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A New Inertial Sensing System for Dynamic Measurement of Parallel Machines
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作者 GUAN Rong-gen REN Hai-liang GU Ling 《International Journal of Plant Engineering and Management》 2009年第2期84-89,共6页
One way to solve the problem of measurement precision caused by deformity for thermal expansion, friction and load etc is to use an inertial sensor to measure a change in the length of the rod on a parallel machine. H... One way to solve the problem of measurement precision caused by deformity for thermal expansion, friction and load etc is to use an inertial sensor to measure a change in the length of the rod on a parallel machine. However, the characteristic of dynamic measurement in the inertial sensing system and the effects of the machine's working environment, bias error, misalignment and wide band random noise in inertial measurement data results in the in-accuracy of system measurement. Therefore, on the basis of the measurement system a new inertial sensing system is proposed; the drifting of error is restrained with a method of inertial error correction and the system's position and the velocity state variables are predicted by the data fusion. After measuring the whole 300mm movement in an experiment, the analyses of the experimental result showed that the application of the new inertial sensing system can improve the positional accuracy about 61% and the movement precision more than 20%. Measurement results also showed that the application of the new inertial sensing system for dynamic measurement was a feasible method to improve the machine's dynamic positioning precision. And with the further improvement of the low-cost solid-stateacceleramenter technology, the application of the machine can take a higher position and make the speed dynamic accuracy possible. 展开更多
关键词 parallel machine dynamic measurement new inertial sensing system error correction
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Research on dynamic measurement method of speckle in laser display
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作者 LIU Hong LIU Yaning ZHANG Xiaoyu 《Optoelectronics Letters》 EI 2024年第6期360-366,共7页
Laser display technology is the most promising display technology in the market and is widely used in many fields. However, laser speckle has been troubling the application and expansion of this technology in some fie... Laser display technology is the most promising display technology in the market and is widely used in many fields. However, laser speckle has been troubling the application and expansion of this technology in some fields. In order to better evaluate the speckle, speckle measurement methods must be studied. In this study, a dynamic measurement method for laser speckles is proposed according to the optical superposition characteristics of speckle, which can reduce the influence of non-coherent factors on the speckle measurement results. The feasibility of the dynamic speckle measurement method is verified by designing an experimental scheme. 展开更多
关键词 Research on dynamic measurement method of speckle in laser display
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Strain Effect of Manganin Transverse Piezoresistive Gauge and Measurement of Dynamic Transverse Stresses 被引量:1
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作者 段卓平 欧卓成 +1 位作者 蔡绍佳 黄风雷 《Journal of Beijing Institute of Technology》 EI CAS 2010年第3期253-258,共6页
Manganin piezoresistive gauges have been extensively used in dynamic stress measurement for decades.It is noted,however,that when used to measure transverse stresses,considerable strain effect is caused as the consequ... Manganin piezoresistive gauges have been extensively used in dynamic stress measurement for decades.It is noted,however,that when used to measure transverse stresses,considerable strain effect is caused as the consequence of change of electrical resistance resulted from bending of wires in the longitudinal-strain-experiencing sensing element of the gauge,a phenomenon discussed in this paper theoretically as well as experimentally.This effect yields unwanted signals to blend with output piezoresistive signals and is not negligible,hence decreases measurement accuracy sizably if not properly handled.To overcome this drawback,a new type of manganin transverse piezoresistive gauge has been developed by authors of this paper,which can reduce the resistance increment to acceptable low level so as to effectively bring the adverse effect under control. 展开更多
关键词 engineering mechanics transverse stress dynamic measurement manganin piezoresistive stress gauge strain effect
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Dynamic Measurement Protocol in Infrastructure as a Service 被引量:1
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作者 Shuang Xiang Bo Zhao +1 位作者 An Yang Tao Wei 《Tsinghua Science and Technology》 SCIE EI CAS 2014年第5期470-477,共8页
