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THE EQUIVALENT CIRCUIT AND CONTROL SYSTEM OF TRAVELLING WAVE TYPE ULTRASONIC MOTOR
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作者 夏长亮 史婷娜 +1 位作者 薛向党 刘承榆 《Transactions of Tianjin University》 EI CAS 1997年第2期23-27,共5页
The ultrasonic motor is a sort of new type of micromotor with special structure. By use of piezoelectric converse effect of ceramics, the electrical energy is transformed into mechanical energy. Its operating principl... The ultrasonic motor is a sort of new type of micromotor with special structure. By use of piezoelectric converse effect of ceramics, the electrical energy is transformed into mechanical energy. Its operating principle is quite different from that of the traditional motors. In this paper the equivalent circuits of the ring stator and even the whole motor are proposed after studying the equivalent circuit of piezoelectric vibrator. Then the paper makes detailed analyses of each part of the control system, which has been simplified by the equivalent circuit. The theory in this paper has been proved through experiments. 展开更多
关键词 travelling wave type ultrasonic motor equivalent circuit control system
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Solution of Travelling Wave for Nonlinear Disturbed Long-Wave System 被引量:33
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作者 MO Jia-Qi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第3期387-390,共4页
The approximate expressions of the travelling wave solutions for a class of nonlinear disturbed long-wave system are constructed using the generalized variational iteration method.
关键词 nonlinear long-wave equation travelling wave approximate analytic solution
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Finite Travelling Wave Solutions for a Semilinear System of Parabolic Type
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作者 王术 李万同 叶其孝 《Journal of Beijing Institute of Technology》 EI CAS 1993年第2期117-126,共10页
Aict f Finjte rmvedrig wave (M) so1uhons fOr the fOllowhg sechear syttem (I){u_t-u_(xx)+u^mv^p=0 u_t-v_(xx)+u^q=0 -∞<x<+∞,t>0,p,q>0,m≥0 are studied. SolutiOns to (I) of the fOrm u (x, t)=lt(ct--x), v(... Aict f Finjte rmvedrig wave (M) so1uhons fOr the fOllowhg sechear syttem (I){u_t-u_(xx)+u^mv^p=0 u_t-v_(xx)+u^q=0 -∞<x<+∞,t>0,p,q>0,m≥0 are studied. SolutiOns to (I) of the fOrm u (x, t)=lt(ct--x), v(x, t)=v (cl--X) are called W soIutiOns if there exjstS a fwite ', such that u({)=v(j)=0 for t<{,':=ct--x. It is proVed that if Pq+nl<l, fOr any ed c thele erktS an FTW that is inhque up to phase transIahons and Is unbOunded, whena no rm ekist if pq+m> l. The asmpptohc weve profileS near the front as well as far from it are also determined. If I)q^m = l. the exjstence of travebe wave soluhons to (I) is proved. The plnof in Esqniruis's paper(1990) for the one m=0 co be sdriplified by using the methOd develOped in thjs paper. 展开更多
关键词 parabolic equations travelling wave / fronts asymptotic behavior
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Launching and Travelling Dynamic Analysis of Rocket Launcher System ──The Study of a Unified Model
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作者 王春峰 宋廷伦 《Journal of Beijing Institute of Technology》 EI CAS 1995年第2期221+215-221,共8页
A unified model which is used to study the launching and travelling dynamic properties of a rlcket/launcher system is established. In this model, the rocket, the launcher,and the launching vehicle are considered as a... A unified model which is used to study the launching and travelling dynamic properties of a rlcket/launcher system is established. In this model, the rocket, the launcher,and the launching vehicle are considered as an interacting dynamic system in order to study the dynamic interaction between the various parts of the system and the optimal parameter matching among the above mentioned parts. The following random factors are taken into account in this paper. road surface excitation. rocket mass center misalignment, thrust misalignment, dynamic of the rocket, and the cross wind. Based on this unified model, a computer simulation software is developed, some simulation work has been carried out, and certain beneficial results have been achieved. 展开更多
关键词 simulation dispersion analysis/travelling vibration multiple rocket
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TRAVELLING WAVEFRONTS IN DELAYED COOPERATIVE AND DIFFUSIVE SYSTEMS WITH NON-LOCAL EFFECTS 被引量:1
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作者 Huang Jianhua Huang Lihong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2005年第3期363-375,共13页
In this paper, traveling wavefront solutions are established for two cooperative systems with time delay and non-local effects. The results are an extension of the existing results for delayed logistic scale equations... In this paper, traveling wavefront solutions are established for two cooperative systems with time delay and non-local effects. The results are an extension of the existing results for delayed logistic scale equations and diffusive Nicholson equations with non-local effects to systems. The approach used is the upper-lower solution technique and Schauder fixed point Theorem developed by Ma(J Differential Equations,2001,171:294-314. ). 展开更多
关键词 traveling wavefront non-quasimonotone upper solution lower solution non-local effect.
