一类四阶变系数振动问题的复合解

以一类斜拉索模型为背景,讨论了一类四阶变系数振动问题.用匹配法导出了方程的复合解,从而较简捷地得出了一类斜拉索的振幅的渐近表达式,并为解决相关类型的变系数问题提供了一种有效的方法.     

地下管道和光缆信息系统的设计与实现

研究了VC 环境下Mapinfo、MapX嵌入式系统实现技术，采用改进的Dijktra算法，实现了地下管道、光缆信息系统的设计，提出了一个实用的、具有线路测量优化功能的城市地下管道、光缆信息管理方案。并结合宁波大学校园进行了系统实现。     

30M-35kV/2000A高温超导电缆制冷系统

本文介绍了我国新研制成的首条并网运行的热绝缘型30M-35KV/2000A高温超导电缆制冷系统。该制冷系统主要有液氮泵箱、过冷箱、高真空输液管道、液氮贮槽、辅助减压抽空系统、泵箱及气动阀门供气系统、监控系统所组成。冷却方式是过冷液氮循环,制冷方式是G-M制冷机和减压抽空(备用)。给出了制冷系统的运行结果。     

多层导体超导电缆的交流输电特性

在完成设计和制造我国第一组并网运行的超导电缆系统的工作中，我们对不同结构的超导电缆短样样品的交流载流特性进行了系统的研究，内容包括层电流均流特性、电缆失超特性、失超恢复特性、电缆载流能力和抗短路冲击能力等．结果表明，对多层螺旋导体结构的超导电缆，影响其输运电流在各导体层分布的主要因素是邻近效应．由于其零电阻特性，在相同的结构中，超导体表现出比常规导体大得多的临近效应．显著的邻近效应使多层导体结构的超导电缆的均流问题变得更加复杂．此类超导电缆有很强的抗短路电流冲击能力，能够承受高于额定电流20倍以上的短路电流，并且有很好的超导性能恢复能力．由于交流超导电缆的电压与电流相位差对电阻的变化非常敏感，所以可以被用作判断失超的预警参数用来避免热溃式失超的发生．     

The effects of kinematic condensation on internally resonant forced vibrations of shallow horizontal cables

This study aims at comparing non-linear modal interactions in shallow horizontal cables with kinematically non-condensed vs. condensed modeling, under simultaneous primary external and internal resonances. Planar 1:1 or 2:1 internal resonance is considered. The governing partial-differential equations of motion of non-condensed model account for spatio-temporal modification of dynamic tension, and explicitly capture non-linear coupling of longitudinal/vertical displacements. On the contrary, in the condensed model, a single integro-differential equation is obtained by eliminating the longitudinal inertia according to a quasi-static cable stretching assumption, which entails spatially uniform dynamic tension. This model is largely considered in the literature. Based on a multi-modal discretization and a second-order multiple scales solution accounting for higher-order quadratic effects of a infinite number of modes, coupled/uncoupled dynamic responses and the associated stability are evaluated by means of frequency- and force-response diagrams. Direct numerical integrations confirm the occurrence of amplitude-steady or -modulated responses. Non-linear dynamic configurations and tensions are also examined. Depending on internal resonance condition, system elasto-geometric and control parameters, the condensed model may lead to significant quantitative and/or qualitative discrepancies, against the non-condensed model, in the evaluation of resonant dynamic responses, bifurcations and maximal/minimal stresses. Results of even shallow cables reveal meaningful drawbacks of the kinematic condensation and allow us to detect cases where the more accurate non-condensed model has to be used.     

HIRFL 束流相位测量系统性能的改进

 在研究HIRFL 相位测量系统工作原理的基础上, 用自行设计的电缆电子学长度校正方法校正了探针电缆的长度, 并重新设计了信号预选器和系统控制软件; 利用自行设计的自检系统找出并校正了影响系统测量精度的因素。提高了系统的可靠性和测量精度, 使系统可以投入实际的调束运行。     

高温超导电缆液氮流道试验装置的设计计算

为了进行高温超导电缆冷却通道方式的实验比较 ,确定通道的结构形式 ,获得理论计算的试验值 ,为长距离电缆设计提供实验依据 ,建立了高温超导电缆液氮流道试验装置。文中叙述了流道试验装置的设计指标、系统流程、设计概算、试验装置主要设备设计计算以及调试结果等。     

横向补给系统高架索的稳定性与分岔研究

考虑集中质量对系统动力学行为的影响,建立了横向补给系统高架索振动的理论模型.利用Galerkin方法和多尺度方法对动力学方程进行渐近分析.通过对系统Jacobi矩阵特征值的讨论,分析了系统的稳定性.根据系统渐近解的消除永年项条件,得到了系统的振幅分岔方程.借助Mathematica软件,对系统的局部分岔行为进行研究,得到了系统的转迁集以及相应的局部分岔图,研究表明横向补给系统高架索的振动中存在的多种分岔现象.     

A fast‐high order compact difference method for the fractional cable equation

The Cable equation is one of the most fundamental equations for modeling neuronal dynamics. In this article, we consider a high order compact finite difference numerical solution for the fractional Cable equation, which is a generalization of the classical Cable equation by taking into account the anomalous diffusion in the movement of the ions in neuronal system. The resulting finite difference scheme is unconditionally stable and converges with the convergence order of in maximum norm, 1‐norm and 2‐norm. Furthermore, we present a fast solution technique to accelerate Toeplitz matrix‐vector multiplications arising from finite difference discretization. This fast solution technique is based on a fast Fourier transform and depends on the special structure of coefficient matrices, and it helps to reduce the computational work from required by traditional methods to without using any lossy compression, where and τ is the size of time step, and h is the size of space step. Moreover, we give a compact finite difference scheme and consider its stability analysis for two‐dimensional fractional Cable equation. The applicability and accuracy of the scheme are demonstrated by numerical experiments to support our theoretical analysis.