• Title/Summary/Keyword: Integral model

Search Result 1,100, Processing Time 0.036 seconds

Energy equivalent model in analysis of postbuckling of imperfect carbon nanotubes resting on nonlinear elastic foundation

  • Mohamed, Nazira;Eltaher, Mohamed A.;Mohamed, Salwa A.;Seddek, Laila F.
    • Structural Engineering and Mechanics
    • /
    • v.70 no.6
    • /
    • pp.737-750
    • /
    • 2019
  • This paper investigates the static and dynamic behaviors of imperfect single walled carbon nanotube (SWCNT) modeled as a beam structure by using energy-equivalent model (EEM), for the first time. Based on EEM Young's modulus and Poisson's ratio for zigzag (n, 0), and armchair (n, n) carbon nanotubes (CNTs) are presented as functions of orientation and force constants. Nonlinear Euler-Bernoulli assumptions are proposed considering mid-plane stretching to exhibit a large deformation and a small strain. To simulate the interaction of CNTs with the surrounding elastic medium, nonlinear elastic foundation with cubic nonlinearity and shearing layer are employed. The equation governed the motion of curved CNTs is a nonlinear integropartial-differential equation. It is derived in terms of only the lateral displacement. The nonlinear integro-differential equation that governs the buckling of CNT is numerically solved using the differential integral quadrature method (DIQM) and Newton's method. The linear vibration problem around the static configurations is discretized using DIQM and then is solved as a linear eigenvalue problem. Numerical results are depicted to illustrate the influence of chirality angle and imperfection amplitude on static response, buckling load and dynamic behaviors of armchair and zigzag CNTs. Both, clamped-clamped (C-C) and simply supported (SS-SS) boundary conditions are examined. This model is helpful especially in mechanical design of NEMS manufactured from CNTs.

Real-time Adaptive PID Temperature Control that limits Overshoot (오버슈트를 제한하는 실시간 적응형 PID 온도제어)

  • Jin Moon Nam
    • The Journal of the Convergence on Culture Technology
    • /
    • v.9 no.6
    • /
    • pp.957-966
    • /
    • 2023
  • In this paper, we propose a new real-time adaptive PID temperature control technique. This is a technique that prevents overshoot by introducing a model that represents the control object. To prevent excessive integration that causes overshoot, integral control adjusts the integral gain to track the heat loss of the model in real time. In the conventional PID control, the integration was dependent on proportional control and the gain was fixed to a constant. As a result, applying two gains that mismatch each other could cause excessive overshoot. However, the proposed adaptive control actively eliminates overshoot so that the integral control amount does not always exceed the heat loss. The cause of overshoot in PID control is integration. Basically, proportional control does not cause overshoot. Therefore, according to the proposed technique, adaptive PID control without the need for tuning experiments can be realized.

Variable Structure Model Reference Adaptive Control, for SIMO Systems

  • mohammadi, Ardeshir Karami
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2004.08a
    • /
    • pp.1987-1992
    • /
    • 2004
  • A Variable Structure Model Reference Adaptive Controller (VS-MRAC) using state Variables is proposed for single input multi output systems. . The structure of the switching functions is designed based on stability requirements, and global exponential stability is proved. Transient behavior is analyzed using sliding mode control and shows perfect model following at a finite time. The effect of input disturbances on stability and transients is investigated and shows preference to the conventional MRAC schemes with integral adaptation law. Sliding surfaces are independent of system parameters and therefore VS-MRAC is insensitive to system parameter variations. Simulation is presented to clear the theoretical results.

  • PDF

Analysis of crack growth by modified Gurson model (수정 Gurson 모델을 이용한 균열성장 해석)

  • Yang Seung-Yong;Goo Byeong-choon;Kim Jae-Hoon
    • Proceedings of the KSR Conference
    • /
    • 2004.06a
    • /
    • pp.702-709
    • /
    • 2004
  • Modified Gurson model (Gurson-Tvergaard-Needleman model) was used to analyze crack growth in M(T) and C(T) specimens. A commercial finite element code ABAQUS/Explicit is used to account for total failure of material point by cavity coalescence, and crack growth was simulated by finite element extinction. Crack growth resistance curve was obtained by calculating J-integral. Crack growth under residual stress was investigated.

