• 제목/요약/키워드: spring mass

검색결과 910건 처리시간 0.026초

지진하중을 받는 말뚝 시스템의 고유 진동수 예측 (Prediction of the Natural Frequency of a Soil-Pile-Structure System during an earthquake)

  • 양의규;권선용;최정인;김명모
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2009년도 세계 도시지반공학 심포지엄
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    • pp.976-984
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    • 2009
  • This study proposes a simple method that uses a simple mass-spring model to predict the natural frequency of a soil-pile-structure system in sandy soil. This model includes a pair of matrixes, i.e., a mass matrix and a stiffness matrix. The mass matrix is comprised of the masses of the pile and superstructure, and the stiffness matrix is comprised of the stiffness of the pile and the spring coefficients between the pile and soil. The key issue in the evaluation of the natural frequency of a soil-pile system is the determination of the spring coefficient between the pile and soil. To determine the reasonable spring coefficient, subgrade reaction modulus, nonlinear p-y curves and elastic modulus of the soil were utilized. The location of the spring was also varied with consideration of the infinite depth of the pile. The natural frequencies calculated by using the mass-spring model were compared with those obtained from 1-g shaking table model pile tests. The comparison showed that the calculated natural frequencies match well with the results of the 1-g shaking table tests within the range of computational error when the three springs, whose coefficients were calculated using Reese's(1974) subgrade reaction modulus and Yang's (2009) dynamic p-y backbone curves, were located above the infinite depth of the pile.

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비정형 물체의 실시간 애니메이션을 위한 안정적 질량-스프링 모델 (Stable Mass-Spring Model for Real-time Animation of Flexible Objects)

  • 강영민;조환규;박찬종
    • 한국컴퓨터그래픽스학회논문지
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    • 제5권1호
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    • pp.27-33
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    • 1999
  • 본 논문은 유연한 비정형 물체의 애니메이션을 위한 효율적인 기법을 제안한다. 비정형 물체를 표현하기 위해 질량-스프링 모텔이 사용되었다. 지금까지 많은 기법들이 부드러운 객체의 사실적인 애니메이션을 생성하기 위해 질량-스프링 모델을 사용하였다. 질량-스프링 모텔의 애니메이션을 수행하기 위한 가장 손쉬운 접근법은 명시적 오일러 방법 (explicit Euler method)인데, 이 방법은 '불안정성 문제'라는 잘 알려진 문제가 발생한다는 단점을 가지고 있다. 이 불안정성 문제를 해결하기 위한 해법으로 암시적 적분법이 사용될 수 있다. 그러나, 이 암시적 방법의 가장 결정적인 약점은 대규모의 선행 시스템을 풀어야 한다는 것이다. 본 논문은 암시적 방법의 근사(approximation)를 이용하여 질량-스프링 모델을 빠른 시간에 애니메이션 할 수 있는 기법을 제시한다. 제안된 기법은 n 개의 질점이 O(n) 개의 스프링으로 연결되어 있을 때, 각 질점의 상태를 O(n) 시간에 안정적으로 갱신할 수 있다. 본 논문은 사실적인 결과를 위해 비정형 물체와 공기와의 상호 작용도 고려하였다.

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퍼지추론을 적용한 직물 애니메이션 (Real Time Textile Animation Using Fuzzy Inference)

  • 황선민;송복희;윤한경
    • 한국콘텐츠학회논문지
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    • 제11권9호
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    • pp.1-8
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    • 2011
  • 본 연구는 질량-스프링 모델 기반의 직물 모델에서 질점의 움직임을 분석하여 실시간 직물 애니메이션이 가능한 퍼지 추론 기법을 제안한다. 지금까지 직물과 같은 탄성체를 표현하기 위한 많은 기법들은 질량-스프링 모델을 사용하였다. 직물은 다수의 질량과 스프링의 조합으로 구성되어 변형 가능한 면을 이루게되고, 면의 움직임은 운동법칙을 기반으로 수치적분을 통해 계산될 수 있다. 제안된 방법과 동일한 직물구조에서 Explicit 오일러 방법은 ${\Delta}t$ > 0.01 일 경우 불안정성 문제가 나타났으며, Implicit 오일러 방법은 ${\Delta}t$ = 0.03 에서도 애니메이션이 생성되지만 많은 양의 선형 시스템을 계산해야 하는 단점을 가지고 있어서 실시간 처리에 부적합하다. 본 연구는 질량-스프링 모델에서 질점의 움직임을 계산하기 위하여 ${\Delta}t$ = 0.03을 가지면서도 실시간 처리가 가능한 방법을 제안한다.

ICP-MS에 의한 지하수 중의 Germanium 분석에 관한 연구 (Determination of Germanium in Spring Waters by Inductively Coupled Plasma Mass Spectrometry)

  • 박경수;송승연;심의섭;김선태
    • 분석과학
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    • 제11권2호
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    • pp.120-124
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    • 1998
  • 지하수 중의 극미량 germanium을 ICP-MS로 신속, 정확하게 분석할 수 있었으며 질량수 74를 분석하는 것이 가장 방해영향이 적음을 알 수 있었다. 지하수 중의 약 30%만이 $0.1{\mu}g/L$ 이상의 germanium을 함유하였고, 유기 germanium을 포함하는 지하수의 존재도 확인하였다.

