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振动体系固有频率计算公式分析 被引量:2
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作者 冷冰林 颜祥程 林可心 《山西建筑》 2013年第21期20-22,共3页
在总结以往理论研究成果的基础上,分析了几个计算振动体系固有频率的计算公式,并且结合实际例题进行对比,得出了有一定优越性的计算公式,对实际工程中振动体系固有频率的计算有重要的意义。
关键词 振动体系 固有频率 计算公式
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振动体系频率方程的研究及其在工程中的应用
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作者 陈炯 《工业建筑》 CSCD 北大核心 1994年第6期35-41,共7页
本文基于振动体系的频率方程,提出了当一个结构的质量分布和刚度分布发生改变而构成一个新的结构时,利用刚度和质量变化前的结构的自振频率来计算新的结构的自振频率的方法,探讨了这种方法的工程应用范围。并选用一个工程实例详尽地... 本文基于振动体系的频率方程,提出了当一个结构的质量分布和刚度分布发生改变而构成一个新的结构时,利用刚度和质量变化前的结构的自振频率来计算新的结构的自振频率的方法,探讨了这种方法的工程应用范围。并选用一个工程实例详尽地叙述了其计算过程。 展开更多
关键词 频率方程 振动体系 结构设计
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基于水分子振动体系的Lyapunov指数的计算
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作者 刘松红 庞成群 《毕节学院学报(综合版)》 2012年第8期80-82,共3页
采用wolf重构法改进了水分子振动体系最大Lyapunov指数的计算,通过对水分子振动体系的最大Lyapunov指数的计算,得到了计算水分子振动体系的最大Lyapunov指数合适的初始长度、延迟时间以及总的演化时间。
关键词 动力学:振动体系 LYAPUNOV指数
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变参数体系自由振动初值问题新解法
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作者 汪静霞 吴兆颜 《吉林建筑工程学院学报》 CAS 1996年第1期19-28,共10页
本文指出一类广泛的变参数体系的自由振动方程可以写成 X(t)=A(t)X(t),式中A(t)是一个半单线性算子其全部特征值都是纯虚数.对这类方程(量子力学中的 Schr(?)d-inger 方程是其特例),在 A(t)变化缓慢的假定下,本文提出了一种普适解法,把... 本文指出一类广泛的变参数体系的自由振动方程可以写成 X(t)=A(t)X(t),式中A(t)是一个半单线性算子其全部特征值都是纯虚数.对这类方程(量子力学中的 Schr(?)d-inger 方程是其特例),在 A(t)变化缓慢的假定下,本文提出了一种普适解法,把问题归为求解 A(t)的特征方程.只要知道 A(t)的特征值和特征向量,就可以写下上述方程初值问题的解,达到任意精确程度. 展开更多
关键词 变参数体系自由振动 初值问题 振动分析 绝热近似
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高架轨道交通引起环境振动的实测与数值模拟 被引量:51
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作者 蒋通 张昕 《同济大学学报(自然科学版)》 EI CAS CSCD 北大核心 2004年第5期565-569,共5页
从现场实测和数值模拟 2个方面分析研究上海高架轨道交通明珠线引起的环境振动实况、发生机理及振动传播规律 .根据实测资料提出了预测明珠线引起环境振动振级的统计回归公式 .建立了车 -桥子结构和框架 -地基基础子结构 2个体系的分析... 从现场实测和数值模拟 2个方面分析研究上海高架轨道交通明珠线引起的环境振动实况、发生机理及振动传播规律 .根据实测资料提出了预测明珠线引起环境振动振级的统计回归公式 .建立了车 -桥子结构和框架 -地基基础子结构 2个体系的分析模型及计算方法 .计算了典型区段在列车通过时引起的沿线环境振动 .数值模拟分析结果表明 ,用提出的分析模型和计算方法算得的环境振动振级与统计回归公式符合较好 . 展开更多
关键词 城市高架轨道交通 振动实测 车-桥体系振动分析 土-结构动相互作用
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地基承载力动测的附加质量法 被引量:20
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作者 李丕武 《地球物理学报》 SCIE EI CAS CSCD 北大核心 1993年第5期683-687,共5页
本文介绍的方法是将地基的振动问题等效为质量弹簧体系,并在该体系上附加一级或多级质量块,测出该体系的动刚度及地基土的参振质量;再通过动静关系求得地基承载力。从理论及方法上摆脱了土动力学中求地基土动刚度及参振质量的困扰。
关键词 地基 承载力 附加质量法 振动体系
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含无限刚性体结构的动力学特征与工程应用 被引量:1
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作者 朱慈勉 吴宇清 《力学与实践》 CSCD 北大核心 2005年第2期26-28,共3页
除显含无限刚性段的振动体系外,结合动力问题有限单元法中的一致质量矩阵提出了隐性无限刚 性的概念,以及由此引起的振动惯性耦合问题.结合地震作用下高层建筑与桩-土相互作用时的动力响应,提 出了对于实际工程问题利用分支模态二步分... 除显含无限刚性段的振动体系外,结合动力问题有限单元法中的一致质量矩阵提出了隐性无限刚 性的概念,以及由此引起的振动惯性耦合问题.结合地震作用下高层建筑与桩-土相互作用时的动力响应,提 出了对于实际工程问题利用分支模态二步分析法建立计算模型时应注意的问题. 展开更多
关键词 动力学特征 工程应用 刚性 体结构 桩-土相互作用 有限单元法 振动体系 质量矩阵 动力问题 动力响应 高层建筑 地震作用 耦合问题 振动惯性 计算模型 工程问题 分析法
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混凝土重力坝自振特性空间分析研究
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作者 张崇文 桂国庆 黄天纵 《江西水利科技》 1990年第3期1-9,共9页
混凝土重力坝动力特性的计算模型一般采用一维梁系或二维平面应力状态。本文提出混凝土重力坝动力特性的计算模型是一个三维空间的振动体系,并采用有限单元法进行分析研究。研究结果表明,空间状态下坝段的振动特性比一维梁系和二维平面... 混凝土重力坝动力特性的计算模型一般采用一维梁系或二维平面应力状态。本文提出混凝土重力坝动力特性的计算模型是一个三维空间的振动体系,并采用有限单元法进行分析研究。研究结果表明,空间状态下坝段的振动特性比一维梁系和二维平面应力状态的分析更为符合实际。尤其是发现坝段在空间状态下的振动,其第3、7阶呈扭转为主振动的振型;第10阶呈鞭鞘状振动的振型(坝高100米)。这些对于坝段的抗震设计是十分有益的。 展开更多
关键词 混凝土 重力坝 空间振动体系
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隧道突涌水防突结构微震响应初至拾取方法研究 被引量:2
