• Title/Summary/Keyword: 등가강성

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Vibration Analysis of Laminated Composite Corrugated Plates (적층 복합재료 주름판의 진동해석)

  • Park, Kyung-Jo;Kim, Young-Wann
    • Composites Research
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    • v.29 no.6
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    • pp.347-352
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    • 2016
  • This work presents the free vibration characteristics of laminated composite corrugated rectangular plates using the analytical method. Because it is very difficult to determine its mechanical behavior of 3-dimensional corrugated structures analytically, the equivalent homogenization model is adapted to investigate the overall mechanical behavior of corrugated structures. The corrugated element can be homogenized as an orthotropic material. Both the effective extensional and flexural stiffness of this homogenized equivalent orthotropic material are considered in the analysis. The present analytical results are validated by those obtained from 3D finite element analysis based on shell elements. The natural frequencies and global vibration mode shapes obtained from present analytical and finite element analysis are presented. Some numerical results are presented to check the effect of the geometric properties.

Study on the General Theory of Stiffened Plates (補剛平板의 一般理論 硏究)

  • 김천욱;원종진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.2
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    • pp.287-295
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    • 1987
  • The general equation of equilibrium is presented for a stiffened plate on which the stiffeners having rectangular cross-sections are attached by one or both sides with arbitrarily angles. The principle of minimum potential energy is applied using the concept of adjusted-centroid to derive the equilibrium equation for the stiffened plate. Equivalent rigidities in the present theory are in good agreement with the experiments by the vibration method.

Estimation for Equivalent Flexural Stiffness of Innovative Prestressed Support(IPS) Wale (혁신적 프리스트레스트 가시설(IPS)의 띠장에 대한 등가 휨강성의 산정)

  • Kim, Sung Bo;Kim, Hun Kyom;Heo, In Sung
    • Journal of Korean Society of Steel Construction
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    • v.21 no.4
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    • pp.393-401
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    • 2009
  • The flexural-stiffness formula of the wale for the innovative prestressed support (IPS) system was precisely derived, and the equivalent beam stiffness was introduced for application in the actual design of the IPS wale. The cable tension forces of the IPS wale were calculated in both cases, and the axial-deformation effects were included and ignored, respectively. The central displacements of the 1-post, 2-post, 3-post, and 4-post IPS wales were calculated based on the principle of virtual work. The effects of the IPS wale length and cable inclination angle were also investigated using the derived central displacements. The simplified equivalent flexural stiffness of the IPS wale is presented herein for design purposes, and the validity of the proposed design formula was verified through its comparison with the FE and analysis solutions.

Modeling and Vibration Analysis of Vehicle Structures Using Equivalent Beam Stiffness for Joint (조인트 등가빔을 이용한 저진동 차체 모델링 및 해석기법)

  • 임홍재;김윤영;이상범;송명의
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.04a
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    • pp.40-44
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    • 1995
  • 본 논문에서는 결합부의 강성도를 나타내기 위해 그동안 사용되어 오던 기존의 스프링 모델을 사용하는 대신 등가빔 조인트 모델을 차체의 유한요소모델에 적용하여 보았으며 차체의 기본 진동 모드 해석을 통해 그 타당성을 검증하여 보았다. 특히 본 연구를 통해 차체 설계시 특정 결합부 강성도를 효율적으로 결정할 수 있는 방법의 개발이 가능해졌으며 그 방법의 개발을 위해 현재 계속 연구가 진행되고 있음을 밝힌다.

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An Experimental Study for the Shear Property Dependency of High Damping Rubber Bearings (고감쇠 고무받침의 전단특성 의존성에 대한 실험적 연구)

  • Oh, Ju;Jung, Hie-Young
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.2A
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    • pp.121-129
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    • 2010
  • In this paper, the characteristics of high damping rubber bearing were studied through various prototype test. The characteristics of HDRB were dependent on displacements, repeated cycles, frequencies, vertical pressure, temperature, the capability of shear deformation and the vertical stiffness. The prototype test showed that the displacement was the most governing factor influencing on characteristics of HDRB. The effective stiffness and equivalent damping of HDRB were decreased with displacement, and increased with frequency. The effective stiffness was decreased with high vertical pressure, while the equivalent damping was increased. In which, the equivalent damping was more dependent on the vertical pressure than the effective stiffness. According to the results of this study, more careful examination is required to design the effective stiffness and equivalent damping ratio considering the dependencies of design displacement and exciting velocity.

