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干摩擦动力吸振器简谐激励响应计算的最优化方法研究 被引量:12
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作者 白鸿柏 张培林 黄协清 《振动与冲击》 EI CSCD 2000年第3期43-45,共3页
研究了两自由度滑动摩擦系数随相对速度变化的干摩擦吸振系统简谐激励响应计算问题 ,提出了最优化处理方法 ,并推导了相应的迭代方程。通过一个数值例分析 ,考察了干摩擦动力吸振器的性能及简化为理想干摩擦模型时带来的计算误差。
关键词 滑动摩擦系数 动力吸振器 干摩擦 简谐激励响应
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新型欧拉屈曲梁非线性动力吸振器的实现及抑振特性研究 被引量:13
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作者 刘海平 杨建中 +1 位作者 罗文波 钱志英 《振动与冲击》 EI CSCD 北大核心 2016年第11期155-160,228,共7页
将欧拉屈曲梁和线性弹簧并联使用,构建非线性动力吸振器。建立了安装欧拉屈曲梁非线性动力吸振器的系统动力学模型。利用谐波平衡法推导了主从振系的频响方程组。利用四阶龙格-库塔法对比计算了在瞬态激励和多频稳态激励条件下,未安装... 将欧拉屈曲梁和线性弹簧并联使用,构建非线性动力吸振器。建立了安装欧拉屈曲梁非线性动力吸振器的系统动力学模型。利用谐波平衡法推导了主从振系的频响方程组。利用四阶龙格-库塔法对比计算了在瞬态激励和多频稳态激励条件下,未安装吸振器、安装线性和非线性吸振器时主振系在时间域和频率域的响应特性。在此基础上,开展欧拉屈曲梁的初始挠度、初始倾角和阻尼系数对其振动抑制性能的影响分析。结果表明:所提欧拉屈曲梁设计参数成功构建了非线性动力吸振器;与安装线性吸振器前后的主振系响应相比,对主振系的抑振效果明显;欧拉屈曲梁初始挠度和阻尼系数存在最优值;初始倾角增大可增强非线性动力吸振器的振动抑制能力。 展开更多
关键词 非线性 动力吸振器 欧拉屈曲梁
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局域表面等离子体纳米结构的超快非线性光学及其应用研究进展 被引量:12
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作者 郭强兵 刘小峰 邱建荣 《中国激光》 EI CAS CSCD 北大核心 2017年第7期73-82,共10页
纳米结构的局域表面等离子体共振效应能够突破衍射极限实现对光信号的局域调控,自发现以来就引起了光学领域的广泛关注,并成为一大研究热点。从对局域光场增强效应到超材料的实现,表面等离子体都扮演着重要的角色。综述了基于纳米结构... 纳米结构的局域表面等离子体共振效应能够突破衍射极限实现对光信号的局域调控,自发现以来就引起了光学领域的广泛关注,并成为一大研究热点。从对局域光场增强效应到超材料的实现,表面等离子体都扮演着重要的角色。综述了基于纳米结构的局域表面等离子体的超快非线性光学现象及其应用研究,重点介绍了非传统表面等离子体纳米材料(重掺杂半导体)的饱和吸收效应,以及其在超快脉冲激光器中的应用,并对其发展前景进行了展望。 展开更多
关键词 材料 非线性光学 局域表面等离子体共振 纳米结构 重掺杂半导体 超快光学 可饱和吸收体
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Application of dynamic vibration absorber for vertical vibration control of corrugated rolling mill 被引量:2
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作者 Dong-ping He Hui-dong Xu +3 位作者 Ming Wang Tao Wang Chao-ran Ren Zhi-hua Wang 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2023年第4期736-748,共13页
A variable mass tuned particle absorber is designed for the nonlinear vertical vibration control of the corrugated rolling mill in the composite plate rolling process.Considering the nonlinear damping and nonlinear st... A variable mass tuned particle absorber is designed for the nonlinear vertical vibration control of the corrugated rolling mill in the composite plate rolling process.Considering the nonlinear damping and nonlinear stiffness between the corrugated interface,a three-degree-of-freedom nonlinear vertical vibration mathematical model of corrugated rolling mill based on dynamic vibration absorber control is established.The multi-scale method is used to solve the amplitude–frequency characteristic curve equation of the installed dynamic vibration absorber(DVA)system.The effects of stiffness coefficient and damping coefficient on the amplitude–frequency characteristic curve are analyzed.The expressions of the dynamic developed factor of the corrugated roll are derived,and the influence laws of mass ratio,frequency ratio and damping ratio on the dynamic amplification factor are analyzed.The optimal parameters of the DVA are obtained by adaptive genetic algorithm.The control effect of the DVA on the nonlinear vertical vibration is studied by numerical simulation.The feasibility of the designed dynamic absorber is verified through experiments.The results show that the designed dynamic absorber can effectively suppress the vertical vibration of the corrugated roller. 展开更多
