• 제목/요약/키워드: nonlinear coupling

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Integrated Guidance and Control Design for the Near Space Interceptor

  • WANG, Fei;LIU, Gang;LIANG, Xiao-Geng
    • International Journal of Aeronautical and Space Sciences
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    • 제16권2호
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    • pp.278-294
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    • 2015
  • Considering the guidance and control problem of the near space interceptor (NSI) during the terminal course, this paper proposes a three-channel independent integrated guidance and control (IGC) scheme based on the backstepping sliding mode and finite time disturbance observer (FTDO). Initially, the three-channel independent IGC model is constructed based on the interceptor-target relative motion and nonlinear dynamic model of the interceptor, in which the channel coupling term and external disturbance are regarded as the total disturbances of the corresponding channel. Then, the FTDO is introduced to estimate the target acceleration and control system loop disturbances, and the feed-forward compensation term based on the estimated values is employed to effectively remove the effect of disturbances in finite time. Subsequently, the IGC algorithm based on the backstepping sliding mode is also given to obtain the virtual control moment. Furthermore, a robust least-squares weighted control allocation (RLSWCA) algorithm is employed to distribute the previous virtual control moment among the corresponding aerodynamic fins and reaction jets, which also takes into account the uncertainty in the control effectiveness matrix. Finally, simulation results show that the proposed IGC method can obtain the small miss distance and smooth interceptor trajectories.

비정렬격자계를 사용하는 3차원 유동해석코드 개발 (I) - 수치해석방법 - (Development of 3-D Flow Analysis Code Using Unstructured Grid System (I) - Numerical Method -)

  • 김종태;명현국
    • 대한기계학회논문집B
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    • 제29권9호
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    • pp.1049-1056
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    • 2005
  • A conservative pressure-based finite-volume numerical method has been developed for computing flow and heat transfer by using an unstructured grid system. The method admits arbitrary convex polyhedra. Care is taken in the discretization and solution procedures to avoid formulations that are cell-shape-specific. A collocated variable arrangement formulation is developed, i.e. all dependent variables such as pressure and velocity are stored at cell centers. Gradients required for the evaluation of diffusion fluxes and for second-order-accurate convective operators are found by a novel second-order accurate spatial discretization. Momentum interpolation is used to prevent pressure checkerboarding and the SIMPLE algorithm is used for pressure-velocity coupling. The resulting set of coupled nonlinear algebraic equations is solved by employing a segregated approach, leading to a decoupled set of linear algebraic equations fer each dependent variable, with a sparse diagonally dominant coefficient matrix. These equations are solved by an iterative preconditioned conjugate gradient solver which retains the sparsity of the coefficient matrix, thus achieving a very efficient use of computer resources.

3차원 수치해석을 이용한 군말뚝기초의 반복수평하중재하실험에 대한 연구 (3D numerical simulation of group-pile foundation subjected to horizontal cyclic loading)

  • 진영지;김진만;최봉혁;이대영
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2010년도 추계 학술발표회
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    • pp.515-518
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    • 2010
  • Horizontal forces may form a major part of the loading system for structures supported on pile groups. It is known that during a strong earthquake, the dynamic behavior of a group-pile foundation is related not only to the inertial force coming from the superstructures but also to the deformation of the surrounding ground. Therefore, it is necessary to understand the behaviors of the group-pile foundations and superstructures during major earthquakes. In this paper, numerical simulation of real-scale group-pile foundation subjected to horizontal cyclic loading is conducted by using a program named as DBLEAVES. In the analysis, nonlinear behaviors of ground and piles are described by cyclic mobility model and axial force dependent model (AFD model). The purpose of this paper is to prove availability of the analysis method by comparing numerical results and test results.

