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ApproximateGaussian conjugacy: parametric recursive filtering under nonlinearity,multimodality, uncertainty Review

Tian-cheng LI, Jin-ya SU, Wei LIU, Juan M. CORCHADO

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 12,   Pages 1913-1939 doi: 10.1631/FITEE.1700379

Abstract: In particular, specific attention is paid to nonlinear systems with an informative observation, multimodal

Keywords： Kalman filter     Gaussian filter     Time series estimation     Bayesian filtering     Nonlinear filtering     Constrainedfiltering     Gaussian mixture     Maneuver     Unknown inputs    

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Ion beam figuring of continuous phase plates based on the frequency filtering process

Mingjin XU,Yifan DAI,Xuhui XIE,Lin ZHOU,Shengyi LI,Wenqiang PENG

Frontiers of Mechanical Engineering 2017, Volume 12, Issue 1,   Pages 110-115 doi: 10.1007/s11465-017-0430-5

Abstract: This study proposes a multi-pass IBF approach with different beam diameters based on the frequency filteringWe present the selection principle of the frequency filtering method, which incorporates different removalA high-precision surface can be obtained as long as the filtering frequency is suitably selected.

Keywords： beam figuring (IBF)     continuous phase plates (CPPs)     machining accuracy     machining efficiency     frequency filtering    

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Properties of a general quaternion-valued gradient operator and its applications to signal processing

Meng-di Jiang, Yi Li, Wei Liu,w.liu@sheffield.ac.uk

Frontiers of Information Technology & Electronic Engineering 2016, Volume 17, Issue 2,   Pages 83-95 doi: 10.1631/FITEE.1500334

Abstract: To generalize the operator to nonlinear functions, we define a restricted version of the HR operatorUsing the new rules, we derive explicit expressions for the derivatives of a class of regular nonlinearAs an application, the derivation of the least mean square algorithm and a nonlinear adaptive algorithm

Keywords： Quaternion     Gradient operator     Signal processing     Least mean square (LMS) algorithm     Nonlinear adaptivefiltering     Adaptive beamforming    

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Filtering antennas: from innovative concepts to industrial applications Review Articles

Yun-fei CAO, Yao ZHANG, Xiu-yin ZHANG

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 1,   Pages 116-127 doi: 10.1631/FITEE.1900474

Abstract: A filtering antenna is a device with both filtering and radiating capabilities.The filtering antenna designs include single- and dual-polarized filtering patch antennas, a single-polarizedomni-directional filtering dipole antenna, and a dual-polarized filtering dipole antenna for the baseThe filtering antennas in this paper feature an innovative concept of eliminating extra filtering circuitsFor each design, the filtering structure is finely integrated with the radiators or feeding lines.

Keywords： Filtering antenna     Dual-band     Antenna array    

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New nonlinear stiffness actuator with predefined torque‒deflection profile

Frontiers of Mechanical Engineering 2023, Volume 18, Issue 1, doi: 10.1007/s11465-022-0721-3

Abstract: A nonlinear stiffness actuator (NSA) could achieve high torque/force resolution in low stiffness range

Keywords： compliant actuator     nonlinear stiffness actuator     nonlinear spring     predefined torque−deflection profile    

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Mean wind load induced incompatibility in nonlinear aeroelastic simulations of bridge spans

Zhitian ZHANG

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 3,   Pages 605-617 doi: 10.1007/s11709-018-0499-x

Abstract: Mean wind response induced incompatibility and nonlinearity in bridge aerodynamics is discussed, where the mean wind and aeroelastic loads are applied simultaneously in time domain. A kind of incompatibility is found during the simultaneous simulation of the mean wind and aeroelastic loads, which leads to incorrect mean wind structural responses. It is found that the mathematic expectations (or limiting characteristics) of the aeroelastic models are fundamental to this kind of incompatibility. In this paper, two aeroelastic models are presented and discussed, one of indicial-function-denoted (IF-denoted) and another of rational-function-denoted (RF-denoted). It is shown that, in cases of low wind speeds, the IF-denoted model reflects correctly the mean wind load properties, and results in correct mean structural responses; in contrast, the RF-denoted model leads to incorrect mean responses due to its nonphysical mean properties. At very high wind speeds, however, even the IF-denoted model can lead to significant deviation from the correct response due to steady aerodynamic nonlinearity. To solve the incompatibility at high wind speeds, a methodology of subtraction of pseudo-steady effects from the aeroelastic model is put forward in this work. Finally, with the method presented, aeroelastic nonlinearity resulted from the mean wind response is investigated at both moderate and high wind speeds.