关键词 Corrugated rolling mill nonlinear vertical vibration Adaptive genetic algorithm Multiscale method Dynamic vibration absorber
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基于硫铟锌纳米花的被动调Q激光
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作者 朱宜璇 仝鲁阳 +2 位作者 蔡阳健 赵丽娜 郑立仁 《光学学报》 EI CAS CSCD 北大核心 2024年第4期247-253,共7页
采用溶液法合成了二维硫铟锌纳米花,并测量了其可饱和吸收参数,其中,饱和强度为675 MW/cm^(2),调制深度为7.8%。通过搭建1μm全固态激光器,获得最大输出功率为240 mW、最大重复频率为629.08 kHz、最小脉冲宽度为388 ns、相应的单脉冲能... 采用溶液法合成了二维硫铟锌纳米花,并测量了其可饱和吸收参数,其中,饱和强度为675 MW/cm^(2),调制深度为7.8%。通过搭建1μm全固态激光器,获得最大输出功率为240 mW、最大重复频率为629.08 kHz、最小脉冲宽度为388 ns、相应的单脉冲能量为0.38μJ、峰值功率为0.98 W的脉冲激光。结果表明,由于硫空位的存在,硫铟锌纳米花能够吸收能量低于其带宽的光子,在近红外区域,表现出良好的可饱和吸收特性,且在激光器中,能够获得高重复频率和短脉冲宽度的激光输出。因此,基于硫铟锌纳米材料的可饱和吸收体在调Q脉冲激光器中具有广阔的应用前景。 展开更多
关键词 非线性光学 脉冲激光 可饱和吸收体 二维材料 硫空位 硫铟锌
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简谐激励下碰弹强化吸振器的特性试验研究
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作者 陈建恩 董博康 +1 位作者 闫旭 李双宝 《振动.测试与诊断》 EI CSCD 北大核心 2024年第3期566-572,623,共8页
为了提升传统纯立方吸振器的吸振效果并避免由高分支响应造成的失效,在纯立方吸振器的质量块两侧安装由碰撞板和弹簧组成的小型装置,构造出一种新型的碰弹强化吸振器。首先,设计并加工了由单自由度线性主振子和该吸振器构成的试验平台;... 为了提升传统纯立方吸振器的吸振效果并避免由高分支响应造成的失效,在纯立方吸振器的质量块两侧安装由碰撞板和弹簧组成的小型装置,构造出一种新型的碰弹强化吸振器。首先,设计并加工了由单自由度线性主振子和该吸振器构成的试验平台;其次,对比研究了在简谐激励下连接碰弹强化吸振器与连接纯立方吸振器的主振子加速度响应的差异;最后,试验分析了吸振器的弹簧刚度和碰弹间隙两个参数对主振子加速度响应的影响。结果表明:碰弹强化吸振器具有优越的减振性能,可以改变整个系统的稳定性,并且能够抑制分岔的发生,消除系统在较大激励下的高分支响应;通过合理控制两个参数,碰弹强化吸振器可以得到更好的振动抑制效果。 展开更多
关键词 非线性振动 减振 稳定性 碰弹强化 吸振器 高分支
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Bending vibration control of pipes conveying fluids by nonlinear torsional absorbers at the boundary 被引量:4
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作者 MAO XiaoYe DING Hu CHEN LiQun 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2021年第8期1690-1704,共15页
A nonlinear torsional absorber,which can overcome the influence of the fluid velocity on the natural frequency,is employed at the boundary to restrain the bending vibration of a pipe for the first time.By using the ro... A nonlinear torsional absorber,which can overcome the influence of the fluid velocity on the natural frequency,is employed at the boundary to restrain the bending vibration of a pipe for the first time.By using the rotating angle at the end of the pipe,the bending vibration energy is pumped to the boundary absorber.The nonlinearly coupled pipe-absorber governing equations are obtained by the generalized Hamilton’s principle.Steady-state responses subjected to a basement excitation are discussed by the modal-correction-harmonic-balance-method.According to this method,the boundaries of the pipe are