限制pre-李代数

研究限制pre-李代数的结构,给出了限制pre-李代数和可限制pre-李代数的定义,得到了限制pre-李代数的p-映射性质和可限制pre-李代数的性质,还讨论了带有半单元的限制pre-李代数及拟环面限制pre-李代数和分解唯一性定理.     

层合板三维-二维混合分区有限元法研究

本文提出了一种三维-二维混合分区有限元方法分析复合材料层合结构。构造了三维-二维过渡元素和三维的十七节点复合元素。本方法大大地减少了自由度,缩短了计算时间。算例表明,计算结果令人满意。本方法是可靠的并同样适用于其它结构。     

RKPM形状函数的矩式显式表述及快速计算

给出了计算再生核质点法(RKPM)形状函数及其导数的矩式显式处理方法。其特点是在计算形状函数及其导数时不涉及矩阵的求逆或者线性方程组的求解，从而减少计算误差的产生并提高了计算速度。二维及三维形状函数计算算例表明该方法是提高RKPM计算效率的一种有效途径。     

三轴转台轴系相交度误差测量方法的研究

—本文提出了一种新的轴系相交度误差测试方法。该方法不存在测量基准安装偏心问题，更适合于大型转台轴系相交度误差的测量     

粘弹性几何非线性夹层梁动响应分析

本文选用考虑横向剪切效应的退化梁单元，引入几何非线性假设，对具粘弹性阻尼层的夹层梁动响应及其衰减效果进行了研究，得到了一些具有应用价值的结论。     

Compact finite difference-Fourier spectral method for three-dimensional incompressible Navier-Stokes equations

A new compact finite difference-Fourier spectral hybrid method for solving the three dimensional incompressible Navier-Stokes equations is developed in the present paper. The fifth-order upwind compact finite difference schemes for the nonlinear convection terms in the physical space, and the sixth-order center compact schemes for the derivatives in spectral space are described, respectively. The fourth-order compact schemes in a single nine-point cell for solving the Helmholtz equations satisfied by the velocities and pressure in spectral space is derived and its preconditioned conjugate gradient iteration method is studied. The treatment of pressure boundary conditions and the three dimensional non-reflecting outflow boundary conditions are presented. Application to the vortex dislocation evolution in a three dimensional wake is also reported. The project supported by the National Natural Science Foundation of China     

点阵材料微极连续介质模型的应力优化设计

在将二维周期性点阵类材料等效为具有非局部化本构的微极连续介质的基础上，运用优化技术，探讨了基于材料相对密度和微单胞特征尺度两类变量的优化结构应力的方法，给出了针对最小化结构关键部位应力、结构最大应力最小化、最大化结构关键部位安全储备三类特定目标的结构与材料一体化协同优化结果．利用圆板小孔应力集中的数值算例验证了方法的有效性．     

TMD的个数对其减振效果的影响

本文从地面运动为水平简谐运动时结构引入多个TMD的运动方程出发，推导了其理论解，并在此基础上，假设各个TMD拥有相同的质量、频率和阻尼，分析了在总质量一定的前提下，TMD个数的变化对其减震效果的影响。并制作拱形主结构和TMD模型进行实验验证。实验结果也得出同样的结论；即总质量一定的前提下，如果各个TMD拥有相同的质量、频率和阻尼，则其个数的变化对其减震效果的影响不大。最后，根据实验模型编制有限元程序进行模拟计算，计算结果与实验结果比较吻合。     

平面弹性力学问题的离散元法

根据离散元的基本原理,基于变形体的理论提出了适用于平面弹性力学问题的界面位移、应变和应力模式,建立了求解平面弹性力学问题的离散元方程和相应的迭代求解方法.通过界面位移可以简洁地将位移和力的边界条件引入离散系统的控制方程,也可以方便地求解节点位移.数值算例表明,与具有相同网格的有限元结果相比,离散元能同时给出精度相对较高的应力解和精度相当的位移解.     

Computation of normal modes of three-dimensional resonators by semiclassical and variational methods: seismological implications

The problem investigated in this paper is that of calculating the eigenfrequencies of the bouncing-ball modes of oscillation of scalar waves in a three-dimensiol, arbitrarily shaped enclosure or resonator. With a view to future applications in seismology, we consider wave resonators limited above by a flat reflector—the earth's surface—and below by a curved one—the sediment/rock interface. The surface of the curved reflector is smooth but otherwise of arbitrary shape. The EBK (Einstein-Brillouin-Keller) method of semiclassical quantization is used to compute the eigenfrequencies. Conventional ray tracing is used to determine the trajectories of the rays in configuration space as well as in the Poincaré surfaces of section needed for the application of the method. For a prescribed set of mode numbers the EBK conditions produce a set of algebraic equations whose solution gives the required eigenfrequency and the corresponding eigentrajectory. Additionally, a system of four nonlinearly coupled ODE's is derived that simulates accurately the trajectories of the bouncing points of rays and can be used as a fast alternative to ray tracing. A variational method based upon the Rayleigh-Ritz formulation is used to obtain bounds on the eigenfrequencies and to determine the resonator's eigenfunctions. For separable and smooth nonseparable domains both approaches give consistent results. If the curvature of the reflector is convex towards the approaching ray, repeated reflections will result in highly unstable ray trajectories which ultimately becomne chaotic. In this case the EBK method fails. A brief discussion of the inherent tendency to chaotic behavior of the multiply reflecting ray system inside arbitrarily shaped enclosures is presented.