• Title/Summary/Keyword: Equivalent Beam

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

  • Shim, Dong-Hyouk;Kim, Dae-Hyun;Choi, Myung-Jin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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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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Eigenvalue Analysis of Symmetrically Stepped Beams by Equivalent Beam Transformation (대칭단헝 단순보의 등가보 변환에 의한 고유치 해석)

  • Jung Jae-Chul;Moon Sang-Pil
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.1 s.71
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    • pp.55-62
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    • 2006
  • The natural frequency of a beam plays a critical role in the dynamic analysis of beams. Especially it is a complicated and difficult task to analyse the natural frequency of a stepped beam with an irregularly varying section. The lumped mass methods, multi-degree of freedom analyses, are mainly used for the analysis of this kind of stepped beams. The accuracy of these methods are determined by the number of the partitions of elements, the number of the iterations in calculation, and the accuracy of assumed mode shapes. This study presents a method of transformation from symmetrically stepped beams to an equivalent beam and a method of the eigenvalue analysis. Appropriateness and utility of this method are demonstrated by comparing examples from other literatures and various models.

Improved Equivalent Beam Element Modeling Technique for Large Scale Wind-Turbine Composite Blade (대형 풍력발전용 복합재료 블레이드의 개선된 등가 모델링 기법)

  • Kim, Dong-Hyun;Park, Hyo-Geun;Kim, Dong-Man
    • The KSFM Journal of Fluid Machinery
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    • v.11 no.4
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    • pp.32-37
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    • 2008
  • In this study, we have introduced an improved equivalent modeling technique for large scale composite wind-turbine blade. Conventional or general equivalent modeling procedure may give critical error in the analysis results because of geometric coupling effects. For the analyses of structural vibration and aeroelastic problems, the accuracy of equivalent structural models is very important since it can have high numerical efficiency and various practical applications. Three-dimensional realistic composite wind-turbine blade model is practically considered for numerical study. In order to validate the effect of the mass and the stiffness of the equivalent beam model, comparison study based on the natural vibration analysis has been conducted, and the accuracy levels of the conventional and modified equivalent modeling techniques are presented.

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

  • Choi, In-Sik;Ye, In-Ho
    • Journal of the Korean Society for Railway
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    • v.10 no.5
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    • pp.600-606
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    • 2007
  • 3D finite element analyses of a corrugated steel web girder and a steel truss web girder are conducted to investigate the static and dynamic behaviour of the hybrid girders. And the analyses results are compared with those by the equivalent beam theory. The equivalent theory is a theory that all section properties of a truss structure are replaced by section properties of a beam including a shear coefficient. When applying the equivalent beam theory, the shear coefficient of the corrugated steel web girder is estimated as the area ratio of flange section to web section and that of the steel truss web girder is calculated by the equation proposed by Abdel. Static deflections and natural frequencies by 3D finite element analyses and those by the equivalent beam theory are in good agreement.

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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    • v.4 no.4
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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.

Central angle effect on connection behavior of steel box beam-to-circular column

  • Hwang, Won-Sup;Kim, Young-Pil;Yoon, Tae-Yang
    • Structural Engineering and Mechanics
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    • v.32 no.4
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    • pp.531-547
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    • 2009
  • This paper presents the experimental results on the strength behavior and failure modes of box beam-to-circular column connections in steel piers. Previous research introduced parameters such as joint central angles, extension of horizontal stiffeners, and use of equivalent web depth, which ignored strength behavior and failure modes of box beam-to-circular column connections. The use of equivalent web depth $d_2$ is not reasonable when central angle ${\alpha}$ is closer to $90^{\circ}$; therefore, a monotonic loading test has been performed for eight connection specimens. From the test, it is identified that the connection with the circular column is stronger than the connection with the box-sectioned substitution column. Also, the strength of the beam-to-column connections with horizontal stiffeners is higher than the one of the no column stiffeners. The concrete-filled effect of box beam-to-circular column connection is also investigated, and the experimental yield strength of the connection is compared with the theoretical one. Also, more a reasonable equivalent web depth is suggested. The failure modes of connection are clearly defined.

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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    • v.35 no.1
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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.

Equivalent Vehicle Load Factors for Girder and Beam of Parking Garage Structure (주차장 구조물의 보와 거더의 등가차량 하중계수에 관한 연구)

  • 곽효경;송종영
    • Computational Structural Engineering
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    • v.10 no.3
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    • pp.203-216
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    • 1997
  • The Equivalent vehicle load factors of Beams and Girders on parking garage structure are proposed in this study. Without taking the sophisticated numerical analysis for the concentrated wheel loads, the design member forces of beam and girder can be easily calculated only with those for the distributed load by using the constructed relationships between the equivalent vehicle load factor and the length of member. Besides, the standard vehicle with total weight of 2.4ton is designed based on the review of many foreign design codes for parking garage and the investigation of small to medium vehicles made in Korea. Finally the efficiency and the reliability of the proposed equivalent vehicle load factors are demonstrated through the application of the typical beam and girder.

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Estimation of Equivalent Hydrodynamic Coefficients by Bean Permutation Technique (보치환법에 의한 등가 유체력계수 산정)

  • 박춘군
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.12 no.2
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    • pp.81-86
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    • 2000
  • For on-shore structures, dynamic analysis becomes increasingly important as the water depth increases and the structural configuration becoines slenderer. In this study, an estimation method for equivalent three dimensional (30) hydrodynamic coefficients is introduced as a part of beam permutation technique development. The beam pemlUtation technique is being developed for obtaining an equivalent beam to a frame structure in order to reduce the degrees of freedom and thus the analysis time significantly. Two 3D structures are used in order to verify the obtained equivalent 3D hydrodynamic coefficients. Two commercial softwares, ANSYS and SACS, are used for the verification. The results of the present analysis are found to be satisfactory in comparison with those by the two softwares.

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Research on rotation capacity of the new precast concrete assemble beam-column joints

  • Han, Chun;Li, Qingning;Wang, Xin;Jiang, Weishan;Li, Wei
    • Steel and Composite Structures
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    • v.22 no.3
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    • pp.613-625
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    • 2016
  • The joints of the new prefabricated concrete assemble beam-column joints are put together by the hybrid joints of inserting steel under post-tensioned and non-prestressed force and both beams and columns adopt prefabricated components. The low cyclic loading test has been performed on seven test specimens of beam-column joints. Based on the experimental result, the rotation capacity of the joints is studied and the $M-{\theta}$ relation curve is obtained. According to Eurocode 3: Design of steel structures and based on the initial rotational stiffness, the joints are divided into three types; by equivalent bending-resistant stiffness to the precast beam, the equivalent modulus of elasticity $E_e$ is elicited with the superposition method; the beam length is figured out that satisfies the rigid joints and after meeting the requirements of application and safety, the new prefabricated concrete assemble beam-column joints can be regarded as the rigid joints; the design formula adopted by the standard of concrete joint classification is theoretically derived, thereby providing a theoretical basis for the new prefabricated concrete structure.