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中低速磁浮车辆-道岔主动梁刚柔耦合振动分析 被引量:7
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作者 唐语 刘放 +1 位作者 邹逸鹏 庞振华 《机械科学与技术》 CSCD 北大核心 2022年第4期500-504,共5页
针对中低速磁浮道岔,建立磁浮车辆-道岔梁耦合振动分析的数学模型,以分析磁浮列车通过道岔主动梁时的梁振动为研究目标。采用有限元软件对主动梁进行静力学分析,然后逆求主动梁的等效刚度曲线,并运用拉格朗日动力学方程建立磁浮车辆-道... 针对中低速磁浮道岔,建立磁浮车辆-道岔梁耦合振动分析的数学模型,以分析磁浮列车通过道岔主动梁时的梁振动为研究目标。采用有限元软件对主动梁进行静力学分析,然后逆求主动梁的等效刚度曲线,并运用拉格朗日动力学方程建立磁浮车辆-道岔梁刚体动力学模型。基于动力学仿真软件,对磁浮车辆-道岔梁进行刚体动力学仿真,得到列车通过道岔时道岔梁中点垂向位移曲线图。然后采用ABAQUS和SIMPACK联合仿真,对主动梁进行刚柔耦合动力学仿真。分析结果表明:梁的刚度和重量对梁变形影响很大,对柔性主动梁动力学分析得出的垂向位移量大于刚体主动梁的位移量,柔性主动梁更与实际情况接近。 展开更多
关键词 中低速磁浮 主动梁 刚柔耦合 拉格朗日方程 动力学分析
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中低速磁浮道岔主动梁动力学分析
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作者 唐语 刘放 +1 位作者 吴涛 庞振华 《起重运输机械》 2021年第10期28-32,共5页
针对中低速磁浮道岔,建立磁浮车辆-道岔梁耦合振动的数学模型,以分析磁浮列车通过道岔主动梁时梁的垂向位移为研究目标。首先建立系统动力学方程,其次对主动梁外载荷进行参数的计算,然后建立主动梁的有限元模型并采用隐式动力学算法进... 针对中低速磁浮道岔,建立磁浮车辆-道岔梁耦合振动的数学模型,以分析磁浮列车通过道岔主动梁时梁的垂向位移为研究目标。首先建立系统动力学方程,其次对主动梁外载荷进行参数的计算,然后建立主动梁的有限元模型并采用隐式动力学算法进行仿真。仿真结果表明:速度增大,主动梁位移增大;增加梁的刚度和质量能明显减少梁的位移;三台车支撑主动梁的最大位移为比两台车支撑主动梁的最大位移小2.727mm。分析结果还可为高速磁浮列车及道岔的设计提供动力学基础。 展开更多
关键词 中低速磁浮道岔 主动梁 耦合振动 动力学分析
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主动约束层阻尼梁的有限元建模及模型简化 被引量:3
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作者 石银明 张洪渊 +2 位作者 华宏星 李中付 傅志方 《振动与冲击》 EI CSCD 北大核心 2001年第2期29-31,共3页
将有限元方法与粘弹性材料的GHM模型相结合 ,从而避免因粘弹性材料导致的非线性微分方程。为进一步设计控制器 ,先在物理空间通过迭代进行动力缩聚 ,将系统降至适当的维数 ,然后在状态空间用鲁棒降阶的方法进一步降阶。这样能使降阶后... 将有限元方法与粘弹性材料的GHM模型相结合 ,从而避免因粘弹性材料导致的非线性微分方程。为进一步设计控制器 ,先在物理空间通过迭代进行动力缩聚 ,将系统降至适当的维数 ,然后在状态空间用鲁棒降阶的方法进一步降阶。这样能使降阶后的系统既可观性 ,又可控性。 展开更多
关键词 主动约束层阻尼 鲁棒降价方法 粘弹性材料 模型降价 主动约束层阻尼 压电陶瓷材料
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主动约束层阻尼梁结构复杂耦合振动的多层谱有限元法 被引量:13
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作者 王淼 方之楚 《上海交通大学学报》 EI CAS CSCD 北大核心 2005年第1期87-90,共4页
针对全主动约束层阻尼(ACLD)覆盖的梁结构复杂耦合振动特性,采用一种新型的多层谱有限元法(MLSFEM)进行研究.该方法的特点是可避开采用谱有限元法时须求解带未知参数的高阶特征方程的困难,同时又保持谱有限元法使用很少单元却高精确度... 针对全主动约束层阻尼(ACLD)覆盖的梁结构复杂耦合振动特性,采用一种新型的多层谱有限元法(MLSFEM)进行研究.该方法的特点是可避开采用谱有限元法时须求解带未知参数的高阶特征方程的困难,同时又保持谱有限元法使用很少单元却高精确度的优点.对典型算例使用该法的计算结果与采用谱传递矩阵法(STMM)获得的相应精确结果作了比较,证实了MLSFEM用于ACLD梁结构的有效性与精确性.还分别采用位移负反馈和速度负反馈两种控制策略,研究控制增益与ACLD梁结构动力特性之间的关系.结果表明,两种反馈控制策略对ACLD梁结构动力特性有着显著不同的影响. 展开更多
关键词 主动约束层阻尼结构 多层谱有限元法 谱传递矩阵法 GHM粘弹性模型
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桥式起重机主梁变形原因分析及修复 被引量:4
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作者 王共和 《湖南有色金属》 CAS 2010年第1期49-52,共4页
