The Application of Similarity Theory in Designing Large Deflection Buckling Spring-Piece

Large Deflection Buckling Spring-Piece (LDBSP) refers to the deformation of an end-fixed flat spring-piece under normal loadings. Plastic deformation usually appears in LDBSP.The static characteristic curve is very particular, because within its linear deflection region, the spring constant can be designed to be any value from minus to plus. With its obvious advantages of large liner deflection range, low spring constant, etc., the LDBSP has now been extensively applied to the exciting device, low-frequency shock absorbers and so on. The static characteristic curve of LDBSP belongs to the nonlinear problem of an arch with varying section. Therefore, it is difficult to obtain it theoretically. The formulae for designing LDBSP have not been set up yet. In this study,the authors apply similarity theory to analyze the liner deflection range A and the spring constant K, and derive the relationship of similarity criterion, finally obtain a set of formulae for designing LDBSP by model test and the least square method, which can be applied in engineering design.Through the research, it is proved that it is unnecessary to keep geometrical similarity of spring-piece shape. This fact extends the application scope of the formulae. The proposed formulae for designing LDBSP thereby can be applied for any dimensions within the range allowed.     

十字型鸭翼子弹药控制系统研究

为解决子弹药的杀伤效能低的问题,提出了一种十字型鸭式子弹药并对其进行控制系统的分析与设计.针对子弹药不断旋转摆动的问题,分析了子弹药控制力的产生原理,提出一种周期平均控制力的方法,建立了旋转摆动子弹药数学模型.为验证子弹药的飞行稳定性,应用Matlab软件进行了无控飞行轨迹仿真,得出子弹药水平位移为450 m,攻角变化在0.4°以内,满足稳定性要求.由于子弹药控制通道间具有较强耦合作用,设计了一种特殊的前馈补偿法来对子弹药进行解耦,设计了PID控制器对子弹药控制效果进行了仿真,结果表明解耦后控制通道间的耦合效果基本消失.      

综合传动装置悬置系统刚度灵敏度分析与振动能量解耦

基于综合传动装置悬置系统6自由度耦合振动模型,利用灵敏度分析方法,计算悬置系统各阶固有振动频率关于各悬置各方向刚度的灵敏度,确定影响某一方向振动的关键橡胶刚度,为改善系统某一方向的振动提供理论依据.以系统各方向振动解耦率作为目标函数,综合考虑传动轴激励、人体承受振动敏感区域及各向振动耦合状况来确定优化约束条件,进行刚度参数最优化,得到的悬置系统各方向最优刚度值可用于改善悬置系统隔振性能.针对某一传动系统振动恶化的情况,采用刚度灵敏度分析与振动能量解耦综合方法,对悬置系统进行设计.最后利用台架振动试验结果验证悬置系统优化设计的有效性.      

具有齐次核的Hilbert型积分不等式的构造特征及应用

利用实分析技巧,研究具有齐次核的Hilbert型积分不等式的构造特征及取最佳常数因子的充要条件,得到了最佳常数因子的解析表达式.     

有界复形的 Modi ed Ringel Hall 代数的结构常数

设k是有限域.A是k上的满足一定有限性条件的本质小的遗传阿贝尔范畴.本文研究了有界复形范畴的modified Ringel—Hall 代数MH(A)中零微分复形乘积的结构常数，给出了它们与A的Ringel-Hall 代数H(A)的Hall数之间的关系.     

Fantastic Beasts and where (not) to find them: Local gravitational energy and energy conservation in general relativity

This paper critically examines energy-momentum conservation and local (differential) notions of gravitational energy in General Relativity (GR). On the one hand, I argue that energy-momentum of matter is indeed locally (differentially) conserved: Physical matter energy-momentum 4-currents possess no genuine sinks/sources. On the other hand, global (integral) energy-momentum conservation is contingent on spacetime symmetries. Local gravitational energy-momentum is found to be a supererogatory notion. Various explicit proposals for local gravitational energy-momentum are investigated and found wanting. Besides pseudotensors, the proposals considered include those of Lorentz and Levi-Civita, Pitts and Baker. It is concluded that the ontological commitment we ought to have towards gravitational energy in GR mimics the natural anti-realism/eliminativism towards apparent forces in Newtonian Mechanics.     

一个较精确加强型的半离散Hilbert型不等式

应用权函数的方法及Hermite Hadamard不等式, 建立一个较精确且加强型的半离散非齐次核Hilbert型不等式, 并给出该不等式具有最佳常数因子联系参数的一组等价性质及一些特殊参数不等式.      

常微分方程线性系统的一般理论与方程求解

在常微分方程的全部内容中,线性系统部分占有特别重要的地位,这不仅因为其自身的理论已被研究得十分清楚外,同时线性系统又是讨论非线性系统的基础.利用线性空间理论进一步对常微分方程线性内容及方程求解做一些分析和探究.     

赋值Banach代数的锥度量空间中的一类新型不动点定理

定义了一种向量版本的α-可容许函数,在不考虑锥的正规性的条件下,给出了赋值Banach代数的锥度量空间中的带有α-可容许函数条件的几类压缩型映射的不动点定理,所得结果大大地改进了前人的一些结果,并且举例验证了所得到的结论.      

Optimum design of equivalent accelerated life testing plans based on proportional hazards-proportional odds model

The optimum design of equivalent accelerated life testing plan based on proportional hazards-proportional odds model using D-optimality is presented.The defined equivalent test plan is the test plan that has the same value of the determinant of Fisher information matrix.The equivalent test plan of step stress accelerated life testing(SSALT) to a baseline optimum constant stress accelerated life testing(CSALT) plan is obtained by adjusting the censoring time of SSALT and solving the optimization problem for each case to achieve the same value of the determinant of Fisher information matrix as in the baseline optimum CSALT plan.Numerical examples are given finally which demonstrate the equivalent SSALT plan to the baseline optimum CSALT plan reduces almost half of the test time while achieving approximately the same estimation errors of model parameters.