• 제목/요약/키워드: Shell elements

검색결과 466건 처리시간 0.027초

Transient energy flow in ship plate and shell structures under low velocity impact

  • Liu, Z.S.;Swaddiwudhipong, S.;Lu, C.;Hua, J.
    • Structural Engineering and Mechanics
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    • 제20권4호
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    • pp.451-463
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    • 2005
  • Structural members commonly employed in marine and off-shore structures are usually fabricated from plates and shells. Collision of this class of structures is usually modeled as plate and shell structures subjected to dynamic impact loading. The understanding of the dynamic response and energy transmission of the structures subjected to low velocity impact is useful for the efficient design of this type of structures. The transmissions of transient energy flow and dynamic transient response of these structures under low velocity impact are presented in the paper. The structural intensity approach is adopted to study the elastic transient dynamic characteristics of the plate structures under low velocity impact. The nine-node degenerated shell elements are adopted to model both the target and impactor in the dynamic impact response analysis. The structural intensity streamline representation is introduced to interpret energy flow paths for transient dynamic response of the structures. Numerical results, including contact force and transient energy flow vectors as well as structural intensity stream lines, demonstrate the efficiency of the present approach and attenuating impact effects on this type of structures.

The G. D. Q. method for the harmonic dynamic analysis of rotational shell structural elements

  • Viola, Erasmo;Artioli, Edoardo
    • Structural Engineering and Mechanics
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    • 제17권6호
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    • pp.789-817
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    • 2004
  • This paper deals with the modal analysis of rotational shell structures by means of the numerical solution technique known as the Generalized Differential Quadrature (G. D. Q.) method. The treatment is conducted within the Reissner first order shear deformation theory (F. S. D. T.) for linearly elastic isotropic shells. Starting from a non-linear formulation, the compatibility equations via Principle of Virtual Works are obtained, for the general shell structure, given the internal equilibrium equations in terms of stress resultants and couples. These equations are subsequently linearized and specialized for the rotational geometry, expanding all problem variables in a partial Fourier series, with respect to the longitudinal coordinate. The procedure leads to the fundamental system of dynamic equilibrium equations in terms of the reference surface kinematic harmonic components. Finally, a one-dimensional problem, by means of a set of five ordinary differential equations, in which the only spatial coordinate appearing is the one along meridians, is obtained. This can be conveniently solved using an appropriate G. D. Q. method in meridional direction, yielding accurate results with an extremely low computational cost and not using the so-called "delta-point" technique.

A modified shell-joint model for segmental tunnel dislocations under differential settlement

  • Jianguo Liu;Xiaohui Zhang;Yuyin Jin;Wenyuan Wang
    • Geomechanics and Engineering
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    • 제35권4호
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    • pp.411-424
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    • 2023
  • Reasonable estimates of tunnel lining dislocations in the operation stage, especially under longitudinal differential settlement, are important for the design of waterproof gaskets. In this paper, a modified shell-joint model is proposed to calculate shield tunnel dislocations under longitudinal differential settlement, with the ability to consider the nonlinear shear stiffness of the joint. In the case of shell elements in the model, an elastoplastic damage constitutive model was adopted to describe the nonlinear stress-strain relationship of concrete. After verifying its applicability and correctness against a full-scale tunnel test and a joint shear test, the proposed model was used to analyze the dislocation behaviors of a shield tunnel in Shanghai Metro Line 2 under longitudinal differential settlement. Based on the results, when the tunnel structure is solely subjected to water-earth load, circumferential and longitudinal joint dislocations are all less than 0.1 mm. When the tunnel suffers longitudinal differential settlement and the curvature radius of the differential settlement is less than 300 m, although maximum longitudinal joint dislocation is still less than 0.1 mm, the maximum circumferential joint dislocation is approximately 10.3 mm, which leads to leakage and damage of the tunnel structure. However, with concavo-convex tenons applied to circumferential joints, the maximum dislocation value reduces to 4.5 mm.

