• 제목/요약/키워드: Mass-spring system

검색결과 437건 처리시간 0.026초

암반의 경계조건을 고려한 절리면 직접전단시험기 개발 (Development of a New Direct Shear Apparatus Considering the Boundary Conditions of Rock Joints)

  • 이영휘;김용준
    • 한국지반공학회논문집
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    • 제19권2호
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    • pp.147-157
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    • 2003
  • 사면이나 터널과 같은 암반 구조물의 안정성에 영향을 미치는 절리면은 크게 절리면의 상태(돌기 강도, 충전재, 돌기 경사)와 주위 암반에 의해 구속되는 경계조건에 따라 지배된다. 본 연구에서는 암반 구조물에 작용하는 경계조건 과 절리상태에 따른 전단특성을 규명하기 위하여 PID 알고리즘에 의해 서보제어가 되는 절리면 전단시험 장비를 개발하였다. 그리고 돌기 경사가 일정한 톱니형 형상의 절리면에 대하여 일련의 실험을 수행하여 시험장비의 제어성능을 확인하고 사면이나 터널과 같이 경계조건이 다른 암반구조물에서는 전단강도 평가기법을 달리하여야 함을 알 수 있었다.

유도결합 플라스마 질량 분석법(ICP-MS)을 이용한 음용수 중의 전체 비소의 정량 (Determination of Total Arsenic in Drinking Water by Inductively Coupled Plasma-Mass Spectrometry)

  • 임유리;박경수;윤양희;김선태;정진호
    • 분석과학
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    • 제13권4호
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    • pp.423-427
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    • 2000
  • 유도결합 플라스마 질량 분석법(ICP-MS)을 이용하여 음용수 중의 전체비소를 정량하였다. 지하수 및 간이 상수도와 시판되는 먹는 물에 질산을 첨가하여 1%로 산성화한 후에 ICP-MS로 전제비소의 함량을 분석하였다. 그 결과 음용수 중의 전체 비소는 $30{\mu}g/L$ 이하로서 수질 기준치인 $50{\mu}g/L$ 이하의 값을 나타내었다.

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Dynamic analysis by impact load in viscoelastic sandwich plates with FRP layer utilizing numerical method

  • Bayati, Mohammad Reza;Mazaheri, Hamid;Bidgoli, Mahmood Rabani
    • Steel and Composite Structures
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    • 제43권2호
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    • pp.229-240
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    • 2022
  • The main objective of this work is presenting a mathematical model for the concrete slab with fiber reinforced polymer (FRP) layer under the impact load. Impacts are assumed to occur normally over the top slab and the interaction between the impactor and the structure is simulated using a new equivalent three-degree-of-freedom (TDOF) spring-mass-damper (SMD) model. The structure is assumed viscoelastic based on Kelvin-Voigt model. Based on the sinusoidal shear deformation theory (SSDT), energy method and Hamilton's principle, the motion equations are derived. Applying DQM, the dynamic deflection and contact force of the structure is calculated numerically so that the effects of mass, velocity and height of impactor, boundary conditions, FRP layer, structural damping and geometrical parameters of structure are shown on the dynamic deflection and contact force of system. Results show that considering structural damping leads to lower dynamic deflection and contact force. In addition, increasing the impact velocity of impactor yields to increases in the maximum contact force and deflection while the contact duration is decreased. The result shows that the contact force and the central deflection of the structure decreases and the contact time decreases with assuming FRP layer.

비선형 진동계 정규모드의 수치적 계산 연구 (Research on Numerical Calculation of Normal Modes in Nonlinear Vibrating Systems)

  • 이경현;한형석;박성호;전수홍
    • 한국소음진동공학회논문집
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    • 제26권7호
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    • pp.795-805
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    • 2016
  • Nonlinear normal modes(NNMs) is a branch of periodic solution of nonlinear dynamic systems. Determination of stable periodic solution is very important in many engineering applications since the stable periodic solution can be an attractor of such nonlinear systems. Periodic solutions of nonlinear system are usually calculated by perturbation methods and numerical methods. In this study, numerical method is used in order to calculate the NNMs. Iteration of the solution is presented by multiple shooting method and continuation of solution is presented by pseudo-arclength continuation method. The stability of the NNMs is analyzed using Floquet multipliers, and bifurcation points are calculated using indirect method. Proposed analyses are applied to two nonlinear numerical models. In the first numerical model nonlinear spring-mass system is analyzed. In the second numerical model Jeffcott rotor system which has unstable equilibria is analyzed. Numerical simulation results show that the multiple shooting method can be applied to self excited system as well as the typical nonlinear system with stable equilibria.