treated as the generalized governing equations.In this way,those nonlinearities and time-dependent terms in the boundary are involved in the response completely.A direct simulation method,called the differential quadrature element method(DQEM),is used to verify these analytical results.The investigation indicates that the nonlinear boundary absorber owns two outstanding advantages.The first one is that the natural characters remain the same and the absorber can capture the resonance of the pipe automatically.The second one is that the absorber works at all natural modes.Especially,by using the nonlinear damping,the absorber will not worsen the weak vibration in the non-resonance region.The parameters of the absorber are investigated to optimize the efficiency in detail.The result finds that good efficiency can be achieved with a tiny mass.Meanwhile,the efficiency becomes better as the damping increases.With the help of these investigations,the work provides a new strategy to protect pipes conveying fluids from being destroyed by the vibration. 展开更多
关键词 pipes conveying fluid boundary control nonlinear torsional absorber boundary nonlinear energy sink nonlinear damping
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压路机安全驾驶室ROPS非线性数值模拟与试验 被引量:2
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作者 于向军 王继新 +2 位作者 杨永海 林建荣 蒋拓 《吉林大学学报(工学版)》 EI CAS CSCD 北大核心 2008年第S2期134-138,共5页
研制了压路机安全驾驶室式翻车保护结构,针对该翻车保护结构前后安装点存在高度差的特点,通过极限承载试验和有限元计算改进了减振装置和后立柱结构。给出了压路机翻车保护结构塑性大变形数值计算方法,并应用弹塑性大变形有限元方法对... 研制了压路机安全驾驶室式翻车保护结构,针对该翻车保护结构前后安装点存在高度差的特点,通过极限承载试验和有限元计算改进了减振装置和后立柱结构。给出了压路机翻车保护结构塑性大变形数值计算方法,并应用弹塑性大变形有限元方法对该压路机的安全驾驶室翻车保护进行了数值模拟和侧向加载、垂直加载及其纵向加载的实验室试验。二者结果对比表明:作者研制的压路机安全驾驶室侧向、垂直和纵向加载工况的保护特性均可满足国际标准ISO3471的要求,数值模拟结果与试验结果基本一致。 展开更多
关键词 专业机械工程 压路机 翻车保护结构 非线性分析 减振装置 破坏性试验 安全驾驶室
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Nano-Cs_(x)WO_(3):Ultra-broadband nonlinear optical modulator for near-infrared and mid-infrared ultrafast fiber lasers generation 被引量:2
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作者 Nan Li Heng Jia +3 位作者 Ming Guo Wenying Zhang Ji Wang Lijun Song 《Nano Research》 SCIE EI CSCD 2022年第5期4403-4410,共8页
Saturable absorbers(SAs)covering wavelengths from near-infrared(NIR)to mid-infrared(MIR)band are required for mode-locking and Q-switching lasers in muti-band wavelengths.Here,broadband nonlinear optical property was ... Saturable absorbers(SAs)covering wavelengths from near-infrared(NIR)to mid-infrared(MIR)band are required for mode-locking and Q-switching lasers in muti-band wavelengths.Here,broadband nonlinear optical property was discovered in Cs_(x)WO_(3) nanorods(NRs),which as a novel non-stoichiometric SA for realizing ultrafast fiber lasers is first demonstrated.The Cs_(x)WO_(3) NRs based SA exhibited good mode-locking ability in three key wavelengths from NIR to MIR region,which is a key advantage over the most reported broadband SAs.The given Cs_(x)WO_(3) NRs showed a broadband optical absorption from 