覆冰单导线舞动非线性数值模拟

为研究覆冰导线的舞动响应,针对覆冰导线所受空气动力的非线性和导线大幅运动的几何非线性,采用具有3个平动自由度和1个扭转自由度的两节点索单元,建立了考虑空气动力荷载与位移和速度耦合的舞动分析有限元模型。采用对加速度中心差分、对速度向后差分的时间积分法对舞动进行非线性数值求解。利用MATLAB编制了相应的计算程序。通过对算例的舞动数值模拟验证了该方法与程序的正确性;且具有较高的计算精度及效率;并利用该方法研究了风速对舞动的影响。研究结果表明在初始攻角不变的情况下,随着风速增大,导线的振幅不断增大;但导线竖向振幅增幅较大,水平向振幅增加较小;当风速增大到一定程度,竖向振幅增加开始变得不明显,振幅最终趋于稳定值。     

高温超导共面波导功率非线性研究及测试

采用临界电流密度与仿真相结合,预估了共面波导微波强非线性测试系统的功率要求.该方法理论值为30dBm,与实测临界功率26~27dBm相近,表明该方法可行.该法可能有助于超导机理的研究.同时发现,在高于临界功率时,表面电阻随传输特性发生陡变.该结果有助于开发超宽带、低损耗超导微波限幅器和开关.     

受限非线性最优控制问题的三角正交函数求解方法

提出一种求解带有状态和控制不等式约束的非线性最优控制问题的数值求解方法。该方法通过三角正交函数对状态变量和控制变量的逼近,进而对目标函数、不等式约束和终端约束进行逼近,最终将原最优控制问题转化为非线性规划问题进行迭代求解。仿真算例结果验证了该算法的有效性。     

Optical nonlinearity and ultrafast dynamics of ion exchanged silver nanoparticles embedded in soda-lime silicate glass

Ag nanoparticles embedded in soda-lime silicate glass were fabricated by ion-exchange and subse-quently annealing method. Z-scan technique, femtosecond time-resolved optical Kerr effect （OKE） technique and femtosecond pump-probe experiment were used to investigate the effects of laser wavelength and laser pulse duration as well as annealing temperature on the third-order optical nonlinearity and ultrafast dynamics of the composites. It was found that the third-order susceptibility of Ag nanoparticles composite glass measured by 400 nm pulse source is larger than that measured by 800 nm pulse source due to an enhancement effect of local field near surface plasmon resonance of Ag nanoparticles in silicate glass. The third-order optical nonlinearity measured by ns laser source is about two orders of magnitude larger than that measured from fs pulse. The annealing temperature has an important effect on the third-order optical nonlinearity and ultrafast dynamics of the composites. Third-order nonlinear susceptibility up to 10^-l0 esu and fast relaxation process up to 0.2 ps have been obtained in Ag nanoparticles doped glass.     

改进的重标度极差法用于人体步态信号的动力学探测

作为人体输出生理信号之一的步态信号通常呈现一定的分形结构,具有明显的非线性特征,如何准确地探测到人体运动控制这一复杂生理系统的动力学特征具有重要的现实意义.本文通过一种改进的重标度极差法准确地捕捉到了不同自由行走速度下人体步态信号的动力学分形特征,而将原始步态时间间隔序列随机打乱顺序,获得的新序列则呈现出明显的随机性;通过与按节拍器产生的三种对应行走速率下的步态信号进行分析和比较后发现:正常健康人体输出的步态信号呈现出长程正相关性,而按节拍器节律获得的步态信号则长程正相关性减弱甚至消失,证明了人体运动控制系统调控输出步态信号的重要性.步态信号的动力学分形特性是健康人体的固有特征,具有很强的鲁棒性.缩短步态时间间隔序列长度后分析,该方法依然能够有效地探测到正常健康人体步态信号的动力学特征,并且算法简单可靠、运算快速、参数敏感、抗干扰能力强,研究结果对于人体运动控制系统的建模以及量化步态信号动力学的生理状态具有一定的应用价值.     

两参数非线性四阶边值问题的可解性

利用全连续映像的Leray-Schauder不动点定理,对含有各阶导数的两参数非线性四阶边值问题建立了一个解的存在定理.这个定理表明如果非线性项是在某个有界集合上的"高度"的积分是适当的,该问题至少有一个解.在力学上,这个问题描述了两个端点被简单支撑的弹性梁的形变.     

Longitudinal Acceleration Tracking Control of Low Speed Heavy-Duty Vehicles

This paper presents a model matching control （MMC） method based on the sliding mode control （SMC） method for longitudinal acceleration tracking control in a vehicular stop-and-go cruise control system. The nonlinearity of the vehicle acceleration response at low speeds was analyzed to develop a transfer function model of the vehicle longitudinal dynamics using the least-mean-square system identification technique. This transfer function was then used to design the MMC controller, including an SMC feedback compensator. The system combines the advantages of the two control methods with robust control and rapid response. Simulations show that the controller enhances the rapid trackability to the vehicle acceleration and improves the system＇s robustness at low speeds compared with conventional PID MMC controllers.     

Dynamic Response during the Online Compensation of Misalignment Based on Auxiliary Electromagnetic Support

A new support structure, named auxiliary electromagnetic support, is introduced to adjust the position of rotor shaft online. The auxiliary electromagnetic support consists of sliding bearing, iron core, radial spring, pedestal and electromagnet that could adjust the rotor position. In a rotor system adopting two auxiliary electromagnetic supports, the online compensation of misalignment was achieved without stopping work. Using the proposed auxiliary electromagnetic support, the analytical solution of dynamic response was obtained by analyzing a simulated single-degree-of-freedom（SDOF） system. And the dynamic response of the multi-degrees-of-freedom（MDOF） system in the experiment is acquired using Newmark variable step-size integration method. Further the new design is tested in a symmetrical single-disk rotor-bearing system. With both the theory analysis and the experimental results, some conclusions are obtained about the relationship between the vibration and the system damping which are related to system stability.     

二阶非线性对简单互联电力系统稳定性的影响

在经典力学框架内和小振幅近似下,把简单互联电力系统的动力学问题转化为具有阻尼项和受迫项的二阶非线性问题.利用外尔斯特拉斯函数分析了系统的相平面特征.系统的稳定性由相平面上的"鱼形"区面积决定,面积越大系统越稳定.用多尺度法分析了系统的一阶近似解和系统的临界特征.由于二阶非线性,系统存在ωm=2的共振线,当功率扰动频率远...     

组合梁几何非线性与长期效应的同步算法

首先根据建立的随转坐标系下考虑滑移组合梁单元平衡方程,结合初应变法得到组合梁收缩徐变等效节点力有限元列式.然后基于随转列式全量法,利用总体坐标系与随转坐标系下变量间转换矩阵,获得界面滑移平面组合梁单元收缩徐变与几何非线性同步考虑的实用算法.该方法的优点是可实现几何非线性与收缩徐变材料非线性算法上的分离,收缩徐变仅在随转坐标系下考虑,几何非线性通过转换矩阵考虑.最后,结合算例说明考虑滑移的组合梁几何非线性与收缩徐变之间存在着耦合作用.