• 제목/요약/키워드: Mode Superposition Method

검색결과 125건 처리시간 0.025초

On the eigenvalues of a uniform rectangular plate carrying any number of spring-damper-mass systems

  • Chen, Der-Wei
    • Structural Engineering and Mechanics
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    • 제16권3호
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    • pp.341-360
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    • 2003
  • The goal of this paper is to determine the eigenvalues of a uniform rectangular plate carrying any number of spring-damper-mass systems using an analytical-and-numerical-combined method (ANCM). To this end, a technique was presented to replace each "spring-damper-mass" system by a massless equivalent "spring-damper" system with the specified effective spring constant and effective damping coefficient. Then, the mode superposition approach was used to transform the partial differential equation of motion into the matrix equation, and the eigenvalues of the complete system were determined from the associated characteristic equation. To verify the reliability of the presented theory, all numerical results obtained from the ANCM were compared with those obtained from the conventional finite element method (FEM) and good agreement was achieved. Since the order of the property matrices for the equation of motion obtained from the ANCM is much lower than that obtained from the FEM, the CPU time required by the ANCM is much less than that by the FEM.

A natural frequency sensitivity-based stabilization in spectral stochastic finite element method for frequency response analysis

  • Lee, Gil-Yong;Jin, Seung-Seop;Park, Yong-Hwa
    • Structural Engineering and Mechanics
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    • 제75권3호
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    • pp.311-325
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    • 2020
  • In applying the spectral stochastic finite element methods to the frequency response analysis, the conventional methods are known to give unstable and inaccurate results near the natural frequencies. To address this issue, a new sensitivity based stabilized formulation for stochastic frequency response analysis is proposed in this paper. The main difference over the conventional spectral methods is that the polynomials of random variables are applied to both numerator and denominator in approximating the harmonic response solution. In order to reflect the resonance behavior of the structure, the denominator polynomials is constructed by utilizing the natural frequency sensitivity and the random mode superposition. The numerator is approximated by applying a polynomial chaos expansion, and its coefficients are obtained through the Galerkin or the spectral projection method. Through various numerical studies, it is seen that the proposed method improves accuracy, especially in the vicinities of structural natural frequencies compared to conventional spectral methods.

4절 링크 기구의 동적 변형 해석 (I) 유한 요소 해석 및 수치해 (Analysis of Dynamic Deformation of 4-Bar Linkage Mechanism (1) Finite Element Analysis and Numerical Solution)

  • 조선휘;박종근;이진
    • 대한기계학회논문집
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    • 제16권4호
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    • pp.737-752
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    • 1992
  • 본 연구에서는 링크를 여러개의 2절점 6자유도의 보 요소로 이상화하고 링크 의 운동을 평면 운동으로 한정하며 링크의 지지부의 강성은 무한대이고 회전 대우 부 분의 간극은 없는 것으로 가정하여 링크의 탄성 변형에 관한 운동 반정식을 유도하였 다. 즉, 변위법에 기초한 정적 변위 해석에 관한 유한 요소법에서 관성력, 중력 그 리고 외력을 외부 부하로 간주하여 동적인 운동 방정식을 유도하였다. 여기에, 회전 대우의 베어링을 선형 스프링으로 이상화하여 유연성 링크의 일부분으로 고려함으로써 베어링의 탄성 변형이 유연성 링크의 동적 변형에 미치는 영향에 대하여 고찰하였다. 베어링의 탄성 변형이 고려된 유연성 링크에 관한 운동 방정식을 모우드 중첩법에 근 거를 둔 수치해법으로 그 해를 구하였다.

모델차수축소법을 이용한 효율적인 진동해석 (Efficient Vibration Simulation Using Model Order Reduction)

  • 한정삼
    • 대한기계학회논문집A
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    • 제30권3호
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    • pp.310-317
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    • 2006
  • Currently most practical vibration and structural problems in automotive suspensions require the use of the finite element method to obtain their structural responses. When the finite element model has a very large number of degrees of freedom the harmonic and dynamic analyses are computationally too expensive to repeat within a feasible design process time. To alleviate the computational difficulty, this paper presents a moment-matching based model order reduction (MOR) which reduces the number of degrees of freedom of the original finite element model and speeds up the necessary simulations with the reduced-size models. The moment-matching model reduction via the Arnoldi process is performed directly to ANSYS finite element models by software mor4ansys. Among automotive suspension components, a knuckle is taken as an example to demonstrate the advantages of this approach for vibration simulation. The frequency and transient dynamic responses by the MOR are compared with those by the mode superposition method.

적외선 열화상 응력측정법에 의한 동적 응력집중계수 예측 (Estimation of Dynamic Stress Concentration Factor by Infrared Thermography Stress Analysis)

  • 최만용;강기수;박정학;안병욱;김경석
    • 한국정밀공학회지
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    • 제25권5호
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    • pp.77-81
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    • 2008
  • Structural components subjected to high frequency vibrations, such as those used in vibrating parts of gas turbine engines, are usually required to avoid resonance frequencies. Generally, the operating frequency is designed at more than resonance frequencies. When a vibrating structure starts or stops, the structure has to pass through a resonance frequency, which results in large stress concentration. This paper presents the transient thermoelastic stress analysis of vibrating cantilever beam using infrared thermography and finite element method (FEM). In FEM, stress concentration factor at the 2nd resonance vibration mode is calculated by the mode superposition method of ANSYS. In experiment, stress distributions are investigated with infrared thermography and dynamic stress concentration factor is estimated. Experimental result is agreed with FEM result within 10.6%. The advantage of this technique is a better immunity to contact problem and geometric limitation in stress analysis of small or micro structures.

