• 제목/요약/키워드: elastic numerical analysis

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구형등가보 원리에 의한 튜브 구조물의 전단응력 해석 (Orthotropic Beam Analogy for Analysis of Shear Stresses in Framed-Tube Structures)

  • 이강건;이리형
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.393-400
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    • 2001
  • A simple numerical modelling technique is proposed for estimating the shear stress distribution in beams of framed tube structures with multiple internal tubes. The structures are analysed using a continuum approach in which each tube is individually modelled by a tube beam that accounts for the flexural and shear deformations, as well as the shear lag effects. The method idealises the discrete tubes-in-tube structures as an assemblage of equivalent multiple beams, each composed of orthotropic plate panels. The numerical analysis of shear stress is based on the elastic theory in conjunction with the minimum potential energy principle. By simplifying assumptions regarding the form of strain distributions in external and internal tubes, the shear stress distributions are expressed in terms of a series of linear functions of the second moments of area of the structures and the corresponding geometric and material properties, as well as the applied loads. The simplicity and accuracy of the proposed method are demonstrated through the solutions of three numerical examples.

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Numerical methods for the dynamic analysis of masonry structures

  • Degl'Innocenti, Silvia;Padovani, Cristina;Pasquinelli, Giuseppe
    • Structural Engineering and Mechanics
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    • 제22권1호
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    • pp.107-130
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    • 2006
  • The paper deals with the numerical solution of the dynamic problem of masonry structures. Masonry is modelled as a non-linear elastic material with zero tensile strength and infinite compressive strength. Due to the non-linearity of the adopted constitutive equation, the equations of the motion must be integrated directly. In particular, we apply the Newmark or the Hilber-Hughes-Taylor methods implemented in code NOSA to perform the time integration of the system of ordinary differential equations obtained from discretising the structure into finite elements. Moreover, with the aim of evaluating the effectiveness of these two methods, some dynamic problems, whose explicit solutions are known, have been solved numerically. Comparisons between the exact solutions and the corresponding approximate solutions obtained via the Newmark and Hilber-Hughes-Taylor methods show that in the cases under consideration both numerical methods yield satisfactory results.

Big data analysis via computer and semi numerical simulations for dynamic responses of complex nanosystems

  • Allam, Maalla;Xiaoping, Huang;Hongkai, Zhou
    • Advances in nano research
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    • 제13권6호
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    • pp.599-617
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    • 2022
  • In the present research, for the first time, the vibrational as well as buckling characteristics of a three-layered curved nanobeam including a core made of functionally graded (FG) material and two layers of smart material-piezo-magneto-electric-resting on a Winkler Pasternak elastic foundation are examined. The displacement field for the nanobeam is chosen via Timoshenko beam theory. Also, the size dependency is taken into account by using nonlocal strain gradient theory, aka NSGT. Then, by employing Hamilton's principle, energy procedure, the governing equations together with the boundary conditions are achieved. The solution procedure is a numerical solution called generalized differential quadrature method, or GDQM. The accuracy and reliability of the formulation alongside solution method is examined by using other published articles. Lastly, the parameter which can alter and affect the buckling or vocational behavior of the curved nanobeam is investigated in details.

탄성영역이 없는 J2-경계면 소성모델 (J2-bounding Surface Plasticity Model with Zero Elastic Region)

  • 신호성;오세붕;김재민
    • 대한토목학회논문집
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    • 제43권4호
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    • pp.469-476
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    • 2023
  • 반복하중이나 동적하중에 대한 지반의 소성모델은 지반구조물의 비선형 수치해석에 매우 중요하다. 단일 항복면 모델은 반복하중에 대해 선형적 거동을 보이는 반면, 개발된 탄성영역이 없는 J2-경계면 소성모델은 동일한 물성치로 효과적으로 지반의 비선형성을 모사할 수 있다. 경계면 내부 항복면의 반경을 0으로 수렴시켜 탄성영역이 사라지도록 수식화하고, 소성경화 계수과 팽창률을 이용하여 소성변형 증분을 정의하였다. 개발된 모델의 응력-변형률 증분식을 제시하고, 쌍곡선 모델에 대한 소성경화 계수를 유도하였다. 삼축압축조건과 얕은기초의 반복하중에 대한 비교해석은 개발된 모델의 안정적인 수렴성, 이론식과의 일치성, 그리고 이력경로을 보여 주었다. 또한, 수정된 쌍곡선함수에 대한 소성경화 계수를 제시하여, 1차원 등가선형모델에 부합하는 모델변수 산정법을 제안하여 지반의 다차원 거동을 모델링할 수 있도록 하였다.