Infrastructure as a Service (laaS) has brought advantages to users because virtualization technology hides the details of the physical resources, but this leads to the problem of users being unable to perceive their... Infrastructure as a Service (laaS) has brought advantages to users because virtualization technology hides the details of the physical resources, but this leads to the problem of users being unable to perceive their security. This defect has obstructed cloud computing from wide-spread popularity and development. To solve this problem, a dynamic measurement protocol in laaS is presented in this paper. The protocol makes it possible for the user to get the real-time security status of the resources, thereby solving the problem of guaranteeing dynamic credibility. This changes the cloud service security provider from the operator to the users themselves. This study has verified the security of the protocol by means of Burrow-Abadi-Needham (BAN) logic, and the result shows that it can satisfy requirements for innovation, privacy, and integrity. Finally, based on different laaS platforms, this study has conducted a performance analysis to demonstrate that this protocol is reliable, secure, and efficient. 展开更多
关键词 Burrow-Abadi-Needham (BAN) logic real-time security trusted dynamic measurement
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Dynamic Shear Stress Measurements of PMMA
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作者 段卓平 欧卓成 +1 位作者 蔡绍佳 黄风雷 《Journal of Beijing Institute of Technology》 EI CAS 2010年第4期382-385,共4页
In this paper,experiments of one-dimensional plane plate impact on polymethylmethacrylate(PMMA) targets are conducted,in which dynamic transverse stresses induced in the targets are measured using a new type of mang... In this paper,experiments of one-dimensional plane plate impact on polymethylmethacrylate(PMMA) targets are conducted,in which dynamic transverse stresses induced in the targets are measured using a new type of manganin piezoresistive stress gauge having 50 Ω low-pressure narrow grid-like foil.It is shown that this new instrument can improve measurement accuracy remarkably by reducing the so-called strain effect.Moreover,relationship between shear stress and longitudinal stress within a certain range of the latter is obtained. 展开更多
关键词 engineering mechanics shear stress transverse stress manganin piezoresistive stress gauge polymethylmethacrylate(PMMA) dynamic measurement
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Dynamic Free-Spectral-Range Measurement for Fiber Resonator Based on Digital-Heterodyne Optical Phase-Locked Loop
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作者 Hongchen Jiao Tao Wang +2 位作者 Heli Gao Lishuang Feng Honghao Ma 《Optics and Photonics Journal》 2021年第8期332-340,共9页
<div style="text-align:justify;"> We propose a novel scheme, based on digital-heterodyne optical phase-locked loop with whole-fiber circuit, to dynamically measure the free-spectral-range of a fiber re... <div style="text-align:justify;"> We propose a novel scheme, based on digital-heterodyne optical phase-locked loop with whole-fiber circuit, to dynamically measure the free-spectral-range of a fiber resonator. The optical phase-locked loop is established with a differential frequency-modulation module consists of a pair of acousto-optic modulators. The resonance-tracking loop is derived with the Pound-Drever-Hall technique for locking the heterodyne frequency of the OPLL on the frequency difference between adjacent resonance modes. A stable locking accuracy of about 7 × 10<sup>?9</sup> and a dynamic locking accuracy of about 5 × 10<sup>?8</sup> are achieved with the FSR of 8.155 MHz, indicating a bias stability of the resonator fiber optic gyro of about 0.1?/h with 10 Hz bandwidth. In addition, the thermal drift coefficient of the FSR is measured as 0.1 Hz/?C. This shows remarkable potential for realizing advanced optical measurement systems, such as the resonant fiber optic gyro, and so on. </div> 展开更多
关键词 Free Spectral Range Fiber Resonator dynamic measurement Digital-Heterodyne Optical Phase-Locked Loop Resonant Fiber Optic Gyro
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Continuous Dynamic Rotation Measurements Using a Compact Cold Atom Gyroscope 被引量:10
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作者 姚战伟 鲁思滨 +4 位作者 李润兵 王锴 曹雷 王谨 詹明生 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第8期41-44,共4页
We present an experimental demonstration of the rotation measurement using a compact cold atom gyroscope. Atom interference fringes are observed in the stationary frame and the rotating frame, respectively. The phase ... We present an experimental demonstration of the rotation measurement using a compact cold atom gyroscope. Atom interference fringes are observed in the stationary frame and the rotating frame, respectively. The phase shift and contrast of the interference fringe are experimentally investigated. The results show that the contrast of the interference fringe is well held when the platform is rotated, and the phase shift of the interference fringe is linearly proportional to the rotation rate of the platform. The long-term stability, which is evaluated by the overlapped Allan deviation, is 8.5 × 10^-6 rad/s over the integrating time of 1000s. 展开更多
