• 제목/요약/키워드: Out-of-plane displacement

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알루미늄 폼 및 허니컴 샌드위치 복합재료의 압축실험에 관한 연구 (Study on Compression Tests of Aluminum Foam and Honeycomb Sandwich Composites)

  • 방승옥;김기선;김세환;송수구;조재웅
    • 한국산학기술학회논문지
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    • 제12권9호
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    • pp.3802-3807
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    • 2011
  • 본 연구에서는 알루미늄 폼 및 허니컴 샌드위치 복합재료의 면내 외 압축실험을 수행하였다. 실험을 통하여 하중-변위의 관계를 분석하고 압축 특성을 비교한다. 시험편은 만능재료시험기를 사용하여 1 mm/min로 압축을 하였다. 실험과정은 카메라로 촬영하고, 로드셀에서 나오는 데이터는 컴퓨터로 저장하였다. 실험결과를 보면 하중이 증가함에 따라 알루미늄 폼 및 허니컴 심재에 좌굴이 발생하였다. 면내 압축실험에서 알루미늄 폼 및 허니컴 샌드위치 시험편의 압축 최대하중은 비슷하였다. 그러나 비중을 고려하면 허니컴이 폼보다 압축 특성이 더 우수하다. 면외 압축실험에서도 알루미늄 허니컴 샌드위치 복합재료의 압축 최대하중이 알루미늄 폼 샌드위치 복합재료보다 높게 나왔다.

Discrete-Layer Model for Prediction of Free Edge Stresses in Laminated Composite Plates

  • Ahn, Jae-Seok;Woo, Kwang-Sung
    • 한국전산구조공학회논문집
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    • 제23권6호
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    • pp.615-626
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    • 2010
  • The discrete-layer model is proposed to analyze the edge-effect problem of laminates under extension and flexure. Based on three-dimensional elasticity theory, the displacement fields of each layer in a laminate have been treated discretely in terms of three displacement components across the thickness. The displacement fields at bottom and top surfaces within a layer are approximated by two-dimensional shape functions. Then two surfaces are connected by one-dimensional high order shape functions. Thus the p-convergent refinement on approximated one- and two-dimensional shape functions can be implemented independently of each other. The quality of present model is mostly determined by polynomial degrees of shape functions for given displacement fields. For nodal modes with physical meaning, the linear Lagrangian polynomials are considered. Additional modes without physical meaning, which are created by increasing nodeless degrees of shape functions, are derived from integrals of Legendre polynomials which have an orthogonality property. Also, it is assumed that mapping functions are linear in the light of shape of laminated plates. The results obtained by this proposed model are compared with those available in literatures. Especially, three-dimensional out-of-plane stresses in the interior and near the free edges are evaluated and convergence performance of the present model is established with the stress results.

Vibration analysis of laminated plates with various boundary conditions using extended Kantorovich method

  • Singhatanadgid, Pairod;Wetchayanon, Thanawut
    • Structural Engineering and Mechanics
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    • 제52권1호
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    • pp.115-136
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    • 2014
  • In this study, an extended Kantorovich method, employing multi-term displacement functions, is applied to analyze the vibration problem of symmetrically laminated plates with arbitrary boundary conditions. The vibration behaviors of laminated plates are determined based on the variational principle of total energy minimization and the iterative Kantorovich method. The out-of-plane displacement is represented in the form of a series of a sum of products of functions in x and y directions. With a known function in the x or y directions, the formulation for the variation of total potential energy is transformed to a set of governing equations and a set of boundary conditions. The equations and boundary conditions are then numerically solved for the natural frequency and vibration mode shape. The solutions are verified with available solutions from the literature and solutions from the Ritz and finite element analysis. In most cases, the natural frequencies compare very well with the reference solutions. The vibration mode shapes are also very well modeled using the multi-term assumed displacement function in the terms of a power series. With the method used in this study, it is possible to solve the angle-ply plate problem, where the Kantorovich method with single-term displacement function is ineffective.

