• 제목/요약/키워드: Natural Vibration analysis

검색결과 1,935건 처리시간 0.028초

기하학적 비선형성을 고려한 유체를 수송하는 반원관의 면내운동에 대한 진동 해석 (Vibration Analysis for the In-plane Motions of a Semi-Circular Pipe Conveying Fluid Considering the Geometric Nonlinearity)

  • 정진태;정두한
    • 대한기계학회논문집A
    • /
    • 제28권12호
    • /
    • pp.2012-2018
    • /
    • 2004
  • The vibration of a semi-circular pipe conveying fluid is studied when the pipe is clamped at both ends. To consider the geometric nonlinearity, this study adopts the Lagrange strain theory for large deformation and the extensible dynamics based on the Euler-Bernoulli beam theory for slenderness assumption. By using the Hamilton principle, the non-linear partial differential equations are derived for the in-plane motions of the pipe, considering the fluid inertia forces as a kind of non-conservative forces. The linear and non-linear terms in the governing equations are compared with those in the previous study, and some significant differences are discussed. To investigate the dynamic characteristics of the system, the discretized equations of motion are derived from the Galerkin method. The natural frequencies varying with the flow velocity are computed from the two cases, which one is the linear problem and the other is the linearized problem in the neighborhood of the equilibrium position. Finally, the time responses at various flow velocities are directly computed by using the generalized-$\alpha$ method. From these results, we should consider the geometric nonlinearity to analyze dynamics of a semi-circular pipe conveying fluid more precisely.

양단(兩端)힌지 포물선(抛物線)아치의 자유진동(自由振動)에 관한 연구(研究) (Numerical Analysis of Free Vibration of Parabolic Arches with Hinged Ends)

  • 황학주;이병구
    • 대한토목학회논문집
    • /
    • 제4권1호
    • /
    • pp.69-77
    • /
    • 1984
  • 본(本) 연구(硏究)에서는 아치의 미소요소(微小要素)에 대한 평형방정식(平衡方程式)과 D'Alembert의 원리(原理)를 이용(利用)하여 포물선(抛物線)아치의 자유진동(自由振動)에 관한 미분방정식(微分方程式)을 유도(誘導)하였고, 이 미분방정식(微分方程式)을 Runge-Kutta 적분기법(積分技法)에 적용(適用)하여 수치해석(數値解析)할 수 있는 알고리듬을 개발(開發)하였고 이를 콤퓨터 프로그램화(化) 하였다. 수치해석예제(數値解析例題)로는 아치의 지간(支間)길이가 10m인 양단(兩端)힌지 아치를 택(擇)하였으며 수치해석(數値解析)의 결과(結果)를 분석(分析)하여 아치의 높이, 회전반경(回轉半徑) 및 회전관성(回轉慣性)이 포물선(抛物線)아치의 자유진동(自由振動)에 미치는 영향(影響)에 대하여 고찰(考察)하였다.

  • PDF

Free vibration behavior of viscoelastic annular plates using first order shear deformation theory

  • Moshir, Saeed Khadem;Eipakchi, Hamidreza;Sohani, Fatemeh
    • Structural Engineering and Mechanics
    • /
    • 제62권5호
    • /
    • pp.607-618
    • /
    • 2017
  • In this paper, an analytical procedure based on the perturbation technique is presented to study the free vibrations of annular viscoelastic plates by considering the first order shear deformation theory as the displacement field. The viscoelastic properties obey the standard linear solid model. The equations of motion are extracted for small deflection assumption using the Hamilton's principle. These equations which are a system of partial differential equations with variable coefficients are solved analytically with the perturbation technique. By using a new variable change, the governing equations are converted to equations with constant coefficients which have the analytical solution and they are appropriate especially to study the sensitivity analysis. Also the natural frequencies are calculated using the classical plate theory and finite elements method. A parametric study is performed and the effects of geometry, material and boundary conditions are investigated on the vibrational behavior of the plate. The results show that the first order shear deformation theory results is more closer than to the finite elements with respect to the classical plate theory for viscoelastic plate. The more results are summarized in conclusion section.

