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Bifurcations of Resonant Solutions and Chaos in Physical Pendulum Equation with Suspension Axis Vibrations

Acta Mathematicae Applicatae Sinica 2010年第4期26卷 677-704页

作者： Xiang-ling Fu Jin Deng jian-ping yang School of Mathematics Hunan University of Science and TechnologyHunan 411201China College of Mathematics and Computer Sciences Hunan Normal UniversityHunan 410081China Department of Mathematics and Physics Hunan Institute of EngineeringHunan 411104China College of Science China Agricultural UniversityBeijing 100083China

This paper is a continuation of ＂Complex Dynamics in Physical Pendulum Equation with Suspension Axis Vibrations＂[1].In this paper,we investigate the existence and the bifurcations of resonant solution for ω0：ω：Ω ≈ 1：1：n,1：2：n,1：3：n,2：1：n and 3：1：n by using second-order averaging method,give a criterion for the existence of resonant solution for ω0：ω：Ω ≈ 1：m：n by using Melnikov＇s method and verify the theoretical analysis by numerical *** numerical simulation,we expose some other interesting dynamical behaviors including the entire invariant torus region,the cascade of invariant torus behaviors,the entire chaos region without periodic windows,chaotic region with complex periodic windows,the entire period-one orbits region;the jumping behaviors including invariant torus behaviors converting to period-one orbits,from chaos to invariant torus behaviors or from invariant torus behaviors to chaos,from period-one to chaos,from invariant torus behaviors to another invariant torus behaviors;the interior crisis;and the different nice invariant torus attractors and chaotic *** numerical results show the difference of dynamical behaviors for the physical pendulum equation with suspension axis vibrations between the cases under the three frequencies resonant condition and under the periodic/quasi-periodic *** exhibits many invariant torus behaviors under the resonant *** find a lot of chaotic behaviors which are different from those under the periodic/quasi-periodic ***,we did not find the cascades of period-doubling bifurcation.

关键词： Pendulum equation suspension axis vibrations averaging method Melnikov's method bifurcations chaos three frequencies resonances resonant solution

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Bifurcations and Chaos in Duffng Equation with Damping and External Excitations

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Acta Mathematicae Applicatae Sinica 2014年第2期30卷 483-504页

作者： Mei-xiang CAI jian-ping yang Jin DENG Institute of Mathematics and Physics Central South University of Forestry and Technology College of Science China Agriculture University Department of Mathematics and Physics Hunan Institute of Engineering

Duffing equation with damping and external excitations is investigated. By using Melnikov method and bifurcation theory, the criterions of existence of chaos under periodic perturbations are obtained. By using second-order averaging method, the criterions of existence of chaos in averaged system under quasi-periodic perturbations for Ω = nω ＋ εσ, n = 2,4,6 （where σ is not rational to ω） are investigated. However, the criterions of existence of chaos for n = 1, 3, 5, 7 - 20 can not be given. The numerical simulations verify the theoretical analysis, show the occurrence of chaos in the averaged system and original system under quasi- periodic perturbation for n = 1, 2, 3, 5, and expose some new complex dynamical behaviors which can not be given by theoretical analysis. In particular, the dynamical behaviors under quasi-periodic perturbations are different from that under periodic perturbations, and the period-doubling bifurcations to chaos has not been found under quasi-periodic perturbations.

关键词： Duffing equation Melnikov method second-order averaging method chaos

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Quantitative evaluation of multi-process collaborative operation in steelmaking–continuous casting sections

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International Journal of Minerals,Metallurgy and Materials 2021年第8期28卷 1353-1366页

作者： jian-ping yang Qing Liu Wei-da Guo Jun-guo Zhang State Key Laboratory of Advanced Metallurgy University of Science and Technology BeijingBeijing 100083China Engineering Research Center of MES Technology for Iron&Steel Production Ministry of EducationBeijing 100083China Laiwu iron and Steel Group Yinshan Section Steel Co. Ltd.Jinan 271104China Hesteel Group Tangsteel Company Tangshan 063000China

