• 제목/요약/키워드: Equivalent beam method

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차체 Side Key Section 을 이용한 등가빔 결합부 모델링 및 강성해석 (Equivalent Beam Joint Modeling and Vibration Analysis Using Vehicle Side Key Sections)

  • 성영석;임홍재;김기창
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 추계학술대회논문집
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    • pp.252-257
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    • 2006
  • Low vibration characteristics of a vehicle are mainly influenced by the local stiffness of the joint structure beam section. The method of substituting equivalent beam element to spring element for the joint is presented. Formation process of the equivalent beam joint modeling is described in terms of key section properties. To get required dynamic characteristics section properties of the equivalent beam element are set to design variables. The study shows that the equivalent beam joint model can be effectively used for low frequency vibration analysis of a vehicle.

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계단형 외팔보의 등가보 변환에 의한 기본고유진동수 해석 (Fundamental Natural Frequency Analysis of Stepped Cantilever Beams by Equivalent Beam Transformation Technique)

  • 문상필;홍순조
    • 한국전산구조공학회논문집
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    • 제21권4호
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    • pp.401-410
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    • 2008
  • 보의 고유진동수는 진동해석 뿐만 아니라 구조물의 동적특성을 파악하는데 중요한 역할을 한다 보의 단면이 불연속적으로 변하는 계단형 보의 고유진동수 해석은 복잡하다. 이런 계단형 보의 진동해석은 Rayleigh-Ritz법, FEM 등과 같은 근사해석법이 흔히 사용되는데 이들 해석의 정확성은 분할요소의 수, 계산의 반복수, 가정처짐곡선의 형상에 따라 좌우된다. 본 연구에서는 계단형 외팔보의 등가보 변환 방법을 이용한 기본고유진동수의 근사해석방법을 제시하고자 하였으며 여러 예제에 대하여 제안방법과 유한요소해석 결과를 비교하여 그 적용성과 신뢰성을 검증하였다.

결합부 등가빔을 이용한 저진동 차체의 모델링 및 해석기법 (Modeling and Vibration Analysis of Vehicle Structures Using Equivalent Beam Stiffness for Joints)

  • 임홍재;김윤영;이상범;송명의
    • 소음진동
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    • 제5권4호
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    • pp.537-542
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    • 1995
  • In this paper the method of modeling and optimization for the joint of the vehicle structure is proposed. First it is described that the method of substituting equivalent beam elements to spring elements for the joint. The stiffnesses of the spring elementsare calculated using the section properties of equivalent beam elements. To get required dynamic characteristics section properties of equivalent beam element are set to design variables and optimized. The study shows that joint stiffnesses can be effectively determined in designing vehicle structure.

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Simple method for static and dynamic analyses of guyed towers

  • Meshmesha, H.;Sennah, K.;Kennedy, J.B.
    • Structural Engineering and Mechanics
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    • 제23권6호
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    • pp.635-649
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    • 2006
  • The static and dynamic responses of guyed telecommunication towers can be determined by using two models, the space truss element model, and the equivalent beam-column element model. The equivalent beam-column analysis is based on the determination of the equivalent shear, torsion, and bending rigidities as well as the equivalent area of the guyed mast. In the literature, two methods are currently available to determine the equivalent properties of lattice structures, namely: the unit load method, and the energy approach. In this study, an equivalent beam-column analysis is introduced based on an equivalent thin plate approach for lattice structures. A finite-element modeling, using suitably modified ABAQUS software, is used to investigate the accuracy of utilizing the different proposed methods in determining the static and dynamic responses of a guyed tower of 364.5-meter high subjected to static and seismic loading conditions. The results from these analyses are compared to those obtained from a finite-element modeling of the actual structure using 3-D truss and beam elements. Good agreement is shown between the different proposed beam-column models, and the model of the actual structure. However, the proposed equivalent thin plate approach is simpler to apply than the other two approaches.

대칭단헝 단순보의 등가보 변환에 의한 고유치 해석 (Eigenvalue Analysis of Symmetrically Stepped Beams by Equivalent Beam Transformation)

  • 정재철;문상필
    • 한국전산구조공학회논문집
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    • 제19권1호
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    • pp.55-62
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    • 2006
  • 보의 고유진동수는 보의 동적해석에서 중요한 역할을 한다. 보의 단면이 불규칙적으로 변하는 단형보의 고유진동수 산정은 해석상 복잡하고 어렵다. 이런 단형보의 해석은 주로 다자유도계 해석인 질량집중방법이 널리 사용되지만 이들 해석방법은 요소의 분할수나 계산의 반복수 또는 가정처짐곡선의 정확성 여부에 해석의 정밀성이 좌우된다. 본 연구는 대칭단형 단순보의 등가보 변환 방법과 그에 따른 고유치해석 방법을 제시하였으며 타 문헌의 예제와 여러 모델을 대상으로 그 타당성 및 실용성을 입증하였다.