내압과 굽힘하중을 받는 가스배관의 변형특성에 관한 연구 (A Study on the Deformation Characteristics of Gas Pipeline under Internal Pressure and In-Plane Bending Load)

  • 장윤찬;김익중;김철만;전법규;장성진;김영표
    • 한국압력기기공학회 논문집
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    • 제15권2호
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    • pp.50-57
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    • 2019
  • This paper investigates deformation characteristics of gas pipeline using the in-plane bending experiment and finite element analysis of a pipe bend. The effect of the bending angle and internal pressure on the deformation characteristics is analyzed. The pipe bend used in this study is API 5L X65 (out diameter: 20 inch) material with the thickness of 11.9 mm. The maximum load, displacement at maximum load, angle and local strain of 90° pipe bend are obtained from the in-plane bending experiment. Comparison between FE results and experimental data shows overall good agreements. In addition, the deformation characteristics of 22.5° and 45° pipe bend are calculated using the finite element analysis. As a result, the effect of the bend angle on the deformation characteristics is discussed.

중심위 교합에서 중심 교합으로 전위될 때의 변위량과 교합형태에 관한 비교 연구 (A COMPARATIVE STUDY OF THE AMOUNT OF DISPLACEMENT AND OCCLUSION FORMS IN THE CHANGE FROM CR TO CO)

  • 이재봉;신철호
    • 대한치과보철학회지
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    • 제45권1호
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    • pp.1-11
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    • 2007
  • Statement of problems: The concept of CR has also changed continuously.?In order to find out the factors that affect the centric slide, studies were carried out to compare the forms of wisdom teeth eruption, lateral movement, premature contact in CR, and anterior movement. Research and statistical methods were based on the report by the 1980 Korean dental association. Material and method: In our study, 403 dentists in their twenties and dentistry students who could understand CR and CO (and who did not receive occlusal, orthodontic treatment, without extreme caries and large prosthodontic care) were compared with the 25 year old results. A segment of line parallel to the upper incisor was marked on the lower incisor. When seen laterally, a line perpendicular to the occlusal plane was drawn on the foremost area of the upper incisor. This line was extended to the lower incisor and the two points (points at the lower and upper incisors) were used as reference points for the CO. After guiding the occlusion to the CR, two lines were marked by using the same method that was used for the CO. The point in which these lines meet became the reference point of CR occlusion Results and conclusions: Results of the experiment completed in 1980 show that all 307 research members had anterior-posterior and upper-lower displacement. Displacement measurements were $0.7{\pm}0.4mm$ for the anterior-posterior displacement, $0.99{\pm}0.50mm$ for the upper-lower displacement,0.18{\pm}0.31 mm for the lateral displacement, and $1.32{\pm}0.67mm$ for the total displacement. Results of the 2006 experiment show that all 409 research members had anterior-posterior and upper-lower displacement. The anterior-posterior displacement was $1.12{\pm}0.86mm$, the upper-lower displacement was $1.02{\pm}0.71mm$, the lateral displacement was $0.61{\pm}0.56mm$, and the total displacement was $1.80{\pm}0.99mm$. No specific differences were found between each group when comparing displacement according to the forms of wisdom teeth eruption. Since 1980, the percentage of unerupted teeth has increased from 35.16% (111/307 people) to 57.5% (236/409 people). Westernization of the Korean cranial form and intraoral structure has brought about these results. In our experiment, 26.7% (109/409 people) of the subjects were cuspid guided, while 7.3% (30/409 people) were mutually guided. No specific differences were found in the amount of displacement between the two groups. Only the subjects with anteriors coming in contact made up the largest percentage group (42.3%, 173/409 people) in our study. No specific differences were found between each group.

Investigating loading rate and fibre densities influence on SRG - concrete bond behaviour

  • Jahangir, Hashem;Esfahani, Mohammad Reza
    • Steel and Composite Structures
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    • 제34권6호
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    • pp.877-889
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    • 2020
  • This work features the outcomes of an empirical investigation into the characteristics of steel reinforced grout (SRG) composite - concrete interfaces. The parameters varied were loading rate, densities of steel fibres and types of load displacement responses or measurements (slip and machine grips). The following observations and results were derived from standard single-lap shear tests. Interfacial debonding of SRG - concrete joints is a function of both fracture of matrix along the bond interface and slippage of fibre. A change in the loading rate results in a variation in peak load (Pmax) and the correlative stress (σmax), slip and machine grips readings at measured peak load. Further analysis of load responses revealed that the behaviour of load responses is shaped by loading rate, fibre density as well as load response measurement variable. Notably, the out-of-plane displacement at peak load increased with increments in load rates and were independent of specimen fibre densities.