文章分析了电铅阳极桥式起重机变形的原因,并对桥式起重机主、副梁变形数据进行了测量分析,用火焰加热和增加加强筋进行了矫正和修复。结果表明,修复后的桥式起重机解决了长期存在的大车啃车和小车爬坡不能准确定位,制动不能停留在指定... 文章分析了电铅阳极桥式起重机变形的原因,并对桥式起重机主、副梁变形数据进行了测量分析,用火焰加热和增加加强筋进行了矫正和修复。结果表明,修复后的桥式起重机解决了长期存在的大车啃车和小车爬坡不能准确定位,制动不能停留在指定位置以及减速箱经常损坏等现象。技术改造消除了生产安全隐患,节约了大量的设备购置和安装费用,为保证生产赢得了时间和效益。 展开更多
关键词 桥式起重机 主动梁 被动 下挠度 上拱度 起重机跨距
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中低速磁浮道岔梁温度效应分析
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作者 汪赢 吴晓 +1 位作者 何更旺 高春立 《机械》 2019年第9期36-40,63,共6页
中低速磁浮列车对线路的精度有着很高的要求,道岔梁因其结构特点在温差作用下会产生变形,影响线路的精度水平。建立中低速磁浮道岔主动梁热力学分析模型,根据稳态热传导分析方法,研究磁浮道岔主动梁在不同温度场中三种温差荷载作用下的... 中低速磁浮列车对线路的精度有着很高的要求,道岔梁因其结构特点在温差作用下会产生变形,影响线路的精度水平。建立中低速磁浮道岔主动梁热力学分析模型,根据稳态热传导分析方法,研究磁浮道岔主动梁在不同温度场中三种温差荷载作用下的温度分布情况。运用热-结构耦合分析方法,将温度分布作为条件研究磁浮道岔主动梁的温度变形。计算结果表明,磁浮道岔主动梁的温度分布在温差荷载作用方向呈近似线性规律,温度梯度随温差值上升而增大;在本文计算条件下,磁浮道岔主动梁的温度分布及温度变形受环境温度的影响较小。当横向温差超过15℃时,磁浮道岔梁横向变形量超过相关规定限值。在中低速磁浮道岔梁结构工程设计中,校核磁浮道岔梁在真实条件下的温度效应具有重要意义。 展开更多
关键词 中低速磁浮 道岔主动梁 有限元分析 温度效应
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IKAROS太阳帆第一阶段展开过程的动力学行为分析
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作者 胡伟鹏 淮雨露 +2 位作者 徐萌波 薛荣刚 邓子辰 《应用力学学报》 CAS CSCD 北大核心 2024年第1期100-105,共6页
空间结构的在轨展开涉及到复杂的高维强非线性动力学问题,这些动力学问题的建模及仿真技术是航天动力学领域的难题,也是对在轨展开过程施加控制的前提条件。本研究以IKAROS太阳帆在轨第一阶段展开过程为例,基于哈密顿变分原理,建立中心... 空间结构的在轨展开涉及到复杂的高维强非线性动力学问题,这些动力学问题的建模及仿真技术是航天动力学领域的难题,也是对在轨展开过程施加控制的前提条件。本研究以IKAROS太阳帆在轨第一阶段展开过程为例,基于哈密顿变分原理,建立中心刚体-主动伸长柔性梁耦合动力学模型;采用保结构分析方法,关注动力学系统的局部动力学行为,在恒定转矩驱动和恒定功率驱动两种工况条件下,对IKAROS太阳帆第一阶段展开过程进行仿真;发现两种工况条件下的中心刚体转动角速度演化规律差别显著,恒定转矩做功将导致中心刚体的转动稳定性变差,同时,恒定功率驱动工况下,IKAROS太阳帆第一展开阶段节能效果较好。 展开更多
关键词 IKAROS太阳帆 中心刚体-主动伸长柔性模型 保结构 在轨展开 动力学
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Active Control of Initial Disturbances for Rockets and Missiles 被引量:2
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作者 毕世华 李海斌 +1 位作者 李霁红 方远 《Journal of Beijing Institute of Technology》 EI CAS 2001年第2期143-148,共6页
The active control theory and methods of initial disturbances for rockets and missiles are investigated. The rocket or missile/launcher is simplified as a flexible beam excited by a moving varying velocity rigid body ... The active control theory and methods of initial disturbances for rockets and missiles are investigated. The rocket or missile/launcher is simplified as a flexible beam excited by a moving varying velocity rigid body which has two points in contact with the beam. The control force is applied at the supporting point on the beam. Active control strategies based on optimal control theory are proposed and computer simulation is carried out. Simulation results are consistent with the theoretical results, and show that the active control strategies proposed can accomplish the purpose to control the initial disturbances actively. The results show that active control of initial disturbances for rockets and missiles is feasible for application. 展开更多
