Towards a unified recurrent neural network theory: The uniformly pseudo-projection-anti-monotone net

In the past decades, various neural network models have been developed for modeling the behavior of human brain or performing problem-solving through simulating the behavior of human brain. The recurrent neural networks are the type of neural networks to model or simulate associative memory behavior of human being. A recurrent neural network (RNN) can be generally formalized as a dynamic system associated with two fundamental operators: one is the nonlinear activation operator deduced from the input-output properties of the involved neurons, and the other is the synaptic connections (a matrix) among the neurons. Through carefully examining properties of various activation functions used, we introduce a novel type of monotone operators, the uniformly pseudo-projectionanti-monotone (UPPAM) operators, to unify the various RNN models appeared in the literature. We develop a unified encoding and stability theory for the UPPAM network model when the time is discrete. The established model and theory not only unify but also jointly generalize the most known results of RNNs. The approach has lunched a visible step towards establishment of a unified mathematical theory of recurrent neural networks.     

分层递变梯度蜂窝材料的面内冲击性能

提出了一种分层递变梯度蜂窝材料模型,以期控制蜂窝材料的能量动态吸收性能.此模型通过改变胞元的半径来改变蜂窝材料的面内特征参数,以实现蜂窝材料面内动力响应特性的多目标优化设计.计算结果表明,此模型可以在减小初始峰值应力水平的前提下,同时实现材料能量吸收过程的控制,并可以有效控制进入被保护结构的应力水平.此模型可为蜂窝材料...     

“珠心算对认知功能的影响及其和神经机制的研究”项目报告综述一

针对珠心算国内外的研究现状,浙江大学物理系交叉学科实验室自2003年起就开始对珠心算的神经机制进行初步的探索。2005年,在财政部、教育部的支持下,受中国珠算心算协会委托,浙江大学物理系交叉学科实验室和中国科技大学神经生物学系成立浙大、中国科大联合实验组承担“珠心算对认知功能的影响及其神经机制的研究”项目。本研究报告简要介绍了本项目取得的初步研究成果。珠心算练习对儿童认知功能及其神经机制的影响是一个非常重要的研究课题,有非常重要的理论意义和实际意义。我们的研究还是初步的,更多问题还有待于深入探索。     

Large deflection of flexible tapered functionally graded beam

In this paper the semi-analytical analyses of the flexible cantilever tapered functionally graded beam under combined inclined end loading and intermediate loading are studied.In order to derive the fully non-linear equations governing the non-linear deformation,a curvilinear coordinate system is introduced.A general non-linear second order differential equation that governs the shape of a deflected beam is derived based on the geometric nonlinearities,infinitesimal local displacements and local rotation concepts with remarkable physical properties of functionally graded materials.The solutions obtained from semi-analytical methods are numerically compared with the existing elliptic integral solution for the case of a flexible uniform cantilever functionally graded beam.The effects of taper ratio,inclined end load angle and material property gradient on large deflection of the beam are evaluated.The Adomian decomposition method will be useful toward the design of tapered functionally graded compliant mechanisms driven by smart actuators.     

热荷载作用下Timoshenko功能梯度夹层梁的静态响应

在精确考虑轴线伸长和一阶横向剪切变形的基础上建立了Timoshenko功能梯度夹层梁在热载荷作用下的几何非线性控制方程.采用打靶法数值求解所得强非线性边值问题,获得了两端固支功能梯度夹层梁在横向非均匀升温作用下的静态热过屈曲和热弯曲变形数值解.分析了功能梯度材料参数变化、不同表层厚度和升温参数对夹层梁弯曲变形、拉-弯耦...     

复合功能布的动态力学性能及本构关系

针对复合功能布的物理特性,利用材料试验机和分离式Hopkinson压杆装置,展开了准静态和动态条件下单层和双层复合功能布材料的单轴抗压实验,获得了两种材料在不同应变率下的应力应变曲线和材料的失效应力、应变.实验结果表明:复合功能布的动态失效强度明显高于准静态失效强度,而且随着应变率的增加其动态失效强度呈现增加的趋势,即该材料具有明显的应变率硬化效应.对应力应变曲线进行拟合,给出了材料的动静态粘弹性本构关系.并对复合功能布在不同应变率下的失效应变及材料的损伤结果进行了初步的分析.     

THREE-DIMENSIONAL THERMOELASTIC ANALYSIS OF FUNCTIONALLY GRADED PLATE

Three-dimensional thermoelastic analysis is presented for an orthotropic functionally graded rectangular plate,which is simply supported and isothermal on its four lateral edges.With the assumption that material properties have arbitrary dependence on the thickness-coordinate,a Peano-Baker series solution is obtained for the thermoelastic fields of the functionally graded plate subjected to mechanical and thermal loads on its upper and lower surfaces by means of state space method.The correctness of the obtained series solution is validated through numerical examples.The influence of different material properties distributions on the structural response of the plate is also studied.     

初中化学教科书表格呈现方式及其教学功能价值的研究

以现行4个版本的义务教育化学教科书为研究对象,根据教科书中表格功能的不同,将其分为实验记录型表格、归纳总结型表格、习题型表格、资料卡片型表格等4类,对4类不同表格的教学功能价值进行了分析说明。并以沪教版为例,对当前初中化学教师使用教科书表格进行教学的情况进行了抽样调查与分析,由此提出3点教学建议。     

功能高分子材料综合实验设计:荧光稀土液晶高分子防伪膜的制备

设计了一个综合性实验,将荧光稀土液晶高分子防伪膜的制备和现代分析测试技术应用于高分子专业的教学实验中,以提高学生的综合实践能力。实验包括荧光稀土液晶高分子的制备、表征、防伪性能评价3大部分。采用FTIR、荧光光谱仪、POM、XRD、TG表征荧光稀土液晶高分子的结构与性能;制备荧光稀土液晶高分子防伪膜对其防伪性能进行评价,给整个实验增添趣味性与实用性。通过开设该实验,可让学生了解功能高分子的前沿知识及现代分析测试技术的基本原理和用途,掌握专业的实验操作与数据处理方法,提高学生的综合实践能力和专业素质。学生实验证明该综合实验适用于本科实验教学。     

含硅功能化聚烯烃:合成及应用

聚烯烃功能化改性是获得高性价比新材料的有效途径。含硅功能化聚烯烃(SFPO)是聚烯烃分子结构中含有机硅功能基团或有机硅聚合物链段的一类功能化聚烯烃的统称。由于有机硅功能基团及有机硅聚合物特殊的理化性质,SFPO通常具有丰富反应性或优异性能,成为一类有代表性的功能化聚烯烃。SFPO可以作为反应性中间体,用于制备具有复杂拓扑结构的功能化聚烯烃(如星型聚合物、梳型聚合物、接枝共聚物)或聚烯烃共价键接枝改性纳米材料;SFPO还可作为功能性添加剂(如增容剂、加工助剂,表面改性剂),用于开发聚烯烃新材料。近年来,研究人员在含硅功能化聚烯烃研究领域取得了系列进展,本文旨在对相关工作进行系统总结,以期引起同行注意并促进相关研究深入发展。