Large deflections of cantilever beams of non-linear elastic material under a combined loading

Large deflection of cantilever beams made of Ludwick type material subjected to a combined loading consisting of a uniformly distributed load and one vertical concentrated load at the free end was investigated. Governing equation was derived by using the shearing force formulation instead of the bending moment formulation because in the case of large deflected member, the shearing force formulation possesses some computational advantages over the bending moment formulation. Since the problem involves both geometrical and material non-linearities, the governing equation is complicated non-linear differential equation, which would in general require numerical solutions to determine the large deflection for a given loading. Numerical solution was obtained by using Butcher's fifth order Runge-Kutta method and are presented in a tabulated form.     

Approximate analytical expressions of Laguerre-Gaussian beams passing through a paraxial optical system with an annular aperture

On the basis of the expansion of the hard aperture function into a finite sum of complex Gaussian functions, the approximate analytical expression of Laguerre-Gaussian beams passing through an annular apertured paraxial ABCD optical system is derived. Meanwhile, the corresponding closed-forms for the unapertured or circular apertured or circular black screen cases have also been given. Numerical examples are given to illustrate the propagation characteristics of Laguerre-Gaussian beams.     

Incoherently coupled photorefractive bright-bright soliton pairs in one and two dimensions

We investigate incoherently coupled bright-bright soliton pairs in photorefractive crystals under steady-state condition in both one and two transverse dimensions. The novel numerical scheme according to the Crank-Nicholson method generalized in three dimensions accompanied by the central difference method was used to solve the coupled wave and potential equations in order to find soliton solution and pairs distribution. Simulation of propagation is performed numerically and show that the presence of both components is required for stable propagation. This simulation approach demonstrates beams evolution after decoupling clearly.     

高功率离子束在偏压电荷收集器内部的电荷输运模拟

 利用2.5维KARAT软件对高功率离子束在偏压电荷收集器内部的电荷输运过程进行PIC数值模拟，模拟结果表明在偏压电荷收集器内部电荷中和而电流不中和。在模拟中考虑了收集器的几何尺寸和离子束密度，因此模拟结果比一维数值计算的结果更为可靠。同时还模拟了偏置电压与电荷收集器离子收集效率之间的关系，对于峰值能量为500keV的高功率离子束，偏压为－800V即可满足测量要求，这一结果与实验吻合较好。     

相对论电子束在角向磁场中产生硬X射线的实验研究

 在闪光二号加速器上用相对论电子束在低压气体和角向磁场中传输打靶的方法，进行了硬X射线产生的实验研究。在47cm传输距离上，电子束与钽靶作用，获得了面积积分剂量率为2.1×10¹⁰Gy·cm²/s的硬X射线辐射（能谱范围为20～120keV），在总的辐照面积上(4π方向)面积积分剂量达1 843Gy·cm²，X射线转换率达到108Gy·cm²/kJ。     

Fast Analysis for the Focusing of a Laser Beam with Amplitude Modulation and Phase Fluctuation Through an Aperture Lens

1　Ｉｎｔｒｏｄｕｃｔｉｏｎ　　Ｌａｓｅｒｂｅａｍｓｗｉｔｈａｍｐｌｉｔｕｄｅｍｏｄｕｌａｔｉｏｎｓ(ＡＭｓ)ａｎｄｐｈａｓｅｆｌｕｃｔｕａｔｉｏｎｓ (ＰＦｓ) ｐｒｏｐｏｓｅｄｂｙｔｈｅＬａｗｒｅｎｃｅ ＬｉｖｅｒｍｏｒｅＮａｔｉｏｎａｌＬａｂｏｒａｔｏｒｙ (ＬＬＮＬ)ｉｓａｔｙｐｉｃａｌｐｈｙｓｉｃａｌｍｏｄｅｌｆｏｒｈｉｇｈ ｐｏｗｅｒｌａｓｅｒｓ[1] .Ｉｎｈｉｇｈ ｐｏｗｅｒｌａｓｅｒｓｙｓｔｅｍｓ,ｓｕｃｈａｓｌａｒｇｅＮｄ∶ｇｌａｓｓｌａｓｅｒｆｕｓｉｏｎｄｒｉｖｅｒｓ,ｈｉｇｈ ｐｏｗｅｒｌａ…     

Finite element analysis of the dynamic response of clamped sandwich beams subject to shock loading

The finite element (FE) method is employed to analyse the response of clamped sandwich beams subject to shock loadings. Pressure versus time histories representative of shock loadings are applied uniformly to the outer face of the sandwich beam; an impulse applied uniformly to the outer face of the sandwich beam is shown to model adequately shock loadings. Material elasticity and strain hardening representative of structural steels have only a minor effect upon the beam response. Further, the magnitude of the compressive strength of the core has only a limited influence upon the dynamic response of the sandwich beam for the representative range of core strengths considered. The FE results for the deflections and structural response time agree well with the rigid ideally-plastic analytical predictions of Fleck and Deshpande (J. Appl. Mech. (2003), in press).