• Title/Summary/Keyword: Dynamical system method

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Stochastic optimal control analysis of a piezoelectric shell subjected to stochastic boundary perturbations

  • Ying, Z.G.;Feng, J.;Zhu, W.Q.;Ni, Y.Q.
    • Smart Structures and Systems
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    • v.9 no.3
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    • pp.231-251
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    • 2012
  • The stochastic optimal control for a piezoelectric spherically symmetric shell subjected to stochastic boundary perturbations is constructed, analyzed and evaluated. The stochastic optimal control problem on the boundary stress output reduction of the piezoelectric shell subjected to stochastic boundary displacement perturbations is presented. The electric potential integral as a function of displacement is obtained to convert the differential equations for the piezoelectric shell with electrical and mechanical coupling into the equation only for displacement. The displacement transformation is constructed to convert the stochastic boundary conditions into homogeneous ones, and the transformed displacement is expanded in space to convert further the partial differential equation for displacement into ordinary differential equations by using the Galerkin method. Then the stochastic optimal control problem of the piezoelectric shell in partial differential equations is transformed into that of the multi-degree-of-freedom system. The optimal control law for electric potential is determined according to the stochastic dynamical programming principle. The frequency-response function matrix, power spectral density matrix and correlation function matrix of the controlled system response are derived based on the theory of random vibration. The expressions of mean-square stress, displacement and electric potential of the controlled piezoelectric shell are finally obtained to evaluate the control effectiveness. Numerical results are given to illustrate the high relative reduction in the root-mean-square boundary stress of the piezoelectric shell subjected to stochastic boundary displacement perturbations by the optimal electric potential control.

Preliminary Study on Interplanetary Trajectory Design using Invariant Manifolds of the Circular Restricted Three Body Problem (원형 제한 3체 문제의 불변위상공간을 이용한 행성간 궤적설계 기초 연구)

  • Jung, Okchul;Ahn, Sangil;Chung, Daewon;Kim, Eunkyou;Bang, Hyochoong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.43 no.8
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    • pp.692-698
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    • 2015
  • This paper represents a trajectory design and analysis technique which uses invariant manifolds of the circular restricted three body problem. Instead of the classical patched conic method based on 2-body problem, the equation of motion and dynamical behavior of spacecraft in the circular restricted 3-body problem are introduced, and the characteristics of Lyapunov orbits near libration points and their invariant manifolds are covered in this paper. The trajectories from/to Lyapunov orbits are numerically generated with invariant manifolds in the Earth-moon system. The trajectories in the Sun-Jupiter system are also analyzed with various initial conditions in the boundary surface. These methods can be effectively applied to interplanetary trajectory designs.

Resonance analysis of cantilever porous graphene platelet reinforced pipe under external load

  • Huang, Qinghua;Yu, Xinping;Lv, Jun;Zhou, Jilie;Elvenia, Marischa Ray
    • Steel and Composite Structures
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    • v.45 no.3
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    • pp.409-423
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    • 2022
  • Nowadays, there is a high demand for great structural implementation and multifunctionality with excellent mechanical properties. The porous structures reinforced by graphene platelets (GPLs) having valuable properties, such as heat resistance, lightweight, and excellent energy absorption, have been considerably used in different engineering implementations. However, stiffness of porous structures reduces significantly, due to the internal cavities, by adding GPLs into porous medium, effective mechanical properties of the porous structure considerably enhance. This paper is relating to vibration analysis of fluidconveying cantilever porous graphene platelet reinforced (GPLR) pipe with fractional viscoelastic model resting on foundations. A dynamical model of cantilever porous GPLR pipes conveying fluid and resting on a foundation is proposed, and the vibration, natural frequencies and primary resonant of such a system are explored. The pipe body is considered to be composed of GPLR viscoelastic polymeric pipe with porosity in which Halpin-Tsai scheme in conjunction with the fractional viscoelastic model is used to govern the construction relation of nanocomposite pipe. Three different porosity distributions through the pipe thickness are introduced. The harmonic concentrated force is also applied to the pipe and the excitation frequency is close to the first natural frequency. The governing equation for transverse motions of the pipe is derived by the Hamilton principle and then discretized by the Galerkin procedure. In order to obtain the frequency-response equation, the differential equation is solved with the assumption of small displacement, damping coefficient, and excitation amplitude by the multiple scale method. A parametric sensitivity analysis is carried out to reveal the influence of different parameters, such as nanocomposite pipe properties, fluid velocity and nonlinear viscoelastic foundation coefficients, on the primary resonance and linear natural frequency. Results indicate that the GPLs weight fraction porosity coefficient, fractional derivative order and the retardation time have substantial influences on the dynamic response of the system.

