基于两阶段灰色聚类模型的新疆经济社会发展水平评价研究

通过两阶段灰色聚类模型选择影响经济社会发展水平,基础设施建设,相关产业发展水平以及区域经济基础四个一级指标的10个二级指标来构建区域经济社会发展水平评价指标体系,以2013年新疆14地州市相关数据为样本,运用基于改进的中心点混合三角白化权函数把新疆各地州市从经济社会发展的角度划分成4个区域,为"新丝绸之路经济带"下新疆各地州的经济与社会发展定位提供依据最后找出属于三、四级经济圈内地区经济与社会发展落后的原因并提出相关建议.     

Degasperis-Procesi方程的类孤子新解

利用辅助方程与函数变换相结合的方法,构造了Degasperis-Procesi(D-P)方程的无穷序列类孤子新解.首先,通过两种函数变换,把D-P方程化为常微分方程组.然后,利用常微分方程组的首次积分,把D-P方程的求解问题化为几种常微分方程的求解问题.最后,利用几种常微分方程的Bcklund变换等相关结论,构造了D-P方程的无穷序列类孤子新解.这里包括由Riemannθ函数、Jacobi椭圆函数、双曲函数、三角函数和有理函数组成的无穷序列光滑孤立子解、尖峰孤立子解和紧孤立子解.     

一种新的形状灵敏度分析方法——具有两类变量的伴随方程法

本文将所考虑的问题视为具有两类独立变量的力学系统,通过建立具有两类变量的伴随系统方程,得到了定义在变化边界上的目标或约束泛函的敏度分析公式,由此建立了完全边界型的形状优化方法。     

Simulation Methods for Functional Materials

Functional materials embrace a broad area, ranging from functional information materials to special polymers, from special chemicals for printing to matenais used in making paints. Inasmuch as most tunctional materials are particulate, the present contribution is considered pertinent to the present FORUM.     

POLY-SCALE REFINABLE FUNCTION AND THEIR PROPERTIES

Poly-scale refinable function with dilation factor a is introduced. The existence of solution of poly-scale refinable equation is investigated. Specially, necessary and sufficient conditions for the orthonormality of solution functionφof poly-scale refinable equation with integer dilation factor a are established. Some properties of poly-scale re-finable function are discussed. Several examples illustrating how to use the method to construct poly-scale refinable function are given.     

线性分布荷载作用下梯度功能压电悬臂梁的解

采用逆解法求解了上表面受线性分布荷载作用的压电悬臂梁执行器，其中体积力$F_z$ 呈非线性分布. 首先确定了应力函数和电位移函数的多项式表达式，进而研究了该问题的 通解，以及体积力的不同分布对解答的影响. 常体积力和无体力情况下的解可以由上述 解直接得到. 本文为研究其它类型的压电梯度微观结构提供了一种可行的方法.     

结构中弹性波传播的可视化方法

由于结构中弹性波传播的复杂性，其场量(位移、应变、速度)表达式往往为繁杂、冗长的数学表达式，表达式本身不能直观、形象地表征结构中弹性波的传播特征．本文以杆中纵波传播为例，基于Matlab开发了弹性波传播特征的可视化程序，将杆中纵波传播特性以一种动态、直观、形象的形式展现出来．     

VISCOPLASTIC SOLUTION TO FIELD AT STEADILY PROPAGATING CRACK TIP IN LINEAR- HARDENING MATERIALS

An elastic-viscoplastic constitutive model was adopted to analyze asymptotically the tip-field of moving crack in linear-hardening materials under plane strain condition. Under the assumption that the artificial viscosity coefficient was in inverse proportion to power law of the rate of effective plastic strain, it is obtained that stress and strain both possess power law singularity and the singularity exponent is uniquely determined by the power law exponent of the rate of effective plastic strain. Variations of zoning structure according to each material parameter were discussed by means of numerical computation for the tip-field of mode Ⅱ dynamic propagating crack, which show that the structure of crack tip field is dominated by hardening coefficient rather than viscosity coefficient. The secondary plastic zone can be ignored for weak hardening materials while the secondary plastic zone and the secondary elastic zone both have important influence on crack tip field for strong hardening materials. The dynamic solution approaches to the corresponding quasi-static solution when the crack moving speed goes to zero, and further approaches to the HR (Hui-Riedel) solution when the hardening coefficient is equal to zero.     

化学镀耐磨自润滑Ni-P复合镀层的摩擦磨损性能

利用化学复合镀技术制备了Ni-P-碳纳米管(Ni-P-CNTs)和Ni-P-无机类富勒烯WS2[Ni-P-(IF-WS2)]复合镀层,考察了复合镀层的减摩抗磨性能.结果表明,Ni-P-CNTs和Ni-P-(IF-WS2)复合镀层的减摩抗磨性能优于化学镀Ni-P和Ni-P-石墨镀层,其原因在于Ni-P-CNTs化学复合镀层中的碳纳米管具有优异力学性能和同轴石墨纳米管结构,而Ni-P-(IF-WS2)化学复合镀层中的IF-WS2具有封闭层状类富勒烯球形结构,二者均具有优异的自润滑性能.     

无机类富勒烯过渡金属硫化物纳米材料的合成及其摩擦学应用研究进展

评述了无机类富勒烯（IF）与过渡金属硫化物（WS2和MoS2等）纳米材料的合成技术及其摩擦学应用研究的最新进展，外型为球形或近似于球形并具有嵌套中空结构的IF－WS2和IF－MoS2纳米果粒具有潜在的摩擦学应用前景；对含有IF－WS2纳米颗粒的复合材料和Ni-P复合镀层的研究表明，其比含有石墨和层状2H－WS2粉末的固体润滑剂具有更优异的摩擦学性能。