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TRAVELLING FRONT SOLUTION FOR A CLASS OF COMPETITION-DIFFUSION SYSTEM WITH HIGH-ORDER SINGULAR POINT
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作者 WangShu XieChunhong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1999年第3期321-328,共8页
In thispaper,theexistence oftravelling frontsolution fora classofcom petition-diffu- sion system w ith high-order singular point w it = diw ixx - w αii fi(w ),x ∈R,t> 0,i= 1,2 (Ⅰ) is studied,w here di,αi>... In thispaper,theexistence oftravelling frontsolution fora classofcom petition-diffu- sion system w ith high-order singular point w it = diw ixx - w αii fi(w ),x ∈R,t> 0,i= 1,2 (Ⅰ) is studied,w here di,αi> 0 (i= 1,2) and w = (w 1(x,t),w 2(x,t)).Under the certain assum ptions on f,itis show ed thatifαi< 1 for som e i,then (Ⅰ) has no travelling frontsolution,ifαi≥1 for i= 1,2,then there isa c0,c:c0≥c> 0,w herecis called the m inim alwavespeed of(Ⅰ),such thatifc≥c0 orc= c,then (Ⅰ) has a travelling frontsolution,ifc< c,then (Ⅰ) hasno travel- ling frontsolution by using the shooting m ethod in com bination w ith a com pactness argum ent. 展开更多
关键词 travelling frontsolution com petition-diffusion system high order singular point SHOOTING method com pactness argum ent
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BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS FOR A COUPLED NONLINEAR WAVE SYSTEM
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作者 张骥骧 李继彬 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第7期838-847,共10页
By using the bifurcation theory of dynamical systems to the coupled nonlinear wave equations, the existence and stability of periodic wave solutions by Hopf bifurcations are obtained. Theory of travelling wave was app... By using the bifurcation theory of dynamical systems to the coupled nonlinear wave equations, the existence and stability of periodic wave solutions by Hopf bifurcations are obtained. Theory of travelling wave was applied to transform a kind of coupled nonlinear wave equations into three-dimension dynamical systems. Under different parametric conditions, various sufficient conditions to guarantee the existence and stability of the above solutions are given. 展开更多
关键词 travelling wave solution Hopf bifurcation nonlinear wave equation
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Application of Fault Location Mode Based on Travelling Waves for Neutral Non-effective Grounding Systems
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作者 Tao Ji Qian-qian Yuan +2 位作者 Chang-ming Li Ying Sun (Scientific Research Office Weifang University Weifang,China College of Information and Electrical EngineeringShandong University of Science and Technology Qingdao,China) 《Journal of Measurement Science and Instrumentation》 CAS 2010年第S1期133-138,共6页
Fault location for distribution feeders short circuit especially single-phase grounding fault is an important task in distribution system with non-effectively grounded neutral.Fault location mode for distribution feed... Fault location for distribution feeders short circuit especially single-phase grounding fault is an important task in distribution system with non-effectively grounded neutral.Fault location mode for distribution feeders using fault generated current and voltage transient traveling waves was investigated.The characteristics of transient traveling waves resulted from each short circuit fault and their transmission disciplinarian in distribution feeders are analyzed.This paper proposed that double end travelling waves theory which measures arriving time of fault initiated surge at both ends of the monitored line is fit for distribution feeders but single end traveling waves theory not.According to different distribution feeders,on the basis of analyzing original traveling waves reflection rule in line terminal, Current-voltage mode,voltage-voltage mode and current-current mode for fault location based on traveling waves are proposed and aerial mode component of original traveling waves is used to realize fault location.Experimental test verify the feasibility and correctness of the proposed method. 展开更多
关键词 distribution feeders neutral non-effective grounding traveling waves fault locationmode
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Appropriate Combination of Crossover Operator and Mutation Operator in Genetic Algorithms for the Travelling Salesman Problem
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作者 Zakir Hussain Ahmed Habibollah Haron Abdullah Al-Tameem 《Computers, Materials & Continua》 SCIE EI 2024年第5期2399-2425,共27页