The quantitative evaluation of multi-process collaborative operation is of great significance for the improvement of production planning and scheduling in steelmaking–continuous casting sections(SCCSs). However, this evaluation is difficult since it relies on an in-depth understanding of the operating mechanism of SCCSs, and few existing methods can be used to conduct the evaluation, due to the lack of full-scale consideration of the multiple factors related to the production operation. In this study, three quantitative models were developed, and the multiprocess collaborative operation level was evaluated through the laminar-flow operation degree, the process matching degree, and the scheduling strategy availability degree. Based on the evaluation models for the laminar-flow operation and process matching levels, this study investigated the production status of two steelmaking plants, plants A and B, based on actual production data. The average laminar-flow operation(process matching) degrees of SCCSs were obtained as 0.638(0.610) and 1.000(0.759) for plants A and B, respectively, for the period of April to July 2019. Then, a scheduling strategy based on the optimization of the furnace-caster coordinating mode was suggested for plant A. Simulation experiments showed higher availability than the greedy-based and manual strategies. After the proposed scheduling strategy was applied,the average process matching degree of the SCCS of plant A increased by 4.6% for the period of September to November 2019. The multi-process collaborative operation level was improved with fewer adjustments and interruptions in casting.

关键词： steelmaking–continuous casting multi-process collaborative operation quantitative evaluation model laminar-flow operation process matching scheduling strategy

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Genetic optimization of ladle scheduling in empty-ladle operation stage based on temperature drop control

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Journal of Iron and Steel Research International 2022年第4期29卷 563-574页

作者： Yu-jie Hong Qing Liu jian-ping yang jian Wang Shan Gao Hong-hui Li State Key Laboratory of Advanced Metallurgy University of Science and Technology BeijingBeijing 100083China Laiwu Iron and Steel Group Yinshan Section Steel Co.Ltd.Laiwu 271100ShandongChina

To optimize ladle scheduling in the empty-ladle operation stage of steel plants,a mathematical scheduling model was established for the empty-ladle operation stage,taking the minimum total waiting time in the empty-ladle operation stage as the optimization goal and setting the equipment assignment uniqueness as the key *** improved genetic algorithm was designed to calculate the mathematical scheduling *** the operation of the genetic algorithm,the strategy of"ladle temperature drop control"was adopted to solve the problem of equipment conflicts and reduce unreasonable ladle temperature drops to enhance"red-ladle"*** main production modes operating at 95%capacity in a Chinese steel plant were simulated using the genetic optimization *** results showed that the genetic optimization model could improve the efficiency of ladle operation and reduce the total waiting time in the empty-ladle operation stage by 868–1147 min.

关键词： Ladle scheduling Empty-ladle operation Waiting time Genetic algorithm Temperature drop

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Bifurcation of Periodic Orbits and Chaos in Duffing Equation

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Acta Mathematicae Applicatae Sinica 2006年第3期22卷 495-508页

作者： Mei-xiang Cai jian-ping yang Department of Mathcmatics Hunan Normal University Changsha 410081 China Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 Chian and Graduate School of the Chinese Academy of Sciences Beijing 100039

Duffing equation with fifth nonlinear-restoring force, one external forcing and a phase shift is investigated, The conditions of existences for primary resonance, second-order, third-order subharmonics, morder subharmonics and chaos are given by using second-averaging method, Melnikov methods and bifurcation theory. Numerical simulations including bifurcation diagrams, bifurcation surfaces, phase portraits, not only show the consistence with the theoretical analysis, but also exhibit the new dynamical behaviors. We show the onset of chaos, chaos suddenly disappearing to period orbit, one-band and double-band chaos, period-doubling bifurcations from period 1, 2, and 3 orbits, period-windows （period-2, 3 and 5） in chaotic regions.

关键词： Duffing equation Melnikov's method second-order averaging method chaos

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Boron heteroatom-doped silicon-carbon peanut-like composites enables long life lithium-ion batteries

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Rare Metals 2022年第4期41卷 1276-1283页

作者： Fang-Zhou Zhang Yuan-Yuan Ma Miao-Miao jiang Wei Luo jian-ping yang State Key Laboratory for Modification of Chemical Fibers and Polymer Materials College of Materials Science and EngineeringDonghua UniversityShanghai 201620China

Carbon coated Si core–shell structures have been proposed to solve the adverse effects of Si-based ***,designing ideal core–shell architecture with excellent surface and interface properties is still a significant ***,a novel peanut-like structure of B-doped silicon/carbon nanoparticle(Si@B-C)synthe-sized by sol–gel process and subsequent thermal reduction is *** peanut-like Si@B-C electrode demon-strates a superior cyclability of 534 mAh·g^(-1)after 1000 cycles at high current density of 1000 mA·g^(-1).The exceptional electrochemical performance is attributed to the boric acid-induced highly interconnected peanut-like structure and boron heteroatom framework could provide a continuous electron pathway to reduce the irreversible lithium ion loss during rapid *** work provides insight into the development of the heteroatom-doped Si-based anodes with stable cycling performance for LIBs.

