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Atlantic blocking events in a simplified nonlinear baroclinic model for local finite-amplitude wave activity
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作者 Ning Shi Bamidele Abiodun Paul Wencai Liu 《Atmospheric and Oceanic Science Letters》 CSCD 2024年第4期41-45,共5页
为研究北大西洋阻高的形成机制,本文在局部有限振幅波活动(LWA)框架下进行了一系列数值实验.采用的数值模型能显式地描绘出两种重要的大气内部动力过程,即非线性纬向位涡通量和Rossby波包传播.模拟结果显示,这两种动力学过程均是形成大... 为研究北大西洋阻高的形成机制,本文在局部有限振幅波活动(LWA)框架下进行了一系列数值实验.采用的数值模型能显式地描绘出两种重要的大气内部动力过程,即非线性纬向位涡通量和Rossby波包传播.模拟结果显示,这两种动力学过程均是形成大西洋阻高的重要机理.具体地,非线性纬向位涡通量和Rossby波包传播,分别是大西洋阻高南部和北部LWA形成的主导因子.因此,本研究综合了前人关于大西洋阻高的研究成果,为其形成机理提供了新的认识. 展开更多
关键词 斜压模式 局地有限振幅波活动 罗斯贝波传播 非线性效应
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Output feedback control and parameters influence analysis of active suspension electro-hydraulic servo actuator
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作者 张伟 ZHAO Dingxuan GONG Mingde 《High Technology Letters》 EI CAS 2023年第2期159-165,共7页
The hydraulic servo actuator of heavy vehicle active suspension is investigated to clarify the correlation between system parameters and the control characteristics of active suspension hydraulic servo system.Accordin... The hydraulic servo actuator of heavy vehicle active suspension is investigated to clarify the correlation between system parameters and the control characteristics of active suspension hydraulic servo system.Accordingly, a nonlinear physical model of electro-hydraulic servo active suspension system is built.Compared with the conventional nonlinear modeling, the model in this study considers the asymmetry of working areas caused by single rod hydraulic cylinder in the suspension system.In accordance with the model, a nonlinear output feedback controller based on backstepping is designed, and the effectiveness of the controller is proved based on the experimental platform.The dynamic response curve of the electro-hydraulic servo control system under the change of parameters is generated based on the simulation model.The sensitivity of electro-hydraulic servo control performance to the change of system physical parameters is investigated, and two evaluation indexes are proposed to quantify and compare the effect of all physical parameter changes on position control system.As revealed by the results, the position control characteristics of suspension actuator are more sensitive to the changes of flow gain of the servo valve, system supply oil pressure and effective working areas of cylinder, and the two evaluation indexes are over 10 times higher than other physical parameters. 展开更多
关键词 active suspension nonlinear hydraulic servo actuator output feedback
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Active Disturbance Rejection Control for Uncertain Nonlinear Systems With Sporadic Measurements 被引量:2
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作者 Kanghui He Chaoyang Dong Qing Wang 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2022年第5期893-906,共14页
This paper deals with the problem of active disturbance rejection control(ADRC)design for a class of uncertain nonlinear systems with sporadic measurements.A novel extended state observer(ESO)is designed in a cascade ... This paper deals with the problem of active disturbance rejection control(ADRC)design for a class of uncertain nonlinear systems with sporadic measurements.A novel extended state observer(ESO)is designed in a cascade form consisting of a continuous time estimator,a continuous observation error predictor,and a reset compensator.The proposed ESO estimates not only the system state but also the total uncertainty,which may include the effects of the external perturbation,the parametric uncertainty,and the unknown nonlinear dynamics.Such a reset compensator,whose state is reset to zero whenever a new measurement arrives,is used to calibrate the predictor.Due to the cascade structure,the resulting error dynamics system is presented in a non-hybrid form,and accordingly,analyzed in a general sampled-data system framework.Based on the output of the ESO,a continuous ADRC law is then developed.The convergence of the resulting closed-loop system is proved under given conditions.Two numerical simulations demonstrate the effectiveness of the proposed control method. 展开更多
关键词 active disturbance rejection control(ADRC) extended state observer(ESO) sampled measurements uncertain nonlinear systems
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Nonlinear active control of damaged piezoelectric smart laminated plates and damage detection
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作者 傅衣铭 阮建力 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第4期421-436,共16页