유전자 알고리즘을 이용한 SUSPENSION SEAT SYSTEM의 진동 승차감 최적화 (Vibration Ride Quality Optimization of a Suspension Seat System Using Genetic Algorithm)

  • 박선균;최영휴;최헌오;배병태
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.584-589
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    • 2001
  • This paper presents the dynamic parameter design optimization of a suspension seat system using the genetic algorithm. At first, an equivalent 1-D.O.F. mass-spring-damper model of a suspension seat system was constructed for the purpose of its vibration analysis. Vertical vibration response and transmissibility of the equivalent model due to base excitations, which are defined in the ISO's seat vibration test codes, were computed. Furthermore, seat vibration test, that is ISO's damping test, was carried out in order to investigate the validity of the equivalent suspension seat model. Both analytical and experimental results showed good agreement each other. For the design optimization, the acceleration transmissibility of the suspension seat model was adopted as an object function. A simple genetic algorithm was used to search the optimum values of the design variables, suspension stiffness and damping coefficient. Finally, vibration ride performance test results showed that the optimum suspension parameters gives the lowest vibration transmissibility. Accordingly the genetic algorithm and the equivalent suspension seat modelling can be successfully adopted in the vibration ride quality optimization of a suspension seat system.

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Simplified planar model for damage estimation of interlocked caisson system

  • Huynh, Thanh-Canh;Lee, So-Young;Kim, Jeong-Tae;Park, Woo-Sun;Han, Sang-Hun
    • Smart Structures and Systems
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    • 제12권3_4호
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    • pp.441-463
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    • 2013
  • In this paper, a simplified planar model is developed for damage estimation of interlocked caisson systems. Firstly, a conceptual dynamic model of the interlocked caisson system is designed on the basis of the characteristics of existing harbor caisson structures. A mass-spring-dashpot model allowing only the sway motion is formulated. To represent the condition of interlocking mechanisms, each caisson unit is connected to adjacent ones via springs and dashpots. Secondly, the accuracy of the planar model's vibration analysis is numerically evaluated on a 3-D FE model of the interlocked caisson system. Finally, the simplified planar model is employed for damage estimation in the interlocked caisson system. For localizing damaged caissons, a damage detection method based on modal strain energy is formulated for the caisson system.

지점 위에 질량과 강성이 큰 연결기를 갖는 다경간 보의 모드편재 (Mode Localization in Multispan Beams with Massive and Stiff Couplers on Supports)

  • Dong-Ok Kim;Sun-Kyu Park;In-Won Lee
    • 소음진동
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    • 제8권6호
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    • pp.1166-1171
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    • 1998
  • 본 연구에서는 이웃한 두 경간 사이에 있는 질량과 강성을 갖는 연결기가 모드편재에 미치는 영향을 해석적으로 분석하고 수치예제를 통해 그 결과를 검증하였다. 연결기의 강성이 구조물의 모든 고유모드를 모드편재에 민감하게 만드는 반면 연결기의 질량은 고차모드의 민감도를 심각히 증가시킨다. 또한 본 연구에서는 일부 고유모드에서 새로운 형태의 반편재현상을 관찰하였다. 반편재현상이 발생하는 모드에서는 경간 사이의 연성이 매우 약하고 구조 변화가 심각하게 발생하더라도 모드편재 현상이 발생하지 않거나 발생하더라도 매우 미약하게 나타난다. 해석적 분석에서는 연결기를 사이에 두고 있는 두개의 부구조물을 단순화 시킨 강성-질량 시스템을 대상으로 하였다. 수치예제에서는 중간 지점에 회전강성과 회전질량을 갖으며 단순지지된 이경간 연속보를 해석하였다.