점진기능재료(FGM) 판의 휨, 진동 및 좌굴 해석 (Bending, Vibration and Buckling Analysis of Functionally Graded Material Plates)

  • 이원홍;한성천;박원태
    • 한국산학기술학회논문지
    • /
    • 제9권4호
    • /
    • pp.1043-1049
    • /
    • 2008
  • 본 논문에서는 Navier 방법을 이용한 점진기능재료 판의 정적 응답과 고유진동수 그리고 좌굴하중을 연구하였다. S 형상 함수를 이용한 세라믹과 금속의 체적요소의 변화에 따른 점진기능재료 판의 고유치 문제를 연구하였다. 점진기능재료 판의 면내 강성, 휨 강성 및 전단 강성의 수식은 등질 요소보다 복잡한 재료의 성질들로 결합되어 있다. 본 연구의 결과를 검증하기 위해 고전적 이론에 의한 직사각형 판의 결과를 제시하였다. 적층복합 구조 및 S 형상 점진기능재료 구조의 다양한 예제를 제시하였다. 해석결과는 참고문헌의 결고들과 잘 일치함을 알 수 있었다.

Experimental analysis of an asymmetric reinforced concrete bridge under vehicular loads

  • Thambiratnam, D.P.;Brameld, G.H.;Memory, T.J.
    • Structural Engineering and Mechanics
    • /
    • 제9권1호
    • /
    • pp.17-35
    • /
    • 2000
  • Dynamic response of a three span continuous bridge has been determined by full scale experiments on the bridge. In the experiments, a heavy vehicle was driven across the bridge at different speeds and along different lanes of travel and the strains were recorded at different locations. The bridge was made of reinforced concrete and was asymmetric in plan and in elevation. Frequencies and modes of vibration excited by the vehicle were determined. The dependence of the dynamic amplification on bridge location and vehicle speed was investigated and dynamic amplifications up to 1.5 were recorded, which was higher than values predicted by bridge design codes. It was evident that when this asymmetric bridge was loaded by an asymmetric forcing function, higher modes, which are lateral and/or torsional in nature, were excited. Dynamic modulus of elasticity and the support stiffness influenced the natural frequencies of the bridge, which in turn influenced the dynamic amplifications. Larger than anticipated dynamic amplification factors and the excitation of lateral and/or torsional modes should be of interest and concern to bridge engineers.

Analysis of thermal and damage effects over structural modal parameters

  • Ortiz Morales, Fabricio A.;Cury, Alexandre A.
    • Structural Engineering and Mechanics
    • /
    • 제65권1호
    • /
    • pp.43-51
    • /
    • 2018
  • Structural modal parameters i.e. natural frequencies, damping ratios and mode shapes are dynamic features obtained either by measuring the vibration responses of a structure or by means of finite elements models. Over the past two decades, modal parameters have been used to detect damage in structures by observing its variations over time. However, such variations can also be caused by environmental factors such as humidity, wind and, more importantly, temperature. In so doing, the use of modal parameters as damage indicators can be seriously compromised if these effects are not properly tackled. Many researchers around the world have found numerous methods to mitigate the influence of such environmental factors from modal parameters and many advanced damage indicators have been developed and proposed to improve the reliability of structural health monitoring. In this paper, several vibration tests are performed on a simply supported steel beam subjected to different damage scenarios and temperature conditions, aiming to describe the variation in modal parameters due to temperature changes. Moreover, four statistical methodologies are proposed to identify damage. Results show a slightly linear decrease in the modal parameters due to temperature increase, although it is not possible to establish an empirical equation to describe this tendency.