Considering mass and stiffness of piezoelectric layers and damage effects of composite layers, nonlinear dynamic equations of damaged piezoelectric smart laminated plates are derived. The derivation is based on the Ha... Considering mass and stiffness of piezoelectric layers and damage effects of composite layers, nonlinear dynamic equations of damaged piezoelectric smart laminated plates are derived. The derivation is based on the Hamilton's principle, the higher- order shear deformation plate theory, von Karman type geometrically nonlinear straindisplacement relations, and the strain energy equivalence theory. A negative velocity feedback control algorithm coupling the direct and converse piezoelectric effects is used to realize the active control and damage detection with a closed control loop. Simply supported rectangular laminated plates with immovable edges are used in numerical computation. Influence of the piezoelectric layers' location on the vibration control is in- vestigated. In addition, effects of the degree and location of damage on the sensor output voltage are discussed. A method for damage detection is introduced. 展开更多
关键词 piezoelectric smart laminated plates nonlinear vibration damage effect piezoelectric effect active control damaue detection
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Active control for a flexible beam with nonlinear hysteresis and time delay
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作者 Kun Liu Longxiang Chen Guoping Cai 《Theoretical & Applied Mechanics Letters》 CAS 2013年第6期29-34,共6页
A new active control method is presented to attenuate vibrations of a flexible beam with nonlinear hysteresis and time delay. The nonlinear and hysteretic behavior of the system is illustrated by the Bouc-Wen model. B... A new active control method is presented to attenuate vibrations of a flexible beam with nonlinear hysteresis and time delay. The nonlinear and hysteretic behavior of the system is illustrated by the Bouc-Wen model. By specific transformation and augmentation of state parameters, we can convert the motion equation of the system with explicit time delay to the standard state space representation without any explicit time delay. Then the instantaneous optimal control method and Runge-Kutta method in fourth-order are applied to the controller design with time delay. Finally, in order to verify the effectivity of the time-delay controller proposed, numerical simulations are implemented. It is indicated by the simulation results that the control performance will deteriorate if neglect the time delay in process of the controller design and proposed time delay controller works well with both small and large time delay problems. 展开更多
关键词 nonlinear and hysteresis structure active control time delay
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A Hybrid Nonlinear Active Noise Control Method Using Chebyshev Nonlinear Filter
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作者 Bin Chen Shuyue Yu Yan Gao 《Sound & Vibration》 2018年第4期21-27,共7页
Investigations into active noise control(ANC)technique have been conducted with the aim of effective control of the low-frequency noise.In practice,however,the performance of currently available ANC systems degrades d... Investigations into active noise control(ANC)technique have been conducted with the aim of effective control of the low-frequency noise.In practice,however,the performance of currently available ANC systems degrades due to the effects of nonlinearity in the primary and secondary paths,primary noise and louder speaker.This paper proposes a hybrid control structure of nonlinear ANC system to control the non-stationary noise produced by the rotating machinery on the nonlinear primary path.A fast version of ensemble empirical mode decomposition is used to decompose the non-stationary primary noise into intrinsic mode functions,which are expanded using the second-order Chebyshev nonlinear filter and then individually controlled.The convergence of the nonlinear ANC system is also discussed.Simulation results demonstrate that proposed method outperforms the FSLMS and VFXLMS algorithms with respect to noise reduction and convergence rate. 展开更多
关键词 nonlinear active noise control Chebyshev nonlinear filter non-stationary noise ensemble empirical mode decomposition
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Effect of porosity on active damping of geometrically nonlinear vibrations of a functionally graded magneto-electro-elastic plate
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作者 L.Sh Esayas Subhaschandra Kattimani 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2022年第6期891-906,共16页
This paper investigates the effect of porosity on active damping of geometrically nonlinear vibrations(GNLV)of the magneto-electro-elastic(MEE)functionally graded(FG)plates incorporated with active treatment constrict... This paper investigates the effect of porosity on active damping of geometrically nonlinear vibrations(GNLV)of the magneto-electro-elastic(MEE)functionally graded(FG)plates incorporated with active treatment constricted layer damping(ATCLD)patches.The perpendicularly/slanted reinforced 1-3 piezoelectric composite(1-3 PZC)constricting layer.The constricted viscoelastic layer of the ATCLD is modeled in the time-domain using Golla-Hughes-Mc Tavish(GHM)technique.Different types of porosity distribution in the porous magneto-electro-elastic functionally graded PMEE-FG plate graded in the thickness direction.Considering the coupling effects among elasticity,electrical,and magnetic fields,a three-dimensional finite element(FE)model for the smart PMEE-FG plate is obtained by incorporating the theory of layer-wise shear deformation.The geometric nonlinearity adopts the von K arm an principle.The study presents the effects of a variant of a power-law index,porosity index,the material gradation,three types of porosity distribution,boundary conditions,and the piezoelectric fiber’s orientation angle on the control of GNLV of the PMEE-FG plates.The results reveal that the FG substrate layers’porosity significantly impacts the nonlinear behavior and damping performance of the PMEE-FG plates. 展开更多