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Free vibration analysis of combined system with variable cross section in tall buildings

  • Jahanshahia, Mohammad Reza;Rahgozar, Reza
    • Structural Engineering and Mechanics
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    • 제42권5호
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    • pp.715-728
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    • 2012
  • This paper deals with determining the fundamental frequency of tall buildings that consist of framed tube, shear core, belt truss and outrigger systems in which the framed tube and shear core vary in size along the height of the structure. The effect of belt truss and outrigger system is modeled as a concentrated rotational linear spring at the belt truss and outrigger system location. Many cantilevered tall structures can be treated as cantilevered beams with variable cross-section in free vibration analysis. In this paper, the continuous approach, in which a tall building is replaced by an idealized cantilever continuum representing the structural characteristics, is employed and by using energy method and Hamilton's variational principle, the governing equation for free vibration of tall building with variable distributed mass and stiffness is obtained. The general solution of governing equation is obtained by making appropriate selection for mass and stiffness distribution functions. By applying the separation of variables method for time and space, the governing partial differential equation of motion is reduced to an ordinary differential equation with variable coefficients with the assumption that the transverse displacement is harmonic. A power-series solution representing the mode shape function of tall building is used. Applying boundary conditions yields the boundary value problem; the frequency equation is established and solved through a numerical process to determine the natural frequencies. Computer program has been developed in Matlab (R2009b, Version 7.9.0.529, Mathworks Inc., California, USA). A numerical example has been solved to demonstrate the reliability of this method. The results of the proposed mathematical model give a good understanding of the structure's dynamic characteristics; it is easy to use, yet reasonably accurate and suitable for quick evaluations during the preliminary design stages.

타이어 압력 변화에 따른 1/4 MR 댐퍼 차량의 승차감 고찰 (Ride Comfort Investigation of 1/4 MR Damper Vehicle under Different Tire Pressure)

  • 맹영준;성민상;최승복;권오영
    • 한국소음진동공학회논문집
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    • 제21권12호
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    • pp.1159-1165
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    • 2011
  • This paper presents ride comfort characteristics of a quarter-vehicle magneto-rheological(MR) suspension system with respect to different tire pressure. As a first step, controllable MR damper is designed and modeled based on both the optimized damping force levels and mechanical dimensions required for a commercial full-size passenger vehicle. Then, a quarter-vehicle suspension system consisting of sprung mass, spring, tire and the MR damper is constructed. After deriving the equations of the motion for the proposed quarter-vehicle MR suspension system, vertical tire stiffness with respect to different tire pressure is experimentally identified. The skyhook controller is then implemented for the realization of the quarter-vehicle MR suspension system. Finally, the ride comfort analysis with respect to different tire pressure is undertaken in time domain. In addition, a comparative result between controlled and uncontrolled is provided by presenting vertical RMS displacement.

A New Approach for the Analysis Solution of Dynamic Systems Containing Fractional Derivative

  • Hong Dong-Pyo;Kim Young-Moon;Wang Ji Zeng
    • Journal of Mechanical Science and Technology
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    • 제20권5호
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    • pp.658-667
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    • 2006
  • Fractional derivative models, which are used to describe the viscoelastic behavior of material, have received considerable attention. Thus it is necessary to put forward the analysis solutions of dynamic systems containing a fractional derivative. Although previously reported such kind of fractional calculus-based constitutive models, it only handles the particularity of rational number in part, has great limitation by reason of only handling with particular rational number field. Simultaneously, the former study has great unreliability by reason of using the complementary error function which can't ensure uniform real number. In this paper, a new approach is proposed for an analytical scheme for dynamic system of a spring-mass-damper system of single-degree of freedom under general forcing conditions, whose damping is described by a fractional derivative of the order $0<{\alpha}<1$ which can be both irrational number and rational number. The new approach combines the fractional Green's function and Laplace transform of fractional derivative. Analytical examples of dynamic system under general forcing conditions obtained by means of this approach verify the feasibility very well with much higher reliability and universality.