• 제목/요약/키워드: non linear stability

검색결과 343건 처리시간 0.022초

Buckling analysis of partially embedded pile in elastic soil using differential transform method

  • Catal, Seval;Catal, Hikmet Huseyin
    • Structural Engineering and Mechanics
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    • 제24권2호
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    • pp.247-268
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    • 2006
  • The parts of pile, above the soil and embedded in the soil are called the first region and second region, respectively. The forth order differential equations of both region for critical buckling load of partially embedded pile with shear deformation are obtained using the small-displacement theory and Winkler hypothesis. It is assumed that the behavior of material of the pile is linear-elastic and that axial force along the pile length and modulus of subgrade reaction for the second region to be constant. Shear effect is included in the differential equations by considering shear deformation in the second derivative of the elastic curve function. Critical buckling loads of the pile are calculated for by differential transform method (DTM) and analytical method, results are given in tables and variation of critical buckling loads corresponding to relative stiffness of the pile are presented in graphs.

Dynamics of a rotating beam with flexible root and flexible hub

  • Al-Qaisia, A.A.
    • Structural Engineering and Mechanics
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    • 제30권4호
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    • pp.427-444
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    • 2008
  • A mathematical model for the nonlinear dynamics of a rotating beam with flexible root attached to a rotating hub with elastic foundation is developed. The model is developed based on the large planar and flexural deformation theory and the potential energy method to account for axial shortening due to bending deformation. In addition the exact nonlinear curvature is used in the system potential energy. The Lagrangian dynamics and the assumed mode method is used to derive the nonlinear coupled equations of motion hub rotation, beam tip deflection and hub horizontal and vertical displacements. The derived nonlinear model is simulated numerically and the results are presented and discussed for the effect of root flexibility, hub stiffness, torque type, torque period and excitation frequency and amplitude on the dynamic behavior of the rotating beam-hub and on its stability.

신경회로망을 이용한 틸트로터 항공기의 적응 비행제어기 설계 및 비행성 평가 (Neural Networks Based Adaptive Flight Controller Design and Handling Quality Evaluation for Tiltrotor Aircraft)

  • 이기영;김병수
    • 한국항공운항학회지
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    • 제21권3호
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    • pp.1-8
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    • 2013
  • An application of adaptive flight controller is required for the non-linear and high uncertain system that configuration of tiltrotor aircraft is dramatically changed from rotary wing mode to fixed wing mode. In this paper, the applicable adaptive controller for the tiltrotor aircraft was designed using Neural Networks and DMI (Dynamic Model Inversion). The performance of the SCAS (Stability and Control Augmentation System) was simulated against manned military specification, using the fullscale model of 'Smart UAV(Unmanned Aerial Vehicle)' developed by Korea Aerospace Research Institute. And Neural Networks based adaptive controller was verified through its whole operating envelope using the established HQ (Handling Quality) criteria.

다중격자 다중차원 기법을 응용한 캠과 종동물의 비정상 상태의 유막특성 연구 (Study on the Transient EHL Fluid Film for the Dynamic Contact Behaviors between Cam and Follower with Multigrid Multilevel Method)

  • 장시열
    • Tribology and Lubricants
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    • 제20권3호
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    • pp.132-139
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    • 2004
  • Many researches about the contacts between cam and follower have investigated EHL film thickness either without dynamic loading effect or only with curve fitting formula such as Dowson-Hamrock's, because including squeeze film effect makes it hard to obtain convergence and stability of computation. Therefore, inaccurate information about minimum film thickness without dynamic loading condition causes inappropriate design of cam profiles and wrong selection of cam and follower materials. In this work, computation tools both for kinematics and dynamics of valve train system of push-rod type and for fluid film thickness with elastic deformation on the basis of dynamic loading condition with multigrid multi-level method is developed. The computational results of minimum film thickness with the respects of both static and dynamic loading conditions are compared for the contact of flat follower over the entire cycle.

Retention Behavior of Transition Metal ions with Some Complexing Agents on Cation Exchanger

  • Park, Yang-Soon;Joe, Kih-Soo;Lee, Gae-Ho;Han, Sun-Ho;Eom, Tae-Yoon
    • Bulletin of the Korean Chemical Society
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    • 제14권6호
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    • pp.692-696
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    • 1993
  • Prediction of retention times in transition metal-mandelate and transition metal-tartrate complex systems were studied on the cation exchanger. Plots of k' vs [mandelate] and k' vs [tartrate] were obtained under the condition of a constant competing cation concentration. The equation to predict the retention time of transition metal ion was derived from the ion exchange equilibria. Individual capacity factors (${k_1}',\;{k_2}'$) and stability constants ($K_1,\;K_2$) of the complexes were calculated from the non-linear least square method. Good resolution of the transition metals was predicted by the stepwise equation in the gradient method. The values of retention times from the calculation and the experiment agreed well each other.