关键词 nonlinear vibration Magneto-electro-elastic(MEE)plates active treatment constricted layer damping(ATCLD) Porosity distribution Porous functionally graded
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Stability analysis of linear/nonlinear switching active disturbance rejection control based MIMO continuous systems
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作者 WAN Hui QI Xiaohui LI Jie 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2021年第4期956-970,共15页
In this paper,a linear/nonlinear switching active disturbance rejection control(SADRC)based decoupling control approach is proposed to deal with some difficult control problems in a class of multi-input multi-output(M... In this paper,a linear/nonlinear switching active disturbance rejection control(SADRC)based decoupling control approach is proposed to deal with some difficult control problems in a class of multi-input multi-output(MIMO)systems such as multi-variables,disturbances,and coupling,etc.Firstly,the structure and parameter tuning method of SADRC is introduced into this paper.Followed on this,virtual control variables are adopted into the MIMO systems,making the systems decoupled.Then the SADRC controller is designed for every subsystem.After this,a stability analyzed method via the Lyapunov function is proposed for the whole system.Finally,some simulations are presented to demonstrate the anti-disturbance and robustness of SADRC,and results show SADRC has a potential applications in engineering practice. 展开更多
关键词 linear/nonlinear switching active disturbance rejection control(SADRC) multi-input multi-output(MIMO)continuous system decoupling control stability analysis
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SEMI ACTIVE VIBRATION CONTROL BASED ON A VIBRATION ABSORBER WITH ADJUSTABLE CLEARANCE 被引量:1
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作者 胡海岩 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1996年第2期18+12-17,共7页
Presented in this paper is a semi active vibration control strategy based on the vibration absorber with adjustable clearance in elastic component. The control law of the clearance for alleviating the vibration of pr... Presented in this paper is a semi active vibration control strategy based on the vibration absorber with adjustable clearance in elastic component. The control law of the clearance for alleviating the vibration of primary system is derived by means of harmonic balancing technique so that the working frequency of the vibration absorber can trace the frequency variation of the harmonic excitation. The efficacy of the strategy is demonstrated by numerical simulations for attenuating the steady state vibration of a SDOF system and a 2 DOF system, which are under the harmonic excitation with slowly varied frequency in a wide range. 展开更多
关键词 vibration attenuation nonlinear vibration vibration absorber piecewise linear system semi active vibration control
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Nonlinear effect of the structured light profilometry in the phase-shifting method and error correction 被引量:3
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作者 张万祯 陈浙泊 +2 位作者 夏彬峰 林斌 曹向群 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第4期324-329,共6页
Digital structured light (SL) profilometry is increasingly used in three-dimensional (3D) measurement technology. However, the nonlinearity of the off-the-shelf projectors and cameras seriously reduces the measure... Digital structured light (SL) profilometry is increasingly used in three-dimensional (3D) measurement technology. However, the nonlinearity of the off-the-shelf projectors and cameras seriously reduces the measurement accuracy. In this paper, first, we review the nonlinear effects of the projector-camera system in the phase-shifting structured light depth measurement method. We show that high order harmonic wave components lead to phase error in the phase-shifting method. Then a practical method based on frequency domain filtering is proposed for nonlinear error reduction. By using this method, the nonlinear calibration of the SL system is not required. Moreover, both the nonlinear effects of the projector and the camera can be effectively reduced. The simulations and experiments have verified our nonlinear correction method. 展开更多
关键词 structured light profilometry depth measurement phase-shifting algorithm nonlinear effect
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Active Disturbance Rejection Control for a Multiple-Flexible-Link Manipulator 被引量:1
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作者 Yanfang Liu Hong Liu Yao Meng 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2018年第1期18-28,共11页