关键词： Lithium-ion battery Silicon anode Peanutlike structure Boron doping Long cycle life

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Bi_(2)S_(3) nanofiber bunch for highly efficient CO_(2) electroreduction to formate at low overpotential

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Rare Metals 2024年第7期43卷 3391-3399页

作者： Li Wang Wen-Ke Gui Shan jiang Liang Wang jian-ping yang State Key Laboratory for Modification of Chemical Fibers and Polymer Materials College of Materials Science and EngineeringDonghua UniversityShanghai 201620China Centre for Catalysis and Clean Energy Griffith UniversityGold Coast CampusGold CoastQLD 4222Australia

Electrochemical conversion of CO_(2) into valuable chemicals represents a promising strategy to alleviate the environmental issues caused by excessive CO_(2) levels in the *** this work,Bi_(2)S_(3) with different morphologies have been fabricated via facile hydrothermal method to investigate the CO_(2) electrochemical reduction process.

关键词： process. facile Electrochemical

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Research on thermal insulation materials properties under HTHP conditions for deep oil and gas reservoir rock ITP-Coring

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Petroleum Science 2024年第4期21卷 2625-2637页

作者： Zhi-Qiang He He-ping Xie Ling Chen jian-ping yang Bo Yu Zi-Jie Wei Ming-Zhong Gao State Key Laboratory of Intelligent Construction and Healthy Operation and Maintenance of Deep Underground Engineering College of Water Resource and HydropowerSichuan UniversityChengdu610065SichuanChina Guangdong Provincial Key Laboratory of Deep Earth Sciences and Geothermal Energy Exploitation and Utilization Institute of Deep Earth Sciences and Green EnergyCollege of Civil and Transportation EngineeringShenzhen UniversityShenzhen518060GuangdongChina School of Mechanical Engineering Sichuan UniversityChengdu610065SichuanChina College of Polymer Science and Engineering Sichuan UniversityChengdu610065SichuanChina

Deep oil and gas reservoirs are under high-temperature conditions,but traditional coring methods do not consider temperature-preserved measures and ignore the influence of temperature on rock porosity and permeability,resulting in distorted resource *** development of in situ temperaturepreserved coring(ITP-Coring)technology for deep reservoir rock is urgent,and thermal insulation materials are ***,hollow glass microsphere/epoxy resin thermal insulation materials(HGM/EP materials)were proposed as thermal insulation *** materials properties under coupled hightemperature and high-pressure(HTHP)conditions were *** results indicated that high pressures led to HGM destruction and that the materials water absorption significantly increased;additionally,increasing temperature accelerated the *** temperatures directly caused the thermal conductivity of the materials to increase;additionally,the thermal conduction and convection of water caused by high pressures led to an exponential increase in the thermal *** temperatures weakened the matrix,and high pressures destroyed the HGM,which resulted in a decrease in the tensile mechanical properties of the *** materials entered the high elastic state at 150℃,and the mechanical properties were weakened more obviously,while the pressure led to a significant effect when the water absorption was above 10%.Meanwhile,the tensile strength/strain were 13.62 MPa/1.3%and 6.09 MPa/0.86%at 100℃ and 100 MPa,respectively,which meet the application requirements of the self-designed coring ***,K46-f40 and K46-f50 HGM/EP materials were proven to be suitable for ITP-Coring under coupled conditions below 100℃ and 100 *** further improve the materials properties,the interface layer and EP matrix should be *** results can provide references for the optimization and engineering application of materials and thus technical support for deep oil and gas resourc

关键词： Deep oil and gas reservoir rock In situ temperature-preserved coring(ITPCoring) Hollow glass microsphere/epoxy resin thermal insulation materials(HGM/EP materials) High-temperature and high-pressure(HTHP) Physical and mechanical properties

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Hollow glass microspheres/silicone rubber composite materials toward materials for high performance deep in-situ temperaturepreserved coring

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Petroleum Science 2022年第1期19卷 309-320页