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Estimation of viscous and Coulomb damping from free-vibration data by a least-squares curve-fitting analysis

  • Slemp, Wesley C.H.;Hallauer, William L. Jr.;Kapania, Rakesh K.
    • Smart Structures and Systems
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    • 제4권3호
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    • pp.279-290
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    • 2008
  • The modeling and parameter estimation of a damped one-degree-of-freedom mass-spring system is examined. This paper presents a method for estimating the system parameters (damping coefficients and natural frequency) from measured free-vibration motion of a system that is modeled to include both subcritical viscous damping and kinetic Coulomb friction. The method applies a commercially available least-squares curve-fitting software function to fit the known solution of the equations of motion to the measured response. The method was tested through numerical simulation, and it was applied to experimental data collected from a laboratory mass-spring apparatus. The mass of this apparatus translates on linear bearings, which are the primary source of light inherent damping. Results indicate that the curve-fitting method is effective and accurate for both perfect and noisy measurements from a lightly damped mass-spring system.

안내질량을 갖는 탄성지지된 외팔보의 진동 특성 (Vibration Characteristics of a Cantilevercd Beam with a Guided Mass and an Elastic Spring Supports)

  • 류봉조;이규섭;이종원
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1994년도 추계학술대회 논문집
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    • pp.408-413
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    • 1994
  • The paper describes the vibration characteristics of the mechanical system consisting of a uniform cantilevered Timoshenko beam with a guided mass and an elastic spring supports. The free end of the beam does not rotate and the spring attatched to the guided mass is elastically restained against translation. The effect of magnitudes, rotary inertia and the size of the guided mass on the vibration characteristics is fully investigated by the numerical simulation using FEM and experiment. In order to verify the eigenvalue sensitivity for considered system, comparison exact solutions with FEM are conducted, and a good agreement between two solutions is also highlighted.

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Free vibration analysis of a Timoshenko beam carrying multiple spring-mass systems with the effects of shear deformation and rotary inertia

  • Wang, Jee-Ray;Liu, Tsung-Lung;Chen, Der-Wei
    • Structural Engineering and Mechanics
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    • 제26권1호
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    • pp.1-14
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    • 2007
  • Because of complexity, the literature regarding the free vibration analysis of a Timoshenko beam carrying "multiple" spring-mass systems is rare, particular that regarding the "exact" solutions. As to the "exact" solutions by further considering the joint terms of shear deformation and rotary inertia in the differential equation of motion of a Timoshenko beam carrying multiple concentrated attachments, the information concerned is not found yet. This is the reason why this paper aims at studying the natural frequencies and mode shapes of a uniform Timoshenko beam carrying multiple intermediate spring-mass systems using an exact as well as a numerical assembly method. Since the shear deformation and rotary inertia terms are dependent on the slenderness ratio of the beam, the shear coefficient of the cross-section, the total number of attachments and the support conditions of the beam, the individual and/or combined effects of these factors on the result are investigated in details. Numerical results reveal that the effect of the shear deformation and rotary inertia joint terms on the lowest five natural frequencies of the combined vibrating system is somehow complicated.

회전원판과 스프링-댐퍼를 가진 질점계의 상호작용에 의한 불안정성 (Instability caused by interaction between a rotating disk and a mass-spring-damper system)

  • 김창부;한덕호
    • 대한기계학회논문집A
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    • 제21권12호
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    • pp.2038-2046
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    • 1997
  • In this paper the instability of the system which has a disk and a mass-spring-damper system interacting through a medium having stiffness and damping is analyzed. To solve the equations of motion of this systme, it is assumed that the solution consists of the eigenfunctions which are the products of the Bessel functions and sine or cosine functions. The former represents the radial characteristics of the disk and the latter represents the circumferential characteristics. Using this assumed solution and the orthogonality of the eigenfunctions, the equations of motion can be transformed into a set of equations of motion with variables dependent only on the time. After this set is changed to the state equation, the eigenvalue problem can be made. Once the eigenvalues are calculated according to the angular velocity of the disk, the dynamic characteristics ofthis system is obtained. Because the thickness of the disk and the element characteristics of the mass-spring-damper system have important effects on the stability of the system, it will be understood how these factors affect the system and then a method to ameliorate the stability of the system with a disk will be presented.

코일스프링과 오일댐퍼를 가지는 동흡진기의 특성에 관한 연구 (A Study on the Characteristics of Dynamic Vibration Absorber with Coil Spring and Oil Damper)

  • 김광식;안찬우
    • 한국해양공학회지
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    • 제2권1호
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    • pp.170-175
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    • 1988
  • A study on the dynamic vibration absorber with coil spring and oil damper was carried out both theoretically and experimentally. A main mass is attached to a foundation using coil spring and oil damper. A harmonic motion was applied to the foundation. The effects of the dynamic vibration sbsorber are theoretically summarized in graphs, and tested on a vibratory model for the isolation of actual mechanical vibration. As a result, the first resonance amplitude ratio increased and the second resonance amplitude ratio decreased as the absorber spring constant increased. When the absorber mass increase, the first resonance amplitude ratio is decreased and the second resonace amplitude ratio is increased.

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