3차원 수치해석을 통한 복합하중이 작용하는 농업용저수지의 거동 분석 (Analysis of Behavior of Agricultural Reservoir with Combined Load by 3-D Numerical Analysis)

  • 송창섭;우제근;안광국;김명환
    • 한국농공학회논문집
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    • 제60권1호
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    • pp.59-65
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    • 2018
  • The object of this paper was to analyze combined load acting on agricultural reservoir. This study was carried out to 3-D numerical modeling for displacement characteristic and seismic acceleration characteristic. The results of study were analyzed and summarized as follow. It was found that the displacement caused by combined load acting on railway and agricultural reservoir did not reflect the effect of load and the seismic wave consistently. The ground accelerations that occur in railway and dam were amplified because 3-D numerical analysis program interprets ground as an elastic body. Actual ground shows characteristics of elasticity and plasticity, so measured values will show different tendency. As a result of analyzing displacement characteristics, it is considered to be related to stiffness. The Ofunato seismic wave, the displacement (77.1 mm) of the body satisfied the allowable displacement (220 mm), but The Hachinohe seismic wave (282.8 mm) did not. It is considered that displacement caused by combined load is affected not only by acceleration but also by characteristics of materials.

용접 연결부의 거동에 관한 연구 (A Study on the Behavior of Welded Connections)

  • 안주옥;윤영만
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 가을 학술발표회 논문집
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    • pp.145-151
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    • 1994
  • Welded connections have been designed on basis of allowable stresses, wherein the response to loading is assumed to be totally elastic. This is the vector analysis method, which resolves the stresses determined from the direct stress formula and the torsion formula into a vector combination to obtain a solution. It has been known that this method gives conservative answers and typically a very high factor of safety. An analytical method based on the Instantaneous Center of Rotation has been developed which predicts the ultimate strength of an eccentically loaded fillet welded connection. The method of Instantaneous Center of Rotation results in weld resistance capacities greater than the vector analysis method, by recognizing the variation in fillet weld strength with respect to the direction of the applied loading and actual load-deformation response of elemental fillet welds. The procedure of numerical analysis is iterative and complex. The relations between vector analysis method and the method of Instantaneous Center of Rotation on eccentrical distance subjected to variation of load direction are presented in this paper. Considering of the effects on configuration of weld groups, the method of Instantaneous Center of Rotation are provided a more exact results of the numerical analysis.

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탄성파의 변형 및 응력 계산에 관한 연구 (Elastic Wave Field Calculations)

  • 이정기
    • 전산구조공학
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    • 제10권2호
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    • pp.213-223
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    • 1997
  • 탄성파의 변형 및 응력계산에 관한 연구는 비파괴검사를 비롯하여 광범위한 공학분야에서 중요한 역할을 하고 있다. 특히 파형의 산란문제가 많은 연구자들에 의해 다양한 방법으로 연구되고 있다. 실린더 또는 구와 같은 간단한 형상을 지닌 산란체에 대하여, 정상상태 탄성파의 산란문제의 해석은 해석적 기법을 이용한 연구가 가능하다. 하지만 임의의 형상을 갖는 산란체 또는 다수의 함유체에 대한 해석에는 수치해석방법이 요구된다. 예를 들면, 무한요소법 또는 Global-Local 유한요소법이라고 하는 혼성 유한요소법과 같은 특수한 유한요소법등이 개발되고 있다. 최근에는 경계요소법을 사용한 산란문제의 해석에 대한 연구가 진행되고 있다. 본 논문에서는 다수의 임의의 형상을 갖는 함유체, 공동 또는 크랙을 포함하고있는 무한고체에서의 일반적인 탄성동력학 문제를 해석하기 위해 새롭게 개발된 체적적분 방정식법을 소개한다. 또한 경계요소법을 사용하여 탄성파의 산란문제에 대한 수치해석을 수행하였으며, 이의 결과를 체적적분 방정식법의 결과와 비교 검토 하였다.