Genetic algorithms(GAs)are very good metaheuristic algorithms that are suitable for solving NP-hard combinatorial optimization problems.AsimpleGAbeginswith a set of solutions represented by a population of chromosomes... Genetic algorithms(GAs)are very good metaheuristic algorithms that are suitable for solving NP-hard combinatorial optimization problems.AsimpleGAbeginswith a set of solutions represented by a population of chromosomes and then uses the idea of survival of the fittest in the selection process to select some fitter chromosomes.It uses a crossover operator to create better offspring chromosomes and thus,converges the population.Also,it uses a mutation operator to explore the unexplored areas by the crossover operator,and thus,diversifies the GA search space.A combination of crossover and mutation operators makes the GA search strong enough to reach the optimal solution.However,appropriate selection and combination of crossover operator and mutation operator can lead to a very good GA for solving an optimization problem.In this present paper,we aim to study the benchmark traveling salesman problem(TSP).We developed several genetic algorithms using seven crossover operators and six mutation operators for the TSP and then compared them to some benchmark TSPLIB instances.The experimental studies show the effectiveness of the combination of a comprehensive sequential constructive crossover operator and insertion mutation operator for the problem.The GA using the comprehensive sequential constructive crossover with insertion mutation could find average solutions whose average percentage of excesses from the best-known solutions are between 0.22 and 14.94 for our experimented problem instances. 展开更多
关键词 travelling salesman problem genetic algorithms crossover operator mutation operator comprehensive sequential constructive crossover insertion mutation
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A Novel Insertion Solution for the Travelling Salesman Problem
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作者 Emmanuel Oluwatobi Asani Aderemi Elisha Okeyinka +5 位作者 Sunday Adeola Ajagbe Ayodele Ariyo Adebiyi Roseline Oluwaseun Ogundokun Temitope Samson Adekunle Pragasen Mudali Matthew Olusegun Adigun 《Computers, Materials & Continua》 SCIE EI 2024年第4期1581-1597,共17页
The studypresents theHalfMax InsertionHeuristic (HMIH) as a novel approach to solving theTravelling SalesmanProblem (TSP). The goal is to outperform existing techniques such as the Farthest Insertion Heuristic (FIH) a... The studypresents theHalfMax InsertionHeuristic (HMIH) as a novel approach to solving theTravelling SalesmanProblem (TSP). The goal is to outperform existing techniques such as the Farthest Insertion Heuristic (FIH) andNearest Neighbour Heuristic (NNH). The paper discusses the limitations of current construction tour heuristics,focusing particularly on the significant margin of error in FIH. It then proposes HMIH as an alternative thatminimizes the increase in tour distance and includes more nodes. HMIH improves tour quality by starting withan initial tour consisting of a ‘minimum’ polygon and iteratively adding nodes using our novel Half Max routine.The paper thoroughly examines and compares HMIH with FIH and NNH via rigorous testing on standard TSPbenchmarks. The results indicate that HMIH consistently delivers superior performance, particularly with respectto tour cost and computational efficiency. HMIH’s tours were sometimes 16% shorter than those generated by FIHand NNH, showcasing its potential and value as a novel benchmark for TSP solutions. The study used statisticalmethods, including Friedman’s Non-parametric Test, to validate the performance of HMIH over FIH and NNH.This guarantees that the identified advantages are statistically significant and consistent in various situations. Thiscomprehensive analysis emphasizes the reliability and efficiency of the heuristic, making a compelling case for itsuse in solving TSP issues. The research shows that, in general, HMIH fared better than FIH in all cases studied,except for a few instances (pr439, eil51, and eil101) where FIH either performed equally or slightly better thanHMIH. HMIH’s efficiency is shown by its improvements in error percentage (δ) and goodness values (g) comparedto FIH and NNH. In the att48 instance, HMIH had an error rate of 6.3%, whereas FIH had 14.6% and NNH had20.9%, indicating that HMIH was closer to the optimal solution. HMIH consistently showed superior performanceacross many benchmarks, with lower percentage error and higher goodness values, suggesting a closer match tothe optimal tour costs. This study substantially contributes to combinatorial optimization by enhancing currentinsertion algorithms and presenting a more efficient solution for the Travelling Salesman Problem. It also createsnew possibilities for progress in heuristic design and optimization methodologies. 展开更多
关键词 Nearest neighbour heuristic farthest insertion heuristic half max insertion heuristic tour construction travelling salesman problem
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Drone systems for delivering defibrillators for sudden cardiac arrests
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作者 Thirumurugan E Edwin Dias Karthick R 《Journal of Acute Disease》 2024年第1期1-2,共2页