Keywords： bridge     aerodynamics     nonlinear     aeroelastic model     Pseudo-steady     mean wind loads    

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General expression for linear and nonlinear time series models

Ren HUANG, Feiyun XU, Ruwen CHEN

Frontiers of Mechanical Engineering 2009, Volume 4, Issue 1,   Pages 15-24 doi: 10.1007/s11465-009-0015-z

Abstract: However, some nonlinear factors are within the practical system; thus, it is difficult to fit the modelThis paper proposes a general expression for linear and nonlinear auto-regressive time series modelsexperiments show that the GNAR model can accurately approximate to the dynamic characteristics of the most nonlinear

Keywords： linear and nonlinear     autoregressive model     system identification     time series analysis    

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Evaluation of transmissibility for a class of nonlinear passive vibration isolators

Z. K. PENG, Z. Q. LANG, G. MENG

Frontiers of Mechanical Engineering 2012, Volume 7, Issue 4,   Pages 401-409 doi: 10.1007/s11465-012-0349-9

Abstract: concept of Output Frequency Response Functions (OFRFs) is applied to represent the transmissibility of nonlinearcharacteristic parameters is derived for a wide class of nonlinear isolators that have nonlinear anti-symmetricdamping characteristics and a comprehensive pattern about how the nonlinear damping characteristic parametersThese conclusions are of significant importance in the analysis and design of the nonlinear vibrationisolators with nonlinear anti-symmetric damping.

Keywords： nonlinear vibration     volterra series     Output Frequency Response Functions (OFRFs)     nonlinear damping     vibration    

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Numerical analysis of nonlinear dynamic behavior of earth dams

Babak EBRAHIMIAN

Frontiers of Structural and Civil Engineering 2011, Volume 5, Issue 1,   Pages 24-40 doi: 10.1007/s11709-010-0082-6

Abstract: The numerical investigation employs a fully nonlinear dynamic finite difference analysis incorporating

Keywords： earth dam     numerical     nonlinear response     dynamic analysis     earthquake     dam height    

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Velocity gradient elasticity for nonlinear vibration of carbon nanotube resonators

Hamid M. SEDIGHI, Hassen M. OUAKAD

Frontiers of Structural and Civil Engineering 2020, Volume 14, Issue 6,   Pages 1520-1530 doi: 10.1007/s11709-020-0672-x

Abstract: this study, for the first time, we investigate the nonlocality superimposed to the size effects on the nonlineara reduced-order model based on the differential quadrature method (DQM) to discretize the governing nonlinearequation of motion and acquire a discretized-parameter nonlinear model of the system.The structural nonlinear behavior of the system assuming both strain and velocity gradient theories is

Keywords： velocity gradient elasticity theory     nanotube resonators     differential-quadrature method     nonlinear vibration    

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Analytical approach to robust design of nonlinear mechanical systems

Jian ZHANG, Nengsheng BAO, Guojun ZHANG, Peihua GU

Frontiers of Mechanical Engineering 2009, Volume 4, Issue 2,   Pages 203-214 doi: 10.1007/s11465-009-0022-0

Abstract: functional requirements, structural characteristics, design parameters and uncontrollable variables of nonlinearFor a nonlinear mechanical system, relationships among structural characteristics of the system, design

Keywords： robust     design     nonlinear    

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A filtering-based bridge weigh-in-motion system on a continuous multi-girder bridge considering the influence

Hanli WU, Hua ZHAO, Jenny LIU, Zhentao HU

Frontiers of Structural and Civil Engineering 2020, Volume 14, Issue 5,   Pages 1232-1246 doi: 10.1007/s11709-020-0653-0

Abstract: A real-time vehicle monitoring is crucial for effective bridge maintenance and traffic management because overloaded vehicles can cause damage to bridges, and in some extreme cases, it will directly lead to a bridge failure. Bridge weigh-in-motion (BWIM) system as a high performance and cost-effective technology has been extensively used to monitor vehicle speed and weight on highways. However, the dynamic effect and data noise may have an adverse impact on the bridge responses during and immediately following the vehicles pass the bridge. The fast Fourier transform (FFT) method, which can significantly purify the collected structural responses (dynamic strains) received from sensors or transducers, was used in axle counting, detection, and axle weighing technology in this study. To further improve the accuracy of the BWIM system, the field-calibrated influence lines (ILs) of a continuous multi-girder bridge were regarded as a reference to identify the vehicle weight based on the modified Moses algorithm and the least squares method. experimental results indicated that the signals treated with FFT filter were far better than the original ones, the efficiency and the accuracy of axle detection were significantly improved by introducing the FFT method to the BWIM system. Moreover, the lateral load distribution effect on bridges should be considered by using the calculated average ILs of the specific lane individually for vehicle weight calculation of this lane.

