• 제목/요약/키워드: finite-elements methods

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적응적 쉘유한요소를 이용한 박스형 구조물의 좌굴해석 (Buckling Analysis of Box-typed Structures using Adaptive Shell Finite Elements)

  • 송명관;김선훈
    • 한국전산구조공학회논문집
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    • 제20권3호
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    • pp.265-272
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    • 2007
  • 본 논문에서는 적응적 h-유한요소 세분화에 의한 박스형 절판 구조물의 선형좌굴 유한요소해석법을 제안한다. 면내회전 자유도를 갖는 변절점 평판쉘유한요소를 사용하여 유한요소의 거동을 개선하고 6자유도를 갖는 다른 유한요소와의 자유도의 연결을 용이하게 한다. 이와 같이 개발된 평판쉘유한요소에 의하여 박스형 절판구조물의 정확한 구조해석이 가능한데, 변절점유한요소를 정식화함으로써 적응적 h-유한요소 세분화시에 발생하는 다른 패턴의 사각형 유한요소 세분화망의 연결을 용이하게 해결한다. 오차평가에 대한 개선된 응력장을 얻기 위하여 상위수렴 조각회복법을 적용한다. 이와 같이 상위수렴 조각회복법에 의한 개선된 응력장에 의하여 구성된 유한요소 세분화망을 이용하여 좌굴하중과 좌굴모드를 자동적으로 구할 수 있도록 한다.

다변수 변분해법에 의한 비적합 8절점 육면체 요소 (Incompatible Three-Dimensional Hexagonal Finite Elements by Multivariable Method)

  • 주상백;신효철
    • 대한기계학회논문집A
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    • 제20권7호
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    • pp.2078-2086
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    • 1996
  • This paper introduces two three-dimensional eight-node hexagonal elements obtained by using multivariable variational mehtod. Both of them are based on the modified hellinger-reissner principle to employ incompatible displacements and assumed stresses of assumed strains. The internal functions of element are introduced to as element formulation through two different methods : the first one uses the functions determined directly from the element boundary condition of the incompatible displacements ; while the second, being a kind of B-bar mehtod, employs the modification technique of strain-displacement matrix to pass the patch test. The elements are evaluated on the selective problems of bending and material incompressibility with regular and distorted meshes. The results show that the new elements perform with good accuracy in both of deformation and stress calculation and they are insensitive to distorted geometry of element.

조류발전용 수직축 터빈의 공진 회피 설계를 위한 프로그램 개발 (Development of Vibration Analysis Program for Anti-resonance Design of Vertical-axis Tidal Current Turbine)

  • 배재한;성혜민;조대승;김재호
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2012년도 춘계학술대회 논문집
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    • pp.336-341
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    • 2012
  • The vertical-axis tidal current turbine (VAT) consisting of blades, struts to support blades, shaft, generator and so forth requires anti-resonance design against fluid fluctuation forces generated on blades to ensure its stable operation. In this study, a free vibration analysis program based on the finite element method is developed for efficient anti-resonance design of VAT in the preliminary design stage. In the finite element modeling, the VAT structure components are regarded as beam elements. Added masses due to the fluid and structure interaction of VAT evaluated by empirical formulas are considered as lumped mass elements. In addition, input parameters required for the analysis can be automatically prepared from the principal dimensions of VAT to make anti-resonance design more convenient. The validity of applied methods is verified by the comparison of the numerical results obtained from MSC/Nastran and the developed program for two VAT models.

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Lateral load effects on tall shear wall structures of different height

  • Carpinteri, Alberto;Corrado, Mauro;Lacidogna, Giuseppe;Cammarano, Sandro
    • Structural Engineering and Mechanics
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    • 제41권3호
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    • pp.313-337
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    • 2012
  • A three-dimensional formulation is proposed to analyze the lateral loading distribution of external actions in high-rise buildings. The method is extended to encompass any combination of bracings, including bracings with open thin-walled cross-sections, which are analyzed in the framework of Timoshenko-Vlasov's theory of sectorial areas. More in detail, the proposed unified approach is a tool for the preliminary stages of structural design. It considers infinitely rigid floors in their own planes, and allows to better understand stress and strain distributions in the different bearing elements if compared to a finite element analysis. Numerical examples, describing the structural response of tall buildings characterized by bracings with different cross-section and height, show the effectiveness and flexibility of the proposed method. The accuracy of the results is investigated by a comparison with finite element solutions, in which the bracings are modelled as three-dimensional structures by means of shell elements.

Numerical nonlinear bending analysis of FG-GPLRC plates with arbitrary shape including cutout

  • Reza, Ansari;Ramtin, Hassani;Yousef, Gholami;Hessam, Rouhi
    • Structural Engineering and Mechanics
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    • 제85권2호
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    • pp.147-161
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    • 2023
  • Based on the ideas of variational differential quadrature (VDQ) and finite element method (FEM), a numerical approach named as VDQFEM is applied herein to study the large deformations of plate-type structures under static loading with arbitrary shape hole made of functionally graded graphene platelet-reinforced composite (FG-GPLRC) in the context of higher-order shear deformation theory (HSDT). The material properties of composite are approximated based upon the modified Halpin-Tsai model and rule of mixture. Furthermore, various FG distribution patterns are considered along the thickness direction of plate for GPLs. Using novel vector/matrix relations, the governing equations are derived through a variational approach. The matricized formulation can be efficiently employed in the coding process of numerical methods. In VDQFEM, the space domain of structure is first transformed into a number of finite elements. Then, the VDQ discretization technique is implemented within each element. As the last step, the assemblage procedure is performed to derive the set of governing equations which is solved via the pseudo arc-length continuation algorithm. Also, since HSDT is used herein, the mixed formulation approach is proposed to accommodate the continuity of first-order derivatives on the common boundaries of elements. Rectangular and circular plates under various boundary conditions with circular/rectangular/elliptical cutout are selected to generate the numerical results. In the numerical examples, the effects of geometrical properties and reinforcement with GPL on the nonlinear maximum deflection-transverse load amplitude curve are studied.

