Existence and Approximate Controllability of Solutions for an Impulsive Evolution Equation with Nonlocal Conditions in Banach Space

In this article, we study the existence of mild solutions and approximate controllability for non-autonomous impulsive evolution equations with nonlocal conditions in Banach space. The existence of mild solutions and some conditions for approximate controllability of these non-autonomous impulsive evolution equations are given by using the Krasnoselskii''s fixed point theorem, the theory of evolution family and the resolvent operator. In particular,the impulsive functions are supposed to be continuous and the nonlocal item is divided into Lipschitz continuous and completely bounded. An example is given as an application of the results.     

4.8 nm Concave {M_(72)}(M=Co,Ni,Fe) metal-organic polyhedra capped by 18 calixarenes

Three 4.8 nm isostructural{M₇₂}(M=Co^Ⅱ for CIAC-128,Ni^Ⅱ for CIAC-129,Fe^Ⅱ for CIAC-130) metal-organic polyhedra(MOPs) are constructed by eighteen M₄-p-tert-butylthiacalix[4]arene (M₄-TC4A) units bridged via sixteen four-connected 5,5′-(1H-1,2,4-triazole-3,5-diyl) diisophthalic acid (H₄TADIPA) linkers.These MOPs are featured with a rarely reported concave coordination cage,which can be simplified as a squeezed double-decker hexagonal prism pressed from the top and bottom hexagonal faces.Furthermore,CIAC-128,CIAC-129 and CIAC-130 are the highest nuclearity discrete clusters of Co,Ni and Fe reported so far.CIAC-128 has higher separation selectivity of C₃H₈ than CH₄ under ambient conditions,and also exhibits separation selectivity for C₂H₆/CH₄,C₂H₂/CH₄,and C₂H₄/CH₄.In addition,CIAC-128 can provide the cavity for the confined synthesis of noble metal nanoclusters such as Pd nanoclusters and the resulting Pd@CIAC-128 hybrids show higher electrocatalytic activity than commercial Pt/C towards hydrogen evolution reaction (HER).     

Visual Recognition of Traffic Signs in Natural Scenes Based on Improved RetinaNet

Aiming at recognizing small proportion, blurred and complex traffic sign in natural scenes, a traffic sign detection method based on RetinaNet-NeXt is proposed. First, to ensure the quality of dataset, the data were cleaned and enhanced to denoise. Secondly, a novel backbone network ResNeXt was employed to improve the detection accuracy and effection of RetinaNet. Finally, transfer learning and group normalization were adopted to accelerate our network training. Experimental results show that the precision, recall and mAP of our method, compared with the original RetinaNet, are improved by 9.08%, 9.09% and 7.32%, respectively. Our method can be effectively applied to traffic sign detection.     

Kinetic theory of anionic copolymerization with constant monomer ratio, 2 . Molecular weight distribution

The kinetic differential equations for the anionic copolymerization with constant monomer ratio are treated by Laplace transformation and a graphical technique. A theoretical method is established by which all molecular parameters of the copolymers, such as the molecular distribution (MWD), the average molecular weight and the polydispersity, can be calculated from reaction rate constants, initial conditions and polymerization time. Three-dimensional plots obtained by numerical computation are presented to illustrate the influence of the reaction conditions on the MWD's of the copolymers.     

面向变厚度柔性轧制工艺的帽型梁横向冲击吸能优化设计

作为汽车主要吸能构件的帽型梁的吸能提升设计是备受关注的问题.研究表明,通过优化薄壁结构的厚度可有效提升吸能性能,但复杂的厚度分布造成制造困难.针对可实现厚度调控的工艺,发展易制造的结构设计方法极为必要.本文基于变厚度柔性轧制工艺(variable gauge rolling, VGR)可实现厚度调控的特点,发展建立帽型梁横向冲击吸能优化设计方法.基于变厚度柔性轧制工艺生产的柔性轧制板(tailor rolled blanks, TRB)的特点,将受横向冲击的帽型薄壁梁设计成沿轴线分段变厚度、分段间设梯度过渡段的结构形式,通过调整各段厚度、分段位置和过渡层梯度变化规律,实现性能的优化.以应变能密度分布均匀为优化准则、基于混合元胞自动机(hybird cellular automata, HCA)方法构建优化模型和求解方法,并在迭代过程中施加满足轧制约束的过滤函数,使结构满足轧制工艺要求.其中,轧制约束的过滤函数由粒子群算法自动寻找.基于本文方法,具体设计了柔性轧制帽型梁横向冲击吸能最优的分段位置、各段厚度及过渡段厚度的梯度过渡方式,设计结果验证了方法的有效性.      

颗粒材料三维应力路径下的接触组构特性

颗粒材料的宏观应力变形特征与其微观接触力、组构等紧密相关.一般而言,强接触系统属于颗粒内部体系的传力结构,其对应的组构张量是影响宏观应力性质的重要因素.细观数值方法(如离散单元法)能够反映物理试验的基本规律,并且可以方便地提取宏微观数据来研究颗粒体系的应力变形机制.采用离散单元法(discrete element method,DEM)进行一系列等$p$等$b$应力路径下颗粒材料的真三轴试验,在此基础上研究了三维应力路径下颗粒材料的宏微观力学参数的演化过程、三维组构张量与应力张量多重联系以及强接触体系反映的宏观应力特征.研究表明:颗粒体系偏应力峰值状态和临界状态均存在与加载路径无关的宏微观特征;三维应力路径下组构张量与应力张量存在非共轴性,但其联合不变量演化过程表现出加载路径无关的特征;与弱接触系统的组构张量相比,强接触系统的组构张量更能反映宏观应力张量的特征;强弱接触体系的组构张量对颗粒体系宏观响应的贡献不同,其分界点存在一定取值范围,但采用平均接触力较为简单合理.      

功能梯度球形水凝胶的化学力学耦合分析

作为一种新型智能材料,水凝胶具有特殊的化学力学耦合性能.采用功能梯度形式可使得水凝胶具有更好的适应性和可调控性.本研究中假设交联密度沿径向按幂函数规律变化,并基于水凝胶的大变形多场耦合一般理论,采用Flory-Huggins自由能函数,建立了功能梯度球形水凝胶在球对称情形的控制方程,并开展了功能梯度球形水凝胶在给定内压和化学势情行的非均匀大变形溶胀行为的理论研究.计算结果表明,不同梯度指数的球形水凝胶的内压、内孔半径曲线和内压、内表面径向伸长率曲线均呈现出一段稳定区间和另一段不稳定区间,说明内压超出某临界值会发生失稳并导致水凝胶的最终破坏.内压的临界值随梯度指数的增大而增大.研究表明,功能梯度球形水凝胶的材料参数(梯度指数、亲疏水特性、交联密度和溶剂分子的体积)和环境化学势对水凝胶溶胀行为具有重要的影响.在给定内表面压力的情况下,功能梯度球形水凝胶内表面的径向位移随梯度指数的改变接近为线性变化,而随其他参数的影响都呈现出明显的非线性.本研究有助于实现水凝胶智能结构和器件在复杂条件下的精准调控.}      

Evolution Characteristics of Gas Permeability Under Multiple Factors

Transport in Porous Media - Permeability, one of the most significant parameters for CBM, is affected by many influencing factors. In this paper, an improved fully coupled permeability model was...     

Phase-shift controlling of three solitons in dispersion-decreasing fibers

Nonlinear Dynamics - Phase-shift controlling can attenuate the interactions between solitons and gives practical advantage in optical communication systems. For the variable-coefficient nonlinear...