关键词 of on as is in Continuous dynamic Rotation measurements Using a Compact Cold Atom Gyroscope
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A novel launch dynamics measurement system for multiple launch rocket system and comparative analysis with numerical simulations 被引量:1
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作者 Li-lin Gu Xiao-ting Rui +3 位作者 Guo-ping Wang Yi An Fu-feng Yang Min Wei 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第2期671-681,共11页
In this paper,a novel launch dynamics measurement system based on the photoelectric sensor pair is built.The actual muzzle time(i.e.a time duration that originates from the initial movement to the rocket’s departure ... In this paper,a novel launch dynamics measurement system based on the photoelectric sensor pair is built.The actual muzzle time(i.e.a time duration that originates from the initial movement to the rocket’s departure from the muzzle)and the muzzle velocity are measured.Compared with the classical methods,the actual muzzle time is obtained by eliminating the ignition delay.The comparative analysis method is proposed with numerical simulations established by the transfer matrix method for multibody systems.The experiment results indicate that the proposed measurement system can effectively measure the actual muzzle time and reduce the error of classical methods,which match well with the simulation results showing the launch dynamics model is reliable and helpful for further analysis and design of the MLRS. 展开更多
关键词 Multiple launch rocket system Photoelectric sensor Launch dynamics measurement system Model verification Transfer matrix method for multibody SYSTEMS
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Dynamic Contrast-Enhanced Perfusion MR Imaging Measurements of Endothelial Permeability: Differentiation between Atypical and Typical Meningiomas 被引量:10
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作者 Law M Zagzag D +2 位作者 Golfinos JG Knopp EA Johnson G 《中国神经肿瘤杂志》 2003年第3期149-149,共1页
BACKGROUND: AND PURPOSE: The measurement of relative cerebral blood volume (rCBV) and the volume transfer constant (K(trans)) by means of dynamic contrast-enhanced (DCE) perfusion MR imaging (pMRI) can be useful in ch... BACKGROUND: AND PURPOSE: The measurement of relative cerebral blood volume (rCBV) and the volume transfer constant (K(trans)) by means of dynamic contrast-enhanced (DCE) perfusion MR imaging (pMRI) can be useful in characterizing brain tumors. The purpose of our study was to evaluate the utility of these measurements in differentiating typical meningiomas and atypical meningiomas. METHODS: Fifteen patients with pathologically confirmed typical meningiomas and seven with atypical meningiomas underwent conventional imaging and DCE pMRI before resection.rCBV measurements were calculated by using standard intravascular 展开更多
关键词 MR in DCE dynamic Contrast-Enhanced Perfusion MR Imaging measurements of Endothelial Permeability Differentiation between Atypical and Typical Meningiomas of
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Dynamic Oxygen Storage Capacity Measurements on Ceria-Based Material
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作者 沈美庆 王欣全 +3 位作者 安源 翁端 赵敏伟 王军 《Journal of Rare Earths》 SCIE EI CAS CSCD 2007年第1期48-52,共5页
Dynamic oxygen storage and release capability (OSC) measurement apparatus was designed to evaluate the OSC performance of ceria-based oxygen storage material. The optimum measurement condition was at a frequency of ... Dynamic oxygen storage and release capability (OSC) measurement apparatus was designed to evaluate the OSC performance of ceria-based oxygen storage material. The optimum measurement condition was at a frequency of 0.1 Hz with the inlet gas-flow sequence CO (5S)→O2(5S)→CO→O2 and a flow rate of 300 ml·min^-1. Under this condition, similar regular square wave in the inlet and outlet of the reactor was obtained to guarantee the reliability of the dynamic OSC results. The dynamic OSC performance of the CeO2 and Ce0.67Zr0.33O2 mixed oxide prepared using the citric sol-gel method was studied at the optimum measurement condition with focus on both quantitative and qualitative analyses, The results reveal distinctly that Ce0.67Zr0.33O2 had better dynamic OSC performance because of its higher oxygen migration rate than CeO2. Under dynamic conditions, two CO2 production peaks occurred corresponding to the CO pulse and the O2 pulse, respectively, during the entire cycle. The intensity and ratio between the two CO2 productions were highly influenced by temperature and frequency indicating complex surface phenomena during the oxygen storage/release process, As a result, this set-up can be applied to the evaluation of ceria-based material on the OSC performance. 展开更多
关键词 oxygen storage capacity ceria-based oxygen storage material dynamic OSC measurement rare earths
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ANTICIPATED BACKWARD STOCHASTIC VOLTERRA INTEGRAL EQUATIONS WITH JUMPS AND APPLICATIONS TO DYNAMIC RISK MEASURES