关键词 rocket or missile/launcher initial disturbances rigid body flexible beam active control
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基于改进遗传算法的主动张弦梁多目标静态控制
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作者 沈雁彬 雷安东 +3 位作者 应萧远 杨光 王悦洋 罗尧治 《空间结构》 CSCD 北大核心 2022年第1期37-45,共9页
张弦梁结构在大跨结构工程中有着广泛的应用.将主动控制过程引入普通张弦梁,形成一种主动张弦梁结构,并对其控制性能进行研究逐渐成为一个重要的课题.在主动控制过程中,仅仅对位移或内力等单一指标进行控制,结构有时候难以达到最佳的综... 张弦梁结构在大跨结构工程中有着广泛的应用.将主动控制过程引入普通张弦梁,形成一种主动张弦梁结构,并对其控制性能进行研究逐渐成为一个重要的课题.在主动控制过程中,仅仅对位移或内力等单一指标进行控制,结构有时候难以达到最佳的综合工作性能.根据决策不同目标的控制要求,研究了主动张弦梁结构综合考虑结构内力与位移等指标的多目标优化问题.建立了基于目标优先级的张弦梁结构多目标模糊优化模型,并利用改进的遗传算法来求解最大最小优化模型,实现结构多个目标的综合优化控制,结构综合工作性能更加优越. 展开更多
关键词 主动张弦结构 结构静态控制 改进遗传算法 多目标优化
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CFB锅炉磨损的发生与综合治理 被引量:3
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作者 孟祥明 《应用能源技术》 2011年第4期27-29,共3页
磨损是影响CFB锅炉安全经济运行最主要的障碍,阐述了对磨损的发生过程进行研究和分析。结果显示,应当针对磨损问题采取恰当的防磨措施,主动多阶防磨梁是目前大容量CFB锅炉普遍采用的防磨技术,该技术从降低贴壁流速度着手,有效降低了受... 磨损是影响CFB锅炉安全经济运行最主要的障碍,阐述了对磨损的发生过程进行研究和分析。结果显示,应当针对磨损问题采取恰当的防磨措施,主动多阶防磨梁是目前大容量CFB锅炉普遍采用的防磨技术,该技术从降低贴壁流速度着手,有效降低了受热面磨损,提高了机组的连续运行时间,取得了很好的应用效果。 展开更多
关键词 CFB锅炉 磨损 防磨 主动多阶防磨
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An active temperature compensated fiber Bragg grating vibration sensor for high-temperature application 被引量:2
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作者 CHEN Bao-jie JIA Ping-gang +4 位作者 QIAN Jiang FENG Fei HONG Ying-ping LIU Wen-yi XIONG Ji-jun 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2020年第4期397-404,共8页
An active temperature compensated fiber Bragg grating(FBG)vibration sensor with a constant section cantilever beam is proposed for the simultaneous measurement of temperature and vibration,and the sensor is verified b... An active temperature compensated fiber Bragg grating(FBG)vibration sensor with a constant section cantilever beam is proposed for the simultaneous measurement of temperature and vibration,and the sensor is verified by a temperature compensation feedback system.The high-temperature vibration sensor is composed of a quartz cantilever beam and a femtosecond Bragg grating.The feedback control demodulation system of active temperature compensation can adjust the laser wavelength to stabilize the grating offset point and realize simultaneous measurement of temperature and vibration.On this basis,the performance of the sensor