Investigation of nonlinear free vibration of FG-CNTRC cylindrical panels resting on elastic foundation

  • J.R. Cho
    • Structural Engineering and Mechanics
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    • 제88권5호
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    • pp.439-449
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    • 2023
  • Non-linear vibration characteristics of functionally graded CNT-reinforced composite (FG-CNTRC) cylindrical shell panel on elastic foundation have not been sufficiently examined. In this situation, this study aims at the profound numerical investigation of the non-linear vibration response of FG-CNTRC cylindrical panels on Winkler-Pasternak foundation by introducing an accurate and effective 2-D meshfree-based non-linear numerical method. The large-amplitude free vibration problem is formulated according to the first-order shear deformation theory (FSDT) with the von Karman non-linearity, and it is approximated by Laplace interpolation functions in 2-D natural element method (NEM) and a non-linear partial derivative operator HNL. The complex and painstaking numerical derivation on the curved surface and the crucial shear locking are overcome by adopting the geometry transformation and the MITC3+ shell elements. The derived nonlinear modal equations are iteratively solved by introducing a three-step iterative solving technique which is combined with Lanczos transformation and Jacobi iteration. The developed non-linear numerical method is estimated through the benchmark test, and the effects of foundation stiffness, CNT volume fraction and functionally graded pattern, panel dimensions and boundary condition on the non-linear vibration of FG-CNTRC cylindrical panels on elastic foundation are parametrically investigated.

Stress analysis of a postbuckled laminated composite plate

  • Chai, Gin-Boay;Chou, Siaw Meng;Ho, Chee-Leong
    • Structural Engineering and Mechanics
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    • 제7권4호
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    • pp.377-386
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    • 1999
  • The stress distribution in a symmetrically laminated composite plate subjected to in-plane compression are evaluated using finite element analysis. Six different finite element models are created for the study of stresses in the plate after buckling. Two finite element modelling approaches are adopted to obtain the stress distribution. The first approach starts with a full model of shell elements from which sub-models of solid elements are spin-off The second approach adopts a full model of solid elements at the beginning from which sub-models of solid elements are created. All sub-models have either 1-element thickness or 14-element thickness. Both techniques show high interlaminar direct and shear stresses at the free edges. The study also provides vital information of the distribution of all components of stresses along the unloaded edges in length direction and also in the thickness direction of the plate.

모르터 충전 강관 슬리브를 이용한 철근 이음의 해석 모델 (The Analytical Model for the Reinforcement Bar Connection in Grout-Filled Steel Pipe Sleeve)

  • 황재호;이용재;이원호;이리형
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1997년도 가을 학술발표회 논문집
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    • pp.519-526
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    • 1997
  • The purpose of this study is to develop the analytical model for the reinforcement bar connection in group-filled steel pipe sleeve, which consists of beam elements for the reinforcement bar and shell elements for the sleeve and the mortar and spring elements for the bond stress-slip relationship. In the reinforcement bar connection using grout-filled steel pipe sleeve, the major variables are the bond stiffness between reinforcement bar and mortar($K_1$) and between sleeve and mortar($K_2$). It is nearly difficult to predict the exact bond stiffness with the experimental results. Therefore, The linearly elastic analyses using ABAQUS, FEM package show the validity of the mathematical equations for the bond stiffness and the choice of material elements in this paper. To predict the behaviour between yield and ultimate tensile strength, the nonlinear analyses must be performed henceforth.

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Dynamic analysis of guideway structures by considering ultra high-speed Maglev train-guideway interaction

  • Song, Myung-Kwan;Fujino, Yozo
    • Structural Engineering and Mechanics
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    • 제29권4호
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    • pp.355-380
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    • 2008
  • In this study, the new three-dimensional finite element analysis model of guideway structures considering ultra high-speed magnetic levitation train-bridge interaction, in which the various improved finite elements are used to model structural members, is proposed. The box-type bridge deck of guideway structures is modeled by Nonconforming Flat Shell finite elements with six DOF (degrees of freedom). The sidewalls on a bridge deck are idealized by using beam finite elements and spring connecting elements. The vehicle model devised for an ultra high-speed Maglev train is employed, which is composed of rigid bodies with concentrated mass. The characteristics of levitation and guidance force, which exist between the super-conducting magnet and guideway, are modeled with the equivalent spring model. By Lagrange's equations of motion, the equations of motion of Maglev train are formulated. Finally, by deriving the equations of the force acting on the guideway considering Maglev train-bridge interaction, the complete system matrices of Maglev train-guideway structure system are composed.