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作者 李利平 陈彦好 +4 位作者 靳昊 成帅 孙子正 胡慧江 陈迪杨 《中国铁路》 2019年第11期89-97,共9页
微震监测技术可通过对防突结构微震事件活动的监测实现对突涌水灾害时空演化过程的评价,而微震信号P波初至的精确拾取是突涌水通道活动精准定位的前提。为了实现突涌水过程中微震信号P波初至的精确拾取,提出能量分析拾取法,基于单自由... 微震监测技术可通过对防突结构微震事件活动的监测实现对突涌水灾害时空演化过程的评价,而微震信号P波初至的精确拾取是突涌水通道活动精准定位的前提。为了实现突涌水过程中微震信号P波初至的精确拾取,提出能量分析拾取法,基于单自由度振动体系(SDOF)将突涌水微震事件引起的质点加速度运动记录进行能量域转化,使得时间序列中的波至特征在体系输入能、阻尼耗能及弹性动能序列上得到凸显,以此实现P波初至的精准识别,提高定位精度。对比分析不同信噪比微震信号,验证了该方法对于低信噪比的微震信号仍具有明显特征响应。通过构建震源定位双曲线模型,进行STA/LTA的2种拾取方法误差验证。实例显示,定位误差分布范围从STA/LTA的13.3 m缩窄至基于能量分析拾取法的7.8 m。结果表明:该拾取方法优于STA/LTA,能够在无预设阈值的情况下完成波动初至的拾取,避免了预设阈值的人为误差,具有更好的误差控制。 展开更多
关键词 隧道工程 微震 初至拾取 单自由度振动体系 能量域分析 无阈值拾取 误差控制
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一个基于双重基本假定的另类显式积分格式
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作者 张晓志 刘龙江 曹玲 《东北电力大学学报》 2011年第5期98-103,共6页
通过结合采用精确法和平均常加速度法的基本假定,推导建立了基于双重基本假定的另类显式积分格式,提出了相关的体系另类振动周期等新概念。基于另类振动周期概念并结合现有相关研究成果,导出了该格式的精度控制准则和形式上的稳定性控... 通过结合采用精确法和平均常加速度法的基本假定,推导建立了基于双重基本假定的另类显式积分格式,提出了相关的体系另类振动周期等新概念。基于另类振动周期概念并结合现有相关研究成果,导出了该格式的精度控制准则和形式上的稳定性控制准则,为开展相关的数值模拟研究准备了必要的基础和前提。 展开更多
关键词 结构动力方程 双重基本假定 另类显式积分格式 体系另类振动周期
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Analysis theory of spatial vibration of high-speed train and slab track system 被引量:13
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作者 向俊 赫丹 曾庆元 《Journal of Central South University of Technology》 EI 2008年第1期121-126,共6页
The motor and trailer cars of a high-speed train were modeled as a multi-rigid body system with two suspensions. According to structural characteristic of a slab track, a new spatial vibration model of track segment e... The motor and trailer cars of a high-speed train were modeled as a multi-rigid body system with two suspensions. According to structural characteristic of a slab track, a new spatial vibration model of track segment element of the slab track was put forward. The spatial vibration equation set of the high-speed train and slab track system was then established on the basis of the principle of total potential energy with stationary value in elastic system dynamics and the rule of "set-in-right-position" for formulating system matrices. The equation set was solved by the Wilson-θ direct integration method. The contents mentioned above constitute the analysis theory of spatial vibration of high-speed train and slab track system. The theory was then verified by the high-speed running experiment carried out on the slab track in the Qinghuangdao-Shenyang passenger transport line. The results show that the calculated results agree well with the measured rcsults, such as the calculated lateral and vertical rail displacements are 0.82 mm and 0.9 mm and the measured ones 0.75 mm and 0.93 mm, respectively; the calculated lateral and vertical wheel-rail forces are 8.9 kN and 102.3 kN and the measured ones 8.6 kN and 80.2 kN, respectively. The interpolation method, that is, the lateral finite strip and slab segment element, for slab deformation proposed is of simplification and applicability compared with the traditional plate element method. All of these demonstrate the reliability of the theory proposed. 展开更多
关键词 slab track track segment element high-speed train spatial vibration
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Optimal design method for force in vibration control of multi-body system with quick startup and brake 被引量:3
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作者 唐华平 彭娅清 《Journal of Central South University of Technology》 EI 2005年第4期459-464,共6页