The control problem of multiple-flexible-link manipulators( MFLMs) is studied in this paper.The dynamic model of MFLM is derived and separated into two-time scale by utilizing the singular perturbation technique. The ... The control problem of multiple-flexible-link manipulators( MFLMs) is studied in this paper.The dynamic model of MFLM is derived and separated into two-time scale by utilizing the singular perturbation technique. The active disturbance rejection control( ADRC) is adopted to the slow subsystem to track a desired trajectory. The proposed ADRC structure preshapes the desired trajectory by utilizing the tracking differentiator,estimates the disturbance and internal states with an extended state observer,and guarantees a robust performance by combining a feedback controller with a feedforward term. Two types of feedback controllers are designed,proportional derivative( PD) controller and nonlinear PD( NPD) controller. For the fast subsystem,a fast stabilizing control is designed according to the standard linear quadratic regulator approach. Simulations are performed to evaluate the proposed control scheme.Results show that,compared with the traditional PD controller,the ADRC structure based control scheme has smaller overshot and shorter settling time,suppresses vibration quickly,and is robust to the maneuver speed. In general,the control scheme utilizing ADRC structure and NPD feedback controller shows better performance. 展开更多
关键词 multiple-flexible-link manipulator ( MFLM) active disturbance REJECTION control (ADRC) nonlinear proportional plus derivative ( NPD) tracking DIFFERENTIATOR ( TD) extended state observer ( ESO)
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Fuzzy robust path tracking strategy of an active pelagic trawl system with coordinated ship and winch regulation 被引量:2
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作者 陈英龙 周华 +1 位作者 赵勇刚 侯交义 《Journal of Central South University》 SCIE EI CAS 2014年第1期167-179,共13页
A fuzzy robust path tracking strategy of an active pelagic trawl system with ship and winch regulation is proposed.First,nonlinear mathematic model of the pelagic trawl system was derived using Lagrange equation and f... A fuzzy robust path tracking strategy of an active pelagic trawl system with ship and winch regulation is proposed.First,nonlinear mathematic model of the pelagic trawl system was derived using Lagrange equation and further simplified as a low order model for the convenience of controller design.Then,an active path tracking strategy of pelagic trawl system was investigated to improve the catching efficiency of the target fish near the sea bottom.By means of the active tracking control,the pelagic trawl net can be positioned dynamically to follow a specified trajectory via the coordinated winch and ship regulation.In addition,considering the system nonlinearities,modeling uncertainties and the unknown exogenous disturbance of the trawl system model,a nonlinear robust H2 /H∞ controller based on Takagi-Sugeno(T-S) fuzzy model was presented,and the simulation comparison with linear robust H2 /H∞ controller and PID method was conducted for the validation of the nonlinear fuzzy robust controller.The nonlinear simulation results show that the average tracking error is 0.4 m for the fuzzy robust H2 /H∞ control and 125.8 m for the vertical and horizontal displacement,respectively,which is much smaller than linear H2 /H∞ controller and the PID controller.The investigation results illustrate that the fuzzy robust controller is effective for the active path tracking control of the pelagic trawl system. 展开更多
关键词 active pelagic trawl system robust H21H∞ path tracking control Takagi-Sugeno (T-S) nonlinear modeling ship andwinch regulation
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Application of ABCD Formalism in Theoretical and Experimental Analysis of Actively Modelocked Fiber Laser 被引量:1
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作者 FENGEn-bo MAXiao-hong 《Semiconductor Photonics and Technology》 CAS 2002年第2期80-85,共6页
Time domain ABCD matrix formalism is a useful model for analyzing the characteristics of actively modelocked fiber laser. Based on this model and given more consideration on the influences of optical fiber dispersion ... Time domain ABCD matrix formalism is a useful model for analyzing the characteristics of actively modelocked fiber laser. Based on this model and given more consideration on the influences of optical fiber dispersion and optical fiber nonlinearity, the laser characteristic of actively modelocked fiber laser is analyzed, and the comparision of the theoretical analysis results with experimental ones is given. 展开更多
关键词 actively modelocked fiber laser ABCD matrix optical fiber dispersion optical fiber nonlinearity
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Impedance Modeling and Stability Analysis of Dual Active Bridge Converter with LC Input Filter 被引量:2
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作者 Fan Feng Xin Zhang +1 位作者 Fanfan Lin Hoay Beng Gooi 《CES Transactions on Electrical Machines and Systems》 2018年第3期289-295,共7页