作者： jian-ping yang Ling Chen Xiao-Bin Gu Zhi-Yu Zhao Cheng-Hang Fu Dong-Sheng yang Dong-Zhuang Tian Zhi-Sheng Chen He-ping Xie College of Polymer Science and Engineering Sichuan UniversityChengdu610065China Guangdong Provincial Key Laboratory of Deep Earth Sciences and Geothermal Energy Exploitation and Utilization Institute of Deep Earth Sciences and Green EnergyCollege of Civil and Transportation EngineeringShenzhen UniversityShenzhen518060China School of Mechanical Engineering Sichuan UniversityChengdu610065China Jinshi Drilltech Company Limited Tangshan063004Hebei Institute of New Energy and Low-Carbon Technology Sichuan UniversityChengdu610065China College of Water Resource&Hydropower Sichuan UniversityChengdu610065China Xi'an Research Institute China Coal Technology&Engineering Group CorpXi'an710077China

Deep petroleum resources are stored under high temperature and pressure conditions,with the temperature having a significant influence on the properties of *** in-situ temperature-preserved coring(ITP-coring)devices were developed to assess deep petroleum reserves ***,hollow glass microspheres(HGMs)/silicone rubber(SR)composites that exhibit excellent thermal insulation properties were prepared as thermal insulation materials for deep ITP-coring *** mechanism and process of heat transfer in the composites were explored,as well as their other *** results show that the HGMs exhibit good compatibility with the SR *** the volume fraction of the HGMs is increased to 50%,the density of the HGMs/SR composites is reduced from 0.97 to 0.56 g/cm^(3).The HGMs filler introduces large voids into the composites,reducing their thermal conductivity to 0.11 W/m·*** addition of HGMs into the composites further enhances the thermal stability of the SR,wherein the higher the HGMs filler content,the better the thermal stability of the *** significantly enhance the mechanical strength of the *** increase the compressive strength of the composites by 828%and the tensile strength by 164%.Overall,HGMs improve the thermal insulation,pressure resistance,and thermal stability of HGMs/SR composites.

关键词： In-situ temperature-preserved coring(ITP-coring) Deep in-situ conditions Thermal insulation materials HGMs/SR composites

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Intercomparison measurements from commonly used precipitation gauges in the Qilian Mountains

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Advances in Climate Change Research 2023年第3期14卷 394-405页

作者： Yan-Ni ZHAO Ren-Sheng CHEN Lei WANG Chun-Tan HAN jian-ping yang Qilian Alpine Ecology and Hydrology Research Station Key Laboratory of Ecological Safety and Sustainable Development in Arid LandsNorthwest Institute of Eco-Environment and ResourcesChinese Academy of SciencesLanzhou 730000China University of Chinese Academy of Sciences Beijing 100049China College of Geography and Environment Shandong Normal UniversityJinan 250014China

Precipitation data is vital fundamental data for climate ***,obtaining precise gauge-measured precipitation in high-altitude mountains is challenging,and the precipitation obtained from various gauge types at the same station may *** understand the differences in precipitation observations among the three commonly used gauges in China(Chinese Standard Precipitation Gauges(CSPG),Total Rain weighing Sensor(TRwS),and Geonor T-200B(T200B))in high-altitude mountains and to recommend a stable and cost-effective weighing gauge,a precipitation intercomparison experiment was conducted at Hulu-1 station in the Qilian *** wind-induced error in measurement was corrected with the‘universal’transfer function recommended by the Word Meteorological *** comparison results,adjusted for systematic errors,showed that the rain,snow and mixed precipitation of CSPG and TRwS equipped with the same octagonal vertical double fence shields(CSPGDF and TRwSDF)and single-Alter shields(CSPG_(s)and TRwSs)were close,while the precipitation of Tretyakov-shielded T200B was notably higher than that of CSPG_(s)and *** average differences in annual and daily precipitation between CSPGDF and TRwSDF from 2017 to 2021 were 12.9 mm and 0.10 mm,*** daily precipitation difference between CSPG_(s)and TRwSs from April 2019–December 2021 was 0.10 mm,while the differences between T200Bs and CSPG_(s)and TRwSs was 0.28 mm and 0.38 mm,*** wind shield performance of Alter and Tretyakov was not much different at Hulu-1 site with low wind speed,thus the measurement principle of T200Bs was the primary cause of the high *** the corrected CSPGDF measurement as the standard,the dynamic loss of CSPG_(s)was 17.6%,while that of CSPGUn was 55.6%,indicating that the single-Alter shield could effectively reduce the impact of wind on precipitation *** the comparison results and the price difference of the instruments,it was r

关键词： Precipitation intercomparison experiment Chinese standard precipitation gauge Total rain weighing sensors Geonor T-200B weighing Gauge Qilian mountains

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