3차원 유한요소와 Hyperelement 연계에 의한 구형강체기초의 동적강성행렬

  • 진병무;김재관;장승필
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05d
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    • pp.398-403
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    • 1996
  • 이 논문에서는 지반과 기초를 일반적인 3차원 유한요소로 모델링하고, 유한요소의 바깥영역은 일반적인 모드의 축대칭 유한요소와 축대칭 Hyperelement를 사용하여 전달경계로 모델링하여, 유한요소와 전달경계의 경계에서 두 요소간의 연계에 의하여 기초에서의 동적강성행렬을 구한다. 이를 위하여 3차원 유한요소와 축대칭 요소간의 연계방법을 제안한다. 제시되는 기초의 동적강성행렬은 x,y,z방향의 병진성분과 x,y,z축에 관한 회전성분의 6자유도로 표현된다. 이 논문에서 사용한 3차원 유한요소와 축대칭 요소의 연계 방법의 검증을 위하여 구형기초와 등가의 강성을 갖는 강체원형기초의 동적강성행렬을 구하고 이를 비교하였다.

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Equivalent Stiffness Modeling of Isolators to Consider Wave Effects in Multi-dimensional Vibration Isolation Analysis, via Vibrational Power (진동파워를 이용한 다차원 진동절연계 해석시 절연요소의 파동효과를 고려한 등가강성화)

  • 최규상;이호정;김광준
    • Journal of KSNVE
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    • v.9 no.3
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    • pp.517-524
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    • 1999
  • Mathematical formulas for multi-dimensional isolation analysis via vibrational power transmission can be derived in a rather simple form when the wave effects of the isolators are completely neglected. With increase of frequency range of interest, however, the wave effects play a very important role and hence cannot be neglected. The formulas get involved accordingly. In this study, a method of equivalent stiffness modeling of the isolators to include the wave effects is proposed in such a way that not only the complexity of the mathematical expressions but also that of experiments of necessity can be reduced. This method is illustratively applied to a two-dimensional vibration isolation system with nonrigid source and base structures.

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Size Optimization of a Rod Using Frequency Response Functions of Substructures (부분 구조의 주파수 응답 함수를 이용한 봉의 치수 최적화)

  • Yoon, Hong Geun;Lee, Jin Woo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.10
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    • pp.905-913
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    • 2017
  • In this work, a method of size optimization is proposed to maximize the natural frequency of a rod that consists of a hidden shape in one part and an exposed shape in the other. The frequency response function of a rod composed of two parts is predicted by using the frequency response functions of each of the parts instead of the shapes of the parts. The mass and stiffness matrices of the rod are obtained by using the mass and stiffness matrices of the equivalent vibration systems, which are obtained by applying the experimental modal analysis method to the frequency response functions of the parts. Through several numerical examples, the frequency response function obtained by using the proposed method is compared with that of a rod to validate the prediction method based on equivalent vibration systems. A size optimization problem is formulated for maximizing the first natural frequency of a combined rod, which is replaced with an equivalent vibration system, and a rod structure is optimized by using an optimization algorithm.

A Efficient Vibration Analysis Method for the Cooncrete-Steel Deck Slab (콘크리트와 강제데크의 합성 바닥판의 실용적인 진동해석 방법)

  • Kim, Gee-Cheol
    • Journal of Korean Association for Spatial Structures
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    • v.5 no.4 s.18
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    • pp.91-100
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    • 2005
  • Composite slab structures consisted with steel deck plate and concrete material show generally anisotropic structural behavior because of different stiffness between the major direction and sub-direction of deck plate, and also the structures can be regarded as the laminated slab structures. It is necessary for the composite deck slab structures to carry out the exact vibration analysis to evaluate the serviceability. Also, it is needed to evaluate the exact structural behavior of composite deck slab with a layered orthotropic materials. In this paper, the thickness of topping concrete and deck plate are used to calculate the material coefficient stiffness of a sub-direction, and an equivalent depth calculated from sectional stiffness of concrete and deck plate is applied to get the stiffness of a major direction. The stiffness of two layered composite plates with different depth is determined by laminated theory. It is concluded that the presented method can efficiently analyze the structural behavior of composite deck slab consisted with steel deck plate and concrete material in the practical engineering field.

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Structural Analysis of the Aluminum Extrusion Plate with Truss-Core (트러스 코어 헝상을 갖는 알루미늄 압출재의 구조 해석)

  • 장창두;이병삼;하윤석;김호경;송하철;문형석
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.2
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    • pp.133-140
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    • 2003
  • The sandwich plate has been widely used as an efficient structural member because it has high strength-to-weight and high stiffness-to-weight ratios. To properly design the aluminum extrusion plate , it is necessary to analyze structural behaviors of the extrusions, however, the aluminum extrusions have been rarely studied until now. In the optimization process through numerous iterative calculations, finite element analysis of the sandwich plate with hollow core section requires a considerable amount of computation time and cost. In this paper, the aluminum extrusion plate with truss-core is transformed into an equivalent homogeneous orthotropic plate with appropriate elastic constants. The procedure to evaluate accurate equivalent elastic constants is also established. Using these elastic constants, simple theoretical formulas of the stresses and deflection are proposed in case of the simply-supported orthotropic thick plate under uniform pressure. Through the comparison with the results by commercial FEM code(ANSYS), it is verified that the proposed simpified formula has a good efficiency and accuracy.