LQG modeling and GA control of structures subjected to earthquakes

  • Chen, ZY;Jiang, Rong;Wang, Ruei-Yuan;Chen, Timothy
    • Earthquakes and Structures
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    • 제22권4호
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    • pp.421-430
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    • 2022
  • This paper addresses the stochastic control problem of robots within the framework of parameter uncertainty and uncertain noise covariance. First of all, an open circle deterministic trajectory optimization issue is explained without knowing the unequivocal type of the dynamical framework. Then, a Linear Quadratic Gaussian (LQG) controller is intended for the ostensible trajectory-dependent linearized framework, to such an extent that robust hereditary NN robotic controller made out of the Kalman filter and the fuzzy controller is blended to ensure the asymptotic stability of the non-continuous controlled frameworks. Applicability and performance of the proposed algorithm shown through simulation results in the complex systems which are demonstrate the feasible to improve the performance by the proposed approach.

타타르(간관) 해협의 해류 (The Tartar (Mamiya) Strait Currents)

  • Ponomarev, Vladimir I.;Yurasov, Gennadiy I.
    • 한국해안해양공학회지
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    • 제6권4호
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    • pp.335-339
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    • 1994
  • 관측치와 모형 계산결과를 이용하여 Tartar 해협에서의 해류를 흐름 규모별로 분석하였으며, 조석현상과 일반적인 순환특성에 주안점을 두었다. 최대조류의 발생지점은 안정된 경계 흐름지역내에 위치함을 할 수 있었다. 다양한 기상조건 하에서의 흐름의 안정성과 소역에서의 에너지 집중은 바닥이 거친 지역에서 발생하는 조류의 비선형 효과로서 설명될 수 있다.

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견실한 비선형 마찰보상 이산제어 - 응용 (Robust Digital Nonlinear Friction Compensation-Application)

  • 강민식;송원길;김창재;이상국
    • 한국정밀공학회지
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    • 제14권5호
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    • pp.108-117
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    • 1997
  • To prove the stability and the effectiveness of the robust non-linear friction control suggested and proved analytically in the previous paper, the describing function analysis is introduced. The instability of the Southward's nonlinear friction compensation for a digital position control and the improvement of phase margin of the robust nonlinear friction compensation are verified qualitatively through the describing function analysis. Those controls are applied to a single-axis digital servo driving experimental setup which has inherent stick-slip friction and experimental results confirm the results obtained in and the effectiveness of the robust nonlinear friction compensation for a digital position control.

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일반화된 경계조건을 갖는 해저파이프라인의 동적 자유경간 결정 방법 (Determination of Dynamic Free Span Length for Subsea Pipelines with General Boundary Conditions)

  • 박한일
    • 한국해안해양공학회지
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    • 제13권4호
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    • pp.290-295
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    • 2001
  • 해저파이프라인은 부식. 지반 불안정, 앵커 충돌 등으로 인해 파손될 가능성이 있다. 해저파이프라인의 안정성을 위협하는 주된 요소중의 하나는 자유경간이다. 본 논문에서는 자유경간을 형성하고 있는 해저파이프라 인에 대해 축방향 하중을 고려하고 경계조건을 일반화시킨 경우에 대해 동적 자유경간의 허용길이 변화를 해석하였다. 자유경간 양단의 해저지반은 탄성기초로 간주하였으며, 이를 선형 및 회전 스프링으로 치환하여 경계조건을 일반화시켰다. 동적 자유경간의 길이를 산정할 수 있는 무차원화 된 곡선을 얻었다. 이 곡선은 자유경간을 갖는 해저파이프라인의 설계에 유용하게 작용될 수 있음을 보여 주었으며 예제 연구를 통하여 그 적용방법을 소개하였다.

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UKF 기반 2-자유도 진자 시스템의 파라미터 추정 (Parameter Estimation of 2-DOF System Based on Unscented Kalman Filter)

  • 승지훈;김태영;아티야 아미어;팔로스 알렉산더;정길도
    • 한국정밀공학회지
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    • 제29권10호
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    • pp.1128-1136
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    • 2012
  • In this paper, the states and parameters in a dynamic system are estimated by applying an Unscented Kalman Filter (UKF). The UKF is widely used in various fields such as sensor fusion, trajectory estimation, and learning of Neural Network weights. These estimations are necessary and important in determining the stability of a mobile system, monitoring, and predictions. However, conventional approaches are difficult to estimate based on the experimental data, due to properties of non-linearity and measurement noises. Therefore, in this paper, UKF is applied in estimating the states and parameters needed. An experimental dynamic system has been set up for obtaining data and the experimental data is collected for parameter estimation. The measurement noises are primarily reduced by applying the Low Pass Filter (LPF). Given the simulation results, the estimated error rate is 39 percent more efficient than the results obtained using the Least Square Method (LSM). Secondly, the estimated parameters have an average convergence period of four seconds.