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Decentralized adaptive fuzzy control of time-delayed interconnected systems with unknown backlash-like hysteresis 被引量:1
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作者 Shen Qikun Zhang Tianping Zhou Caiying 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第6期1235-1242,共8页
The problem of decentralized adaptive fuzzy control for a class of time-delayed interconnected nonlinear systems with unknown backlash-like hystersis is discussed. On the basis of the principle of variable structure c... The problem of decentralized adaptive fuzzy control for a class of time-delayed interconnected nonlinear systems with unknown backlash-like hystersis is discussed. On the basis of the principle of variable structure control (VSC) and by using the fuzzy systems with linear adjustable parameters that are used to approximate plant unknown functions, a novel decentralized adaptive fuzzy control strategy with a supervisory controller is developed. A general method, which is modeled the backlash-like hysteresis, is proposed and removes the assumption that the boundedness of disturbance, and the slope of the backlash-like hystersis are known constants. Furthermore, the interconnection term is supposed to be pth-order polynomial in time-delayed states. In addition, the plant dynamic uncertainty and modeling errors are adaptively compensated by adjusting the parameters and gains on-line for each subsystems. By theoretical analysis, it is shown that the closed-loop fuzzy control systems are globally stable, with tracking error converging to zero. Simulation results demonstrate the effectiveness of the approach. 展开更多
关键词 fuzzy control backlash-like hysteresis decentralized control adaptive control
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Adaptive Asymptotic Tracking Control for Stochastic Nonlinear Systems with Unknown Backlash-Like Hysteresis 被引量:1
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作者 WANG Le SUN Wei WU Yuqiang 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2022年第5期1824-1838,共15页
In this study,an adaptive asymptotic tracking control problem is considered for stochastic nonlinear systems with unknown backlash-like hysteresis.By utilizing backstepping technology and bound estimation approach,an ... In this study,an adaptive asymptotic tracking control problem is considered for stochastic nonlinear systems with unknown backlash-like hysteresis.By utilizing backstepping technology and bound estimation approach,an adaptive asymptotic tracking control scheme is designed,where fuzzy systems are applied to approximate unknown function terms,the effect of hysteresis and stochastic disturbances is compensated appropriately.The proposed scheme ensures that the tracking error can asymptotically converge to zero in probability and all signals of the closed-loop system are bounded almost surely.Finally,the effectiveness of the control scheme is verified by giving a simulation example. 展开更多
关键词 Adaptive fuzzy control asymptotic tracking stochastic nonlinear systems unknown backlash-like hysteresis
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Magnetoresistance hysteresis in the superconducting state of kagome CsV_(3)Sb_(5)
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作者 Tian Le Jinjin Liu +1 位作者 Zhiwei Wang Xiao Lin 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第10期30-34,共5页
The hysteresis of magnetoresistance observed in superconductors is of great interest due to its potential connectionwith unconventional superconductivity.In this study,we perform electrical transport measurements on k... The hysteresis of magnetoresistance observed in superconductors is of great interest due to its potential connectionwith unconventional superconductivity.In this study,we perform electrical transport measurements on kagome superconductorCsV_(3)Sb_(5)nanoflakes and uncover unusual hysteretic behavior of magnetoresistance in the superconducting state.This hysteresis can be induced by applying either a large DC or AC current at temperatures(T)well below the superconductingtransition temperature(T_(c)).As T approaches T_(c),similar weak hysteresis is also detected by applying a smallcurrent.Various scenarios are discussed,with particular focus on the effects of vortex pinning and the presence of timereversal-symmtery-breaking superconducting domains.Our findings support the latter,hinting at chiral superconductivityin kagome superconductors. 展开更多
关键词 hysteresis MAGNETORESISTANCE kagome superconductor chiral superconductor
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Enhanced superelasticity and reversible elastocaloric effect in nano-grained NiTi alloys with low stress hysteresis
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作者 周敏 王维 +2 位作者 苏浩健 胡忠军 李来风 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第5期557-562,共6页