마이크로 스피커 진동판의 형상설계에 따른 진동특성 고찰 (Investigation on Vibration Characteristics of Micro Speaker Diaphragms for Various Shape Designs)

  • 김경민;김성걸;박근
    • 한국정밀공학회지
    • /
    • 제30권8호
    • /
    • pp.790-796
    • /
    • 2013
  • Micro-speaker diaphragms play an important role in generating a desired audio response. The diaphragm is generally a circular membrane, and the cross section is a double dome, with an inner dome and an outer dome. To improve the sound quality of the speaker, a number of corrugations may be included in the outer dome region. In this study, the role of these corrugations is investigated using two kinds of finite element method (FEM) calculations. Structural FEM modeling was carried out to investigate the change in stiffness of the diaphragm when the corrugations were included. Modal FEM modeling was then carried out to compare the natural frequencies and the resulting vibrational modes of the plain and corrugated diaphragms. The effects of the corrugations on the vibration characteristics of the diaphragm are discussed.

부구조물 합성법을 이용한 접는 미사일 조종날개 모델 수립 (Model Establishment of a Deployable Missile Control Fin Using Substructure Synthesis Method)

  • 김대관;배재성;이인;한재흥
    • 한국소음진동공학회논문집
    • /
    • 제15권7호
    • /
    • pp.813-820
    • /
    • 2005
  • A deployable missile control fin has some structural nonlinearities because of the worn or loose hinges and the manufacturing tolerance. The structural nonlinearity cannot be eliminated completely, and exerts significant effects on the static and dynamic characteristics of the control fin. Thus, It is important to establish the accurate deployable missile control fin model. In the present study, the nonlinear dynamic model of 4he deployable missile control fin is developed using a substructure synthesis method. The deployable missile control fin can be subdivided Into two substructures represented by linear dynamic models and a nonlinear hinge with structural nonlinearities. The nonlinear hinge model is established by using a system identification method, and the substructure modes are improved using the Frequency Response Method. A substructure synthesis method Is expanded to couple the substructure models and the nonlinear hinge model, and the nonlinear dynamic model of the fin is developed. Finally, the established nonlinear dynamic model of the deployable missile control fin is verified by dynamic tests. The established model is In good agreement with test results, showing that the present approach is useful in aeroelastic stability analyses such as time-domain nonlinear flutter analysis.

소음/진동을 고려한 함포용 Synchro System의 다단 기어 구동장치 개발 (Development of the Multi-Gear Train Devices of Synchro System for the Guns of a Warship which Considered the Noise/Vibration)

  • 이형우;허남수;김인환;이동환
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제34권8호
    • /
    • pp.1057-1067
    • /
    • 2010
  • 다단 기어연쇄, 베어링, 축, 로터로 구성되는 함포용 synchro system의 구동장치를 개발하기 위하여, AGMA규격에 의한 기어 굽힘강도, 면압강도해석, 기어치형설계를 포함한 정적설계를 수행하였다. 또한 전달행렬법을 효과적으로 적용시킬 수 있는 Hibner's branch법과 자유도가 큰 경우에도 계산 오차 없이 고유특성치를 빠뜨리지 않고 산출할 수 있는 ${\lambda}$-matrix법을 도입하여 함포용 Synchro system의 좌우 선회용과 상하 고각형의 위험속도 해석 및 평가를 하였고, 운전속도 범위 내에 위험속도가 존재하지 않았다.

수중 노즐에서 발생하는 기포의 형상 및 음향 특성 연구 (Investigation on Shapes and Acoustic Characteristics of Air Bubbles Generated by an Underwater Nozzle)

  • 김종철;오준석;조대승
    • 한국소음진동공학회논문집
    • /
    • 제16권2호
    • /
    • pp.190-197
    • /
    • 2006
  • It is well known that the acoustic characteristics of the sea are significantly affected by bubbles which have their own inherent characteristics at the undersea. In this study, the shape and acoustic characteristics of air bubbles generated by an underwater nozzle are calculated numerically, and are measured with a high speed camera and a hydrophone at various air flow rates in the experimental apparatus. As a result of analysis, the shape calculated numerically well matched with measured values at low flow rates, but in case of relatively higher flow rates. the use of correction coefficient is needed for more accurate estimation of the bubble shape. And also the rising velocity of a single bubble is constant regardless of both the bubble size and the flow rate. and the acoustic signal generated when the bubble is produced by an underwater nozzle has the same characteristic of natural frequency of the bubble pulsation, and is agreed with Minnaert's equation if the correction coefficient is considered in accordance with the flow rate.