• Title/Summary/Keyword: Lagrangian dynamics

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Numerical modelling for evaluating the TMD performance in an industrial chimney

  • Iban, A.L.;Brownjohn, J.M.W.;Belver, A.V.;Lopez-Reyes, P.M.;Koo, K.
    • Wind and Structures
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    • v.17 no.3
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    • pp.263-274
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    • 2013
  • A numerical technique for fluid-structure interaction, which is based on the finite element method (FEM) and computational fluid dynamics (CFD), was developed for application to an industrial chimney equipped with a pendulum tuned mass damper (TMD). In order to solve the structural problem, a one-dimensional beam model (Navier-Bernoulli) was considered and, for the dynamical problem, the standard second-order Newmark method was used. Navier-Stokes equations for incompressible flow are solved in several horizontal planes to determine the pressure in the boundary of the corresponding cross-section of the chimney. Forces per unit length were obtained by integrating the pressure and are introduced in the structure using standard FEM interpolation techniques. For the fluid problem, a fractional step scheme based on a second order pressure splitting has been used. In each fluid plane, the displacements have been taken into account considering an Arbitrary Lagrangian Eulerian approach. The stabilization of convection and diffusion terms is achieved by means of quasi-static orthogonal subscales. For each period of time, the fluid problem was solved and the geometry of the mesh of each fluid plane is updated according to the structure displacements. Using this technique, along-wind and across-wind effects have been properly explained. The method was applied to an industrial chimney in three scenarios (with or without TMD and for different damping values) and for two wind speeds, showing different responses.

Numerical Study of Particle Collection Performance of Electrostatic Precipitator Integrated with Double Skin Façade in Residential Buildings (주거건물용 이중외피 통합형 전기집진기의 미세먼지 집진성능 수치해석 평가)

  • Eom, Ye Seul;Choi, Dong Hee;Kang, Dong Hwa
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.34 no.12
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    • pp.73-82
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    • 2018
  • The objective of this study was to evaluate particle collection performance of electrostatic precipitator (ESP) integrated with double skin façade in naturally ventilated residential buildings using numerical method. To evaluate the efficiency, computational fluid dynamics (CFD) simulation based on electric potential and Lagrangian method was applied. The CFD model was validated by comparing the simulated results with the experimental data including thermal characteristic of double skin façade (DSF) and particle removal characteristic of electrostatic precipitator. The validation results showed that the root mean square error (RMSE) between predicted values and measured values of velocity and temperature in intermediate space of DSF was 1.2%. The adequacy of ion space charge density and turbulent model were determined. The RMSE between predicted values and measured values of collection efficiency of ESP was 9.2%. In addition, the case study was performed to present the application of the numerical method based on validation results of ESP integrated with façade.

Effect of the Statistical Droplet Parcel on Numerical Simulation of Sprinkler Spray (스프링클러 분무 해석에 영향을 미치는 통계적액적군집의 영향)

  • Kim, Sung-Chan;Lee, Sang-Woo;Park, Won-Ju
    • Proceedings of the Korea Institute of Fire Science and Engineering Conference
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    • 2008.11a
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    • pp.363-370
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    • 2008
  • The present study has been performed to investigate the effect of statistical number of droplets on the simulation of the sprinkler spray using fire field model. In order to simulate the sprinkler spray characteristics, the present study uses NIST Fire Dynamics Simulator version 5.2. A group of Lagrangian particle with similar droplet characteristics, such as diameter, velocity, temperature and so on, is represented by parcel concept to decrease the total number of droplets tracked in the simulation. The present study introduces a new parameter to represent the ratio between real number of droplets and computational parcels. The dependency of the number of parcels on the fire suppression characteristics and spray patterns is quantitatively examined for different ratio between the real number of droplets and computational parcels.

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Nonlinear dynamic FE analysis of structures consisting of rigid and deformable parts -Part I - Formulation

  • Rojek, J.;Kleiber, M.
    • Structural Engineering and Mechanics
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    • v.2 no.4
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    • pp.313-326
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    • 1994
  • Some structures under the action of some specific loads can be treated as consisting of rigid and deformable parts. The paper presents a way to include rigid elements into a finite element model accounting for geometrical and material nonlinearities. Lagrange multipliers technique is used to derive equations of motion for the coupled deformable-rigid system. Solution algorithm based on the elimination of the Lagrangian multipliers and dependent kinematic unknowns at the element level is described. A follow-up paper(Rojek and Kleiber 1993) complements the discussion by giving details of the computer implementation and presenting some realistic test examples.

A Method of Segmentation and Tracking of a Moving Object in Moving Camera Circumstances using Active Contour Models and Optical Flow (Active contour와 Optical flow를 이용한 카메라가 움직이는 환경에서의 이동 물체의 검출과 추적)

  • 김완진;장대근;김회율
    • Proceedings of the IEEK Conference
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    • 2001.06d
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    • pp.89-92
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    • 2001
  • In this paper, we propose a new approach for tracking a moving object in moving image sequences using active contour models and optical flow. In our approach object segmentation is achieved by active contours, and object tracking is done by motion estimation based on optical flow. To get more dynamic characteristics, Lagrangian dynamics combined to the active contour models. For the optical flow computation, a method, which is based on Spatiotempo-ral Energy Models, is employed to perform robust tracking under poor environments. A prototype real tracking system has been developed and applied to a contents-based video retrieval systems.