유한요소법을 이용한 선체 국부 구조물의 진동인텐시티 해석 (Structural Intensity Analysis of Local Ship Structures Using Finite Element Method)

  • 이동환;조대승
    • 대한조선학회논문집
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    • 제38권3호
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    • pp.62-73
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    • 2001
  • 구조물의 진동인텐시티를 파악하면 진동에너지 전달경로와 소산기구 및 주된 기진원의 위치 등을 규명할 수 있어 구조물 진동의 효율적 저감 대책을 수립할 수 있다. 본 연구에서는 선박, 해양구조물 등과 같은 대형 복잡한 구조물의 진동인텐시티를 유한요소법으로 해석할 경우 적정한 모델링 기법을 마련하고자 선체의 기본 부재인 평판과 보강판에 대해 유한요소 모델링을 달리 하면서 진동인텐시티 해석을 수행하고, 그 결과를 고전적 근사해법인 assumed mode method에 의한 결과와 비교 검토하였다. 이로부터 유한요소법을 이용하여 판 구조물의 진동인텐시티 크기 및 방향을 정확하게 산정하기 위해서는 고유진동 또는 강제진동 해석의 경우보다 세밀한 유한요소 모델링이 요구되지만 진동에너지 전달경로 규명 등을 위한 정성적 해석은 강제진동해석을 정확하게 할 수 있는 정도의 유한요소 모델로도 가능함을 확인하였다. 아울러, 두께가 다른 평판 구조물, L-자형 판 구조물 및 3차원 box-girder에 대한 진동인텐시티 해석을 수행하여 다양한 선체 국부 구조물에 있어서의 진동에너지 전달 현상을 고찰하였다.

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파랑하중에 대한 Guyed Tower의 동적해석 (Dynamic Analysis of Guyed Tower Subjected to Wave Forces)

  • 류정선;윤정방
    • 대한토목학회논문집
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    • 제5권4호
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    • pp.87-94
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    • 1985
  • 본 논문에서는 최근에 개발된 심해용 구조물인 guyed tower 의 동력학적 해석방법과 이의 주요 설계인자인 guying system 의 강성 및 구조물기초부에서의 회전강성이 구조물의 거동에 미치는 영향에 대하여 연구하였다. 해석기법으로는 guying system 의 초기강성을 사용하여 구한 자유진동 모우드의 중첩법을 주로 고찰하였으며, 그 결과를 몇가지의 다른방법에 의한 결과와 비교검토하였다. 예제해석은 세계최초의 guyed tower 인 Lena tower 를 표준구조물로 택하여 수행되었다.

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합성형 사장교의 시공단계해석 및 시공관리 시스템 개발 (Development of Structural Analysis and Construction Management System for Composite Cable Stayed Bridges)

  • 서주원;박정일;김남식;심옥진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 가을 학술발표회 논문집
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    • pp.95-102
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    • 1994
  • This paper presents a Cable Stayed Bridge Construction Management System, which consists of Structural System Identification Method (SSIM), Error Sensitivity Analysis and Optimum Error Adjustment & Prediction System. The 1st System Identification Method builds an error influence matrix using the linear superposition of each error modes. The 2nd SSIM also considers the second error mode term, which shows good error factor estimation. The optimal cable adjustment can be accomplished within the allowable range of both cable tension and camber. The Post processor, constituted with Motif and GL library on SGI platform, is useful for monitoring construction stage management by displaying construction data, adjustment and prediction results at each construction step.

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굴삭기 작업장치의 해석시스템 개발 (Development of Simulation System for Front Attachment of Excavator)

  • 권순기;박형진;김형근
    • 대한기계학회논문집A
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    • 제20권5호
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    • pp.1401-1410
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    • 1996
  • This paper present a method to predict fatigue life of a construction equipment performing static stress analysis and dynamic stress analysis using the computer simulation for proto and pilot type model. The parameter of design variable is used for finite elemt modeling of a excavator. Desinger can design reliable product and shorten lead time by using "Simulation System for Front Attachment of Excavator" develped in this study.his study.

내부감쇠가 건성마찰력을 받는 공작기계의 안정성에 미치는 효과 (The Effect of an Internal Damping on the Stability of Machine Tool Engineers Subjected to Dry Friction Force)

  • 고준빈
    • 한국공작기계학회논문집
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    • 제13권2호
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    • pp.112-119
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    • 2004
  • This paper discussed on the effect of an internal damping on the stability of an elastic material subjected to dry friction force. Dry friction forces act tangentially at the contact surface between a moving belt and elastic material. The elastic material on a belt moving is modeled for simplicity into a cantilevered beam subjected to distributed follower force. In the analysis, the discretized equations derived according to finite element method are used. The impulse response of the beam are studied by the mode superposition method to observe the growth rate of the motion. It is found that the internal damping in cantilevered beam subjected to distributed follower force may act destabilizing.