is tested and analyzed within the range of 20-400℃by setting up a high-temperature vibration test system.The experimental results show that the sensitivity of the sensor is about 132.33 mV/g,and the nonlinearity is about 3.33%.The sensitivity between the laser wavelength and temperature is about 0.01307 nm/℃.In addition,the active temperature compensated fiber Bragg grating vibration sensor has the advantages of a simple structure,stable performance,easy demodulation and high sensitivity.Moreover,the sensor can achieve high temperature vibration signal monitoring and has good practical application value. 展开更多
关键词 fiber Bragg grating(FBG) vibration sensor active temperature compensation cantilever beam feedback control
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锚杆(索)支护安装载荷作用机理探讨
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作者 文建东 张秉钊 +2 位作者 赵立龙 王亚杰 徐涛 《矿业安全与环保》 北大核心 2013年第5期101-103,106,共4页
根据红会四矿的支护改革实践,分析了锚杆支护安装载荷的作用机理。锚杆安装载荷是主动支护的源泉,适当的安装载荷可以改善围岩的应力状态并在围岩中形成主动加固梁,提高围岩的自承能力。同时,安装载荷可以改变锚杆支护系统的工作性能,... 根据红会四矿的支护改革实践,分析了锚杆支护安装载荷的作用机理。锚杆安装载荷是主动支护的源泉,适当的安装载荷可以改善围岩的应力状态并在围岩中形成主动加固梁,提高围岩的自承能力。同时,安装载荷可以改变锚杆支护系统的工作性能,合理安装载荷的设计和现场实现是围岩支护的重要因素之一。通过对锚杆安装载荷和其他相关因素的改进,红会四矿的巷道支护状况得到了极大改善,并成功支护和维护了受上层煤高支承压力影响的巷道。 展开更多
关键词 安装载荷 主动加固 无效主动加固空间 锚杆支护
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Experimental analysis of additional aerodynamic effects caused by wind-driven rain on bridge main girder 被引量:1
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作者 LEI Xu SHEN Lian +3 位作者 CHEN Zheng-qing NIU Hua-wei WEI Cheng-long ZHANG Xue-wen 《Journal of Central South University》 SCIE EI CAS CSCD 2022年第8期2743-2756,共14页
To study the additional aerodynamic effect on a bridge girder under the action of wind-driven rain, the rainfall similarity considering raindrop impact and surface water is first given. Then, the dynamic characteristi... To study the additional aerodynamic effect on a bridge girder under the action of wind-driven rain, the rainfall similarity considering raindrop impact and surface water is first given. Then, the dynamic characteristics and the process of vortex and flutter generation of the segment models under different rain intensities and angles of attack are tested by considering several typical main girder sections as examples. The test results indicate that the start and end wind speeds,interval length and number of vortex vibrations remain unchanged when it is raining, rainfall will reduce the windinduced vortex response. When test rain intensity is large, the decrease of amplitude is