Keywords： bridge weigh-in-motion     continuous bridge     fast Fourier transform     influence line     axle weight calculation    

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Resampling methods for particle filtering: identical distribution, a new method, and comparable study

Tian-cheng LI,Gabriel VILLARRUBIA,Shu-dong SUN,Juan M. CORCHADO,Javier BAJO

Frontiers of Information Technology & Electronic Engineering 2015, Volume 16, Issue 11,   Pages 969-984 doi: 10.1631/FITEE.1500199

Abstract: Resampling is a critical procedure that is of both theoretical and practical significance for efficient implementation of the particle filter. To gain an insight of the resampling process and the filter, this paper contributes in three further respects as a sequel to the tutorial (Li et al., 2015). First, identical distribution (ID) is established as a general principle for the resampling design, which requires the distribution of particles before and after resampling to be statistically identical. Three consistent metrics including the (symmetrical) Kullback-Leibler divergence, Kolmogorov-Smirnov statistic, and the sampling variance are introduced for assessment of the ID attribute of resampling, and a corresponding, qualitative ID analysis of representative resampling methods is given. Second, a novel resampling scheme that obtains the optimal ID attribute in the sense of minimum sampling variance is proposed. Third, more than a dozen typical resampling methods are compared via simulations in terms of sample size variation, sampling variance, computing speed, and estimation accuracy. These form a more comprehensive understanding of the algorithm, providing solid guidelines for either selection of existing resampling methods or new implementations.

Keywords： Particle filter     Resampling     Kullback-Leibler divergence     Kolmogorov-Smirnov statistic    

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Iterative finite element model of nonlinear viscoplastic analyses for blended granular porous media

WU Yuching, ZHU Cimian

Frontiers of Structural and Civil Engineering 2007, Volume 1, Issue 4,   Pages 464-473 doi: 10.1007/s11709-007-0063-6

Abstract: particle, is generated to analyze the global behavior of multiple-material aggregates of materially nonlinear

Keywords： nonlinear viscoplastic     iterative     behavior     multiple-material    

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Vibration suppression of speed-controlled robots with nonlinear control

Paolo BOSCARIOL,Alessandro GASPARETTO

Frontiers of Mechanical Engineering 2016, Volume 11, Issue 2,   Pages 204-212 doi: 10.1007/s11465-016-0380-3

Abstract:

In this paper, a simple nonlinear control strategy for the simultaneous position tracking and vibration

Keywords： industrial robot     nonlinear control     vibration damping     model-free control     motion control    

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Title Author Date Type Operation

ApproximateGaussian conjugacy: parametric recursive filtering under nonlinearity,multimodality, uncertainty

Tian-cheng LI, Jin-ya SU, Wei LIU, Juan M. CORCHADO

Journal Article

Ion beam figuring of continuous phase plates based on the frequency filtering process

Mingjin XU,Yifan DAI,Xuhui XIE,Lin ZHOU,Shengyi LI,Wenqiang PENG

Journal Article

Properties of a general quaternion-valued gradient operator and its applications to signal processing

Meng-di Jiang, Yi Li, Wei Liu,w.liu@sheffield.ac.uk

Journal Article

Filtering antennas: from innovative concepts to industrial applications

Yun-fei CAO, Yao ZHANG, Xiu-yin ZHANG

Journal Article

New nonlinear stiffness actuator with predefined torque‒deflection profile

Journal Article

Mean wind load induced incompatibility in nonlinear aeroelastic simulations of bridge spans

Zhitian ZHANG

Journal Article

General expression for linear and nonlinear time series models

Ren HUANG, Feiyun XU, Ruwen CHEN

Journal Article

Evaluation of transmissibility for a class of nonlinear passive vibration isolators

Z. K. PENG, Z. Q. LANG, G. MENG

Journal Article

Numerical analysis of nonlinear dynamic behavior of earth dams

Babak EBRAHIMIAN

Journal Article

Velocity gradient elasticity for nonlinear vibration of carbon nanotube resonators

Hamid M. SEDIGHI, Hassen M. OUAKAD

Journal Article

Analytical approach to robust design of nonlinear mechanical systems

Jian ZHANG, Nengsheng BAO, Guojun ZHANG, Peihua GU

Journal Article

A filtering-based bridge weigh-in-motion system on a continuous multi-girder bridge considering the influence

Hanli WU, Hua ZHAO, Jenny LIU, Zhentao HU

Journal Article

Resampling methods for particle filtering: identical distribution, a new method, and comparable study

Tian-cheng LI,Gabriel VILLARRUBIA,Shu-dong SUN,Juan M. CORCHADO,Javier BAJO

Journal Article

Iterative finite element model of nonlinear viscoplastic analyses for blended granular porous media

WU Yuching, ZHU Cimian

Journal Article

Vibration suppression of speed-controlled robots with nonlinear control

Paolo BOSCARIOL,Alessandro GASPARETTO

Journal Article