flexible hub-beam systems. This model may deal with system dynamics for both low and high rotation speed, while the classical zeroth-order approximation coupling （ZOAC） model is only available for low rotation speed. This paper assumes the FOAC model to present experimental study of active positioning control of a flexible hub-beam system. Linearization and nonlinear control strategies are both considered. An experiment system based on a DSP TMS320F2812 board is introduced. The difference between linearization and nonlinear control strategies are studied both numerically and experimentally. Simulation and experimental results indicate that, linearized controller can make the system reach an expected position with suppressed vibration of flexible beam, but the time taken to position is longer than expected, whereas nonlinear controller works well with precise positioning, suppression of vibration and time control.

A Family of Global Attractors for a Class of Generalized Kirchhoff-Beam Equations

The initial boundary value problem for a class of high-order Beam equations with quasilinear and strongly damped terms is studied. Firstly, the existence and uniqueness of the global solution of the equation are proved by prior estimation and Galerkin finite element method. Then the bounded absorption set is obtained by prior estimation, and the family of global attractors for the high-order Kirchhoff-Beam equation is obtained. The Frechet differentiability of the solution semigroup is proved after the linearization of the equation, and the decay of the volume element of the linearization problem is further proved. Finally, the Hausdorff dimension and Fractal dimension of the family of global attractors are proved to be finite.

M^2 factor of four-petal Gaussian beam

Based on the second-order moments, this paper derives an analytical expression of the M^2 factor of four-petal Gaussian beam. The results show that the M^2 factor is only determined by the beam order n. The corresponding numerical calculations are also given. As the beam order increases, the augment of M^2 factor is disciplinary. As the expression of M^2 factor is expressed in series form and becomes more complicated, a new concise formula of M^2 factor is also presented by using curve fitting of numerical calculations. When 3 ≤ n ≤ 200, the maximum error rate of fitting formula will not exceed 2.6% and the average error rate is 0.28%. This research is helpful to the applications of four-petal Gaussian beam.