Solid-state cooling technologies have been considered as potential alternatives for vapor compression cooling systems.The search for refrigeration materials displaying a unique combination of pronounced caloric effect... Solid-state cooling technologies have been considered as potential alternatives for vapor compression cooling systems.The search for refrigeration materials displaying a unique combination of pronounced caloric effect,low hysteresis,and high reversibility on phase transformation was very active in recent years.Here,we achieved increase in the elastocaloric reversibility and decrease in the friction dissipation of martensite transformations in the superelastic nano-grained NiTi alloys obtained by cold rolling and annealing treatment,with very low stress hysteresis(6.3 MPa)under a large applied strain(5%).Large adiabatic temperature changes(△T_(max)=16.3 K atε=5%)and moderate COP_(mater)values(maximum COP_(mater)=11.8 atε=2%)were achieved.The present nano-grained NiTi alloys exhibited great potential for applications as a highly efficient elastocaloric material. 展开更多
关键词 elastocaloric effect stress hysteresis SUPERELASTICITY NiTi alloy
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Noncovalent cross-linked engineering hydrogel with low hysteresis and high sensitivity for flexible self-powered electronics
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作者 Hang Yuan Shaowei Han +5 位作者 Jia Wei Songwei Li Peipei Yang Hao-Yang Mi Chuntai Liu Changyu Shen 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2024年第7期136-147,共12页
In this study,the hydrogel network was reinforced by covalent-like hydrogen bonding,and the strong binding ability of boron-nitrogen coordination served as the main driving force.Among them,acrylamide(AM)and 3-acrylam... In this study,the hydrogel network was reinforced by covalent-like hydrogen bonding,and the strong binding ability of boron-nitrogen coordination served as the main driving force.Among them,acrylamide(AM)and 3-acrylamidophenylboronic acid(AAPBA)were the main body,and the numerous hydroxyl groups in the trehalose(Treh)molecule and other polymer groups formed strong hydrogen bonding interactions to improve the mechanical properties of the PAM/PAAPBA/Treh(PAAT)hydrogel and ensured the simplicity of the synthesis process.The hydrogel possessed high strain at break(1239%),stress(64.7 kPa),low hysteresis(100%to 500%strain,corresponding to dissipation energy from 1.37 to 7.80 kJ/m^(3)),and outstanding cycling stability(retained more than 90%of maximum stress after 200 ten-sile cycles).By integrating carbon nanotubes(CNTs)into PAAT hydrogel(PAATC),the PAATC hydrogel with excellent strain response performance was successfully constructed.The PAATC conductive hydro-gel exhibited high sensitivity(gauge factor(GF)=10.58 and sensitivity(S)=0.304 kPa^(-1)),wide strain response range(0.5%-1000%),fast response time(450 ms),and short recovery time(350 ms),excellent fatigue resistance,and strain response stability.Furthermore,the PAATC-based triboelectric nanogener-ator(TENG)displayed outstanding energy harvesting performance,which shows its potential for appli-cation in self-powered electronic devices. 展开更多
关键词 Low hysteresis Covalent-like hydrogen bonding Boron-nitrogen coordination Hydrogel sensor Triboelectric nanogenerator
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A Selective‑Response Hypersensitive Bio‑Inspired Strain Sensor Enabled by Hysteresis Effect and Parallel Through‑Slits Structures
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作者 Qun Wang Zhongwen Yao +8 位作者 Changchao Zhang Honglie Song Hanliang Ding Bo Li Shichao Niu Xinguan Huang Chuanhai Chen Zhiwu Han Luquan Ren 《Nano-Micro Letters》 SCIE EI CAS CSCD 2024年第2期139-153,共15页
Flexible strain sensors are promising in sensing minuscule mechanical signals,and thereby widely used in various advanced fields.However,the effective integration of hypersensitivity and highly selective response into... Flexible strain sensors are promising in sensing minuscule mechanical signals,and thereby widely used in various advanced fields.However,the effective integration of hypersensitivity and highly selective response into one flexible strain sensor remains a huge challenge.Herein,inspired by the hysteresis strategy of the scorpion slit receptor,a bio-inspired flexible strain sensor(BFSS)with parallel through-slit arrays is designed and fabricated.Specifically,BFSS consists of conductive monolayer graphene and viscoelastic styrene–isoprene–styrene block copolymer.Under the synergistic effect of the bio-inspired slit structures and flexible viscoelastic materials,BFSS can achieve both hypersensitivity and highly selective frequency response.Remarkably,the BFSS exhibits a high gage factor of 657.36,and a precise identification of vibration frequencies at a resolution of 0.2 Hz through undergoing different morphological changes to high-frequency vibration and low-frequency vibration.Moreover,the BFSS possesses a wide frequency detection range(103 Hz)and stable durability(1000 cycles).It can sense and recognize vibration signals with different characteristics,including the frequency,amplitude,and waveform.This work,which turns the hysteresis effect into a"treasure,"can provide new design ideas for sensors for potential applications including human–computer interaction and health monitoring of mechanical equipment. 展开更多
