• 제목/요약/키워드: Vibration Equation

검색결과 1,534건 처리시간 0.028초

强制 對稱 偏的 線型 振動子의 定常解 (Steady-State Solution of Forced Symmetric Piecewise-Linear Oscillator)

  • 최연선
    • 대한기계학회논문집
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    • 제13권4호
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    • pp.583-594
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    • 1989
  • 본 연구는 기계적 간극의 존재로 양면 접촉에 의한 강성 및 감쇠가 대칭적 으로 두번 생기는 강제 대칭 편적 선형(forced symmetric piecewise-linear vibarti- on)에 대하여 비선형진동의 분수조화 정상해 과정을 설명한 Stoker 가설로부터 분수조화진동을 포함한 복수의 정상해를 구하고 피로, 마멸 연구를 위한 접촉시간 및 접촉력을 계산하였다. 또한 강제 대칭 편적 선형진동자의 운동방정식을 무차원화 하고 각 무차원 시스템 변수에 따른 주파수응답특성을 살펴보았다.

Computational modeling of coupled fluid-structure systems with applications

  • Kerboua, Y.;Lakis, A.A.;Thomas, M.;Marcouiller, L.
    • Structural Engineering and Mechanics
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    • 제29권1호
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    • pp.91-111
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    • 2008
  • This paper outlines the development of a computational model in order to analyze the dynamic behaviour of coupled fluid-structure systems such as a) liquid containers, b) a set of parallel or radial plates. In this work a hybrid fluid-solid element is developed, capable of simulating both membrane and bending effects of the plate. The structural mass and stiffness matrices are determined using exact integration of governing equations which are derived using a combination of classical plate theory and a finite element approach. The Bernoulli equation and velocity potential function are used to describe the liquid pressure applied on the solid-fluid element. An impermeability condition assures a permanent contact at the fluid-structure interface. Applications of this model are presented for both parallel and radial plates as well as fluid-filled rectangular reservoir. The effect of physical parameters on the dynamic behaviour of a coupled fluid-structure system is investigated. The results obtained using the presented approach for dynamic characteristics such as natural frequency are in agreement to those calculated using other theories and experiments.

지진 하중을 받고 있는 회전축-베어링 시스템의 동적 거동에 관한 연구 (Dynamic response of rotor-bearing systems under seismic excitations)

  • 김기봉;김양한
    • 대한기계학회논문집
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    • 제12권5호
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    • pp.992-1002
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    • 1988
  • 본 연구에서는 Monte Carlo 새뮬레이션 기법을 이용하여 지반가속도의 스펙트 럼 밀도함수(power spectral densities)로부터 여섯 성분의 지반가속도 시간이력곡선 을 얻고, 이들을 입력 데이터로 하여 운동방정식에 Newmark의 직접적분법을 이용하여 회전축-베어링 시스템의 응답상태벡터(response state vector)를 얻기로 한다. 충분 히 많은 수의 지반가속도 시간이력곡선을 시뮬레이션하고, 각 경우에 대응하는 응답상 태벡터들을 얻은 다음 일반적인 통계학 방법을 적용하여 평균함수, 표준편차 및 r.m.s (root mean square)등을 얻는다.

Study on the propagation mechanism of stress wave in underground mining

  • Liu, Fei;Li, Lianghui
    • Computers and Concrete
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    • 제25권2호
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    • pp.145-154
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    • 2020
  • For the influence of the propagation law of stress wave at the coal-rock interface during the pre-blasting of the top coal in top coal mining, the ANSYS-LS/DYNA fluid-solid coupling algorithm was used to numerical calculation and the life-death element method was used to simulate the propagation of explosion cracks. The equation of the crushing zone and the fracturing zone were derived. The results were calculated and showed that the crushing radius is 14.6 cm and the fracturing radius is 35.8 cm. With the increase of the angles between the borehole and the coal-rock interface, the vibration velocity of the coal particles and the rock particles at the interface decreases gradually, and the transmission coefficient of the stress wave from the coal mass into the rock mass decreases gradually. When the angle between the borehole and the coal-rock interface is 0°, the overall crushing degree is about 11% and up to the largest. With the increase of the distance from the charge to the coal-rock interface, the stress wave transmission coefficient and the crushing degree of the coal-rock are gradually decreased. At the distance of 50 cm, the crushing degree of the coal-rock reached the maximum of approximately 12.3%.

등가보 이론을 이용한 복합 거더의 정적 및 자유진동 해석 (Static and Free Vibration Analyses of Hybrid Girders by the Equivalent Beam Theory)

  • 최인식;여인호
    • 한국철도학회논문집
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    • 제10권5호
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    • pp.600-606
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    • 2007
  • 복부 파형강판 거더와 복합 트러스 거더의 정적 및 동적거동 특성을 분석하기 위해 3차원 유한요소해석을 수행하였고, 이 결과를 등가보 이론에 의한 해석결과와 비교하였다. 등가보 이론은 트러스 구조의 모든 단면제원을 등가의 보로 치환함과 동시에 전단계수 등의 단면특성을 고려한 이론이다. 등가보 이론 적용 시 복부 파형강판 거더의 전단계수는 복부 단면적에 대한 전체 단면적의 비로 산정하였고, 복합 트러스 거더의 전단계수는 Abdel의 계산식을 사용하여 산정하였다. 정적해석 및 자유진동해석 결과 3차원 유한요소모델을 이용한 해석결과가 전단변형을 고려한 등가보 이론에 의한 해석결과와 잘 일치하였다.