쉘 스택 주조 3.60wt%C-2.60wt%Si 조성 구상흑연주철의 Normalizing 및 Quenching 처리 시 기계적 성질에 미치는 합금 원소의 영향 (Effects of Alloying Elements on the Mechanical Properties of Normalized and Quenched 3.60wt%C-2.60wt%Si Ductile Cast Irons Poured into Shell Stack Mold)

  • 김효민;권해욱;여인동;남원식
    • 한국주조공학회지
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    • 제30권2호
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    • pp.66-75
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    • 2010
  • The effects of alloying elements on the mechanical properties of normalized and quenched 3.60wt%C-2.60wt%C ductile cast iron poured into shell stack mold were investigated. The strength and hardness of as-cast specimen were increased and the elongation of it was decreased with the additions of Mn, Cu and Sn. The strength and hardness were increased with the addition of 0.40wt%Mo and then rather decreased with the increased addition of 0.80wt%. The strength and hardness were increased with normalizing treatment and the strengths of normalized specimens were increased slightly with the addition of alloying elements except Mo. Meanwhile the yield strength of the normalized specimen was increased slightly with the addition of Mo, the tensile strength was not changed much. Meanwhile the hardness and strength of the quenched specimen were slightly increased with the addition of Mn, those were almost not changed with the amount added. The tensile strength of the quenched specimen with larger diameter, when the Cu had been added, and the tensile and yield strengths of them, when Mo had been added, were increased with the addition of alloying element. On the other hand, those were not changed with the amount added. For the case of specimen with smaller diameter, there were no effects of these two elements. When Sn had been added, the strength of hardened specimen with larger diameter was slightly increased with the amount added. However, that with smaller diameter was rather decreased with it. The effect of specimen diameter on the strength of quenched specimen with the addition of Cu, Mo and Sn was reduced.

CFT기둥과 합성보로 구성된 CJS합성구조시스템의 유한요소해석 연구 (Finite Element Analysis Study of CJS Composite Structural System with CFT Columns and Composite Beams)

  • 문아해;신지욱;임창규;이기학
    • 한국지진공학회논문집
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    • 제26권2호
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    • pp.71-82
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    • 2022
  • This paper presents the effect on the inelastic behavior and structural performance of concrete and filled steel pipe through a numerical method for reliable judgment under various load conditions of the CJS composite structural system. Variable values optimized for the CJS synthetic structural system and the effects of multiple variables used for finite element analysis to present analytical modeling were compared and analyzed with experimental results. The Winfrith concrete model was used as a concrete material model that describes the confinement effect well, and the concrete structure was modeled with solid elements. Through geometric analysis of shell and solid elements, rectangular steel pipe columns and steel elements were modeled as shell elements. In addition, the slip behavior of the joint between the concrete column and the rectangular steel pipe was described using the Surface-to-Surface function. After finite element analysis modeling, simulation was performed for cyclic loading after assuming that the lower part of the foundation was a pin in the same way as in the experiment. The analysis model was verified by comparing the calculated analysis results with the experimental results, focusing on initial stiffness, maximum strength, and energy dissipation capability.

다중 패치 쉘 아이소 지오메트릭 해석의 계면 연속성 검토 (Studies of Interface Continuity in Isogeometric Structural Analysis for Multi-patch Shell Components)

  • 하윤도;노정민
    • 한국전산구조공학회논문집
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    • 제31권2호
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    • pp.71-78
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    • 2018
  • 본 연구에서는 NURBS 기반 아이소 지오메트릭 쉘 해석을 위해 다중 패치 해석 모델을 정식화하였다. 기존 연구를 통해 개발된 단일 패치로 구성된 전단 변형을 고려한 쉘 요소에 대해 일반 좌표계에서 기하학적으로 엄밀한 쉘 구조물의 아이소 지오메트릭 해석 모델을 도입하고 매개변수 연속성을 고려하여 다중 패치 모델로 확장하였다. 인접 곡면의 노트 요소가 결합 경계를 통해 조화를 이루는 경우에 대해 0차와 1차 매개변수 연속성 조건을 고려하였으며, 두 패치 간 마스터-슬레이브 관계를 정립하여 종속된 한 곡면의 자유도를 상대 곡면의 자유도로 표시하여 모델 크기를 줄이면서 두 곡면을 결합하였다. 다중 패치 쉘 예제에 대해 0차와 1차 연속성 조건을 각각 적용하여 구조해석을 수행하여 1차 연속성 조건의 주요한 특성들을 확인하였다. 또한 각 연속성 조건에 대한 해의 수렴 특성을 검토하였으며 결합 경계에서의 두 패치의 연속성을 확인하였다.