A kind of active vibration control method was presented through optimal design of driving load of multi-body system with quick startup and brake. Dynamical equation of multi-body system with quick startup and brake wa... A kind of active vibration control method was presented through optimal design of driving load of multi-body system with quick startup and brake. Dynamical equation of multi-body system with quick startup and brake was built, and mathematical model of representing vibration control was also set up according to the moving process from startup to brake. Then optimization vibration control model of system driving load was founded by applying theory of optimization control, which takes rigid body moving variable of braking moment as the known condition, and vibration control equation of multi-body system with quick startup and brake was converted into boundary value problem of differential equation. The transient control algorithm of vibration was put forward, which is the analysis basis for the further research. Theoretical analysis and calculation of numerical examples show that the optimal design method for the multi-body system driving load can decrease the vibration of system with duplication. 展开更多
关键词 vibrationl multi-body system active control
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Active vibration control of multibody system with quick startup and brake based on active damping 被引量:2
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作者 唐华平 唐运军 陶功安 《Journal of Central South University of Technology》 EI 2006年第4期417-421,共5页
A kind of active vibration control method was presented based on active damping and optimization design for driving load of multibody system with quick startup and brake. Dynamical equation of multibody system with qu... A kind of active vibration control method was presented based on active damping and optimization design for driving load of multibody system with quick startup and brake. Dynamical equation of multibody system with quick startup and brake and piezoelectric actuators intelligent structure was built. The optimum driving load was calculated by applying the presented method. The self-sensing and self-tuning closed-loop active vibration control in quick startup and brake process was realized. The control algorithm, using local velocity negative feedback, i.e. the output of a sensor only affects the output of the actuator collocated, can induce damping effectively to actively suppress the system vibration. Based on the optimization design for driving load of multibody system with quick startup and bake, the active damping of piezoelectric actuators intelligent structure was used to farther suppress the vibration of system. Theoretical analysis and calculation of numerical show that the proposed method makes the vibration of system decrease more than the optimal design method for driving load of multibody system. 展开更多
关键词 vibration: multibodv system. active control: niezoelectric actuator
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Fundamental aspects in CO_(2) electroreduction reaction and solutions from in situ vibrational spectroscopies 被引量:4
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作者 Hong Li Kun Jiang +1 位作者 Shou-Zhong Zou Wen-Bin Cai 《Chinese Journal of Catalysis》 SCIE EI CAS CSCD 2022年第11期2772-2791,共20页
