• Title/Summary/Keyword: Fictitious Mass Method

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Dynamic responses of structures with sliding base

  • Tsai, Jiin-Song;Wang, Wen-Ching
    • Structural Engineering and Mechanics
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    • v.6 no.1
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    • pp.63-76
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    • 1998
  • This paper presents dynamic responses of structures with sliding base which limits the translation of external loads from ground excitation. A discrete element model based on the discontinuous deformation analysis method is proposed to study this sliding boundary problem. The sliding base is simulated using sets of fictitious contact springs along the sliding interface. The set of contact spring is to translate friction force from ground to superstructure. Validity of the proposed model is examined by the closed-form solutions of an idealized mass-spring structural model subjected to harmonic ground excitation. This model is also applied to a problem of a three-story structural model subjected to the ground excitation of 1940 El Centro earthquake. Analyses of both sliding-base and fixed-base conditions are performed as comparisons. This study shows that using this model can simulate the dynamic response of a sliding structure with frictional cut-off quite accurately. Results reveal that lowering the frictional coefficient of the sliding joint will reduce the peak responses. The structure responses in little deformation, but it displaces at the end of excitation.

A Simple Numerical Procedure for Assessing the Effect of Ground Improvement Around a Circular Tunnel Excavated in Mohr-Coulomb Rock Mass (Mohr-Coulomb 암반에 굴착된 원형터널의 보강효과 해석을 위한 간편 수치해석법)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.18 no.2
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    • pp.98-106
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    • 2008
  • When a tunnel is excavated in a rock mass of poor condition, the adjacent zone of excavation surface may be reinforced by adopting the appropriate methods such as grouting and rock bolting. The reinforced effect can be evaluated by use of various numerical approaches, where the reinforcing elements may be expressed as distinct discretizations or smeared into the equivalent material properties. In this study, a simple numerical method, which can be classified as the latter approach, was developed for the elasto-plastic analysis of a circular tunnel. If a circular tunnel in a Mohr-Coulomb rock mass is reinforced to a finite thickness, the reinforced annulus may have different material properties from the in-situ rock mass. In the proposed elasto-plastic method for assessing the reinforcing effect, Lee & Pietruszczak (2007)'s method is applied to both the reinforced annulus and the outer insitu rock mass of the fictitious tunnel, and then two results are combined by enforcing the compatibility condition. The method were verified through comparing the results with the proposed method and the commercial finite difference code FLAC. When taking the variation of deformation modulus and strength parameters in the reinforced zone into account, the distributions of stress and radial displacement were much different from those obtained with the assumption of homogeneous rock mass.

Development of Thermal-Hydraulic-Mechanical Coupled Numerical Analysis Code for Complex Behavior in Jointed Rock Mass Based on Fracture Mechanics (균열 암반의 복합거동해석을 위한 열-수리-역학적으로 연계된 파괴역학 수치해석코드 개발)

  • Kim, Hyung-Mok;Park, Eui-Seob;Shen, Baotang;Synn, Joong-Ho;Kim, Taek-Kon;Lee, Seong-Cheol;Ko, Tae-Young;Lee, Hee-Suk;Lee, Jin-Moo
    • Tunnel and Underground Space
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    • v.21 no.1
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    • pp.66-81
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    • 2011
  • In this study, it was aimed to develop a thermal-hydraulic-mechanical coupled fracture mechanics code that models a fracture initiation, propagation and failure of underground rock mass due to thermal and hydraulic loadings. The development was based on a 2D FRACOD (Shen & Stephasson, 1993), and newly developed T-M and H-M coupled analysis modules were implemented into it. T-M coupling in FRACOD employed a fictitious heat source and time-marching method, and explicit iteration method was used in H-M coupling. The validity of developed coupled modules was verified by the comparison with the analytical result, and its applicability to the fracture initiation and propagation behavior due to temperature changes and hydraulic fracturing was confirmed by test simulations.

An Estimation of Modeling Uncertainty for a Mechanical System in Actuators and Links in a Rigid Manipulator Using Control Theory (시스템 모델링의 불확실성 추정과 보상)

  • Park, Rai-Wung;Cho, Sul
    • 대한공업교육학회지
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    • v.34 no.2
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    • pp.396-410
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    • 2009
  • The goal of this work is to present an advanced method of an estimation of the Modeling Uncertainties coming up in industrial rigid robot's manipulator and actuators. First, with the given physical robot model, the motion equation was derived. Considering a fictitious model, a new extended motion equation is developed. Based on this extended model, an observer and observer bank are designed for the estimation of modeling uncertainties which are involving the effects of gravity, friction, mass unbalance, and Coriolis which show the nonlinear characteristics in operation states.

Multiscale Wavelet-Galerkin Method in General Two-Dimensional Problems (일반 형상의 2차원 영역에서의 멀티스케일 웨이블렛-갤러킨 기법)

  • Kim, Yun-Yeong;Jang, Gang-Won;Kim, Jae-Eun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.5
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    • pp.939-951
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    • 2002
  • We propose a new multiscale Galerkin method based on interpolation wavelets for two-dimensional Poisson's and plane elasticity problems. The major contributions of the present work are: 1) full multiresolution numerical analysis is carried out, 2) general boundaries are handled by a fictitious domain method without using a penalty term or the Lagrange multiplier, 3) no special integration rule is necessary unlike in the (bi-)orthogonal wavelet-based methods, and 4) an efficient adaptive scheme is easy to incorporate. Several benchmark-type problems are considered to show the effectiveness and the potentials of the present approach. is 1-2m/s and impact deformation of the electrode depends on the strain rate at that velocity, the dynamic behavior of the sinter-forged Cu-Cr is a key to investigate the impact characteristics of the electrodes. The dynamic response of the material at the high strain rate is obtained from the split Hopkinson pressure bar test using disc-type specimens. Experimental results from both quasi-static and dynamic compressive tests are Interpolated to construct the Johnson-Cook model as the constitutive relation that should be applied to simulation of the dynamic behavior of the electrodes. The impact characteristics of a vacuum interrupter are investigated with computer simulations by changing the value of five parameters such as the initial velocity of a movable electrode, the added mass of a movable electrode, the wipe spring constant, initial offset of a wipe spring and the virtual fixed spring constant.

Nonlinear Aeroelastic Analysis of a Wing with Control Surface Freeplay in Subsonic/Transonic Regions (조종면 유격이 있는 날개의 아음속 및 천음속에서의 비선형 공탄성 해석)

  • Kim, Kyung-Seok;Kim, Jong-Yun;Yoo, Jae-Han;Bae, Jae-Sung;Lee, In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.4
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    • pp.295-301
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    • 2007
  • The aeroelastic characteristics of a wing with control surface freeplay are investigated. The transonic small disturbance equation is used for unsteady aerodynamic forces in subsonic/transonic region. The fictitious mass method is introduced to apply a modal approach to nonlinear structural models. Nonlinear aeroelastic time responses are calculated by the coupled time integration method. Using these methods, an efficient aeroelastic analysis is achieved for aerodynamic and structural nonlinearities simultaneously. The effects of the aerodynamic nonlinearity, initial flap amplitude, and freeplay magnitude in aeroelastic characteristics are investigated in this study.