• 제목/요약/키워드: Taylor model

검색결과 284건 처리시간 0.026초

Discretization of Nonlinear Systems with Delayed Multi-Input VIa Taylor Series and Scaling and Squaring Technique

  • Yuanliang Zhang;Chong Kil To
    • Journal of Mechanical Science and Technology
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    • 제19권11호
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    • pp.1975-1987
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    • 2005
  • An input time delay always exists in practical systems. Analysis of the delay phenomenon in a continuous-time domain is sophisticated. It is appropriate to obtain its corresponding discrete-time model for implementation via digital computers. In this paper a new scheme for the discretization of nonlinear systems using Taylor series expansion and the zero-order hold assumption is proposed. The mathematical structure of the new discretization method is analyzed. On the basis of this structure the sampled-data representation of nonlinear systems with time-delayed multi-input is presented. The delayed multi-input general equation has been derived. In particular, the effect of the time-discretization method on key properties of nonlinear control systems, such as equilibrium properties and asymptotic stability, is examined. Additionally, hybrid discretization schemes that result from a combination of the scaling and squaring technique (SST) with the Taylor series expansion are also proposed, especially under conditions of very low sampling rates. Practical issues associated with the selection of the method's parameters to meet CPU time and accuracy requirements, are examined as well. A performance of the proposed method is evaluated using a nonlinear system with time delay maneuvering an automobile.

전단류 분산 해석을 위한 순차혼합모형의 개발 (Development of Sequential Mixing Model for Analysis of Shear Flow Dispersion)

  • 서일원;손은우
    • 대한토목학회논문집
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    • 제26권4B호
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    • pp.335-344
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    • 2006
  • 본 연구에서는 Taylor의 이론, 즉 종방향 이송과 횡방향 확산이 서로 독립적으로 일어나며 두 과정이 서로 균형을 이룬다는 개념을 바탕으로 순차혼합모형을 제안하였다. 서로 다른 혼합시간과 유속 분포 등을 사용하여 수치모의를 실시하였으며, 여기서 얻어진 단면평균 농도분포를 1차원 종분산모형과 2차원 이송-분산 모형과 비교하였다. 그 결과, 순차혼합모형이 1차원 종분산모형으로 요약되는 Taylor의 이론을 잘 구현하고 있음을 알 수 있었다. 2차원이송-확산모형과의 비교를 통해 혼합 시간과 횡확산계수와의 관계를 밝힐 수 있었으며, 따라서 순차혼합모형이 1차원 종분산모형뿐 아니라 2차원 이송-분산모형까지 연계하여 전단류 분산을 통합적으로 설명하는 모형임을 알 수 있었다. 본 연구에서는 순차혼합모형의 수치모의 결과와 1차원 종분산모형과의 적합을 통해 종분산계수를 결정하고, 회귀식을 사용해 종분산계수 추정식을 제안하였다. 본 연구에서 제안한 종분산계수 추정식은 38개의 현장실험자료를 사용하여 검증하였다. 그 결과, 하폭 대 수심 비가 비교적 작은 하천에 대해서 높은 신뢰성을 나타내었으며, 대체적으로 기존의 경험식과 비슷한 신뢰도를 나타내었다.

집합조직 기초 가공경화와 이방성에 의한 반구 성형공정의 전산 시뮬레이션 (Computer Simulation of Hemispherical Forming Process Texture-based Work hardening and Anisotropy)

  • 심정길;금영탁
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2006년도 춘계학술대회 논문집
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    • pp.199-202
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    • 2006
  • The hardening and anisotropy based on the crystal plasticity is considered in the numerical simulation of hemispherical sheet forming process to find more realistic simulation results For calculating the yield shear stresses of each crystal, Taylor's model of the crystalline aggregate is employed. The yield stress of crystalline aggregate is computed by averaging the yield stresses of the crystal. The hardening is evaluated by using the Taylor factor and the critical resolved shear stress of the crystal. In addition, by observing the crystallographic texture and slip system, the anisotropy of the sheet is traced during the forming process. The anisotropy and hardening behaviors of the sheet found by the crystal plasticity are described better than those of obtained from the Hill's quadratic criterion based on the continuum plasticity.

