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用3个向量对构造梁振动系统的刚度矩阵 被引量:4
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作者 周硕 吕晓寰 王小雪 《应用数学和力学》 CSCD 北大核心 2015年第3期303-314,共12页
针对梁的离散化模型的刚度矩阵是五对角矩阵,梁振动反问题的实质是实对称五对角矩阵的特征值反问题.该文利用向量对、Moore-Penrose广义逆给出了实对称五对角矩阵向量对反问题存在唯一解的条件,并结合矩阵分块讨论了双对称五对角矩阵向... 针对梁的离散化模型的刚度矩阵是五对角矩阵,梁振动反问题的实质是实对称五对角矩阵的特征值反问题.该文利用向量对、Moore-Penrose广义逆给出了实对称五对角矩阵向量对反问题存在唯一解的条件,并结合矩阵分块讨论了双对称五对角矩阵向量对反问题解存在唯一的条件,进而计算了次对角线位置元素为负,其它位置元素均为正的实对称五对角矩阵特征值反问题.由于构造梁的离散模型需要的数据可由测试得到,故而其结果适合于模态分析、系统结构的分析与设计等方面应用.最后给出了数值算例,通过数值讨论说明方法的有效性. 展开更多
关键词 梁振动系统 双对称五对角矩阵 向量对 反问题 刚度矩阵
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边界剪力反馈下梁振动系统根子空间的完备性
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作者 常晋德 姚翠珍 《应用泛函分析学报》 CSCD 2004年第2期182-186,共5页
 讨论了一个在边界上有剪力反馈控制的Euler-Bernoulli梁方程,证明了其广义本征函数生成的根子空间在能量Hilbert空间中是完备的.
关键词 梁振动系统 根子空间 Euler-Bernoulli方程 广义本征函数 完备性 HILBERT空间 剪力反馈
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Maglev self-excited vibration suppression with a virtual sky-hooked damper 被引量:1
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作者 李金辉 李杰 +1 位作者 周丹峰 王连春 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第6期1363-1371,共9页
This work addresses the problem of self-excited vibration,which degrades the stability of the levitation control,decreases the ride comfort,and restricts the construction cost of maglev system.Firstly,a minimum model ... This work addresses the problem of self-excited vibration,which degrades the stability of the levitation control,decreases the ride comfort,and restricts the construction cost of maglev system.Firstly,a minimum model containing a flexible bridge and a single levitation unit is presented.Based on the simplified model,the principle underlying the self-excited vibration is explored.After investigations about the energy transmission between the levitation system and bridge,it is concluded that the increment of modal damping can dissipate the accumulated energy by the bridge and the self-excited vibration may be avoided.To enlarge the equivalent modal damping of bridge,the sky-hooked damper is adopted.Furthermore,to avoid the hardware addition of real sky-hooked damper,considering the fact that the electromagnet itself is an excellent actuator that is capable of providing sufficiently fast and large force acting on the bridge to emulate the influence of the real sky-hooked damper,the technique of the virtual sky-hooked damper is proposed.The principle underlying the virtual sky-hooked damper by electromagnet is explored and the vertical velocity of bridge is estimated.Finally,numerical and experimental results illustrating the stability improvement of the vehicle-bridge interaction system are provided. 展开更多
关键词 MAGLEV vehicle-bridge interaction system self-excited vibration sky-hooked damper
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