A new homotopy perturbation method for system of nonlinear integro-differential equations

In this paper, a new homotopy perturbation method (NHPM) is introduced to obtain exact solutions of system of nonlinear integro-differential equations. Theoretical considerations are discussed. Two examples are given to demonstrate the efficiency of NHPM to the classical HPM and variational iteration methods.     

A numerical method for annuity-purchasing decision making to minimize the probability of financial ruin for regime-switching wealth models

This work develops an approximation procedure to find optimal annuity-purchasing strategies for minimizing the probability of lifetime ruin. The wealth is modelled as a regime-switching diffusion modulated by a continuous-time Markov chain. Based on Markov chain approximation techniques, a discrete-time controlled Markov chain with two components is constructed. Under simple conditions, the convergence of the approximation sequence to the wealth process is obtained. The convergence of the approximation to the value function is also established. Several examples are provided to demonstrate the performance of the algorithms.     

山羊绒纤维粘连肤皮的研究

探讨不同羊种山羊绒纤维粘连肤皮量与肤皮点面积分布区间．借助电子扫描仪、电子标尺对粘连肤皮的试样绒纤维进行测试分析,得知母羊绒纤维粘连肤皮量比公羊大,粘连肤皮点面积分布区间也相对公羊大．建议加工不同羊种山羊绒纤维,应采取不同的加工工艺．     

应用Daubechies小波理论求解应力大梯度梁

介绍了采用常规有限元法求解应力大梯度问题的缺点,指出小波理论具有多尺度、多分辨及紧支性等特性,应用小波理论计算应力大梯度问题将明显优于传统有限元法.以求解受集中荷载的平面弯曲梁为例,阐述了采用Daubechies小波理论进行计算时矩阵方程的建立及采用系数转换法施加本质边界条件的过程.分析系数转换法带来的不足,并结合广义变分原理对目前常用的Daubechies小波方法进行改进.通过实际算例中Daubechies小波方法的计算结果与理论解的对比验证应力大梯度问题计算中小波方法的有效性.     

Stress recovery in geometrically nonlinear membranes by a Hu-Washizu finite element formulation

A class of mixed finite elements based on the Hu-Washizu functional is introduced as a strategy to reduce the spurious stress phenomena encountered with standard or displacement-based formulations for geometrically exact membranes. Selected examples compare the performance of this class of elements with that of the standard formulation and demonstrate that reduction of spurious stresses is obtained and that the stresses are more accurate than those optimally sampled in the standard formulation.     

Banach空间中广义集值拟变分包含的带误差项的摄动迭代算法

研究了一类新的实Banach空间中的广义集值拟变分包含:0∈N(w,y)+A(g(u),u),它包含了近年来许多作者所作的变分包含问题.在实Banach空间中,利用极大增生算子的性质,建立了实Banach空间中的广义集值拟变分包含和不动点问题之间的等价性.利用这种等价性,建立了一些带误差项的摄动迭代算法,并证明了近似解序列强收敛于精确解.该算法改进了已有相关算法和结果.     

回归分析及其在产品变型设计中的应用

分析变型设计的基本特点与存在问题，提出用回归分析的方法解决变型设计中设计变量之间的隐含不确定的关系．应用实例表明，回归分析是一种能够缩短变型设计周期、提高产品质量的有效分析方法．     

基于Gurtin变分原理的一种逐步积分法

基于Gurtin变分原理,利用经过空间离散后的只含单重卷积形式的泛函,在局部时间域上采用初位移、初速度和末位移、末速度并加入一种非时间步参数的插值函数形式对时间域进行离散,给出了一种逐步积分法。文中通过对动力计算方法的稳定性研究,选取了合适的非时间步参数。精度分析和数值算例表明本文方法是一种可以应用于结构动力响应分析并具有较高精度的方法。     

Rapid and Accurate Contact Determination between Spline Models using ShellTrees

In this paper, we present an efficient algorithm for contact determination between spline models. We make use of a new hierarchy, called ShellTree , that comprises of spherical shells and oriented bounding boxes. Each spherical shell corresponds to a portion of the volume between two concentric spheres. Given large spline models, our algorithm decomposes each surface into Bézier patches as part of pre-processing. At runtime it dynamically computes a tight fitting axis-aligned bounding box across each Bézier patch and efficiently checks all such boxes for overlap. Using off-line and on-line techniques for tree construction, our algorithm computes ShellTrees for Bézier patches and performs fast overlap tests between them to detect collisions. The overall approach can trade off runtime performance for reduced memory requirements. We have implemented the algorithm and tested it on large models, each composed of hundred of patches. Its performance varies with the configurations of the objects. For many complex models composed of hundreds of patches, it can accurately compute the contacts in a few milliseconds.     

Optimization of stress modes by energy compatibility for 4‐node hybrid quadrilaterals

Optimal hybrid stress quadrilaterals can be obtained by adopting appropriate stresses and displacements, and satisfying the energy compatibility condition is shown to be an ultimate key to obtaining optimal stress modes. By using compatible isoparametric bilinear (Q₄) displacements and 5‐parameter energy compatible stresses of the combined hybrid finite element CH(0‐1), a robust 4‐node plane stress element ECQ₄ is derived. Equivalence to another hybrid stress element LQ₆ with 9‐parameter complete linear stresses based on a modified Hellinger–Reissner principle is established. A convergence analysis is given and numerical experiments show that elements ECQ₄/LQ₆ have high performance, i.e. are accurate at coarse meshes, insensitive to mesh distortions and free from locking. Copyright © 2003 John Wiley & Sons, Ltd.