关键词 Bio-inspired strain sensors hysteresis effect HYPERSENSITIVITY Selective frequency response Health monitoring applications
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A Hybrid Compensation Scheme for the Input Rate-Dependent Hysteresis of the Piezoelectric Ceramic Actuators
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作者 DONG Ruili TAN Yonghong +1 位作者 HOU Jiajia ZHENG Bangsheng 《Journal of Donghua University(English Edition)》 CAS 2024年第4期436-446,共11页
A hybrid compensation scheme for piezoelectric ceramic actuators(PEAs)is proposed.In the hybrid compensation scheme,the input rate-dependent hysteresis characteristics of the PEAs are compensated.The feedforward contr... A hybrid compensation scheme for piezoelectric ceramic actuators(PEAs)is proposed.In the hybrid compensation scheme,the input rate-dependent hysteresis characteristics of the PEAs are compensated.The feedforward controller is a novel input rate-dependent neural network hysteresis inverse model,while the feedback controller is a proportion integration differentiation(PID)controller.In the proposed inverse model,an input ratedependent auxiliary inverse operator(RAIO)and output of the hysteresis construct the expanded input space(EIS)of the inverse model which transforms the hysteresis inverse with multi-valued mapping into single-valued mapping,and the wiping-out,rate-dependent and continuous properties of the RAIO are analyzed in theories.Based on the EIS method,a hysteresis neural network inverse model,namely the dynamic back propagation neural network(DBPNN)model,is established.Moreover,a hybrid compensation scheme for the PEAs is designed to compensate for the hysteresis.Finally,the proposed method,the conventional PID controller and the hybrid controller with the modified input rate-dependent Prandtl-Ishlinskii(MRPI)model are all applied in the experimental platform.Experimental results show that the proposed method has obvious superiorities in the performance of the system. 展开更多
关键词 hybrid control input rate-dependent hysteresis inverse model neural network piezoelectric ceramic actuator
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Reducing voltage hysteresis of metal oxide anodes to achieve high energy efficiency for Li-ion batteries 被引量:1
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作者 Xuexia Lan Xingyu Xiong +1 位作者 Jie Cui Renzong Hu 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2023年第8期433-444,I0011,共13页
In the past two decades,a lot of high-capacity conversion-type metal oxides have been intensively studied as alternative anode materials for Li-ion batteries with higher energy density.Unfortunately,their large voltag... In the past two decades,a lot of high-capacity conversion-type metal oxides have been intensively studied as alternative anode materials for Li-ion batteries with higher energy density.Unfortunately,their large voltage hysteresis(0.8-1.2 V) within reversed conversion reactions results in huge round-trip inefficiencies and thus lower energy efficiency(50%-75%) in full cells than those with graphite anodes.This remains a long-term open question and has been the most serious drawback toward application of metal oxide anodes.Here we clarify the origins of voltage hysteresis in the typical SnO2anode and propose a universal strategy to minimize it.With the established in situ phosphating to generate metal phosphates during reversed conversion reactions in synergy with boosted reaction kinetics by the added P and Mo,the huge voltage hysteresis of 0.9 V in SnO_(2),SnO_(2)-Mo,and 0.6 V in SnO2-P anodes is minimized to 0.3 V in a ternary SnO_(2)-Mo-P(SOMP) composite,along with stable high capacity of 936 mA h g^(-1)after 800 cycles.The small voltage hysteresis can remain stable even the SOMP anode operated at high current rate of10 A g^(-1)and wide-range temperatures from 60 to 30℃,resulting in a high energy efficiency of88.5% in full cells.This effective strategy to minimize voltage hysteresis has also been demonstrated in Fe2O3,Co3O4-basded conversion-type anodes.This work provides important guidance to advance the high-capacity metal oxide anodes from laboratory to industrialization. 展开更多
关键词 Conversion reaction Voltage hysteresis Energy efficiency PHOSPHATING