베어링 지지 효과를 고려한 3 차원 로터동역학 해석 (Three-Dimensional Rotordynamic Analysis Considering Bearing Support Effects)

  • 박효근;김동현;김명국;전승배
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 춘계학술대회논문집
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    • pp.902-909
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    • 2006
  • In this study, three-dimensional rotordynamic analyses have been conducted using equivalent beam, hybrid and fun three-dimensional models. The Present computational method is based on the general finite element method with rotating gyroscopic effects of a rotor system. General purpose commercial finite element code, SAMCEF which includes practical rotordynamics module with various types of rotor analysis methods and bearing elements is applied. For the purpose of numerical verification, comparison study for a benchmark rotor model with support bearings is performed first. Detailed finite element models based on three different modeling concepts are constructed and then computational analyses are conducted for the realistic and complex three-dimensional rotor system. The results for rotor stability and mass unbalance response are presented and compared with the experimental vibration test conducted in this study.

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Collapse behaviour in reciprocal frame structures

  • Garavaglia, Elsa;Pizzigoni, Attilio;Sgambi, Luca;Basso, Noemi
    • Structural Engineering and Mechanics
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    • 제46권4호
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    • pp.533-547
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    • 2013
  • "Reciprocal Frame" refers to a self-supporting grid structure used both for floor and roof. Using Finite Element Methods for non-linear solid mechanics and frictional-contact, this paper intends to analytically and numerically investigate the collapse behaviour of a reciprocal frame structure made of fibre-reinforced concrete. Considering a simple 3-beam structure, it has been investigated using a solid finite element model. Once defined the collapse behaviour of the simple structure, the analysis has been generalized using a concentrated plasticity finite element method. Results provided will be useful for studying generic reciprocal frame structures with several beams.

압전지능구조물의 최적설계를 위한 민감도 해석 (Sensitivity analysis for optimal design of piezoelectric structures)

  • 김재환
    • 소음진동
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    • 제8권2호
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    • pp.267-273
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    • 1998
  • This study aims at performing sensitivity analysis of piezoelectric smart structure for minimizing radiated noise from the structure, The structure consists of a flat plate on which disk shaped piezoelectric actuator is mounted, and finite element modeling is used for the structure. The finite element modeling uses a combination of three dimensional piezoelectric, flat shell and transition elements so thus it can take into account the coupling effects of the piezoelectric device precisely and it can also reduce the degrees of freedom of the finite element model. Electric potential on the piezoelectric actuator is taken as a design variable and total radiated power of the structure is chosen as an objective function. The objective function can be represented as Rayleigh's integral equation and is a function of normal displacements of the structure. For the convenience of computation, all degrees of freedom of the finite element equation is condensed out except the normal displacements of the structure. To perform the design sensitivity analysis, the derivative of the objective function with respect to the normal displacements is found, and the derivative of the norma displacements with respect to the design variable is calculated from the finite element equation by using so called the adjoint variable method. The analysis results are compared with those of the finite difference method, and shows a good agreement. This sensitivity analysis is faster and more accurate than the finite difference method. Once the sensitivity analysis program is used for gradient-based optimizations, one could achieve a better convergence rate than non-derivative methods for optimal design of piezoelectric smart structures.

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Micro modelling of masonry walls by plane bar elements for detecting elastic behavior

  • Doven, Mahmud Sami;Kafkas, Ugur
    • Structural Engineering and Mechanics
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    • 제62권5호
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    • pp.643-649
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    • 2017
  • Masonry walls are amongst the oldest building systems. A large portion of the research on these structures focuses on the load-bearing walls. Numerical methods have been generally used in modelling load-bearing walls during recent years. In this context, macro and micro modelling techniques emerge as widely accepted techniques. Micro modelling is used to investigate the local behaviour of load-bearing walls in detail whereas macro modelling is used to investigate the general behaviour of masonry buildings. The main objective of this study is to investigate the elastic behaviour of the load- bearing walls in masonry buildings by using micro modelling technique. In order to do this the brick and mortar units of the masonry walls are modelled by the combination of plane truss elements and plane frame elements with no shear deformations. The model used in this study has fewer unknowns then the models encountered in the references. In this study the vertical frame elements have equivalent elasticity modulus and moment of inertia which are calculated by the developed software. Under in-plane static loads the elastic displacements of the masonry walls, which are encountered in literature, are calculated by the developed software, where brick units are modelled by plane frame elements, horizontal joints are modelled by vertical frame elements and vertical joints are modelled by horizontal plane truss elements. The calculated results are compatible with those given in the references.

유한요소해의 정확도 조절을 위한 적응해석법 (Adaptive Analysis Methods for the Accuracy Control of Finite Element Solutions)

  • 오형석;이대일;최준형;임장근
    • 대한기계학회논문집A
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    • 제20권7호
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    • pp.2067-2077
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    • 1996
  • In adaptive finite element analysis, r- and h-methods are generally used on the basis of a discretization error estimator. In this paper, an rh-method is proposed as a new adaptive method which can improve the adaptivity performance by using both of them. This suggested rh-method moves nodal coordinates of initially given model to adjust element discretization errors and thereafter performes the h-method tdo obtain the specified accuracy of finite element solutions. Numerical experiments for various plane problems were performed using 4-noded isoparametric quadrilateral elements. As a result, the rh-method has been shown to be an accurate and efficient adaptive analysis method to obtain as improved solution.