The dual active bridge(DAB)converter is gaining more and more attention in various applications such as energy storage systems,electric vehicles and smart grids.To improve the quality of the input current,a LC filter ... The dual active bridge(DAB)converter is gaining more and more attention in various applications such as energy storage systems,electric vehicles and smart grids.To improve the quality of the input current,a LC filter is often cascaded at the input side of the DAB converter.However,there are instable problems of this cascaded system due to the impedance interactions of the DAB converter and the LC filter,although the DAB converter is stable at the individual operation mode.To assess the stability of the cascaded system of the DAB converter and the LC filter,the impedance model of the DAB converter is firstly developed based on generalized state-space averaging method.The developed impedance model can be used to accurately predict the stability of the DAB converter with its LC input filter.Based on the stability analysis,the optimum filter parameter design guideline is determined.The impedance model and stability analysis are validated by the simulation and experimental results. 展开更多
关键词 Dual active bridge generalized state-space averaging stability analysis phase-shift modulation
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GA-Based Model Predictive Control of Semi-Active Landing Gear 被引量:3
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作者 WU Dong-su GU Hong-bin LIU Hui 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2007年第1期47-54,共8页
Semi-active landing gear can provide good performance of both landing impact and taxi situation, and has the ability for adapting to various ground conditions and operational conditions. A kind of Nonlinear Model Pred... Semi-active landing gear can provide good performance of both landing impact and taxi situation, and has the ability for adapting to various ground conditions and operational conditions. A kind of Nonlinear Model Predictive Control algorithm (NMPC) for semi-active landing gears is developed in this paper. The NMPC algorithm uses Genetic Algorithm (GA) as the optimization technique and chooses damping performance of landing gear at touch down to be the optimization object. The valve's rate and magnitude limitations are also considered in the controller's design. A simulation model is built for the semi-active landing gear's damping process at touchdown. Drop tests are carried out on an experimental passive landing gear systerm to validate the parameters of the simulation model. The result of numerical simulation shows that the isolation of impact load at touchdown can be significantly improved compared to other control algorithms. The strongly nonlinear dynamics of semi-active landing gear coupled with control valve's rate and magnitude limitations are handled well with the proposed controller. 展开更多
关键词 landing gear semi-active control: nonlinear model predictive control impact load genetic algorithm
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ACTIVE CONTROL OF DYNAM IC RESPONSE OF LARGE DEFLECTION PLATES WITH PIEZO ELECTRIC ACTUATORS USING FINITE ELEMENT METHOD
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作者 高坚新 沈亚鹏 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 1999年第4期197-204,221,共9页
The transientbehaviorofisotropic and hom ogeneousplateshasbeen a subjectofinterest. Thepresentinvestigation isconcerned w ith the largedeflection transientanalysisand controlofplates w ith piezoelectricsensorsand ac... The transientbehaviorofisotropic and hom ogeneousplateshasbeen a subjectofinterest. Thepresentinvestigation isconcerned w ith the largedeflection transientanalysisand controlofplates w ith piezoelectricsensorsand actuatorsunderapplied transverse loads. In this paper, the increm ental finite elem entequationsconsidering thegeom etricnonlinearity ofpiezoelectricsm artstructuresarede- veloped based on TotalLagrange approach by using the virtualvelocity increm entalvariationalprinci- ples. A four-node Mindlin plate elem ent w ith reduced and selective integration is adopted. The re- sulting increm entequationsare solved by using New m ark'sdirectintegration approach. Transientre- sponse ofplatesw ith piezoelectricsensorsand actuators subjected to transverse dynam ic loading isin- vestigated. The active dam ping isintroduced on the platesby coupling a negativevelocity feedback al- gorithm in a closed controlloop. The num ericalresults show thatpiezoelectric actuators can produce significant dam ping and suppress transient vibration effectively. Finally, the effects of the num ber and locations ofthe piezoelectric actuatorson the controlsystem are also investigated. 展开更多
关键词 geom etrically nonlinearity active control finite elem ent
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Active Power Filter Control Using Adaptive Signal Processing Techniques
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作者 S. A. Temerbaev V. P. Dovgun +1 位作者 N. P. Bojarskaja A. F. Sinyagovski 《Energy and Power Engineering》 2013年第4期1115-1119,共5页