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Numerical simulation of unsteady flow field behind bluff body (Bluffbody 비정상 유동장에 대한 수치해석)

  • Ryu, Myeong-Seok;Gang, Seong-Mo;Kim, Yong-Mo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.3
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    • pp.350-357
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    • 1997
  • The transient incompressible flow behind the axisymmetric bluff body is numerically simulated using the random vortex method(RVM). Based on the vorticity formulation of the unsteady Navier-Stokes equations, the Lagrangian approach with a stochastic simulation of diffusion using random walk technique is employed to account for the transport processes of the vortex elements. The numerical solutions for 2-dimensional recirculating flow behind a backward-facing step in the laminar range of Reynolds number are compared with experimental data. The present simulation focuses on the transitional flow regime where the recirculation zone behind the bluff body becomes highly unsteady and large-scale vortex eddies are shed from the bluff body wake due to intrinsic shear layer instabilities. The unsteady vertical flow structures and the mixing characteristics behind the bluff body are discussed in detail.

Balancing the Cubli Frame with LQR-controlled Reaction Wheel (반작용 휠의 LQR 제어를 통한 Cubli 프레임의 균형유지)

  • Kim, Yonghun;Park, Junmo;Han, Seungoh
    • Journal of Sensor Science and Technology
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    • v.27 no.3
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    • pp.165-169
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    • 2018
  • A single-axis Cubli frame realized simply with an IMU sensor and DC motor is presented herein. To maintain the balance on the Cubli frame, an LQR controller based on a Lagrangian derivation of the dynamics was designed, which utilized the state variables of the frame angle and its angular acceleration, as well as the wheel angle and its angular acceleration. The designed LQR controller showed a settling time balancing capability of approximately two seconds and 40% of the maximum overshoot in Matlab/Simulink simulations. Our experimental results of the fabricated Cubli frame matched with the simulation results. It maintained balancing at the reference position even though an initial offset as well as external disturbance during the balancing was applied.

Dynamics of Estuarine Circulation in Semi-closed Inner Bay (폐쇄성 내만에서의 Estuary순환의 중요성)

  • 김종인;류청로
    • Journal of Ocean Engineering and Technology
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    • v.15 no.4
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    • pp.34-45
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    • 2001
  • In the persent study, we conducted numerical experiments using a three-dimensional baroclinic equation model and a Lagrangian method for clarifying the hydrodynamics in Osaka Bay under the yearly mean discharge and visualizing the behaviour of particles of different settling velocity discharged from Yodo River and sedimentation pattern on the sea bottom. Particles are transported from the Yodo River to the south direction by the residual circulation of the bay head at the first stage, and after most of suspended solids particles are settled down at any layer and returned in the south-east coastal area through bottom layers by an estuarine circulation. The results show that estuarine circulation plays an important part of suspended solids transportation in the Osaka Bay.

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Vibration Control of Flexible SCARA Robots (유연한 수평 다관절 로봇의 진동제어)

  • 임승철;용대중
    • Journal of KSNVE
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    • v.7 no.3
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    • pp.387-392
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    • 1997
  • This paper concerns a SCARA robot with the flexible forearm linked to the rigid upper arm. The equations of motion are derived by the Lagrangian mechanics. For controller design, the perturbation approach is taken to separate the original equations of motion into linear equations describing small perturbed motions and nonlinear equations describing purely rigid motion of the robot. To effect the desired payload motion, open loop control inputs are determined based on the inverse dynamics of the latter. In order to reduce the positional error during maneuver, an active vibration suppression is done. To this end, a feedback control is designed for robustness against disturbance on the basis of the linear equations and the LQR theory modified to have a prescribed degree of stability. The proposed control scheme shows satisfactory performances in experiments as well as in numerical simulations.

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Biomimetic Balancing Mechanism for Walking Robot (생체모사를 통한 보행로봇의 균형감에 관한 연구)

  • Kim, Jong Jin;Chung, Seong Youb
    • Journal of Institute of Convergence Technology
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    • v.4 no.2
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    • pp.55-59
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    • 2014
  • A cat is able to quickly recover balance from unstable posture. To observe the balance recovery procedure of the cat, an impulse is applied to the cat while walking on a narrow bridge. We find that it rotates its tail toward the falling direction. In our previous research, the balance recovery procedure is analyzed based on the law of the angular momentum conservation and then a key equation is derived to maintain the balance. However, it did not consider the gravity, so the performance is not good. In this paper, a new dynamic model is proposed using the Lagrangian mechanics. In the method, the gravity is included in the potential energy. Through the proposed dynamic model, controlling the balance of a walking robot is possible.