用各向同性材料实现宽带声波功能器件设计

利用坐标变换的方法并结合保角映射技术,论文介绍了一种利用常规的各向同性材料来设计声波器件的方法.基于此理论,设计了二维声波隐身斗篷,并进行有限元模拟,证明了该器件的有效性.另外由于设计中没有利用材料共振的性质,所以器件是宽带有效的.该方法将有助于拓宽声波功能器件的设计,并为实验验证声波器件提供了可能.     

基于改进卡尔曼滤波的汽车路试制动性能检测方法

针对传统汽车路试制动性能检测方法的不足,提出了一种基于改进卡尔曼滤波的汽车路试制动性能检测方法。根据卡尔曼滤波理论,以单频载波相位单点GPS接收机输出的速度和方位角作为观测量,通过改进的卡尔曼滤波递推算法高频率、高精度地推算出汽车制动过程的平面运动坐标和速度,进而确定汽车制动距离和平均减速度MFDD,以检测汽车的制动性能。实车试验表明,该方法的制动距离测量精度可达0.2~0.3 m,速度精度小于0.1 m/s,输出频率可达100 Hz,具有成本低、输出频率高、精度高、环境适应力强的优点,克服了传统方法的不足。     

带交易费用的最优投资和比例再保险

研究了保险公司的最优投资和再保险问题.保险公司的盈余通过跳-扩散风险模型来模拟,可以把盈余的一部分投资到金融市场,金融市场由一个无风险资产和n个风险资产组成,并且保险公司还可以购买比例再保险;在买卖风险资产时,考虑了交易费用.通过随机控制的理论,获得了最优策略和值函数的显示解.     

一类具有饱和感染率与治愈率的HIV病理模型

将治愈率以及饱和感染率引入基本的HIV病理模型,构建一个改进的HIV病理模型.利用微分动力系统的相关理论,证明改进模型中无病平衡点和染病平衡点的全局渐近稳定性,然后执行相关的数值模拟以验证所得结论.研究结果表明:在饱和感染率的条件下,HIV感染进程变缓;同时提高治愈率能有效地控制HIV感染.     

Study on asymptotic analytical solutions using HAM for strongly nonlinear vibrations of a restrained cantilever beam with an intermediate lumped mass

Presented herein is to establish the asymptotic analytical solutions for the fifth-order Duffing type temporal problem having strongly inertial and static nonlinearities. Such a problem corresponds to the strongly nonlinear vibrations of an elastically restrained beam with a lumped mass. Taking into consideration of the inextensibility condition and using an assumed single mode Lagrangian method, the single-degree-of-freedom ordinary differential equation can be derived from the governing equations of the beam model. Various parameters of the nonlinear unimodal temporal equation stand for different vibration modes of inextensible cantilever beam. By imposing the homotopy analysis method (HAM), we establish the asymptotic analytical approximations for solving the fifth-order nonlinear unimodal temporal problem. Within this research framework, both the frequencies and periodic solutions of the nonlinear unimodal temporal equation can be explicitly and analytically formulated. For verification, numerical comparisons are conducted between the results obtained by the homotopy analysis and numerical integration methods. Illustrative examples are selected to demonstrate the accuracy and correctness of this approach. Besides, the optimal HAM approach is introduced to accelerate the convergence of solutions.     

The global attractor of a non-local PDE model with delay for population dynamics in ℝ<Superscript><Emphasis Type="Italic">n</Emphasis></Superscript>

In this paper, we consider a non-local PDE model with delay for population dynamics in ℝ ⁿ . First, we prove the existence and uniqueness of weak solutions under some suitable decayed assumptions on non-local term at infinity. Then, we obtain the global attractor by proving ω-limit compactness property of the solution operator semigroup.     

镧掺杂锡酸钡/多壁碳纳米管改性隔膜的制备及其在锂硫电池中的应用

通过将共沉淀法制备的钙钛矿型氧化物镧掺杂锡酸钡(LBSO)与多壁碳纳米管(MCNT)混合均匀,制成浆料,并利用刮涂法将其涂布在商业隔膜Celgard 2500(PP)表面构筑阻挡层,获得改性隔膜(LBSO/MCNT/PP)。基于该改性隔膜的锂硫电池在0.1C下具有高达1 433 mAh·g^-1的初始放电比容量,1C时300次循环后每圈容量衰减率为0.114%;当电流密度提高到3C时,仍具有764 mAh·g^-1的放电比容量,表现出优良的倍率性能和循环稳定性,这主要是由于该阻挡层能够有效抑制多硫化物的穿梭。     

A preconditioned general two-step modulus-based matrix splitting iteration method for linear complementarity problems of H+-matrices

Numerical Algorithms - In this paper, we present a preconditioned general two-step modulus-based iteration method to solve a class of linear complementarity problems. Its convergence theory is...     

A Partial First-Order Affine-Scaling Method

We present a partial first-order affine-scaling method for solving smooth optimization with linear inequality constraints. At each iteration, the algorithm considers a subset of the constraints to reduce the complexity. We prove the global convergence of the algorithm for general smooth objective functions, and show it converges at sublinear rate when the objective function is quadratic. Numerical experiments indicate that our algorithm is efficient.     

Translating Surfaces of the Non-parametric Mean Curvature Flow in Lorentz Manifold M2 × R*

In this paper, for the Lorentz manifold M² × R with M² a 2-dimensional complete surface with nonnegative Gaussian curvature, the authors investigate its spacelike graphs over compact, strictly convex domains in M² , which are evolving by the nonparametric mean curvature flow with prescribed contact angle boundary condition, and show that solutions converge to ones moving only by translation.