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유압 서보 구동기의 동특성을 고려한 진동 시험기의 반복 피드포워드 제어 (Iterative Feed-forward Control of Shaking Table System Based on FRF of Hydraulic Actuator)

  • 이동재;박영진;박윤식;김형의;박종원
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 춘계학술대회논문집
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    • pp.556-560
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    • 2007
  • In this paper, the research results for the improvement of tracking performance of a hydraulic shaking table are presented. A servo-hydraulic shaking table is not only highly nonlinear but also has a lot of time delay. In addition, the shaking table, which consists of multi axial hydraulic actuators, is a MIMO system coupled by kinematics and dynamics of each other's actuators. And it is demanded for the shaking table to track arbitrary trajectories up to high frequency even at the extreme situations such as substantial external loads and large disturbances. For this purpose, an iterative feed-forward control based on the inverse of a measured frequency response function is used for the shaking table. To solve the dynamic coupling, a pressure feedback control as numerical damping is used. It is shown through numerical simulations that the tracking performance of shaking table is improved up to 100Hz.

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3차원 공간 판구조물의 유한요소 해석에 관한 연구 (A Study on the Finite Element Analysis of Three Dimensional Plate Structures)

  • 권오영;남정길
    • 수산해양기술연구
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    • 제35권1호
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    • pp.54-59
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    • 1999
  • High-speed electronic digital computers have enabled engineers to employ various numerical discretization techniques for solutions of complex problems. The Finite Element Method is one of the such technique. The Finite Element Method is one of the numerical analysis based on the concepts of fundamental mathematical approximation. Three dimensional plate structures used often in partition of ship, box girder and frame are analyzed by Finite Element Method. In design of structures, the static deflections, stress concentrations and dynamic deflections must be considered. However, these problem belong to geometrically nonlinear mechanical structure analysis. The analysis of each element is independent, but coupling occurs in assembly process of elements. So, to overcome such a difficulty the shell theory which includes transformation matrix and a fictitious rotational stiffness is taken into account. Also, the Mindlin's theory which is considered the effect of shear deformation is used. The Mindlin's theory is based on assumption that the normal to the midsurface before deformation is "not necessarily normal to the midsurface after deformation", and is more powerful than Kirchoff's theory in thick plate analysis. To ensure that a small number of element can represent a relatively complex form of the type which is liable to occur in real, rather than in academic problem, eight-node quadratic isoparametric elements are used. are used.

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Dynamic response of a Timoshenko beam on a tensionless Pasternak foundation

  • Coskun, Irfan;Engin, Hasan;Tekin, Ayfer
    • Structural Engineering and Mechanics
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    • 제37권5호
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    • pp.489-507
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    • 2011
  • The dynamic response of a Timoshenko beam on a tensionless Pasternak foundation is investigated by assuming that the beam is subjected to a concentrated harmonic load at its middle. This action results in the creation of lift-off regions between the beam and the foundation that effect the character of the response. Although small displacements for the beam and the foundation are assumed, the problem becomes nonlinear since the contact/lift-off regions are not known at the outset. The governing equations of the beam, which are coupled in deflection and rotation, are obtained in both the contact and lift-off regions. After removing the coupling, the essentials of the problem (the contact regions) are determined by using an analytical-numerical method. The results are presented in figures to demonstrate the effects of some parameters on the extent of the contact lengths and displacements. The results are also compared with those of Bernoulli-Euler, shear, and Rayleigh beams. It is observed that the solution is not unique; for a fixed value of the frequency parameter, more than one solution (contact length) exists. The contact length of the beam increases with the increase of the frequency and rotary-inertia parameters, whereas it decreases with increasing shear foundation parameter.

Dynamic response of post-tensioned rocking wall-moment frames under near-fault ground excitation

  • Feng, Ruoyu;Chen, Ying;Cui, Guozhi
    • Earthquakes and Structures
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    • 제15권3호
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    • pp.243-251
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    • 2018
  • The dynamic responses of a rocking wall-moment frame (RWMF) with a post-tensioned cable are investigated. The nonlinear equations of motions are developed, which can be categorized as a single-degree-of-freedom (SDOF) model. The model is validated through comparison of the rocking response of the rigid rocking wall (RRW) and displacement of the moment frame (MF) against that obtained from Finite Element analysis when subjected ground motion excitation. A comprehensive parametric analysis is carried out to determine the seismic performance factors of the RWMF systems under near-fault trigonometric pulse excitation. The horizontal displacement of the RWMF system is compared with that of MF structures without RRW, revealing the damping effect of the RRW. Frame displacement spectra excited by trigonometric pulses and recorded earthquake ground motions are constructed. The effects of pulse type, mass ratio, frame stiffness, and wall slenderness variations on the displacement spectra are presented. The paper shows that the coupling with a RRW has mixed results on suppressing the maximum displacement response of the frame.