800 to 3,200 nm,and excellent SA properties at 1-μm,1.5-μm,and 2-μm optical bands.Employing such SA,the ultrashort pulse lasers with a pulse duration/repetition rate of 530 fs/37.42 MHz at 1,567 nm and 5.6 ps/41.50 MHz at 1,965 nm from Er-and Tm-doped fiber lasers(TDFL)were realized separately.In addition,a stable mode locked operation at 1,030 nm with a repetition rate of 48.80 MHz was also achieved from Yb-doped fiber laser(YDFL).This work not only offers a new and reliable broadband mode locker for ultrafast laser generation,but also broadens the application of Cs_(x)WO_(3) materials in the field of nonlinear fiber optics. 展开更多
关键词 Cs_(x)WO_(3)nanorods(NRs) nonlinear optical modulator broadband saturable absorber ultrafast fiber laser
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非线性橡胶弹簧减振系统的数值分析与设计方法 被引量:3
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作者 李水利 周建民 《现代制造工程》 CSCD 北大核心 2019年第11期123-128,共6页
针对非线性减振器的分析与设计问题,通过数值方法建立非线性减振系统的动力学模型,提出一种具有一般适用性的非线性减振系统设计方法,并进行验证。首先,通过对某型非线性橡胶弹簧进行仿真分析,并利用数值方法建立非线性橡胶弹簧减振系... 针对非线性减振器的分析与设计问题,通过数值方法建立非线性减振系统的动力学模型,提出一种具有一般适用性的非线性减振系统设计方法,并进行验证。首先,通过对某型非线性橡胶弹簧进行仿真分析,并利用数值方法建立非线性橡胶弹簧减振系统的动力学方程;其次,提出一种包括系统线性特征设计,非线性特征设计及参数设计在内的非线性减振系统数值设计方法,并以非线性橡胶弹簧减振系统为例进行分析与设计;最后,通过实验对设计结果进行验证。分析结果表明,非线性橡胶弹簧减振系统的数值分析及设计方法能够准确设计非线性减振系统的动力学特征,为更复杂的非线性减振系统提供了分析及设计方法。 展开更多
关键词 非线性 减振系统 橡胶弹簧 数值方法 分析与设计
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Shock response mitigation of a large-scale structure by modal energy redistribution facilitated by a strongly nonlinear absorber 被引量:1
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作者 Xiang Li lireza Mojahed +2 位作者 Li-Qun Chen Lawence A.Bergman Alexander F.Vakakis 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2022年第6期39-54,I0001,共17页
A lightweight geometrically nonlinear attachment,the strongly nonlinear absorber(SNA),is adopted to suppress the shock response of a linear,large-scale nine-story structure.The role of the SNA is not only to dissipate... A lightweight geometrically nonlinear attachment,the strongly nonlinear absorber(SNA),is adopted to suppress the shock response of a linear,large-scale nine-story structure.The role of the SNA is not only to dissipate but also to redistribute the shock energy among the modes of the structure.In this study,single-and two-degree-of-freedom(SDOF and Two-DOF)SNAs are investigated.The quantitative results for shock energy redistribution indicate that with strong geometric nonlinearity,one can achieve low-to-high frequency nonlinear targeted energy transfer in this structure.Specifically,the percentages of shock energy dissipated by higher structural modes for the cases of locked SNA,SDOF SNA,and Two-DOF SNA are 0.08%,0.43%,and 30.04%,respectively.The results indicate that the Two-DOF SNA is capable of rapidly scattering far more energy to much higher frequencies than the SDOF SNA,thereby more quickly reducing the shock response of the primary structure.The robustness of the performance of the SNAs is also studied for varying shock intensities,where the Two-DOF SNA is shown to be significantly more robust at scattering shock energy from low to high frequencies.Last,an effective damping measure is employed to verify and quantify the redistribution of the modal energies in the primary structure.The potential applications of this new passive shock mitigation method are discussed. 展开更多