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作者 缪亮亮 陈燕红 +1 位作者 肖肖 胡亦钧 《Acta Mathematica Scientia》 SCIE CSCD 2023年第3期1365-1381,共17页
In this paper, we focus on anticipated backward stochastic Volterra integral equations(ABSVIEs) with jumps. We solve the problem of the well-posedness of so-called M-solutions to this class of equation, and analytical... In this paper, we focus on anticipated backward stochastic Volterra integral equations(ABSVIEs) with jumps. We solve the problem of the well-posedness of so-called M-solutions to this class of equation, and analytically derive a comparison theorem for them and for the continuous equilibrium consumption process. These continuous equilibrium consumption processes can be described by the solutions to this class of ABSVIE with jumps.Motivated by this, a class of dynamic risk measures induced by ABSVIEs with jumps are discussed. 展开更多
关键词 anticipated backward stochastic Volterra integral equations comparison theorems dynamic risk measures
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The study of measuring technology on the dynamic mechanical properties of welded joint with high strainrate 被引量:1
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作者 巩水利 张建勋 +1 位作者 裴怡 于琴 《China Welding》 EI CAS 2000年第1期30-37,共8页
In this paper, to meet the needs of studying work of dynamic mechanical properties of welded joint, the dynamic mechanical properties of welded joint were measured by means of SHPB(Split Hopkinson Pressure Bar).The dy... In this paper, to meet the needs of studying work of dynamic mechanical properties of welded joint, the dynamic mechanical properties of welded joint were measured by means of SHPB(Split Hopkinson Pressure Bar).The dynamic mechanical property's curves of every part of welded joint were obtained. For studying the dynamic behavior of mechanical heterogeneity of welded joint, important data were offered. The method of test creates a new way of studying dynamic mechanical properties of welded joint. 展开更多
关键词 welded joint dynamic mechanical properties measuring technology
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Simulative Measurement of Besetting Bars for Interior Decoration
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作者 Lu Jinbu Jiang Hongying (Gansu University of Technology, Lanzhou, PR.China 730050) 《Computer Aided Drafting,Design and Manufacturing》 2000年第1期36-40,共5页
Generation of besetting bars for interior decoration by means of 3-D scanning is presented Cross-section of besetting bars (the arc length of element's boundary curve) and the trail of element's movement (locu... Generation of besetting bars for interior decoration by means of 3-D scanning is presented Cross-section of besetting bars (the arc length of element's boundary curve) and the trail of element's movement (locus) is simulatively measured by using an arc interpolation algorithm in vector form. 展开更多
关键词 besetting bar element locus dynamic measurement
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Development of DSP-Based Dynamic Signal Processing Module for Turbine Flowmeter
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作者 Liu Yuan Zhang Tianhong 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2016年第5期546-551,共6页
Traditional signal processing methods for turbine flowmeter are unable to solve the contradiction between the real-time performance and the accuracy during the aeroengine bench test or hardware in the loop(HIL)simulat... Traditional signal processing methods for turbine flowmeter are unable to solve the contradiction between the real-time performance and the accuracy during the aeroengine bench test or hardware in the loop(HIL)simulation of aeroengine control system.A dynamic flow measurement method based on cycle number of the flowmeter is proposed.And a DSP-based multi-functional dynamic signal processing module for turbine flowmeter is built to validate the method.The developed system can provide three types of output modes including PWM,frequency and D/A.At the same time,the results can be displayed instantly with the module of serial communication interface to obtain dynamic flow signal with good precision.Experimental results show that the stability of flow measurement is greatly improved with precision guaranteed and the real-time response reaches the maximum limit of turbine flowmeter. 展开更多
关键词 turbine flowmeter DSP cycle-number filter dynamic flow measurement
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ASSESSING THE DYNAMIC ERRORS OF COORDINATE MEASURING MACHINES 被引量:2
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作者 Dong, Chensong Zhang, Guoxiong Mu, Yuhai 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 1998年第4期58-64,共7页