Estimation of Beam Mode Frequencies of Co-axial Cylinders Immersed in Fluid by Equivalent Mass Approach

  • Kim, Tae-Wan;Park, Suhn;Park, Keun-Bae
    • Nuclear Engineering and Technology
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    • 제35권1호
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    • pp.1-13
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    • 2003
  • In this study, an effective method to estimate the fundamental frequencies of co-axial cylinders immersed in fluid is proposed. The proposed method makes use of the equivalent mass or density that is derived from the added mass matrix caused by the fluid-structure interaction (FSI) phenomenon. The equivalent mass is defined from the added mass matrix based on a 2-D potential flow theory. The theory on two co-axial cylinders extended to the case of three cylinders. To prove the validity of the proposed method, the eigenvalue analyses upon coaxial cylinders coupled with fluid gaps are peformed using the equivalent mass. The analyses results upon various fluid gap is conditions reveal that the present method could provide accurate frequencies and be suitable for expecting the fundamental frequencies of fluid coupled cylinders in beam mode vibration.

자유도 저감법을 이용한 자동차 배기시스템의 벨로우즈 진동해석 (A Vibration Analysis Model for Bellows in the Vehicle Exhaust System Using Method of Reduced Degree of Freedom)

  • 심동혁;김대현;최명진
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 춘계학술대회논문집
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    • pp.304-308
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    • 2006
  • The focus of this study is modeling technique for a bellows in vehicle exhaust system. Bellows was developed using tile finite element model by replacing with the equivalent beam. The equivalent beam model were studied in detail. Non-structural node in the cross section of original model is given to expressing their motion. Equivalent mass matrix and stiffness matrix calculated using Guyan reduction method. Material Properties of beam was obtained from the direct comparison between equivalent model and that of Timoshenko beam model. The calculated natural frequencies and mode shape are compared with the reference results and coincided well. The results were compared with the confirmed results, which were in good agreement.

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Free vibration analysis of a uniform beam carrying multiple spring-mass systems with masses of the springs considered

  • Wu, Jia-Jang
    • Structural Engineering and Mechanics
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    • 제28권6호
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    • pp.659-676
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    • 2008
  • The reports regarding the free vibration analysis of uniform beams carrying single or multiple spring-mass systems are plenty, however, among which, those with inertia effect of the helical spring(s) considered are limited. In this paper, by taking the mass of the helical spring into consideration, the stiffness and mass matrices of a spring-mass system and an equivalent mass that may be used to replace the effect of a spring-mass system are derived. By means of the last element stiffness and mass matrices, the natural frequencies and mode shapes for a uniform cantilever beam carrying any number of springmass systems (or loaded beam) are determined using the conventional finite element method (FEM). Similarly, by means of the last equivalent mass, the natural frequencies and mode shapes of the same loaded beam are also determined using the presented equivalent mass method (EMM), where the cantilever beam elastically mounted by a number of lumped masses is replaced by the same beam rigidly attached by the same number of equivalent masses. Good agreement between the numerical results of FEM and those of EMM and/or those of the existing literature confirms the reliability of the presented approaches.

Box-Beam 형상 날개의 동적 등가연속체 모델링에 관한 연구 (Dynamic Equivalent Continuum Modeling of a Box-Beam Typed Wing)

  • 이우식;김영수
    • 대한기계학회논문집
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    • 제17권11호
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    • pp.2704-2710
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    • 1993
  • A simple and straightforward method is introduced for developing continuum beam-rod model of a box-beam typed aircraft wing with composite layered skin based on "energy equivalence." The equivalent continuum structral properties are obtained from the direct comparison of the reduced stiffness and mass matrices for box-beam typed wing with those for continuum beam-rod model. The stiffness and mass matrices are all represented in terms of the continuum degrees-of freedom defined in this paper. The finite-element method. The advantage of the present continuum method is to give every continuum structural properties including all possible coupling terms which represent the couplings between different deformations. To evaluate the continuum method developed in this paper, free vibration analyses for both continuum beam-rod and box-beam are conducted. Numerical tests show that the present continuum method gives very reliable structural and dynamic properties compared to the results by the conventional finite-element analysis. analysis.

A Study on Determination of Shear Center of Beam with Arbitrary Cross Section

  • Oh, Teak-Yul;Byun, Chang-Hwan;Known, Young-Ha
    • International Journal of Precision Engineering and Manufacturing
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    • 제4권4호
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    • pp.39-44
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    • 2003
  • It is important to find the shear center of beam with arbitrary cross-section in structures. In this study, it is introduced to determine the shear center that gets the equivalent stiffness matrix representing arbitrary cross section of beam and applies concepts of equivalent energy. This method shows the results of applying on examples that the exact and approximate solution of open and cross section of beam is known. The shear center of composite rotor blade by the experiment and by the suggested method was compared in this study.