Using renewable energy to drive carbon dioxide reduction reaction(CO_(2)RR)electrochemically into chemicals with high energy density is an efficient way to achieve carbon neutrality,where the effective utilization of ... Using renewable energy to drive carbon dioxide reduction reaction(CO_(2)RR)electrochemically into chemicals with high energy density is an efficient way to achieve carbon neutrality,where the effective utilization of CO_(2) and the storage of renewable energy are realized.The reactivity and selectivity of CO_(2)RR depend on the structure and composition of the catalyst,applied potential,electrolyte,and pH of the solution.Besides,multiple electron and proton transfer steps are involved in CO_(2)RR,making the reaction pathways even more complicated.In pursuit of molecular-level insights into the CO_(2)RR processes,in situ vibrational methods including infrared,Raman and sum frequency generation spectroscopies have been deployed to monitor the dynamic evolution of catalyst structure,to identify reactive intermediates as well as to investigate the effect of local reaction environment on CO_(2)RR performance.This review summarizes key findings from recent electrochemical vibrational spectrosopic studies of CO_(2)RR in addressing the following issues:the CO_(2)RR mechanisms of different pathways,the role of surface-bound CO species,the compositional and structural effects of catalysts and electrolytes on CO_(2)RR activity and selectivity.Our perspectives on developing high sensitivity wide-frequency infrared spectroscopy,coupling different spectroelectrochemical methods and implementing operando vibrational spectroscopies to tackle the CO_(2)RR process in pilot reactors are offered at the end. 展开更多
关键词 Carbon dioxide electroreduction reaction Electrocatalytic mechanism Vibrational spectroscopy INTERMEDIATE Structure-performance relation Electrolyte effect
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Oscillation of Neutral Differential Equations with Integrally Small Coefficients
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作者 高剑明 叶海平 《Journal of Donghua University(English Edition)》 EI CAS 2005年第3期80-84,共5页
Some new sufficient conditions for the oscillation of the neutral equationddt[y(t)-R(t)y(t-r)]+P(t)y(t-τ)- Q(t)y(t-σ)=0, where P,Q,R∈C([t0,∞),R+) and r,τ,σ∈(0,∞),are obtained for the case whe... Some new sufficient conditions for the oscillation of the neutral equationddt[y(t)-R(t)y(t-r)]+P(t)y(t-τ)- Q(t)y(t-σ)=0, where P,Q,R∈C([t0,∞),R+) and r,τ,σ∈(0,∞),are obtained for the case where former results can not be applied in this paper. 展开更多
关键词 differential equation DELAY NEUTRAL OSCILLATION
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结构动力方程另类显式逐步积分格式研究 被引量:2
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作者 张晓志 刘龙江 曹玲 《世界科技研究与发展》 CSCD 2011年第6期978-982,共5页
现有显式积分格式的稳定性与计算结果的取信度均远逊于常用的隐式积分格式,这是制约现有显式积分格式在大型结构动力分析软件以及其它相关软件中广泛应用的瓶颈。以解决这一瓶颈问题为研究目标,通过结合采用精确法和平均常加速度法的基... 现有显式积分格式的稳定性与计算结果的取信度均远逊于常用的隐式积分格式,这是制约现有显式积分格式在大型结构动力分析软件以及其它相关软件中广泛应用的瓶颈。以解决这一瓶颈问题为研究目标,通过结合采用精确法和平均常加速度法的基本假定,推导建立了基于双重基本假定的另类显式积分格式,提出了相关的体系另类振动周期等新概念。基于另类振动周期概念并结合现有相关研究成果,导出了该格式的精度控制准则和形式上的稳定性控制准则,为开展相关的数值模拟研究准备了必要的基础和前提。概述了开展相关数值模拟研究的技术路线,对业已取得的主要数值模拟研究结果做了先期预告和初步讨论。 展开更多
关键词 结构动力方程 双重基本假定 另类显式积分格式 体系另类振动周期
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Identification of hydrodynamic coefficients from experiment of vortex-induced vibration of slender riser model 被引量:5
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作者 TANG GuoQiang LU Lin +3 位作者 TENG Bin PARK HanI1 SONG JiNing ZHANG JianQiao 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第7期1894-1905,共12页