关键词 Strongly nonlinear absorber Shock response mitigation Targeted energy transfer Modal energy redistribution Geometric nonlinearity
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车辆悬架部件的非线性特性研究进展 被引量:2
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作者 王靖岳 郭胜 鄂加强 《噪声与振动控制》 CSCD 2017年第4期74-79,共6页
空气弹簧、阻尼减振器和钢板弹簧是车辆悬架系统的重要组成部件,它们都具有非线性特性,可大大提高车辆的行驶平顺性。从非线性科学角度,重点介绍了空气弹簧、阻尼减振器和钢板弹簧的研究现状和非线性特性及其对改善车辆性能的作用。分... 空气弹簧、阻尼减振器和钢板弹簧是车辆悬架系统的重要组成部件,它们都具有非线性特性,可大大提高车辆的行驶平顺性。从非线性科学角度,重点介绍了空气弹簧、阻尼减振器和钢板弹簧的研究现状和非线性特性及其对改善车辆性能的作用。分析了非线性车辆悬架部件的研究方法和发展方向。 展开更多
关键词 振动与波 悬架系统 非线性 空气弹簧 阻尼减振器 钢板弹簧
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电磁-永磁式强非线性吸振器的减振性能研究 被引量:1
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作者 唐明君 陈建恩 +1 位作者 陆文星 杜锦龙 《噪声与振动控制》 CSCD 北大核心 2022年第4期235-239,共5页
提出一种新型的磁力非线性吸振器,该吸振器的电磁-永磁结构的力学特性曲线具有中间平缓、两端陡峭的强非线性特征。推导出连接该吸振器的线性振子的动力学方程并运用龙格库塔法对其所连接不同刚度的主振子的减振性能进行分析。研究结果... 提出一种新型的磁力非线性吸振器,该吸振器的电磁-永磁结构的力学特性曲线具有中间平缓、两端陡峭的强非线性特征。推导出连接该吸振器的线性振子的动力学方程并运用龙格库塔法对其所连接不同刚度的主振子的减振性能进行分析。研究结果表明,当外部激励达到吸振器的激活阈值以后,其能够实现宽频吸振并对于不同刚度的线性主振子均具有较高的减振性能。此外,适当减小电磁铁和永磁铁的间距,能够在一定程度上提升吸振器的减振性能。 展开更多
关键词 振动与波 非线性 电磁斥力 吸振器 宽频吸振
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Third-order nonlinear optical responses of CuO nanosheets for ultrafast pulse generation
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作者 Li Dong Hongwei Chu +2 位作者 Ying Li Shengzhi Zhao Dechun Li 《Journal of Materiomics》 SCIE 2022年第2期511-517,共7页
As a representative transition metal oxide,cupric oxide(CuO)has attracted a lot of interest in miscel-laneous fields.In the present work,the prominent third-order nonlinear optical(NLO)features of CuO nanosheets were ... As a representative transition metal oxide,cupric oxide(CuO)has attracted a lot of interest in miscel-laneous fields.In the present work,the prominent third-order nonlinear optical(NLO)features of CuO nanosheets were demonstrated via the typical Z-scan technique at 1 m m.The open-aperture(OA)Z-scan measurements at different intensities clearly showed that CuO nanosheets possessed the saturable ab-sorption(SA),reverse saturable absorption(RSA)and optical limiting behaviors.The closed-aperture(CA)Z-scan technology was implanted to investigate the nonlinear refractive index and the third-order nonlinear susceptibility.In virtue of the strong nonlinear optical absorption properties of CuO nano-sheets,a stable all-solid-state mode-locked laser with the as-prepared CuO nanosheets as saturable absorber at 1.06 m m was realized for the first time.Our work confirmed that CuO nanosheets exhibited outstanding NLO properties,which might stimulate the development in ultrafast photonics and nonlinear optics. 展开更多