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결정 소성학을 이용한 반구 박판 성형공정의 전산모사 (Computer Simulation of Hemispherical Sheet Forming Process Using Crystal Plasticity)

  • 심정길;금영탁
    • 소성∙가공
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    • 제16권4호
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    • pp.276-281
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    • 2007
  • The hardening and the constitutive equation based on the crystal plasticity are introduced for the numerical simulation of hemispherical sheet metal forming. For calculating the deformation and the stress of the crystal, Taylor's model of the crystalline aggregate is employed. The hardening is evaluated by using the Taylor factor, the critical resolved shear stress of the slip system, and the sum of the crystallographic shears. During the hemispherical forming process, the texture of the sheet metal is evolved by the plastic deformation of the crystal. By calculating the Euler angles of the BCC sheet, the texture evolution of the sheet is traced during the forming process. Deformation texture of the BCC sheet is represented by using the pole figure. The comparison of the strain distribution and punch force in the hemispherical forming process between the prediction using crystal plasticity and experiment shows the verification of the crystal plasticity-based formulation and the accuracy of the hardening and constitutive equation obtained from the crystal plasticity.

Study on the Development of the Maneuvering Mathematical Model Considering the Large Angle Motion of Submarine

  • Jae Hyuk Choi;Sungwook Lee;Jinhyeong Ahn
    • 한국해양공학회지
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    • 제37권3호
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    • pp.81-88
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    • 2023
  • Maneuverability is a crucial factor for the safety and success of submarine missions. This paper introduces a mathematical model that considers the large drift and angle of attack motions of submarines. Various computational fluid dynamics (CFD) simulations were performed to adapt Karasuno's fishery vessel maneuvering mathematical model to submarines. The study also presents the procedure for obtaining the physics-based hydrodynamic coefficients proposed by Karasuno through CFD calculations. Based on these coefficients, the reconstructed forces and moments were compared with those obtained from CFD and to the hydrodynamic derivatives expressed by a Taylor expansion. The study also discusses the mathematical maneuvering model that accounts for the large drift angles and angles of attack of submarines. The comparison results showed that the proposed maneuvering mathematical model based on modified Karasno's model could cover a large range of motions, including horizontal motion and vertical motions. In particular, the results show that the physics-based mathematical maneuvering model can represent the forces and moments acting on the submarine hull during large drift and angle of attack motions. The proposed mathematical model based on the Karasuno model could obtain more accurate results than the Taylor third-order approximation-based mathematical model in estimating the hydrodynamic forces acting on submarines during large drift and angle of attack motions.

개수로에서 2차원 이송-분산 해석을 위한 시간분리 혼합 모형 (Time-split Mixing Model for Analysis of 2D Advection-Dispersion in Open Channels)

  • 정영재;서일원
    • 대한토목학회논문집
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    • 제33권2호
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    • pp.495-506
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    • 2013
  • 본 연구에서는 전단류 분산이 이송과 난류에 의한 확산의 결합에 의해 발생한다는 Taylor (1954)의 가정을 바탕으로 개념적 모형을 구성하고, 이를 3차원 개수로에 적용하여 오염물질의 혼합과정을 재현할 수 있는 시간분리 혼합모형(Time-split Mixing Model; TMM)을 개발하였다. 개발된 모형은 연산자 분리 기법(operator split method)과 유사하게 혼합과정을 종방향 혼합과 횡방향 혼합으로 분리하고, 유속 연직편차에 의한 농도분리과정과 난류확산에 의한 연직방향 혼합과정을 순차적으로 반복 계산함으로써 2차원 이송-분산을 재현한다. 수치모의 결과, 제안된 모형은 수로벽면에 의한 농도중첩 효과를 잘 반영하고 있으며, Taylor 구간 내에서 2차원 이송-분산 모형의 해석해와 거의 일치하고 있음을 확인하였다(Chatwin, 1970). 본 모형은 하상경사, 하폭 대 수심 비, 혼합시간 등의 변화에 따라 분산 정도를 달리 재현하고 있으며, 산정된 종분산계수는 Elder(1959)가 제안한 상수값과는 달리 혼합시간에 따라 변화하는 양상을 나타냈다. 횡분산계수의 경우, Sayre와 Chang(1968), Fischer 등(1979)이 실험을 통해 제시한 값과 유사한 범위를 나타냈다.