The main factors affecting the dynamic errors of coordinate measuring machines are analyzed. It is pointed out that there are two main contributors to the dynamic errors: One is the rotation of the elements around the... The main factors affecting the dynamic errors of coordinate measuring machines are analyzed. It is pointed out that there are two main contributors to the dynamic errors: One is the rotation of the elements around the joints connected with air bearings and the other is the bending of the elements caused by the dynamic inertial forces. A method for obtaining the displacement errors at the probe position from dynamic rotational errors is presented. The dynamic rotational errors are measured with inductive position sensors and a laser interferometer. The theoretical and experimental results both show that during the process of fast probing, due to the dynamic inertial forces, there are not only large rotation of the elements around the joints connected with air bearings but also large bending of the weak elements themselves. 展开更多
关键词 Coordinate measuring machine dynamic error Laser interferometer Inductive position sensor
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Mirror-assisted multi-view high-speed digital image correlation for dual-surface dynamic deformation measurement 被引量:1
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作者 XIE RuiLi CHEN Bin PAN Bing 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2023年第3期807-820,共14页
Based on the recently proposed mirror-assisted multi-view digital image correlation(MV-DIC),we establish a cost-effective and easy-to-implement mirror-assisted multi-view high-speed digital image correlation(MVHS-DIC)... Based on the recently proposed mirror-assisted multi-view digital image correlation(MV-DIC),we establish a cost-effective and easy-to-implement mirror-assisted multi-view high-speed digital image correlation(MVHS-DIC)method and explore its applications for dual-surface full-field dynamic deformation measurement.In contrast to the general requirement of four expensive high-speed cameras for dual-surface dynamic deformation field measurement,the established mirror-assisted MVHS-DIC halves the cost by involving only two synchronized high-speed cameras and two planar mirrors.The two synchronized high-speed cameras can dynamically measure the front and rear surfaces of a sheet sample simultaneously through the reflection of the two mirrors.The results on the two surfaces are then transformed into the same coordinate system,leading to the required dual-surface 3D dynamical deformation fields.The effectiveness and accuracy of the established system are validated through modal tests of a cantilever aluminum sheet.The vibration measurement of a drum and dual-surface transient deformation measurement of a smartphone in the drop-collision process further prove its practicability.Benefiting from the attractive advantages of multi-view dynamic deformation measurement in a cost-efficient way,the established mirror-assisted MVHS-DIC is expected to encourage more comprehensive dynamic mechanical behavior characterization of regular-sized materials and structures in vibration and impact engineering fields. 展开更多
关键词 multi-view high-speed digital image correlation dual-surface dynamic deformation measurement
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Comparative Analysis of Wavelet Transform for Time-Frequency Analysis and Transient Localization in Structural Health Monitoring 被引量:5
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作者 Ahmed Silik Mohammad Noori +2 位作者 Wael A.Altabey Ramin Ghiasi Zhishen Wu 《Structural Durability & Health Monitoring》 EI 2021年第1期1-22,共22页
A critical problem facing data collection in structural health monitoring,for instance via sensor networks,is how to extract the main components and useful features for damage detection.A structural dynamic measuremen... A critical problem facing data collection in structural health monitoring,for instance via sensor networks,is how to extract the main components and useful features for damage detection.A structural dynamic measurement is more often a complex time-varying process and therefore,is prone to dynamic changes in time-frequency contents.To extract the signal components and capture the useful features associated with damage from such nonstationary signals,a technique that combines the time and frequency analysis and shows the signal evolution in both time and frequency is required.Wavelet analyses have proven to be a viable and effective tool in this regard.Wavelet transform(WT)can analyze different signal components and then comparing the characteristics of each signal with a resolution matched to its scale.However,the challenge is the selection of a proper wavelet since various wavelets with varied properties that are to analyze the same data may result in different results.This article presents a study on how to carry out a comparative analysis based on analytic wavelet scalograms,using structural dynamic acceleration responses,to evaluate the effectiveness of various wavelets for damage detection in civil structures.The scalogram’s informative time-frequency regions are examined to analyze the variation of wavelet coefficients and show how the frequency content of a signal changes over time to detect transient events due to damage.Subsequently,damage-induced changes are tracked with time-frequency representations.Towards this aim,energy distribution and sharing information are investigated.The undamaged and damaged simulated comparative results of a structure reveal that the damaged structure were shifted from the undamaged structure.Also,the Bump wavelet shows the best results than the others. 展开更多