Nonlinear vibration analysis of fluid-conveying cantilever graphene platelet reinforced pipe

  • Bashar Mahmood Ali;Mehmet AKKAS;Aybaba HANCERLIOGULLARI;Nasrin Bohlooli
    • Steel and Composite Structures
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    • v.50 no.2
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    • pp.201-216
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    • 2024
  • This paper is motivated by the lack of studies relating to vibration and nonlinear resonance of fluid-conveying cantilever porous GPLR pipes with fractional viscoelastic model resting on nonlinear foundations. A dynamical model of cantilever porous Graphene Platelet Reinforced (GPLR) pipes conveying fluid and resting on nonlinear foundation is proposed, and the vibration, natural frequencies and primary resonant of such system are explored. The pipe body is considered to be composed of GPLR viscoelastic polymeric pipe with porosity in which Halpin-Tsai scheme in conjunction with fractional viscoelastic model is used to govern the construction relation of the nanocomposite pipe. Three different porosity distributions through the pipe thickness are introduced. The harmonic concentrated force is also applied on pipe and excitation frequency is close to the first natural frequency. The governing equation for transverse motion of the pipe is derived by the Hamilton principle and then discretized by the Galerkin procedure. In order to obtain the frequency-response equation, the differential equation is solved with the assumption of small displacement, damping coefficient, and excitation amplitude by the multiple scale method. A parametric sensitivity analysis is carried out to reveal the influence of different parameters, such as nanocomposite pipe properties, fluid velocity and nonlinear viscoelastic foundation coefficients, on the primary resonance and linear natural frequency. Results indicate that the GPLs weight fraction porosity coefficient, fractional derivative order and the retardation time have substantial influences on the dynamic response of the system.

Vibration Analysis of Combined Deck Structure-Car System of Car Carriers (자동차운반선(自動車運搬船)의 갑판-차량(甲板-車輛) 연성계(聯成系)의 진동해석(振動解析))

  • S.Y.,Han;K.C.,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.2
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    • pp.63-77
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    • 1990
  • The combined deckstructure-car system of a car carrier is especially sensitive to hull girder vibrations due to mechanical excitations and wave loads. For the free and forced vibration analysis of the system, the analytical methods based on the receptance method and two schemes for efficient applications of the methods are presented. The methods are especially relevant to dynamical reanalysis of the system subject to design modification or to dynamic optimization. The deck-car system is modelled as a combined system consisting of a stiffened plate representing deck, primary structure, and attached subsystems such as pillars, additional stiffeners and damped spring-mass systems representing cars/trucks. For response calculations of the system subjected to displacement excitations along the boundaries, the support displacement transfer ratio conceptually similar to the receptance is introduced. For the verification of accuracy and calculation efficiency of the proposed methods, numerical and experimental investigations are carried out.

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The Characteristic and Implication of the View of Object in Oriental Medicine (한의학적(韓醫學的) 대상관(對象觀)의 특징과 성격)

  • Lee, Choong-Yeol
    • The Journal of Korean Medicine
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    • v.16 no.1 s.29
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    • pp.505-530
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    • 1995
  • Recently some people in learned circles of oriental medicine raised a Question about a terminological problem, i.e., 'oriental medical'. This question was thought as an attempt to find out the identity of oriental medicine which exists among the various current medical knowledge systems. In spite of same object, human body, there are diverse medical knowledge systems which has different concepts and theories. This come from the difference of a view of object which defines the experiences of that. The knowledge system of oriental medicine was established by the view of object in oriental medicine which depended on the way of thinking as Yin and Yang. The view of object in oriental medicine has come out in the special cultural soil, namely, the oriental world. Because of this the view of object in oriental medicine cannot be seperated from the oriental world view. What distintive feature does the oriental world view have? It can be summarized as the holistic, dynamical and organic ideas of the world. The term 'oriental medical' is being used to emphasize the characteristic and the peculiarity of the oriental medicine among the various medical knowledge systems. Can the current so called scientific method accept this peculiar and special method of oriental medicine? The efforts of philosophers who had been stimulated by the awful scientific achivements and had tried to find out the unified method penetrating through all the empirical science by mobilizing the logic and mathematics has became out of date for the raise of a question about the inductive method. On the contrary, the theses of theory-laden observation was accepted widely and the relativism was accepted as a new established theory. But the relativism has its own problem. The relativism was founded upon the concept, the incommensurability, which Khun and Feyerabend had proposed. This concept was criticized strongly by some of philosophers because of its own self-refuting. The view of object in oriental medicine has a relative characteristic in the aspect of its urge that in accordance with the perspective a different medical knowledge system can be possible. But our possible choice is the moderate conceptual relativism. Therefore if the view of object in oriental medicine includes the relative aspect, there is the 'conceptual relativity' between the knowledge system of oriental medicine and the western medicine. This preview an important aspect for the standardization and modernizing research of oriental medicine by lending the knowledge of the western medicine. And when we choose the moderate conceptual relativism, it means that we do not support the extreme relativism, that is, 'anything goes'. The concept of truth and rationality cannot be abandoned, and it plays the role of the norm on the knowledge system of oriental medicine and other knowledge systems of medicine in a limited meaning. And the view of object in oriental medicine has an organic view about the human body and the characteristic which wants to interpret the phenomena of human body by using the holistic method. But the availability of this method will be evaluated by the achievements of oriental medicine. Finally what relationship does the theory of oriental medicine have with the world the theory is applied to? It is recognized that the theory of oriental medicine has the instrumental characteristic. But it can be thought the instrumentalism is different from the oriental medical standpoint in the aspect that the instrumentalism seperates the theoretical existence from the observational existence sharply. Because in the oriental thinking way there is no seperation between the mind of observer and the object and no conflict between the idealism and the realism like the western world. For this problem there must be a further study.