  • PDF

Feedback Linearization for the Looper System of Hot Strip Mills

  • Hwang, I-Cheol;Kim, Seong-Bae
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2002.10a
    • /
    • pp.56.5-56
    • /
    • 2002
  • This paper studies on the feedback linearization of the looper system for hot strip mills, where the looper system plays an important role in regulating the strip tension. Firstly, nonlinear dynamic equations of the looper system are simply introduced. Secondly, using the static feedback linearization algorithm, a linear model of the looper system is obtained, of which usefulness is validated from comparison between the linear model and the nonlinear model, and design of LQI(Linear Ouadratic Integral optimal control) and ILQ (Inverse Linear Quadratic optimal control) looper control systems. In result, it is shown that the linear looper model by the feedback linearization well describes nonlin...

  • PDF

COMPARISON OF NUMERICAL METHODS FOR OPTION PRICING UNDER THE CGMY MODEL

  • Lee, Ahram;Lee, Younhee
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.29 no.3
    • /
    • pp.503-508
    • /
    • 2016
  • We propose a number of finite difference methods for the prices of a European option under the CGMY model. These numerical methods to solve a partial integro-differential equation (PIDE) are based on three time levels in order to avoid fixed point iterations arising from an integral operator. Numerical simulations are carried out to compare these methods with each other for pricing the European option under the CGMY model.

Automatic Tuning of Multi-Loop PID Controller (다중루프 PID 제어기의 자동 동조)

  • ;Zeungnam Bien
    • The Transactions of the Korean Institute of Electrical Engineers
    • /
    • v.39 no.5
    • /
    • pp.478-484
    • /
    • 1990
  • An automatic tuning method of a PID controller which is used for single input single output processes is proposed. In the proposed tuning method, the frequency response data model is adopted along with the performance index which is an integral of time weighted square error between reference model and process frequency response data model for tuning. This method is easier to retune when either the process dynamics is changed or the reference model is changed. Finally, an example is provided to show the usefulness of the method.

  • PDF

A Study on Authentic Assessment Model Development in School Mathematics (학교수학에서의 참평가(authentic assessment) 모형 개발에 관한 연구)

  • Son, Jung Hwa;Kang, Ok Gi
    • School Mathematics
    • /
    • v.15 no.1
    • /
    • pp.77-99
    • /
    • 2013
  • The purpose of this study is to develop authentic assessment model of school mathematics completed an integral part of the classroom in the real situation to do authentic assessment about students's mathematics learning ablity. To do this, it is performed literature researches on authentic assessment system of school mathematics, situation cognition class design model, Lincoln & Guba's the forth generation assessment model, NAEP high ability assessment model, Guliker & Bastiaens & Kirschner's authentic assessment model. And it is extracted authentic assessment elements of school mathematics from them, and it is developed authentic assessment model completed an integral part of the classroom in the real situation. This authentic assessment model of school mathematics is confirmed the proper model in assessing mathematical activities and achievement by applying authentic assessment tasks with class's integrated part, and each factor and phase was regarded as the proper thing in the teaching and learning for experts in studies of mathematical education.

  • PDF

Active Window system based on Finite Thickness Window Model (유한 두께 창문 모델을 적용한 능동 소음제어 창문)

  • Kwon, Byoung-Ho;Park, Young-Jin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2012.04a
    • /
    • pp.763-768
    • /
    • 2012
  • Active window system which can reduce the environmental noises, such as traffic noise and construction noise, from an open window into a room was proposed in the previous works. The key idea of the proposed active window system was that the control sources are approximately collocated with the primary noise source in terms of the acoustic power for global noise reduction throughout the interior room. Moreover, because it is important not to intrude into the living space in the building environment, no error sensors were used and an open-loop control method using control sources at the window frame and the reference sensors outside the room was used for the proposed system. The open-loop control gain was calculated by the interior room model assumed as the semi-infinite space, and the interior sound field was estimated by Rayleigh integral equation under the baffled window model assumption. However, windows with a finite thickness should were considered for the calculation of the open-loop control gain of the active window system since these are representative of most window cases. Therefore, the finite thickness window model based on the Sgard's model was derived and the open-loop control gain using the interior sound field estimated by that model was calculated for active window system. To compare the performance of these two models, a scale-model experiment was performed in an anechoic chamber according to noise source directions. Experimental results showed that the performance for the thickness window model is better than the baffled window model as the angle with respect to the perpendicular direction is larger.

  • PDF