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Influence of column yielding on degree of consolidation of soft foundations improved by deep mixed columns

  • Jiang, Yan;Han, Jie;Zheng, Gang
    • Geomechanics and Engineering
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    • 제6권2호
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    • pp.173-194
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    • 2014
  • Laboratory and field data showed that deep mixed (DM) columns accelerated the rate of consolidation of the soft foundations. Most analyses of consolidation of DM column-improved foundations so far have been based on the elastic theory. In reality, the DM columns may yield due to the stress concentration from the soft soil and its limited strength. The influence of column yielding on the degree of consolidation of the soft foundation improved by DM columns has not been well investigated. A three-dimensional mechanically and hydraulically-coupled numerical method was adopted in this study to investigate the degree of consolidation of the DM column foundation considering column yielding. A unit cell model was used, in which the soil was modeled as a linearly elastic material. For a comparison purpose, the DM column was modeled as an elastic or elastic-plastic material. This study examined the aspects of stress transfer, settlement, and degree of consolidation of the foundations without or with the consideration of the yielding of the DM column. A parametric study was conducted to investigate the influence of the column yielding on the stress concentration ratio, settlement, and average degree of consolidation of the DM column foundation. The stress concentration ratio increased and then decreased to reach a constant value with the increase of the column modulus and time. A simplified method was proposed to calculate the maximum stress concentration ratios under undrained and drained conditions considering the column yielding. The simplified method based on a composite foundation concept could conservatively estimate the consolidation settlement. An increase of the column modulus, area replacement ratio, and/or column permeability increased the rate of consolidation.

Analytical and higher order finite element hybrid approach for an efficient simulation of ultrasonic guided waves I: 2D-analysis

  • Vivar-Perez, Juan M.;Duczek, Sascha;Gabbert, Ulrich
    • Smart Structures and Systems
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    • 제13권4호
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    • pp.587-614
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    • 2014
  • In recent years the interest in online monitoring of lightweight structures with ultrasonic guided waves is steadily growing. Especially the aircraft industry is a driving force in the development of structural health monitoring (SHM) systems. In order to optimally design SHM systems powerful and efficient numerical simulation tools to predict the behaviour of ultrasonic elastic waves in thin-walled structures are required. It has been shown that in real industrial applications, such as airplane wings or fuselages, conventional linear and quadratic pure displacement finite elements commonly used to model ultrasonic elastic waves quickly reach their limits. The required mesh density, to obtain good quality solutions, results in enormous computational costs when solving the wave propagation problem in the time domain. To resolve this problem different possibilities are available. Analytical methods and higher order finite element method approaches (HO-FEM), like p-FEM, spectral elements, spectral analysis and isogeometric analysis, are among them. Although analytical approaches offer fast and accurate results, they are limited to rather simple geometries. On the other hand, the application of higher order finite element schemes is a computationally demanding task. The drawbacks of both methods can be circumvented if regions of complex geometry are modelled using a HO-FEM approach while the response of the remaining structure is computed utilizing an analytical approach. The objective of the paper is to present an efficient method to couple different HO-FEM schemes with an analytical description of an undisturbed region. Using this hybrid formulation the numerical effort can be drastically reduced. The functionality of the proposed scheme is demonstrated by studying the propagation of ultrasonic guided waves in plates, excited by a piezoelectric patch actuator. The actuator is modelled utilizing higher order coupled field finite elements, whereas the homogenous, isotropic plate is described analytically. The results of this "semi-analytical" approach highlight the opportunities to reduce the numerical effort if closed-form solutions are partially available.

노치성형 발파공을 이용한 균열제어 발파방법의 균열발생 특성에 대한 수치해석적 고찰 (Numerical study on the charateristics of fracture growth in fracture controlled blasting using notched blasthole)

  • 백승규;김재동;임한욱;류창하
    • 터널과지하공간
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    • 제9권1호
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    • pp.64-71
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    • 1999
  • 균열면을 제어하는 발파방법의 하나로서 노치성형 발파공을 이용한 방법의 균열발생 특성을 2차원 및 3차원 유한요소 해석방법을 이용하여 고찰하였다. 균열제어를 위한 모델로는 노치가 성형된 발파공과 일반적인 원형 발파공을 대상으로 하였으며, 발파 압력에 대한 암반의 동적 반응, 탄성 및 소성 변형의 발생 특성, 그리고 이로 인한 발파 균열의 성장 전파 특성을 분석하여, 균열의 능동적 제어와 보다 효율적인 발파가 이루어 질 수 잇는 조건들을 규명하고자 하였다. 해석 결과 일반 발파공의 정하중 탄성 모델의 경우 공반경의 약 3배인 6cm 까지 집중된 응력의 크기가 파괴강도를 초과하는 것으로 나타났으며 탄소성 모델의 경우 균열이 전파거리는 공반경의 145배인 30cm 가지 확장되었다. 또한 폭 5mm 길이 30 mm 의 노치가 가공된 발파공의 경우 정하중하에서 공반경의 23배인 46cm 까지 균열이 진전되었으며, 균열의 방향은 노치 첨단의 방향으로 생성되는 것으로 나타났다.

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