One of the challenges in predicting the dynamic response of deepwater risers under vortex-induced vibration (VIV) is that it runs short of believable fluid loading model. Moreover, the hydrodynamic loading is also d... One of the challenges in predicting the dynamic response of deepwater risers under vortex-induced vibration (VIV) is that it runs short of believable fluid loading model. Moreover, the hydrodynamic loading is also difficult to be measured directly in the VIV experiments without disturbing the fluid field. In the present work, by means of a finite element analysis method based on the experimental data of the response displacements, the total instantaneous distributions of hydrodynamic forces together with the hydrodynamic coefficients on the riser model with large aspect ratio (length/ddiameter) of 1750 are achieved. The steady current speeds considered in the experiments of this work are ranging from 0.15 rn/s to 0.60 m/s, giving the Reynolds Number between 2400 and 9600. The hydrodynamic coefficients are evaluated at the fundamental frequency and in the higher order frequency components for both in-line and cross-flow directions. It is found that the Root-Mean Squared hydrodynamic forces of the higher order response frequency are larger than those of the fundamental response frequency. Negative lift or drag coefficients are found in the numerical results which is equivalent to the effect of fluid damping. 展开更多
关键词 vortex-induced vibration deepwater riser hydrodynamic coefficients finite element method dynamic response
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Heteroclinic bifurcations in attitude maneuver of coupled slosh-spacecraft with flexible appendage 被引量:2
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作者 YUE BaoZeng SONG XiaoJuan 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第8期2090-2099,共10页
In this paper, the chaotic dynamics in an attitude transition maneuver of a slosh-spacecraft coupled with flexible appendage in going from minor axis to major axis spin under the influence of dissipative effects due t... In this paper, the chaotic dynamics in an attitude transition maneuver of a slosh-spacecraft coupled with flexible appendage in going from minor axis to major axis spin under the influence of dissipative effects due to fuel slosh and a small flexible appendage constrained to only torsional vibration is investigated. The slosh-spacecraft coupled with flexible appendage in attitude maneuver carrying a sloshing liquid is considered as multi-body system with the sloshing motion modeled as a spherical pendulum. The focus in this paper is that the dynamics of the liquid and flexible appendage vibration are coupled. The equations of motion are derived and transformed into a form suitable for the application of Melnikov’s method. Melnikov’s integral is used to predict the transversal intersections of the stable and unstable manifolds for the perturbed system. An analytical criterion for chaotic motion is derived in terms of system parameters. This criterion is evaluated for its significance to the design of spacecraft. The dependence of the onset of chaos on quantities such as body shape and magnitude of damping values, fuel fraction and torsional vibration frequency of flexible appendage are investigated. In addition, we show that a spacecraft carrying a sloshing liquid, after passive reorientation maneuver, will end up with periodic limit motion other than a final major axis spin because of the intrinsic non-linearity of fuel slosh. Furthermore, an extensive numerical simulation is carried out to validate the Melnikov’s analytical result. 展开更多