Message Security Level Integration with IoTES: A Design Dependent Encryption Selection Model for IoT Devices

  • Saleh, Matasem;Jhanjhi, NZ;Abdullah, Azween;Saher, Raazia
    • International Journal of Computer Science & Network Security
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    • 제22권8호
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    • pp.328-342
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    • 2022
  • The Internet of Things (IoT) is a technology that offers lucrative services in various industries to facilitate human communities. Important information on people and their surroundings has been gathered to ensure the availability of these services. This data is vulnerable to cybersecurity since it is sent over the internet and kept in third-party databases. Implementation of data encryption is an integral approach for IoT device designers to protect IoT data. For a variety of reasons, IoT device designers have been unable to discover appropriate encryption to use. The static support provided by research and concerned organizations to assist designers in picking appropriate encryption costs a significant amount of time and effort. IoTES is a web app that uses machine language to address a lack of support from researchers and organizations, as ML has been shown to improve data-driven human decision-making. IoTES still has some weaknesses, which are highlighted in this research. To improve the support, these shortcomings must be addressed. This study proposes the "IoTES with Security" model by adding support for the security level provided by the encryption algorithm to the traditional IoTES model. We evaluated our technique for encryption algorithms with available security levels and compared the accuracy of our model with traditional IoTES. Our model improves IoTES by helping users make security-oriented decisions while choosing the appropriate algorithm for their IoT data.

Temporal variability of Evapotranspiration simulated by different models at the croplands

  • Choi, Min-Ha;Lee, Jin-Woo;Kim, Tae-Woong;Cho, Yong-Sik
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2009년도 학술발표회 초록집
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    • pp.535-539
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    • 2009
  • Evapotranspiration (ET) is one of the main factor to understand the hydrologic cycle on land surfaces of entire globe. It accounts for about 65% of precipitation returning to the atmosphere. Accurate estimation of the ET is essential to many applications of water resources management, hydrology, meteorology, climatology, and agriculture. Over the past few decades, there have been extensive efforts to develop and validate a number of ET models. Priestley-Taylor (P-T) and Food and Agriculture Organization Penman-Monteith (P-M) models are generally recognized as simple, but great operational approaches to estimate ET over different land cover types. In this study, we compare/validate different models of increasing complexity, P-T, P-M, and Common Land Model (CLM) in croplands, IA.

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이중연소 램제트엔진의 성능해석 기법 (Performance Analysis Method for Dual Combustion Ramjet Engines)

  • 서봉균;염효원;성홍계;길현용;윤현걸
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2011년도 제36회 춘계학술대회논문집
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    • pp.326-330
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    • 2011
  • 이중연소 램제트엔진의 아음속 연소기의 연소가스와 스크램제트 모드로 흡입되는 흡입공기의 혼합 및 초음속 연소를 고려한 이중연소램제트 성능해석 기법을 개발하고 검증하였다. 극초음속 흡입구의 유동특성을 고려하기 위하여 Taylor-Maccoll 방정식을 사용하였으며 초음속 연소기 해석을 위해 준 1차원 연소모델 및 CEA를 이용한 화학 평형 모델을 적용하였다. 개발된 모델을 통하여 계산된 흡입구와 연소기에서의 열역학 데이터를 수치해석 결과와 비교하였다.

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Modeling and assessment of VWNN for signal processing of structural systems

  • Lin, Jeng-Wen;Wu, Tzung-Han
    • Structural Engineering and Mechanics
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    • 제45권1호
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    • pp.53-67
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    • 2013
  • This study aimed to develop a model to accurately predict the acceleration of structural systems during an earthquake. The acceleration and applied force of a structure were measured at current time step and the velocity and displacement were estimated through linear integration. These data were used as input to predict the structural acceleration at next time step. The computation tool used was the Volterra/Wiener neural network (VWNN) which contained the mathematical model to predict the acceleration. For alleviating problems of relatively large-dimensional and nonlinear systems, the VWNN model was utilized as the signal processing tool, including the Taylor series components in the input nodes of the neural network. The number of the intermediate layer nodes in the neural network model, containing the training and simulation stage, was evaluated and optimized. Discussions on the influences of the gradient descent with adaptive learning rate algorithm and the Levenberg-Marquardt algorithm, both for determining the network weights, on prediction errors were provided. During the simulation stage, different earthquake excitations were tested with the optimized settings acquired from the training stage to find out which of the algorithms would result in the smallest error, to determine a proper simulation model.