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Hysteresis loss free soft magnetic ferrites based on Larmor precession
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作者 冯双久 赵幸丽 +3 位作者 朱守金 吕庆荣 阚绪材 刘先松 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第8期433-438,共6页
A big enough transverse magnetic field applied to soft magnetic ferrite toroid can magnetize the ferrite to a saturation level in transverse direction and almost completely suppresses magnetic domain structures in the... A big enough transverse magnetic field applied to soft magnetic ferrite toroid can magnetize the ferrite to a saturation level in transverse direction and almost completely suppresses magnetic domain structures in the ferrite,the response to the longitudinal alternating electromagnetic field changes from the original domain wall displacements and spin rotations to the precession of magnetization around the transverse field,and the hysteresis loss disappears in the ferrites.Both theoretical and experimental results indicate that the permeability and magnetic loss in the ferrite can be controlled by adjusting the transverse magnetic field.A higher Q value with relatively low permeability can be achieved by increasing the transverse field,which ensures that the ferrite can be operated at high frequencies,with magnetic loss being very low. 展开更多
关键词 ferrites Larmor precession magnetic losses hysteresis loss free
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A precision-drive hysteresis model with an equal-density weight function for GMA feedforward compensation
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作者 Kun Xiao Zhiwen Wang +3 位作者 Hongyuan Wang Jie Sun Yelong Zheng Yinguo Huang 《Nanotechnology and Precision Engineering》 EI CAS CSCD 2023年第2期13-24,共12页
Giant magnetostrictive actuators(GMAs) are a widely used type of micro-nano actuator, and they are greatly significant in the field of precision engineering. The accuracy of a GMA often depends on its hysteresis model... Giant magnetostrictive actuators(GMAs) are a widely used type of micro-nano actuator, and they are greatly significant in the field of precision engineering. The accuracy of a GMA often depends on its hysteresis model. However, existing models have some limitations,including the difficulty of identifying their parameters and the tradeoff between the quantity of modeling data required and the level of precision achieved. To solve these problems, in this paper, we propose a Preisach inverse model based on equal-density segmentation of the weight function(E-Preisach). The weight function used to calculate the displacement is first discretized. Then, to obtain a finer weight distribution, the discretized geometric units are uniformly divided by area. This can further minimize the output displacement span, and it produces a higher-precision hysteresis model. The process of parameter identification is made easier by this approach, which also resolves the difficulty of obtaining high precision using a small amount of modeling data. The Preisach and the E-Preisach inverse models were investigated and compared using experiments. At frequencies of 1 and 5 Hz, it was found that the E-Preisach inverse model decreases the maximum error of the feedforward compensation open-loop control to within 1 μm and decreases the root-mean-square error in displacement to within0.5 μm without the need to increase the number of measured hysteresis loops. As a result, the E-Preisach inverse model streamlines the structure of the model and requires fewer parameters for modeling. This provides a high-precision modeling method using a small amount of modeling data;it will have applications in precision engineering fields such as active vibration damping and ultra-precision machining. 展开更多
关键词 Micro-nano actuator GMA hysteresis model Preisach model
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Supreme Theory of Everything: The Fundamental Forces in Quantum Hysteresis
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作者 Tardad Ulaanbaatar 《Journal of Applied Mathematics and Physics》 2023年第10期3274-3285,共12页
Gravity is considered one of the most mysterious of the four fundamental forces, a well-studied but poorly understood phenomenon in science. Newtonian physics and General Relativity have studied it from outside. Based... Gravity is considered one of the most mysterious of the four fundamental forces, a well-studied but poorly understood phenomenon in science. Newtonian physics and General Relativity have studied it from outside. Based on fundamental forces the Grand Unified Theory (GUT) and the Standard Model (SM) of Particle Physics study from the inside. GUT and SM explain three fundamental forces that govern the universe: electromagnetism, the strong force, and the weak force. The fourth fundamental force hopes that must be gravity, which the SM