Unmanned aerial vehicles(UAVs),or drones,that were initially developed for military use during World War I[1],have evolved into highly sophisticated aircraft that can be navigated remotely using global positioning sys... Unmanned aerial vehicles(UAVs),or drones,that were initially developed for military use during World War I[1],have evolved into highly sophisticated aircraft that can be navigated remotely using global positioning systems.With constant improvements,drones have become more efficient,and cost-effective,with longer battery life and greater loading capacity.Today,UAVs have proven to be an effective and affordable solution for enhancing healthcare accessibility for patients who face geographical or infrastructural barriers.Using drone networks can greatly reduce the time transporting life-saving equipment,such as delivering automated external defibrillators(AEDs),to cardiac arrest victims,and can provide quick assistance to reduce travel time for the patients. 展开更多
关键词 initially TRAVEL BATTERY
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Simulation and Traffic Safety Assessment of Heavy-Haul Railway Train-Bridge Coupling System under Earthquake Action
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作者 Liangwei Jiang Wei Zhang +3 位作者 Hongyin Yang Xiucheng Zhang Jinghan Wu Zhangjun Liu 《Structural Durability & Health Monitoring》 EI 2024年第6期835-851,共17页
Aiming at the problem that it is difficult to obtain the explicit expression of the structural matrix in the traditional train-bridge coupling vibration analysis,a combined simulation system of train-bridge coupling s... Aiming at the problem that it is difficult to obtain the explicit expression of the structural matrix in the traditional train-bridge coupling vibration analysis,a combined simulation system of train-bridge coupling system(TBCS)under earthquake(MAETB)is developed based on the cooperative work of MATLAB and ANSYS.The simulation system is used to analyze the dynamic parameters of the TBCS of a prestressed concrete continuous rigid frame bridge benchmark model of a heavy-haul railway.The influence of different driving speeds,seismic wave intensities,and traveling wave effects on the dynamic response of the TBCS under the actions of the earthquakes is discussed.The results show that the bridge displacement increase in magnitude in the lateral direction is more significant than in the vertical direction under the action of an earthquake.The traveling wave effect can significantly reduce the lateral response of the bridge,but it will significantly increase the train derailment coefficient.When the earthquake intensity exceeds 0.2 g,the partial derailment coefficient of the train has exceeded the limit value of the specification. 展开更多
关键词 Train-bridge coupling vibration analysis dynamic response earthquake action traveling wave effect
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A Study on Optimizing the Double-Spine Type Flow Path Design for the Overhead Transportation System Using Tabu Search Algorithm
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作者 Nguyen Huu Loc Khuu Thuy Duy Truong +3 位作者 Quoc Dien Le Tran Thanh Cong Vu Hoa Binh Tran Tuong Quan Vo 《Intelligent Automation & Soft Computing》 2024年第2期255-279,共25页
Optimizing Flow Path Design(FPD)is a popular research area in transportation system design,but its application to Overhead Transportation Systems(OTSs)has been limited.This study focuses on optimizing a double-spine f... Optimizing Flow Path Design(FPD)is a popular research area in transportation system design,but its application to Overhead Transportation Systems(OTSs)has been limited.This study focuses on optimizing a double-spine flow path design for OTSs with 10 stations by minimizing the total travel distance for both loaded and empty flows.We employ transportation methods,specifically the North-West Corner and Stepping-Stone methods,to determine empty vehicle travel flows.Additionally,the Tabu Search(TS)algorithm is applied to branch the 10 stations into two main layout branches.The results obtained from our proposed method demonstrate a reduction in the objective function value compared to the initial feasible solution.Furthermore,we explore howchanges in the parameters of the TS algorithm affect the optimal result.We validate the feasibility of our approach by comparing it with relevant literature and conducting additional tests on layouts with 20 and 30 stations. 展开更多
关键词 Overhead transportation systems tabu search double-spine layout transportationmethod empty travel flow path design
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Propagation and Pinning of Travelling Wave for Nagumo Type Equation
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作者 Sharon-Yasotha Veerayah-Mcgregor Valipuram Manoranjan 《Journal of Applied Mathematics and Physics》 2024年第3期861-869,共9页