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IoT Security Channel Design Using a Chaotic System Synchronized by Key Value (키값 동기된 혼돈계를 이용한 IoT의 보안채널 설계)

  • Yim, Geo-Su
    • The Journal of the Korea institute of electronic communication sciences
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    • v.15 no.5
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    • pp.981-986
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    • 2020
  • The Internet of Things refers to a space-of-things connection network configured to allow things with built-in sensors and communication functions to interact with people and other things, regardless of the restriction of place or time.IoT is a network developed for the purpose of services for human convenience, but the scope of its use is expanding across industries such as power transmission, energy management, and factory automation. However, the communication protocol of IoT, MQTT, is a lightweight message transmission protocol based on the push technology and has a security vulnerability, and this suggests that there are risks such as personal information infringement or industrial information leakage. To solve this problem, we designed a synchronous MQTT security channel that creates a secure channel by using the characteristic that different chaotic dynamical systems are synchronized with arbitrary values in the lightweight message transmission MQTT protocol. The communication channel we designed is a method of transmitting information to the noise channel by using characteristics such as random number similarity of chaotic signals, sensitivity to initial value, and reproducibility of signals. The encryption method synchronized with the proposed key value is a method optimized for the lightweight message transmission protocol, and if applied to the MQTT of IoT, it is believed to be effective in creating a secure channel.

1-month Prediction on Rice Harvest Date in South Korea Based on Dynamically Downscaled Temperature (역학적 규모축소 기온을 이용한 남한지역 벼 수확일 1개월 예측)

  • Jina Hur;Eun-Soon Im;Subin Ha;Yong-Seok Kim;Eung-Sup Kim;Joonlee Lee;Sera Jo;Kyo-Moon Shim;Min-Gu Kang
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.25 no.4
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    • pp.267-275
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    • 2023
  • This study predicted rice harvest date in South Korea using 11-year (2012-2022) hindcasts based on dynamically downscaled 2m air temperature at subseasonal (1-month lead) timescale. To obtain high (5 km) resolution meteorological information over South Korea, global prediction obtained from the NOAA Climate Forecast System (CFSv2) is dynamically downscaled using the Weather Research and Forecasting (WRF) double-nested modeling system. To estimate rice harvest date, the growing degree days (GDD) is used, which accumulated the daily temperature from the seeding date (1 Jan.) to the reference temperature (1400℃ + 55 days) for harvest. In terms of the maximum (minimum) temperatures, the hindcasts tends to have a cold bias of about 1. 2℃ (0. 1℃) for the rice growth period (May to October) compared to the observation. The harvest date derived from hindcasts (DOY 289) well simulates one from observation (DOY 280), despite a margin of 9 days. The study shows the possibility of obtaining the detailed predictive information for rice harvest date over South Korea based on the dynamical downscaling method.

Nonlinear Dynamic Analysis of EEG in Patients with Positive and Negative Schizophrenia (양성 및 음성 정신분열증 환자 뇌파의 비선형 역동 분석)

  • Chae, Jeong-Ho;Pak, E-Jin;Kim, Dai-Jin;Jeong, Jae-Seung;Kim, Soo-Yong;Kim, Kwang-Soo
    • Sleep Medicine and Psychophysiology
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    • v.5 no.2
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    • pp.185-193
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    • 1998
  • Objectives : The hypothesis that the brain is a nonlinear dynamical system exhibiting deterministic chaos has offered new perspectives to the investigation of information processing in the brain of schizophrenic patients. It seemed worthwhile to estimate nonlinear measures of the electroencephalogram (EEG) in positive and negative schizophrenics, because nonlinear measures might serve as indicators of the specific brain function in schizophrenia according to specific psychopathologies. Method : Previous studies which estimated the chaoticity in the brain of schizophrenia with nonlinear methods recorded the EEGs at limited electrodes, so we tried to record EEGs from 16 channels for nonlinear analysis in 8 positive and 9 negative schizophrenics and 8 healthy control subjects. We employed a new method to calculate the nonlinear invariant measures. For limited noisy data, this algorithm was strikingly faster and more accurate than previous ones. Results : Our results showed that the patients with negative schizophrenia had lower the first positive Lyapunov exponents ($L_1$) than the positive schizophrnics and control subjects at $T_3$ lead. Positive symptoms were positively correlated with $L_1$ in $C_3,\;O_1$ leads, and negatively correlated with $C_4$ lead. Conclusion : These results suggest that if clinical variables such as psychopathology or neuroleptic medications would be well controlled, the nonlinear analysis of the EEGs in patients with schizophrenia seems to be a useful tool in analyzing EEG data to explore the neurodynamics.

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