소량의 기포를 함유한 이상유체 내에서의 압력파의 전파현상 (Pressure Wave Propagation Phenomena in Water Containing Uniformly Distributed Gas Bubbles)

  • 김동혁
    • 한국음향학회지
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    • 제8권1호
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    • pp.23-30
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    • 1989
  • 기포 혼합 유체 내에서의 압력파의 전파 현상을 수치해석으로 연구한다. 혼합 유체 영역을 지배하는 지배 방정식을 heuristic 한 방법으로 유도하고 기포 내부 영역에는 열전달 효과를 고려할 수 있도록 에너지 방정식을 도입한다. 기포 내부의 비등온 조건은 특히 기포가 고진폭을 가지고 진동할 때 매우 중요하다. 기포 역학 방정식으로서 Keller 방정식이 채택, 변형되어 기포 외부와 내부의 coupling을 맺어준다. 실제 문제로서 충격관내 충격파의 전파 현상을 수치해석 방법으로 해석한 결과가 Noordzij 및 van Wijngaarden 의 실험 결과와 거의 일치한다. 그러나 그들에 의해 설명된 충격파 구조의 변화 원인은 가스와 액체 간의 상대 운동인데 이는 본 모델에서 고려되지 않았기 때문에 가스와 액체 간의 열전달에 의해 충격파의 구조가 변화된다고 보는 것이 타당하다.

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Numerical simulation for unsteady flow over marine current turbine rotors

  • Hassanzadeh, A. Reza;Yaakob, Omar bin;Ahmed, Yasser M.;Ismail, M. Arif
    • Wind and Structures
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    • 제23권4호
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    • pp.301-311
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    • 2016
  • The numerous benefits of Savonius turbine such as simple in structure, has appropriate self-start ability, relatively low operating velocity, water acceptance from any direction and low environmental impact have generated interests among researchers. However, it suffers from a lower efficiency compared to other types of water turbine. To improve its performance, parameters such flow pattern, pressure and velocity in different conditions must be analyzed. For this purpose, a detailed description on the flow field of various types of Savonius rotors is required. This article presents a numerical study on a nonlinear two-dimensional flow over a classic Savonius type rotor and a Benesh type rotor. In this experiment, sliding mesh was used for solving the motion of the bucket. The unsteady Reynolds averaged Navier-Stokes equations were solved for velocity and pressure coupling by using the SIMPLE (Semi-Implicit Method for Pressure linked Equations) algorithm. Other than that, the turbulence model using $k-{\varepsilon}$ standard obtained good results. This simulation demonstrated the method of the flow field characteristics, the behavior of velocity vectors and pressure distribution contours in and around the areas of the bucket.

Influence of Tether Length in the Response Behavior of Square Tension Leg Platform in Regular Waves

  • El-gamal, Amr R.;Essa, Ashraf
    • International Journal of Ocean System Engineering
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    • 제4권1호
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    • pp.19-28
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    • 2014
  • The tension leg platform (TLP) is a vertically moored structure with excess buoyancy. The TLP is regarded as moored structure in horizontal plan, while inherit stiffness of fixed platform in vertical plane. In this paper, a numerical study using modified Morison equation was carried out in the time domain to investigate the influence of nonlinearities due to hydrodynamic forces and the coupling effect between surge, sway, heave, roll, pitch and yaw degrees of freedom on the dynamic behavior of TLP's. The stiffness of the TLP was derived from a combination of hydrostatic restoring forces and restoring forces due to cables and the nonlinear equations of motion were solved utilizing Newmark's beta integration scheme. The effect of tethers length and wave characteristics such as wave period and wave height on the response of TLP's was evaluated. Only uni-directional waves in the surge direction was considered in the analysis. It was found that for short wave periods (i.e. 10 sec.), the surge response consisted of small amplitude oscillations about a displaced position that is significantly dependent on tether length, wave height; whereas for longer wave periods, the surge response showed high amplitude oscillations about that is significantly dependent on tether length.