obvious. However, after considering the rain intensity similarity in this study, all of actual maximum rain intensities after conversion approach the domestic extreme rain intensity of approximately 709 mm/h. It can be observed that rainfall has a limited influence on the dynamic characteristics of the structure and vortex vibration response. When the test rain intensity is 120 mm/h, the critical wind speed of the model flutter increases by 20%-30%. However, after considering the rain intensity similarity ratio, the influence of rainfall on the wind-induced flutter instability of the bridge girder may be ignored. 展开更多
关键词 bridge engineering main girder wind-driven rain similarity law aerodynamic effect
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锚杆(索)支护安装载荷作用机理研究
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作者 徐学富 《科技与企业》 2015年第3期143-143,共1页
本文通过红会矿的支护改革实践,分析了锚杆支护安装载荷的作用机理。合理安装载荷的设计和现场实现是围岩支护的重要因素之一。通过对锚杆安装载荷和其他相关因素的改进,红会矿巷道支护状况得到了很大改善。并成功支护和维护了受上层煤... 本文通过红会矿的支护改革实践,分析了锚杆支护安装载荷的作用机理。合理安装载荷的设计和现场实现是围岩支护的重要因素之一。通过对锚杆安装载荷和其他相关因素的改进,红会矿巷道支护状况得到了很大改善。并成功支护和维护了受上层煤高支承压力影响的巷道。 展开更多
关键词 安装载荷 主动加固 无效主动加固空间
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Semi-active Control with Variable Damper for Pier-Beam Transversal Vibration
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作者 Jianguo Xu Xiang Liu +1 位作者 Bo Wang Huai Chen 《Journal of Civil Engineering and Architecture》 2010年第2期41-46,共6页
In this paper, the method of semi-active control with variable damper is presented to deal with the relatively poor transversal seismic condition of bridge. Based on the LQR control algorithm the control effectiveness... In this paper, the method of semi-active control with variable damper is presented to deal with the relatively poor transversal seismic condition of bridge. Based on the LQR control algorithm the control effectiveness for transverse vibration of pier-beam structure of bridge are discussed. Taking the structure as a multiple-degree of freedom system, the calculating model of structure-variable damper system is set up and the differential equation is derived, combined with practical example the control system is simulated and studied by various semi-active control algorithms and passive strategy with MATLAB. The results show that the semi-active control with variable damper can decrease the transverse vibration effectively and the control effect is obvious. 展开更多
关键词 Pier-beam structure of bridge vibration control transverse vibration variable damper control semi-active control algorithms LQR algorithm.