기계 진동의 수동적 제어를 위한 동흡진기 설계인자 해석 (Design Parameter Analysis of a Dynamic Absorber for the Control of Machine Body Vibration)

  • 김기만;최성대
    • 한국기계가공학회지
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    • 제18권1호
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    • pp.1-8
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    • 2019
  • The optimal design parameters of a dynamic absorber (DA) in a machine body (that is considered as a rigid body) are discussed in this paper. The bounce and rotation motions of the rigid body have been controlled passively by a DA, which consists of a mass and a spring. The rigid body is subjected to a harmonically excited force and supported by linear springs at both ends. To define the motion of a rigid body with a DA, the equation of motion was expressed in the third-order matrix form. To define the optimal design conditions of a DA, the reduction of dynamic characteristics, represented by the amplitudes of bounce and rotation, and the transmitted powers, were evaluated and discussed. The level of reduction was found to be highly dependent on the location and spring stiffness of the DA.

Effectiveness of piezoelectric fiber reinforced composite laminate in active damping for smart structures

  • Chahar, Ravindra Singh;Ravi Kumar, B.
    • Steel and Composite Structures
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    • 제31권4호
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    • pp.387-396
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    • 2019
  • This paper deals with the effect of ply orientation and control gain on tip transverse displacement of functionally graded beam layer for both active constrained layer damping (ACLD) and passive constrained layer damping (PCLD) system. The functionally graded beam is taken as host beam with a bonded viscoelastic layer in ACLD beam system. Piezoelectric fiber reinforced composite (PFRC) laminate is a constraining layer which acts as actuator through the velocity feedback control system. A finite element model has been developed to study actuation of the smart beam system. Fractional order derivative constitutive model is used for the viscoelastic constitutive equation. The control voltage required for ACLD treatment for various symmetric ply stacking sequences is highest in case of longitudinal orientation of fibers of PFRC laminate over other ply stacking sequences. Performance of symmetric and anti-symmetric ply laminates on damping characteristics has been investigated for smart beam system using time and frequency response plots. Symmetric and anti-symmetric ply laminates significantly reduce the amplitude of the vibration over the longitudinal orientation of fibers of PFRC laminate. The analysis reveals that the PFRC laminate can be used effectively for developing very light weight smart structures.

진동형 볼피더의 가진력 해석과 적용 (Analysis of Excitation Force and its Application in Vibratory Bowl Feeders)

  • 오석규;배강열
    • 한국기계가공학회지
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    • 제19권11호
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    • pp.70-77
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    • 2020
  • Vibratory bowl feeders are widely utilized to align and feed the parts stacked inside the bowl of a feeder. The electro-magnetic force of the electromagnet in a bowl feeder generates the excitation force for the bowl to vibrate in both the horizontal and vertical directions to continuously feed the parts on the track. The feed rate of the part depends on the associated displacement in each direction during the vibration. Therefore, the excitation force induced by the electromagnet should be estimated in advance to ensure the suitable design of the bowl feeder. In this study, a theoretical solution was developed to calculate the electro-magnetic force of the electromagnet for a bowl feeder. Using the proposed solution, the electro-magnetic forces corresponding to a variation in the input parameters of the electromagnet, such as the voltage, frequency, and air gap, could be obtained. The force values obtained using the theoretical solution exhibited a satisfactory agreement with the results obtained using the finite element method, thereby demonstrating the validity of the approach. Subsequently, the bowl displacements were analyzed using the motion equation for the bowl feeder when the theoretically obtained excitation force were applied to vibrate the feeder. The correlation between the vertical displacements of the bowl and input parameters of the electromagnet could be obtained.

자속 포화에 의한 PMSM 센서리스 위치 추정 오차 분석 및 보상 기법 (Analysis of Estimated Position Error by Magnetic Saturation and Compensating Method for Sensorless Control of PMSM)

  • 박병준;구본관
    • 전기학회논문지
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    • 제68권3호
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    • pp.430-438
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    • 2019
  • For a pump or a compressor motor, a high periodic load torque variation is induced by the mechanical works, and it causes system vibration and noise. To minimize these problems, load torque compensation method, injecting periodic torque current, could be utilized. However, with the sensorless control method, which is usually utilized in the pump and compressor for low cost, the periodic torque current degrades the accuracy of the rotor position estimation owing to the inductance variation. This paper analyzes the rotor position and speed estimation error of sensorless control method with constant motor parameters under period loading. Assuming the constant speed by the accurate load torque compensation, the speed error equation is derived in frequency domain with inductance depending on the stator current. Further, it is also shown that the rotor position error could be minimized by compensating the inductance variation. The simulation and experimental results verify that the derived speed error model and the validity of the inductance compensation method.

Forced vibration of a functionally graded porous beam resting on viscoelastic foundation

  • Alnujaie, Ali;Akbas, Seref D.;Eltaher, Mohamed A.;Assie, Amr
    • Geomechanics and Engineering
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    • 제24권1호
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    • pp.91-103
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    • 2021
  • This paper concerns with forced dynamic response of thick functionally graded (FG) beam resting on viscoelastic foundation including porosity impacts. The dynamic point load is proposed to be triangle point loads in time domain. In current analysis the beam is assumed to be thick, therefore, the two-dimensional plane stress constitutive equation is proposed to govern the stress-strain relationship through the thickness. The porosity and void included in constituent is described by three different distribution models through the beam thickness. The governing equations are obtained by using Lagrange's equations and solved by finite element method. In frame of finite element analysis, twelve-node 2D plane element is exploited to discretize the space domain of beam. In the solution of the dynamic problem, Newmark average acceleration method is used. In the numerical results, effects of porosity coefficient, porosity distribution and foundation parameters on the dynamic responses of functionally graded viscoelastic beam are presented and discussed. The current model is efficient in many applications used porous FGM, such as aerospace, nuclear, power plane sheller, and marine structures.