关键词 Transition metal oxide nonlinear saturable absorption nonlinear susceptibility Saturable absorber MODE-LOCKING
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VO_(x)/NaVO_(3) nanocomposite as a novel saturable absorber for passive Q-switching operation
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作者 Linghao Kong Hongwei Chu +3 位作者 Na Li Han Pan Shengzhi Zhao Dechun Li 《Chinese Optics Letters》 SCIE EI CAS CSCD 2022年第5期24-28,共5页
We report VO_(x)/NaVO_(3) nanocomposite as a novel saturable absorber for the first time,to the best of our knowledge.The efficient nonlinear absorption coefficient and the modulation depth are determined by the Z-sca... We report VO_(x)/NaVO_(3) nanocomposite as a novel saturable absorber for the first time,to the best of our knowledge.The efficient nonlinear absorption coefficient and the modulation depth are determined by the Z-scan technology.As a saturable absorber,a passively Q-switched Nd-doped bulk laser at 1.34μm is demonstrated,producing the shortest pulse duration of 129 ns at a repetition rate of 274 kHz.In the passively Q-switched Tm:YLF laser with the prepared saturable absorber,the shortest pulse duration was 292 ns with a repetition rate of 155 kHz.Our work confirmed the saturable absorption in VO_(x)/NaVO_(3) for possible optical modulation in the near-infrared region. 展开更多
关键词 nonlinear optical properties saturable absorber VO_(x)/NaVO_(3)composite O-switching
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Mode-locked all-fiber laser with high stability based on cobalt oxyfluoride 被引量:1
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作者 Ximei Liu Mengli Liu +4 位作者 Yaorong Wang Kai Huang Ming Lei Wenjun Liu Zhiyi Wei 《Chinese Optics Letters》 SCIE EI CAS CSCD 2021年第8期75-78,共4页
Recent years have witnessed the exploration of fiber laser technology focused on numerous pivotal optoelectronic applications from laser processing and remote sensing to optical communication. Here, using cobalt oxyfl... Recent years have witnessed the exploration of fiber laser technology focused on numerous pivotal optoelectronic applications from laser processing and remote sensing to optical communication. Here, using cobalt oxyfluoride(Co OF) as the nonlinear material, a 156 fs mode-locked fiber laser with strong stability is obtained. The rapid thermal annealing technique is used to fabricate the Co OF, which is subsequently transferred to the tapered region of the microfiber to form the effective pulse modulation device. Co OF interacts with the pulsed laser through the evanescent field to realize the intracavity pulse shaping, and then the stable mode-locked pulse is obtained. The mode-locked operation is maintained with the pulse duration of 156 fs and repetition rate of 49 MHz. In addition, the signal-to-noise ratio is about 90 d B. Those experimental results confirm the attractive nonlinear optical properties of Co OF and lay a foundation for the ultrafast application of lowdimensional transition metal oxides. 展开更多