In this paper, we study the propagation and its failure to propagate (pinning) of a travelling wave in a Nagumo type equation, an equation that describes impulse propagation in nerve axons that also models population ... In this paper, we study the propagation and its failure to propagate (pinning) of a travelling wave in a Nagumo type equation, an equation that describes impulse propagation in nerve axons that also models population growth with Allee effect. An analytical solution is derived for the traveling wave and the work is extended to a discrete formulation with a piecewise linear reaction function. We propose an operator splitting numerical scheme to solve the equation and demonstrate that the wave either propagates or gets pinned based on how the spatial mesh is chosen. 展开更多
关键词 Operator Splitting travelling Wave Piecewise Reaction Nagumo Equation PINNING Finite Differences
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Transportation mobility during COVID-19:a systematic review and bibliometric analysis
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作者 Aditya Basunia Azwad Muttaqi +1 位作者 Md.Rifat Hossain Bhuiyan Farhan Anjum Badhon 《Digital Transportation and Safety》 2024年第3期169-183,共15页
The COVID-19 pandemic has significantly affected global transportation mobility,presenting unprecedented challenges to transportation management.Public transit and ride-hailing services saw a drastic reduction in ride... The COVID-19 pandemic has significantly affected global transportation mobility,presenting unprecedented challenges to transportation management.Public transit and ride-hailing services saw a drastic reduction in ridership,leading to an increased inclination towards private vehicles.The pandemic also altered travel patterns and individual mobility due to various COVID-19 protocols.This study conducted a comprehensive review of 96 academic papers spanning from January 1,2020,to December 31,2022,focusing on transportation and mobility using the Scopus database.Three major themes were identified:‘Impact on Ride-Hailing Services',‘Impact on Mode Preference',and‘Impact on Trip Purpose',with subdivisions based on keywords and key findings extracted using VOSviewer.The pandemic significantly impacted ride-hailing services,altering demand,usage,and safety measures.Mode preference shifted towards private vehicles due to safety concerns.The present study underscores the long-term implications of the pandemic,emphasizing recovery strategies for ride-hailing services and mode preferences post-pandemic.It highlights the need for sustainable transportation policies,advocating for enhanced public transportation systems,promoting active travel modes,and addressing socioeconomic disparities in mobility patterns.The findings emphasize the need for resilient transportation strategies in the face of future disruptions. 展开更多
关键词 COVID-19 Transportation mobility Bibliometric analysis Text mining Travel patten Travel behavior
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Effect of travelling magnetic field on interface morphology in directionally solidified Sn-Cd alloy 被引量:2
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作者 王雷 沈军 +2 位作者 王灵水 冯周荣 傅恒志 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2013年第8期2454-2459,共6页
The diversity of interface morphologies is observed for directionally solidified Sn-0.65%Cd alloy under a travelling magnetic field (TMF) in the 4 mm-diameter sample. Under an upward TMF, planar and cellular interfa... The diversity of interface morphologies is observed for directionally solidified Sn-0.65%Cd alloy under a travelling magnetic field (TMF) in the 4 mm-diameter sample. Under an upward TMF, planar and cellular interface morphologies transform alternately with increasing magnetic flux density (B≤10.3 mT). The interface morphology transforms from shallow cellular to deep cellular morphology under a weak downward TMF (B=3.2 mT). When the magnetic flux density increases further, both sides of the interface morphology appear to be slightly inconsistent, but they roughly tend to be planar under a strong downward TMF (BS10.3 mT). The interface instability may be attributed to the flow driven by the TMF. Moreover, the shape of interface appears to be almost flat under an upward TMF, but deflective under a downward TMF. 展开更多
关键词 directional solidification travelling magnetic field interface morphology Sn-Cd alloy
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Speed Control of Travelling Wave Type Ultrasonic Motors Using Artificial Neural Network
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作者 杨忠 金龙 《Journal of Southeast University(English Edition)》 EI CAS 1999年第2期63-68,共6页