cannot adequately explain. The research aims to explain fundamental forces and their interactions based on the hysteresis law. The hysteresis law studies the fundamental forces from both inside and outside, so, I hope it can explain the rules and principles of the universe from the microworld to the macroscopic world. The united force of the three fundamental forces in high energy singularity (vertical asymptote) of the hysteresis becomes the weakest like weak interaction and continuously like strong force but has an infinite range like electromagnetic interaction. In this sense, it may be called gravity. Unfortunately, gravity is not an individual force;it is the positive singularity or high energy asymptotic sum of three fundamental forces emerging from the depth of the hysteresis of the subatomic particles. 展开更多
关键词 The Fundamental Forces Alternative Fermi-Dirac Distribution The Vertical Asymptote of hysteresis GRAVITY
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Modulating J-V hysteresis of planar perovskite solar cells and mini-modules via work function engineering
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作者 Zenghua Wang Bing Cai +2 位作者 Deyu Xin Min Zhang Xiaojia Zheng 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2023年第10期19-29,I0003,共12页
Commercialization of perovskite solar cells(PSCs) requires the development of high-efficiency devices with none current density-voltage(J-V) hysteresis. Here, electron transport layers(ETLs) with gradual change in wor... Commercialization of perovskite solar cells(PSCs) requires the development of high-efficiency devices with none current density-voltage(J-V) hysteresis. Here, electron transport layers(ETLs) with gradual change in work function(WF) are successfully fabricated and employed as an ideal model to investigate the energy barriers, charge transfer and recombination kinetics at ETL/perovskite interface. The energy barrier for electron injection existing at ETL/perovskite is directly assessed by surface photovoltage microscopy, and the results demonstrate the tunable barriers have significant impact on the J-V hysteresis and performance of PSCs. By work function engineering of ETL, PSCs exhibit PCEs over 21% with negligible hysteresis. These results provide a critical understanding of the origin reason for hysteresis effect in planar PSCs, and clear reveal that the J-V hysteresis can be effectively suppressed by carefully tuning the interface features in PSCs. By extending this strategy to a modified formamidinium-cesium-rubidium(FA-Cs-Rb) perovskite system, the PCEs are further boosted to 24.18%. Moreover, 5 cm × 5 cm perovskite mini-modules are also fabricated with an impressive efficiency of 20.07%, demonstrating compatibility and effectiveness of our strategy on upscaled devices. 展开更多
关键词 J-V hysteresis Work function Planar perovskite solar cells Energy barriers Charge transfer kinetics Perovskite solar modules
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RELIABLE HYSTERESIS CURRENT CONTROLLED DUAL BUCK HALF BRIDGE INVERTER 被引量:6
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作者 刘军 严仰光 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2003年第1期67-72,共6页
A highly efficient and re liable topology-dual buck half bridge inverter (DBI) is introduced. The existenc e of discontinuous conduction mode (DCM) operation state requires the bias of in du ctor current for DBI imple... A highly efficient and re liable topology-dual buck half bridge inverter (DBI) is introduced. The existenc e of discontinuous conduction mode (DCM) operation state requires the bias of in du ctor current for DBI implemented with linear controllers like ramp comparison SP WM (RCSPWM) controllers. A novel operation scheme for DBI and a hysteresis curre nt controlled dual buck half bridge inverter (HCDBI) are proposed. The bias curr ent required by RCSPWM DBI is eliminated and conduction losses are dramatically reduced. HCDBI has greatly improved the modulation performance in DCM region for the benefit of its excellent command tracking capability. The operational schem e and control strategy are presented. Power losses of the conventional half brid ge inverter (CHBI) and HCDBI are compared with mathematical computation, and exp erimental verification is also executed. Both calculational and experimental res ults verify that HCDBI has a superior switching performance over CHBI. Its exce llent high frequency operational capacity provides another access to realize high fre quency operation of inverters. 展开更多
关键词 high frequency switch ing INVERTERS hysteresis current control half bridge
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一类微分项中含Hysteresis的抛物型方程 被引量:2
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作者 徐龙封 《应用数学》 CSCD 2000年第2期17-21,共5页
本文通过引入导出算子分离 Hysteresis与微分 ,证明了一个微分项中含Hysteresis的抛物型方程古典解的存在唯一性 .