关键词 CHAOTIC attitude maneuver liquid-filled spacecraft flexible appendage liquid slosh
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Phase transformation and shape evolution of iron oxide nanocrystals synthesized in the ethylene glycol-water system
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作者 LIU RongZheng ZHAO YuZhen +2 位作者 HUANG RongXia ZHAO YongJie ZHOU HePing 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第7期1271-1276,共6页
Iron oxide particles with various shapes,sizes and phase concentrations(including--Fe2O3 and Fe3O4) have been synthesized through a simple hydrothermal method in the ethylene glycol(EG)-water system.In the preparation... Iron oxide particles with various shapes,sizes and phase concentrations(including--Fe2O3 and Fe3O4) have been synthesized through a simple hydrothermal method in the ethylene glycol(EG)-water system.In the preparation conditions,ferric chloride(FeCl3.6H2O) was used as the iron source in the presence of sodium hydroxide(NaOH) without any surfactants.By adjusting the experimental parameters(EG/H2O ratio,base content,iron ions concentration,etc.),the shape,the size,the phase and the magnetic property of the products could be easily controlled.The products were characterized by using X-ray diffraction(XRD),scanning electron microscopy(SEM),and a vibrating sample magnetometer(VSM).A further investigation revealed that high EG content and high alkaline condition favored the formation of Fe3O4 phase.A possible growth mechanism was proposed based on the experimental results.The magnetic properties were deeply affected by the morphology and phase of the as-synthesized products.The controlled shape,size and phase structure of the iron oxides through simple synthetic procedures provides potential opportunities to realize the promising size and shape-dependent applications. 展开更多
关键词 iron oxide SHAPE SIZE phase transformation magnetic property
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Thickness-stretch vibration of a crystal plate carrying a micro-rod array
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作者 LIU Nan YANG JiaShi WANG Ji 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2012年第11期2152-2157,共6页
We analyze thickness-stretch vibrations of a plate of hexagonal crystal carrying an array of micro-rods with their bottoms fixed to the top surface of the plate.The rods undergo longitudinal vibrations when the crysta... We analyze thickness-stretch vibrations of a plate of hexagonal crystal carrying an array of micro-rods with their bottoms fixed to the top surface of the plate.The rods undergo longitudinal vibrations when the crystal plate is in thickness-stretch motion.The plate is modeled by the theory of anisotropic elasticity.The rods are modeled by the one-dimensional structural theory for extensional vibration of rods.A frequency equation is obtained and solved using perturbation method.The effect of the rod array on the resonant frequencies of the crystal plate is examined.The results are potentially useful for using thickness-stretch modes of crystal plates to measure the mechanical properties of microrod arrays. 展开更多
关键词 PLATE ROD VIBRATION sensor
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