Ultrasonic motor (USM) is a newly developed motor, and it has some excellent performances and useful features, therefore, it has been expected to be of practical use. However, the driving principle of USM is different... Ultrasonic motor (USM) is a newly developed motor, and it has some excellent performances and useful features, therefore, it has been expected to be of practical use. However, the driving principle of USM is different from that of other electromagnetic type motors, and the mathematical model is complex to apply to motor control. Furthermore, the speed characteristics of the motor have heavy nonlinearity and vary with driving conditions. Hence, the precise speed control of USM is generally difficult. This paper proposes a new speed control scheme for USM using an artificial neural network. An accurate tracking response can be obtained by random initialization of the weights of the network owing to the powerful on line learning capability. Two prototype ultrasonic motors of travelling wave type were fabricated, both having 100 mm outer diameters of stator and piezoelectric ceramic. The usefulness and validity of the proposed control scheme are examined in experiments. 展开更多
关键词 artificial neural networks ultrasonic motors travelling wave type speed control
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Travel time and alternative configurations analysis for automated storage/retrieval systems based on geometrical method
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作者 马新露 赵林度 Lothar Schulze 《Journal of Southeast University(English Edition)》 EI CAS 2007年第S1期161-167,共7页
In order to evaluate the efficiency of the automated storage/retrieval system(AS/RS)accurately,and compare different layouts of the AS/RS using mean travel time,under randomized storage conditions,an exact,geometry-ba... In order to evaluate the efficiency of the automated storage/retrieval system(AS/RS)accurately,and compare different layouts of the AS/RS using mean travel time,under randomized storage conditions,an exact,geometry-based analytical model is presented.The model can be used to compute the expected single-command and dual-command travel time for a storage/retrieval(S/R)machine which can travel simultaneously horizontally and vertically as it moves along a storage aisle.The rack may be either square in time or non square in time.Additionally,the alternative layouts of the AS/RS and travel-time models are examined.Comparing with setting the I/O point at the left-lower corner of the rack,setting the I/O point at any point at the vertical edge can help enhance the efficiency of the AS/RS. 展开更多
关键词 travel time model automated storage/retrieval system geometry method Tchebychev approximation
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On the Value of "Wild Play Grounds" in Promoting Local "Carefree Travelling"
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作者 宋伟 《Journal of Landscape Research》 2009年第9期74-77,98,共5页
'Wild Play Grounds' are the wild places which can attract people to visit.And the 'Wild Play Grounds' are generally the naturally existing places with unique charm,rather than the established tourist a... 'Wild Play Grounds' are the wild places which can attract people to visit.And the 'Wild Play Grounds' are generally the naturally existing places with unique charm,rather than the established tourist attractions or scenic spots.There are no formal organizations for the daily management.Both tickets and clear geographical borders can not be found here.In this research,'Carefree Travelling' is an integrated project of tourism resources in Shandong Province promoted in 2007.Because of their particular characteristics,the 'Wild Play Grounds' have a certain relationship with 'Carefree Travelling',and they are the natural resources of 'Carefree Travelling'.The development of 'Wild Play Grounds' is the further exploitation of the 'Carefree Travelling' resources as well as a better expanding of the tourist market.Relying on the 'Wild Play Grounds',it also has many advantages to develop 'Carefree Travelling',and it will bring good economic and social benefits.Local government should play an important role in developing the 'Wild Play Grounds'. 展开更多
关键词 WILD PLAY Grounds CAREFREE travelling
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Classification of All Single Travelling Wave Solutions to Calogero-Degasperis-Focas Equation 被引量:16
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作者 LIU Cheng-Shi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第4X期601-604,共4页
Under the travelling wave transformation, Calogero-Degasperis-Focas equation is reduced to an ordinary differential equation. Using a symmetry group of one parameter, this ODE is reduced to a second-order linear inhom... Under the travelling wave transformation, Calogero-Degasperis-Focas equation is reduced to an ordinary differential equation. Using a symmetry group of one parameter, this ODE is reduced to a second-order linear inhomogeneous ODE. Furthermore, we apply the change of the variable and complete discrimination system for polynomial to solve the corresponding integrals and obtained the classification of all single travelling wave solutions to Calogero- Degasperis-Focas equation. 展开更多
关键词 classification of travelling wave solution symmetry group Calogero-Degasperis-Focas equation
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