• Title/Summary/Keyword: Mass-Spring

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

  • Yang, Eui-Kyu;Kwon, Seon-Yong;Choi, Jung-In;Kim, Myoung-Mo
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.09a
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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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Stable Mass-Spring Model for Real-time Animation of Flexible Objects (비정형 물체의 실시간 애니메이션을 위한 안정적 질량-스프링 모델)

  • Gang, Yeong-Min;Jo, Hwan-Gyu;Park, Chan-Jong
    • Journal of the Korea Computer Graphics Society
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    • v.5 no.1
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    • pp.27-33
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    • 1999
  • In this paper, we propose an efficient technique for the animation of flexible thin objects. Mass-spring model was employed to represent the flexible objects. Till now, many techniques have used the mass-spring model to generate plausible animation of soft objects. A straight-forward approach to the animation with mass-spring model is explicit Euler method, but the explicit Euler method has serious disadvantage that it suffers from 'instability problem'. The implicit integration method is a possible solution to overcome the instability problem. However, the most critical flaw of the implicit method is that it involves a large linear system. This paper presents a fast animation technique for mass-spring model with approximated implicit method. The proposed technique stably updates the state of n mass-points in O(n) time when the number of total springs are O(n). We also consider the interaction of the flexible object and air in order to generate plausible results.

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

  • Hwang, Seon-Min;Song, Bok-Hee;Yun, Han-Kyung
    • The Journal of the Korea Contents Association
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    • v.11 no.9
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    • pp.1-8
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    • 2011
  • A fuzzy inference technique for real-time textile animation without integration at textile model based Mass-Spring model is introduced. Until now many techniques have used the Mass-Spring model to describe elastically deformable objects like textile. A textile object is able to represent as a deformable surface composed of spring and masses, the movement of textile surface which is analysed through the numerical integration by the fundamental law of dynamics such as Hooke's law. However, the integration methods have 'instability problems' if the explicit Euler's method is applied or 'large amounts of calculation' if the implicit Euler's method is applied. A simple and fast animation technique for Mass-Spring model of a textile with fuzzy inference is proposed. The stabilized simulation result is obtained the state of each mass-point in real-time for the n of mass-points by a relatively simple calculation.

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

  • Park, Kyung Su;Song, Seong Yeon;Shim, Ue Sup;Kim, Sun Tae
    • Analytical Science and Technology
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    • v.11 no.2
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    • pp.120-124
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    • 1998
  • A rapid and accurate determination method of ultra-trace amounts of germanium in spring water by ICP-MS has been developed. Mass number 74 was not only the best mass but also the smallest mass interference. Only 30% of water samples contain germanium more than $0.1{\mu}g/L$, and a few of them has organogermanium species.

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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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    • v.4 no.3
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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.

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

  • 류봉조;이규섭;이종원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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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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    • v.26 no.1
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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.

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

  • Kim, C.B;Han, D.H
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.12
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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.

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

  • 김광식;안찬우
    • Journal of Ocean Engineering and Technology
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    • v.2 no.1
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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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