Detailed design of a lattice composite fuselage structure by a mixed optimization method

In this article, a procedure for designing a lattice fuselage barrel is developed. It comprises three stages: first, topology optimization of an aircraft fuselage barrel is performed with respect to weight and structural performance to obtain the conceptual design. The interpretation of the optimal result is given to demonstrate the development of this new lattice airframe concept for the fuselage barrel. Subsequently, parametric optimization of the lattice aircraft fuselage barrel is carried out using genetic algorithms on metamodels generated with genetic programming from a 101-point optimal Latin hypercube design of experiments. The optimal design is achieved in terms of weight savings subject to stability, global stiffness and strain requirements, and then verified by the fine mesh finite element simulation of the lattice fuselage barrel. Finally, a practical design of the composite skin complying with the aircraft industry lay-up rules is presented. It is concluded that the mixed optimization method, combining topology optimization with the global metamodel-based approach, allows the problem to be solved with sufficient accuracy and provides the designers with a wealth of information on the structural behaviour of the novel anisogrid composite fuselage design.     

一种岔路口分流交通流格子模型的孤立波分析

建立了道路岔口处车辆分流时的一种流体力学格子模型．推导出了该模型的线性稳定性条件．通过非线性稳定性分析得到MKdV方程，进而可用MKdV方程的扭结．反扭结解去描述交通阻塞现象．结果显示：主干道车辆换道率的增加能够使共存曲线下降，从而起到提高主干道车流的稳定性的作用．     

一种快速自适应谱估计算法

通过对梯度格型快速自适应算法的研究,结合最大熵谱外推目前存在的缺点,将梯度格型算法应用于最大熵谱外推中,并将其与伯格算法进行了比较。     

A new algebraic structure for formal concept analysis

Formal concept analysis (FCA) originally proposed by Wille [39], is an important theory for data analysis and knowledge discovery. Concept lattice is the core of the mathematical theory of formal concept analysis. To address the requirements of real word applications, concept lattice has been extended to many other forms from the theoretical point of view and possible applications. In this paper, with the aim of deriving the mathematical properties of formal concepts from the point of algebra, we propose a new algebra system for the formal context. Under the frame of the proposed system, some interesting properties of formal concepts are explored, which could be applied to explore concept hierarchy and ontology merging.     

On filter theory of residuated lattices

The aim of this paper is to develop the filter theory of general residuated lattices. First, we extend some particular types of filters and fuzzy filters in BL-algebras and MTL-algebras naturally to general residuated lattices, and further enumerate some relative results obtained in BL-algebras or MTL-algebras, which still hold in general residuated lattices. Next, we introduce the concepts of regular filters and fuzzy regular filters to general residuated lattices, which are two new types of filters and fuzzy filters, and derive some of their characterizations. Finally, we discuss the relations between (fuzzy) regular filters and several other special (fuzzy) filters, and also characterize some special classes of residuated lattices by filters or fuzzy filters.     

基于耦合映射格子的混沌块密码系统

提出一个基于耦合映射格子的混沌块密码系统,设计一种明文块加密顺序的动态更新规则,每次更新的子区域顺序以及不同子区域明密文之间的复杂反馈关联均使得明密文之间的规律更加隐蔽。采用简单一维混沌映射,仿真实验表明,与类似的混沌加密算法比较,得出的各项统计数据均显示该系统具有较高的安全性及加解密效率。     

基于改进概念格的无冗余关联规则提取

在介绍概念格相关理论的基础上,提出改进概念格构造算法——Godin算法,在构造概念格的同时增加索引链表,有利于概念格的剪枝。把量化概念格、剪枝概念格与改进算法相结合,给出基于该改进算法的无冗余关联规则提取算法,并证明改进算法和无冗余规则提取算法的正确性和有效性。     

基于量子逻辑的下推自动机与上下文无关文法

给出基于量子逻辑的下推自动机(e-VPDA)的概念,提出广义的子集构造方法,进而证明了一般的e-VPDA与状态转移为分明函数且具有量子终态的e-VPDA的等价性.利用此等价性,给出了量子上下文无关语言的代数刻画与层次刻画,并籍此证明了量子上下文无关语言关于正则运算的封闭性.最后,说明了量子下推自动机和量子上下文无关文法(e-VCFG)的等价性.     

一种基于剪枝的横向分块概念格构造算法

概念格是形式概念分析中的核心数据结构,随着数据量的日益剧增,概念格的构造效率始终是关键.本文首先引入横向分块概念格,给出其若干结论;针对横向分块概念格构造过程中存在冗余信息,提出一种基于剪枝的横向分块概念格渐进式构造算法PHCL,从而进一步提高了概念格的构造效率;最后采用恒星天体光谱数据作为形式背景,实验验证了算法PHCL的正确性和有效性.     

基于Iceberg概念格的最大频繁项集挖掘

最大频繁项集挖掘算法存在扫描数据集次数多和候选集规模过大等局限。基于Iceberg概念格模型,提出一种在Iceberg概念格上挖掘最大频繁项集的算法ICMFIA。该算法通过一次扫描数据集构建Iceberg概念格,利用Iceberg概念格中频繁概念之间良好的覆盖关系能快速计算出最大频繁项集所对应的最大频繁概念,所有最大频繁概念的内涵就是所求的最大频繁项集的集合。实验结果表明,该算法具有扫描数据集次数少和挖掘效率高的优点。