关键词 hysteresis算子 导出算子 抛物型方程 微分项
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EFFECT OF FIBER FAILURE ON QUASI-STATIC UNLOADING/RELOADING HYSTERESIS LOOPS OF CERAMIC MATRIX COMPOSITES 被引量:1
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作者 李龙彪 宋迎东 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2011年第1期94-102,共9页
The two-parameter Weibull model is used to describe the fiber strength distribution.The stress carried by the intact and fracture fibers on the matrix crack plane during unloading/reloading is determined based on the ... The two-parameter Weibull model is used to describe the fiber strength distribution.The stress carried by the intact and fracture fibers on the matrix crack plane during unloading/reloading is determined based on the global load sharing criterion.The axial stress distribution of intact fibers upon unloading and reloading is determined based on the mechanisms of fiber sliding relative to matrix in the interface debonded region.The interface debonded length,unloading interface counter slip length,and reloading interface new slip length are obtained by the fracture mechanics approach.The hysteresis loops corresponding to different stresses considering fiber failure are compared with the cases without considering fiber failure.The effects of fiber characteristic strength and fiber Weibull modulus on the fiber failure,the shape,and the area of the hysteresis loops are analyzed.The predicted quasi-static unloading/reloading hysteresis loops agree well with experimental data. 展开更多
关键词 ceramic matrix composites hysteresis loops matrix cracking interface debonding fiber failure
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运动心电图试验ST/HR滞后(Hysteresis)与冠心病之间关系的研究 被引量:3
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作者 安丽萍 林淑娟 +2 位作者 孔一慧 李晓岚 王丽 《中国急救医学》 CAS CSCD 北大核心 1999年第12期723-724,共2页
目的 探讨平板心电图运动试验ST/HR滞后与冠心病之间的关系及临床意义。方法 对可疑冠心病的136例患者在1周之内分别进行了平板运动试验和冠状动脉造影检查,并计算出心电图运动试验ST/HR滞后最大值。结果 136例患者,传统的ST段压低标... 目的 探讨平板心电图运动试验ST/HR滞后与冠心病之间的关系及临床意义。方法 对可疑冠心病的136例患者在1周之内分别进行了平板运动试验和冠状动脉造影检查,并计算出心电图运动试验ST/HR滞后最大值。结果 136例患者,传统的ST段压低标准,阳性者86例,可疑阳性21例,其中真阳性78例;ST/HR滞后标准,阳性者83例,真阳性75例。传统的ST段压低标准与ST/HR滞后标准诊断冠心病的敏感性、特异性、准确性分别为714%、862%、758%和903%、868%、890%。结论 平板心电图运动试验ST/HR滞后标准能明显的改进心电图运动试验对冠心病的诊断作用,是检测心肌缺血有价值的指标。 展开更多
关键词 运动试验 ST/HR滞后 冠心病 心电图
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一个主部含Hysteresis的抛物型方程 被引量:1
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作者 徐龙封 《江苏师范大学学报(自然科学版)》 CAS 1995年第4期5-10,共6页
引入导出算子分离Hysteresis与微分,证明了一个主部含Hysteresis的抛物型方程古典解的存在唯一性。
关键词 hysteresis算子 导出算子 抛物型方程
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一个具Hysteresis的电报方程(英文)
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作者 徐龙封 薛亮 《吉首大学学报(自然科学版)》 CAS 2013年第5期6-10,36,共6页
讨论一个具Hysteresis的电报方程.首先给出Ishlinskiǐhysteresis算子的一些性质,然后得到这个方程C1+α,α强解存在性.
关键词 Ishlinskiǐhysteresis算子 电报方程 单调算子 强解
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一个具Hysteresis的拟线性抛物方程
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作者 徐龙封 《安徽工业大学学报(自然科学版)》 CAS 2007年第1期106-109,126,共5页
讨论一个具Hysteresis的电报方程。首先给出了Ishlinskiǐ hysteresis算子的一些性质,然后得到了这个方程C1+α,α强解存在性。
关键词 Ishlinskiǐ hysteresis算子 电报方程 单调算子 强解
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两个具有Hysteresis的发展方程(英文)
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作者 徐龙封 《郑州大学学报(理学版)》 CAS 2003年第4期7-13,共7页
研究如下两个具有Hysteresis的发展方程 :utt-Δu +F(u) =f,ut- (F(ux) ) x=f.通过引进Hysteresis算子的逆 ,证明了第一个方程一维初值问题古典解和多维初边值问题强解的存在惟一性以及第二个方程一维初边值问题光滑强解的存在性 .
关键词 双曲方程 抛物方程 hysteresis算子 不动点定理 严格单调 初边值问题
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