关键词 dynamic measurement wavelet selection continuous wavelet
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Laser self-mixing interferometer for MEMS dynamic measurement 被引量:1
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作者 Zhaoyun ZHANG Yang GAO Wei SU 《Frontiers of Optoelectronics》 EI CSCD 2013年第2期210-215,共6页
Laser self-mixing interferometer has the advantages of simple architecture, compact size, naturally self-aligned optical characteristics, and low cost. It is promising to replace conventional interferometers for physi... Laser self-mixing interferometer has the advantages of simple architecture, compact size, naturally self-aligned optical characteristics, and low cost. It is promising to replace conventional interferometers for physical measurements, such as displacement, distance, velocity, vibration, and so on. In this paper, this interferometer was tried to be used for micro-electro- mechanical system (MEMS) dynamic measurement. Firstly, its measurement principle based on a three-mirror cavity model was presented, and then the laser self-mixing interferometer for MEMS dynamic measurement was designed, experiments were finally performed as target moves with different forms. Experimental results suggest that self-mixing interferometer is available for MEMS dynamic measurement, and may have wider applications in the future. 展开更多
关键词 laser self-mixing interferometer dynamic measurement micro-electro-mechanical system (MEMS)
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New approach for time-resolved and dynamic investigations on nanoparticles agglomeration 被引量:1
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作者 Neda Iranpour Anaraki Amin Sadeghpour +6 位作者 Kamran Iranshahi Claudio Toncelli Urszula Cendrowska Francesco Stellacci Alex Dommann Peter Wick Antonia Neels 《Nano Research》 SCIE EI CAS CSCD 2020年第10期2847-2856,共10页
Nanoparticle (NP) colloidal stability plays a crucial role in biomedical application not only for human and environmental safety but also for NP efficiency and functionality. NP agglomeration is considered as a possib... Nanoparticle (NP) colloidal stability plays a crucial role in biomedical application not only for human and environmental safety but also for NP efficiency and functionality. NP agglomeration is considered as a possible process in monodispersed NP colloidal solutions, which drastically affects colloidal stability. This process is triggered by changes in the physicochemical properties of the surrounding media, such as ionic strength (IS), pH value, or presence of biomolecules. Despite different available characterization methods for nanoparticles (NPs), there is a lack of information about the underlying mechanisms at the early stage of dynamic behaviors, namely changing in NP size distribution and structure while placing them from a stable colloidal solution to a new media like biological fluids. In this study, an advanced in situ approach is presented that combines small angle X-ray scattering (SAXS) and microfluidics, allowing label-free, direct, time-resolved, and dynamic observations of the early stage of NP interaction/agglomeration initiated by environmental changes. It is shown for silica NPs that the presence of protein in the media enormously accelerates the NP agglomeration process compared to respective changes in IS and pH. High IS results in a staring agglomeration process after 40 min, though, in case of protein presence in media, this time decreased enormously to 48 s. These time scales show that this method is sensitive and precise in depicting the dynamics of fast and slow NP interactions in colloidal conditions and therefore supports understanding the colloidal stability of NPs in various media concluding in safe and efficient NP designing for various applications. 展开更多
关键词 microfluidic small-angle X-ray scattering(SAXS) in situ dynamic measurements nanoparticle agglomeration biological environment LABEL-FREE
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The Maximum Principle for One Kind of Stochastic Optimization Problem and Application in Dynamic Measure of Risk 被引量:4
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作者 Shao Lin JI Zhen WU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第12期2189-2204,共16页
The authors get a maximum principle for one kind of stochastic optimization problem motivated by dynamic measure of risk. The dynamic measure of risk to an investor in a financial market can be studied in our framewor... The authors get a maximum principle for one kind of stochastic optimization problem motivated by dynamic measure of risk. The dynamic measure of risk to an investor in a financial market can be studied in our framework where the wealth equation may have nonlinear coefficients. 展开更多
关键词 backward stochastic differential equation perturbation method Ekeland's variational principle dynamic measure of risk
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