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Balloon aortic valvuloplasty as a bridge-to-decision in high risk patients with aortic stenosis: a new paradigm for the heart team decision making
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作者 Francesco Saia Carolina Moretti +12 位作者 Gianni Dall'Ara Cristina Ciuca Nevio Taglieri Alessandra Berardini Pamela Gallo Marina Cannizzo Matteo Chiarabelli Niccolo Ramponi Linda Taffani Maria Letizia Bacchi-Reggiani Cinzia Marrozzini Claudio Rapezzi Antonio Marzocchi 《Journal of Geriatric Cardiology》 SCIE CAS CSCD 2016年第6期475-482,共8页
Background Whilst the majority of the patients with severe aortic stenosis can be directly addressed to surgical aortic valve replace- ment (AVR) or transcatheter aortic valve implantation (TAVI), in some instance... Background Whilst the majority of the patients with severe aortic stenosis can be directly addressed to surgical aortic valve replace- ment (AVR) or transcatheter aortic valve implantation (TAVI), in some instances additional information may be needed to complete the diagnostic workout. We evaluated the role of balloon aortic valvuloplasty (BAV) as a bridge-to-decision (BTD) in selected high-risk patients. Methods Between 2007 and 2012, the heart team in our Institution required BTD BAV in 202 patients. Very low left ventricular ejection fraction, mitral regurgitation grade 〉 3, frailty, hemodynamic instability, serious comorbidity, or a combination of these factors were the main drivers for this strategy. We evaluated how BAV influenced the final treatment strategy in the whole patient group and in each specific subgroup. Results Mean logistic European System for Cardiac Operative Risk Evaluation (EuroSCORE) was 23.5%±15.3%, age 81 ± 7 years. In-hospital mortality was 4.5%, cerebrovascular accident 1% and overall vascular complications 4% (0.5% major; 3.5% minor). Of the 193 patients with BTD BAV who survived and received a second heart team evaluation, 72.6% were finally deemed eligible for definitive treatment (25.4% for AVR; 47.2% for TAVI): 96.7% of patients with left ventricular ejection fraction recovery; 70.5% of patients with mitral regurgitation reduction; 75.7% of patients who underwent BAV in clinical hemodynamic instability; 69.2% of frail patients and 68% of patients who presented serious comorbidities. Conclusions Balloon aortic valvuloplasty can be considered as bridge-to- decision in high-risk patients with severe aortic stenosis who cannot be immediate candidates for definitive transcatheter or surgical treatment. 展开更多
关键词 Aortic valve replacement Aortic valve stenosis Heart team Mitral valve regurgitation Transcatheter aortic valve implantation
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FULMS algorithm based multi channel active vibration control of piezoelectric flexible beam
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作者 朱晓锦 Gao Zhiyuan +2 位作者 Huang Quanzhen Shao Yong Gao Shouwei 《High Technology Letters》 EI CAS 2012年第2期113-119,共7页
A multi-channel active vibration controller based on a filtered-u least mean square (FULMS) control algorithm is analyzed and implemented to solve the problem that the vibration feedback may affect the measuring of ... A multi-channel active vibration controller based on a filtered-u least mean square (FULMS) control algorithm is analyzed and implemented to solve the problem that the vibration feedback may affect the measuring of the reference signal of the filtered-x least mean square (FXLMS) algorithm in the field of active vibration control. By analyzing the multi-channel FULMS algorithm, the multi-channel controller structure diagram is given, while by analyzing multi-channel FXLMS algorithm and its algorithmic procedure, the control channel model identification strategy is given. This paper also provides an easy but practical way to configure the actuators based on the maximal modal force rule. Taking the configured piezoelectric beam as the research object, an active vibration control experimental platform is established to verify the effectiveness of the identification strategy as well as the FULMS control scheme. Simulation and actual control experiments are done after the model parameters are obtained. Both the simulation and actual experiment results show that the designed multi-channel vibration controller has a good control performance with low order model and rapid convergence. 展开更多