Multivariate adaptive regression splines model for reliability assessment of serviceability limit state of twin caverns

  • Zhang, Wengang;Goh, Anthony T.C.
    • Geomechanics and Engineering
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    • 제7권4호
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    • pp.431-458
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    • 2014
  • Construction of a new cavern close to an existing cavern will result in a modification of the state of stresses in a zone around the existing cavern as interaction between the twin caverns takes place. Extensive plane strain finite difference analyses were carried out to examine the deformations induced by excavation of underground twin caverns. From the numerical results, a fairly simple nonparametric regression algorithm known as multivariate adaptive regression splines (MARS) has been used to relate the maximum key point displacement and the percent strain to various parameters including the rock quality, the cavern geometry and the in situ stress. Probabilistic assessments on the serviceability limit state of twin caverns can be performed using the First-order reliability spreadsheet method (FORM) based on the built MARS model. Parametric studies indicate that the probability of failure $P_f$ increases as the coefficient of variation of Q increases, and $P_f$ decreases with the widening of the pillar.

A mesh-free analysis method of structural elements of engineering structures based on B-spline wavelet basis function

  • Chen, Jianping;Tang, Wenyong;Huang, Pengju;Xu, Li
    • Structural Engineering and Mechanics
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    • 제57권2호
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    • pp.281-294
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    • 2016
  • The paper is devoted to study a mesh-free analysis method of structural elements of engineering structures based on B-spline Wavelet Basis Function. First, by employing the moving-least square method and the weighted residual method to solve the structural displacement field, the control equations and the stiffness equations are obtained. And then constructs the displacement field of the structure by using the m-order B-spline wavelet basis function as a weight function. In the end, the paper selects the plane beam structure and the structure with opening hole to carry out numerical analysis of deformation and stress. The Finite Element Method calculation results are compared with the results of the method proposed, and the calculation results of the relative error norm is compared with Gauss weight function as weight function. Therefore, the clarification verified the validity and accuracy of the proposed method.

Ultimate strength of stiffened panels subjected to non-uniform thrust

  • Anyfantis, Konstantinos N.
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.325-342
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    • 2020
  • The current study is focused on the evaluation of the ultimate strength of stiffened panels found in ship hull structures that are subjected to combined uniaxial thrust, in-plane and out-of-plane bending moments. This loading condition, which is in general ignored when performing buckling checks, applies to representative control geometries (stiffener with attached plating) as a consequence of the linearly varying normal stresses along the ship's depth induced by the hull-girder vertical bending moment. The problem is generalized by introducing a non-uniform thrust described by a displacement ratio and rotation angle and by introducing the slenderness ratios, within the practical range of interest. The formed design space is explored through methods sourcing from Design of Experiments and by applying non-linear finite element procedures. Surrogate empirical models have been constructed through regression analysis and Response Surface Methods. An additional empirical model is provided to the literature for predicting the ultimate strength under uniaxial thrust. The numerical experimentation has shown that is a significant influence on the ultimate strength of stiffened panels as the thrust non-uniformity increases.

C0-type Reddy's theory for composite beams using FEM under thermal loads

  • Fan, Xiaoyan;Wu, Zhen
    • Structural Engineering and Mechanics
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    • 제57권3호
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    • pp.457-471
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    • 2016
  • To analyze laminated composite and sandwich beams under temperature loads, a $C^0$-type Reddy's beam theory considering transverse normal strain is proposed in this paper. Although transverse normal strain is taken into account, the number of unknowns is not increased. Moreover, the first derivatives of transverse displacement have been taken out from the in-plane displacement fields, so that the $C^0$ interpolation functions are only required for the finite element implementation. Based on the proposed model, a three-node beam element is presented for analysis of thermal responses. Numerical results show that the proposed model can accurately and efficiently analyze the thermoelastic problems of laminated composites.