轴对称横观各向同性热弹性圆柱的分解

为了得到精确的应力场、位移场、温度场,将扭转圆轴的精化理论研究方法推广到轴对称横观各向同性热弹性圆柱。利用Bessel函数以及轴对称横观各向同性热弹性圆柱的通解,给出了轴对称横观各向同性热弹性圆柱的分解定理。根据柱面齐次边界条件获得了精确的精化方程,精化方程可以分解为一阶方程、超越方程、温度方程,从而将横观各向同性热弹性圆柱的轴对称问题分解为轴向拉压问题、超越问题、热-应力耦合问题。超越部分对应端部自平衡情况,可以清晰地了解到端部应力分布对内部应力场的影响,热-应力耦合部分对应无外加应力场时圆柱内部因温度变化引起的热应力。     

超导线圈在强磁场作用下的弹塑性变形分析

根据超导线圈受电磁力、热膨胀、弯曲应力作用的受力机制,首先理论研究了超导线圈在发生弹塑性变形时内部的应力、应变、位移,然后使用两段直线之间由过渡曲线相连接的简化模型作为超导线的应力-应变曲线的近似特性。利用有限元方法,数值模拟了电磁力作用下典型的Nb3Sn超导线材在不同边界条件下的应力、应变、位移分布情况。计算结果定量显示了超导线的弹塑性变形特性同电流密度的关系,初步预测了超导线圈发生塑性变形的区域和扩展以及支撑结构对超导磁体力学行为的影响。     

纤维增强聚合物加固带裂缝矩形截面木梁的弯曲

对具有纵向贯穿裂缝的矩形截面木梁采用侧贴纤维增强聚合物布(FRP布)的方式加固。将FRP布视为正交各向异性材料,在组合梁小挠度变形的假定下,建立了侧贴FRP布加固具有纵向贯穿裂缝矩形截面木梁弯曲变形的控制方程;研究了FRP加固简支木梁在跨中集中力作用下的弯曲行为,得到了木梁挠度的解析表达式,在此基础上通过参数分析,考察了材料参数、几何参数、加固方式等对梁弯曲挠度的影响。数值结果表明:当FRP布纤维方向与梁轴线夹角=0°时,CFRP布的加固效果好于GFRP布的加固效果,而当为10°~15°时,FRP布的加固效果最为显著;当FRP布量纲为一的厚度(FRP布厚度与木梁的宽度之比)<0.02、剪切模量(FRP布OXZ方向的剪切模量与木梁弹性模量之比)<0.5时,和对FRP布加固木梁的挠度有较显著的影响。     

基于近红外光谱的人眼像差校正系统中变形镜性能对比研究

对比分析了基于近红外光谱的人眼像差校正系统中两种微机械薄膜变形镜(OKO37单元和BMC140单元)的结构特征和空间特性,着重对变形镜的影响函数进行了主成分研究,建立了变形镜电压控制模型,并通过调整参数d确定变形镜最优控制模式。最后对Zernike单位模式波前像差和Thibos模式人眼波前像差进行拟合仿真实验,结果表明BMC140单元变形镜对Zernike各阶模式的拟合能力均为OKO37单元变形镜的2倍以上。对RMS均值为0.683λ(λ=0.785 μm)的Thibos模式人眼像差,BMC变形镜校正后残余像差RMS值为0.063λ,达到了光学系统的衍射极限(λ/14)。而OKO变形镜由于受相邻电极交连值大、电极分布密度小等因素的影响,其校正能力不及BMC变形镜,残余像差RMS值为0.168λ。本方法也可用于其他种类变形镜的性能评估。     

能动变形反射镜波面误差特性分析及实验研究

对能动变形反射镜波面误差进行了理论分析和实验研究.在对能动变形反射镜波面误差进行理论分析和实验研究的基础上,利用有限元对37单元能动变形反射镜低频象差补偿能力进行了相关的分析和计算,结合相关实验确定了能动变形反射镜的主要参数,成功研制出了曲率半径1926 mm、口径300 mm的37单元球面能动变形反射镜.经实验测定校正误差前、后镜面面形的PV值(波前峰谷差值)和RMS值分别为:0.545γ、0.08γ及0.239γ、0.031γ,从实测结果口I以看到取得了明显的校正效果.并且在研制过程中对镜面加工、驱动器极头粘接等技术和工艺问题进行了有效地探索和研究,从而为能动变形反射镜进一步的研制工作奠定了良好的基础.     

用于激光二极管抽运固体激光器热畸变补偿的MEMS微变形镜设计

以MEMS微变形镜驱动方式的选取为出发点,从光学特性和力学特性两方面对MEMS微变形镜进行分析.从中得出相关结构参数对微变形镜性能的影响关系.并在此基础上结合补偿激光二极管抽运固体激光器(DPL)热畸变的使用要求设计了一种新型MEMS连续面型微变形镜,并采用设计的MEMS变形镜搭建了一个闭环自适应光学实验系统,补偿了激光光束的热畸变.实验结果显示该MEMS连续面型微变形镜可对腔内畸变进行有效补偿,同时提高了激光器的输出功率及光束质量.     

Rosochatius Deformed Soliton Hierarchy with Self-Consistent Sources

Integrable Rosochatius deformations of finite-dimensional integrable systems are generalized to the soliton hierarchy with self-consistent sources. The integrable Rosochatius deformations of the Kaup-Newell hierarchy with self-consistent sources, of the TD hierarchy with self-consistent sources, and of the Jaulent-Miodek hierarchy with self- consistent sources, together with their Lax representations are presented.     

Formation Mechanism of Triaxial Superdeformed Nucleus ^160Yb

By using Total Routhian Surface （TRS） method the deformation of the nucleus ^160Yb
is studied. The result shows that the triaxial superdeformed state exists with deformation parameters ε2 = 0.38 and γ = 21°, where proton shell correction energy plays a key role, and the sum of two quasi-proton particle energies gives an additional driving effect. The rotational energy also has an additional role in the formation of triaxial superdeformed.     

Quasi-Periodic Structures Based on Symmetrical Lucas Function of （2＋1）-Dimensional Modified Dispersive Water-Wave System

By introducing the Lucas-Riccati method and a linear variable separation method, new variable separation solutions with arbitrary functions are derived for a （2＋1）-dimensional modified dispersive water-wave system. The main idea of this method is to express the solutions of this system as polynomials in the solution of the Riecati equation that the symmetrical Lucas functions satisfy. From the variable separation sohition and by selecting appropriate functions, some novel Jacobian elliptic wave structure with variable modulus and their interactions with dromions and peakons are investigated.     

Branching Ratios of α Decay for Nuclei near Deformed Shell Closures

The generalized liquid drop model （GLDM） is extended to the region around deformed shell closure ^270Hs by taking into account the excitation energy EI＋ of the residual daughter nucleus and the centrifugal potential energy Vcen（r）. The branching ratios of a decays from the ground state of a parent nucleus to the ground state 0^＋ of its deformed daughter nucleus and to the first excited state 2^＋ are calculated in the framework of the GLDM. The results support the proposal that a measurement of a spectroscopy is a feasible method to extract information on nuclear deformation of superheavy nuclei around the deformed nucleus ^270Hs.