关键词 fiber laser nonlinear materials mode-locked fiber laser saturable absorber
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SEMI ACTIVE VIBRATION CONTROL BASED ON A VIBRATION ABSORBER WITH ADJUSTABLE CLEARANCE 被引量:1
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作者 胡海岩 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1996年第2期18+12-17,共7页
Presented in this paper is a semi active vibration control strategy based on the vibration absorber with adjustable clearance in elastic component. The control law of the clearance for alleviating the vibration of pr... Presented in this paper is a semi active vibration control strategy based on the vibration absorber with adjustable clearance in elastic component. The control law of the clearance for alleviating the vibration of primary system is derived by means of harmonic balancing technique so that the working frequency of the vibration absorber can trace the frequency variation of the harmonic excitation. The efficacy of the strategy is demonstrated by numerical simulations for attenuating the steady state vibration of a SDOF system and a 2 DOF system, which are under the harmonic excitation with slowly varied frequency in a wide range. 展开更多
关键词 vibration attenuation nonlinear vibration vibration absorber piecewise linear system semi active vibration control
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非线性减振器抑制旋转叶片受迫振动响应 被引量:1
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作者 郭虎伦 曹树谦 陈予恕 《强度与环境》 2016年第4期41-48,共8页
采用非线性减振器NES(Nonlinear Energy Sink)抑制旋转叶片的受迫振动响应。首先采用拟Hamilton原理建立了旋转叶片与NES耦合系统的动力学方程,并采用Galerkin离散得到了系统的非线性常微分方程组。而后采用谐波平衡法求得了旋转叶片受... 采用非线性减振器NES(Nonlinear Energy Sink)抑制旋转叶片的受迫振动响应。首先采用拟Hamilton原理建立了旋转叶片与NES耦合系统的动力学方程,并采用Galerkin离散得到了系统的非线性常微分方程组。而后采用谐波平衡法求得了旋转叶片受迫振动一阶响应幅值的解析表达式。最后分别讨论了转速、NES质量、阻尼、非线性刚度和安装位置对振动抑制的影响。分析发现,NES能够随着转速的变化自动匹配叶片的共振频率,从而起到降低叶片共振响应的作用。另外,增大NES质量、阻尼、非线性刚度或将NES安装在靠近叶片自由端都能有效降低叶片的共振响应。 展开更多
关键词 旋转叶片 非线性减振器 NES 振动抑制
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直升机桨叶/吸振器系统的组合共振研究 被引量:1
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作者 周薇 韩景龙 《振动工程学报》 EI CSCD 北大核心 2015年第2期248-254,共7页
应用Lagrange方程建立了直升机桨叶/吸振器系统的非线性振动模型,将一种规范型计算方法引入到桨叶/吸振器系统的组合共振研究,分析了该系统在发生组合共振时的稳定性和局部分岔特性。利用多尺度法求出系统平均方程,并对平均方程存在一... 应用Lagrange方程建立了直升机桨叶/吸振器系统的非线性振动模型,将一种规范型计算方法引入到桨叶/吸振器系统的组合共振研究,分析了该系统在发生组合共振时的稳定性和局部分岔特性。利用多尺度法求出系统平均方程,并对平均方程存在一对纯虚特征值与双零特征值的两类临界情形进行了研究,得到了系统的Hopf分岔解、分岔路径以及转迁曲线,给出了初始平衡解的稳定区域。对每一种情形,理论预测结果均与Runge-Kutta验证结果完全一致。 展开更多
关键词 非线性振动 组合共振 吸振器 多尺度法 规范型方法
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非线性减振器隔振分析及其与线性问题的比较
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作者 肖红军 《科技信息》 2010年第27期I0031-I0032,I0084,共3页
以线性阻尼、立方刚度非线性系统为例,对非线性隔振理论进行了初步探讨,获得了系统的无量纲运动响应和传递率,同时将它们与线性问题进行比较,着重讨论了非线性的影响,得到了一些有用的结论。
关键词 非线性减振器 线性减振器 运动响应 隔振
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