In this paper a new Active Power Filter (APF) control method is proposed. Computation of the load harmonic compensation current is performed by the adaptive notch infinite impulse response (IIR) filter. Performance of... In this paper a new Active Power Filter (APF) control method is proposed. Computation of the load harmonic compensation current is performed by the adaptive notch infinite impulse response (IIR) filter. Performance of the proposed scheme has been verified by computer simulation. MATLAB/SIMULINK power system toolbox is used to simulate the proposed system. The simulation results are presented and confirmed the effectiveness of the proposed method. 展开更多
关键词 active Power FILTER nonlinear LOAD HARMONICS
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Broad-Band All-Optical Wavelength Conversion of Differential Phase-Shift Keyed Signal Using an SOA-Based Nonlinear Polarization Switch
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作者 毛雅亚 盛新志 +1 位作者 吴重庆 余贶碌 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第3期44-47,共4页
Broad-band all-optical wavelength conversion of differential phase-shift keyed (DPSK) signal is experimentally demonstrated. This scheme is composed of a one-bit delay interferometer demodulation stage followed by a... Broad-band all-optical wavelength conversion of differential phase-shift keyed (DPSK) signal is experimentally demonstrated. This scheme is composed of a one-bit delay interferometer demodulation stage followed by a semiconductor optical amplifier (SOA) based nonlinear polarization switch. A wavelength converter for the 10 G b/s DPSK signal is presented, which has a wide wavelength range of more than 30 nm. The converted signals experience small power penalties less than 1.4 dB compared with the original signal, at a bit error rate of 10-9. Additionally, the optical spectra, the measured waveforms and the open eye diagrams of the converted signals show a high quality wavelength conversion performance. 展开更多
关键词 SOA for length as is of Broad-Band All-Optical Wavelength Conversion of Differential phase-shift Keyed Signal Using an SOA-Based nonlinear Polarization Switch DPSK
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Semi-active model predictive control for 3rd generation benchmark problem using smart dampers
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作者 颜桂云 孙炳楠 吕艳平 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2007年第3期307-315,共9页
A semi-active strategy for model predictive control (MPC), in which magneto-rheological dampers are used as an actuator, is presented for use in reducing the nonlinear seismic response of high-rise buildings. A mult... A semi-active strategy for model predictive control (MPC), in which magneto-rheological dampers are used as an actuator, is presented for use in reducing the nonlinear seismic response of high-rise buildings. A multi-step predictive model is developed to estimate the seismic performance of high-rise buildings, taking into account of the effects of nonlinearity, time-variability, model mismatching, and disturbances and uncertainty of controlled system parameters by the predicted error feedback in the multi-step predictive model. Based on the predictive model, a Kalman-Bucy observer suitable for semi-active strategy is proposed to estimate the state vector from the acceleration and semi-active control force feedback. The main advantage of the proposed strategy is its inherent stability, simplicity, on-line real-time operation, and the ability to handle nonlinearity, uncertainty, and time-variability properties of structures. Numerical simulation of the nonlinear seismic responses of a controlled 20-story benchmark building is carried out, and the simulation results are compared to those of other control systems. The results show that the developed semi-active strategy can efficiently reduce the nonlinear seismic response of high-rise buildings. 展开更多
关键词 nonlinear seismic response model predictive control semi-active strategy benchmark problem magnetorheological damper
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THE ACTIVATION METHOD FOR DISCRETIZED CONSERVATIVE NONLINEAR STABILITY PROBLEMS WITH MULTIPLE PARAMETER AND STATE VARIABLES
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作者 邓长根 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第10期919-929,共11页
For nonlinear stability problems of discretized conservative systems with multiple parameter variables and multiple state variables, the activation method is put forward, by which activated potential functions and act... For nonlinear stability problems of discretized conservative systems with multiple parameter variables and multiple state variables, the activation method is put forward, by which activated potential functions and activated equilibrium equations are derived. The activation method is the improvement and enhancement of Liapunov-Schmidt method in elastic stability theory. It is more generalized and more normalized than conventional perturbation methods. The activated potential functions may be transformed into normalized catastrophe potential functions. The activated equilibrium equations may be treated as bifurcation equations. The researches in this paper will motivate the combination of elastic stability theory with catastrophe theory and bifurcation theory 展开更多
关键词 multiple parameter variables multiple state variables discretized conservative nonlinear stability activation method asymptotic analyses
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