关键词 adaptive control active vibration control model identification filtered-u least mean square (FULMS) algorithm piezoelectric flexible beam
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广丰煤矿首采工作面上下顺槽支护改革实践与探索
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作者 张荣敏 《科技成果纵横》 2020年第5期290-291,共2页
广丰煤矿为30万吨/年机械化矿井,采用高档普通机械化开采,首采工作面开采C1煤层,工作面上下顺槽沿煤层顶板布置,C1煤层顶板属1类顶板,上下2条顺槽在施工支护过程中出现了不同程度的挤压变形、喷体偏帮脱壳等问题,对C1煤层顶底板条件进... 广丰煤矿为30万吨/年机械化矿井,采用高档普通机械化开采,首采工作面开采C1煤层,工作面上下顺槽沿煤层顶板布置,C1煤层顶板属1类顶板,上下2条顺槽在施工支护过程中出现了不同程度的挤压变形、喷体偏帮脱壳等问题,对C1煤层顶底板条件进行详细分析研究,决定将原有工字钢梯形棚的被动支护方式改为锚杆、锚索、铁丝网、钢筋梯子梁等联合主动支护方式,取得良好支护效果。 展开更多
关键词 顶板 工字钢梯形棚被动支护 锚杆、锚索、铁丝网、钢筋梯子等联合主动支护
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中低速磁浮道岔关键梁体结构设计分析 被引量:1
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作者 张亚军 《机械设计与研究》 CSCD 北大核心 2022年第6期203-208,213,共7页
以铁建重工研制的行业内首组侧向通过速度45 km/h中低速磁浮道岔为研究对象,对其主动梁展开了相关研究:通过对主动梁进行模态分析,确定本次研制的道岔更适合三台车支撑,同时在弹性约束支撑以及增加配重的情况下,其垂向振型对应的频率为1... 以铁建重工研制的行业内首组侧向通过速度45 km/h中低速磁浮道岔为研究对象,对其主动梁展开了相关研究:通过对主动梁进行模态分析,确定本次研制的道岔更适合三台车支撑,同时在弹性约束支撑以及增加配重的情况下,其垂向振型对应的频率为14.26 Hz,更接近现有道岔的模态实测值。通过对主动梁进行静力学分析,在最不利工况下,其最大复合变形为1.1709 mm,出现在主动梁第二跨中间位置的顶板上,而最大应力为69.386 MPa,位于主动梁尾部台车连接区域,均满足相关标准的要求。对制造完成的道岔进行现场模态测试和静载试验,结果显示:主动梁一阶垂向模态频率平均值为14.95 Hz,与理论计算值接近,侧面验证了理论计算模型及约束条件设置均较为合理,同时与前期研制出的道岔的现场测量结果也较为接近。同时,主动梁两跨中最大变形分别为1.75 mm和1.62 mm,均满足相关标准中的挠度要求。相关研究方法、模型及结果可为后续磁浮道岔梁的设计及研究提供参考。 展开更多
关键词 中低速磁浮道岔 主动梁 模态分析 静力学分析 试验
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Nonlinear optimal control of rotating flexible shaft in active magnetic bearings 被引量:6
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作者 G. S. TOMBUL S. P. BANKS 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第5期1084-1094,共11页
The optimal control of nonlinear systems has been studied for years by many researchers. However, the application of optimal control problem to nonlinear non-affine systems needs more attention. In this paper we propo... The optimal control of nonlinear systems has been studied for years by many researchers. However, the application of optimal control problem to nonlinear non-affine systems needs more attention. In this paper we propose an optimal control design technique for a class of nonlinear and control non-affine equations. The dynamic equations of a flexible shaft supported by a pair of active magnetic bearings (AMBs) are used as the nonlinear control non-affine equations. Mathematical model for the flexible beam is chosen to be the well known Timoshenko beam model, which takes rotary inertia and shear deformations into account, and it is assumed that the shaft is supported by two frictionless bearings at the ends. The effective control of such systems is extremely important for very high angular velocity shafts which are a feature of many modern machines. The control must be able to cope with unbalanced masses and hence be very robust. We shall approach the problem by discretising the Timoshenko beam model and using standard difference formulae to develop a finite-dimensional model of the system. Then we use a recently developed technique for controlling nonlinear systems by reducing the problem to a sequence of linear time-varying (LTV) systems. An optimal control designed for each approximating linear, time-varying system and recent results show that this method will converge uniformly on compact time intervals to the optimal solution. 展开更多
关键词 approximation technique nonlinear optimal control timoshenko beam active magnetic bearings
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