• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2006년도 추계 학술발표회 논문집
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• pp.341-344
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• 2006

A study for the nonlinear analysis of segmentally erected curved PSC(prestressed concrete) cable-stayed bridge considering the effects due to large deflections is presented. Various case studies regarding the effects of the material nonlinearities and the geometric nonlinearities on the behavior of segmentally erected curved PSC cable-stayed bridge are conducted. The numerical results on the bridge which has relatively low stress profile through the bridge deck section like the example herein show that the geometric nonlinearities has more significant effects on the structural behavior than the material nonlinearities.

• Structural Engineering and Mechanics
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• 제6권2호
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• pp.217-227
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• 1998

An elasto-plastic finite element procedure using degenerated shell element with assumed strain field technique considering both material and geometric nonlinearities has been developed. This assumes von-Mises yield criterion, von-Karman strain displacement relations and isotropic hardening. A few numerical examples are presented to demonstrate the correctness and applicability of the method to different kinds of engineering problems. From present study, it is seen that there is a considerable improvement in the displacement valuse when both material and geometric nonlinearities are considered. An example of the spread of plastic zones for isotropic and anisotropic materials has been illustrated.

• 대한기계학회논문집
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• 제14권1호
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• pp.13-22
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• 1990

본 연구에서는 일반적인 셸 요소에 대해 von Mises의 항복조건에 입각한 탄소 성 구성방정식과 total Lagrangian식을 바탕으로한 비선형 해석이론에 Lagrange Mult- iplier식을 이용한 구속조건(constraints)을 도입하여, 중첩된 비선형 구조물이 갖고 있는 제반 비선형성을 고려할 수 있도록 수식화하였으며, 이를 엄밀해를 구할 수 있는 두개의 외팔보가 중첩된 경우에 적용하여 엄밀해와 비교하였으며, 또한 실제적으로 국 산 핵연료 집합체에 사용되는 각 홀드다운 스프링 집합체에 대한 특성 해석을 수행하 여 그 결과를 실험치와 비교하여 그 비교치가 근사함을 보임으로써 본 방법의 신뢰성 과 효용성을 보였다.

• Structural Engineering and Mechanics
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• 제27권4호
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• pp.477-499
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• 2007

The main purpose of this paper is to investigate the ultimate behavior of steel cable-stayed bridges with design variables and compare the validity and applicability of computational methods for evaluating ultimate load capacity of cable-stayed bridges. The methods considered in this paper are elastic buckling analysis, inelastic buckling analysis and nonlinear elasto-plastic analysis. Elastic buckling analysis uses a numerical eigenvalue calculation without considering geometric nonlinearities of cable-stayed bridges and the inelastic material behavior of main components. Inelastic buckling analysis uses an iterative eigenvalue calculation to consider inelastic material behavior, but cannot consider geometric nonlinearities of cable-stayed bridges. The tangent modulus concept with the column strength curve prescribed in AASHTO LRFD is used to consider inelastic buckling behavior. Detailed procedures of inelastic buckling analysis are presented and corresponding computer codes were developed. In contrast, nonlinear elasto-plastic analysis uses an incremental-iterative method and can consider both geometric nonlinearities and inelastic material behavior of a cable-stayed bridge. Proprietary software ABAQUS are used and user-subroutines are newly written to update equivalent modulus of cables to consider geometric nonlinearity due to cable sags at each increment step. Ultimate load capacities with the three analyses are evaluated for numerical models of cable-stayed bridges that have center spans of 600 m, 900 m and 1200 m with different girder depths and live load cases. The results show that inelastic buckling analysis is an effective approximation method, as a simple and fast alternative, to obtain ultimate load capacity of long span cable-stayed bridges, whereas elastic buckling analysis greatly overestimates the overall stability of cable-stayed bridges.

• 한국구조물진단유지관리공학회 논문집
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• 제6권3호
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• pp.129-138
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• 2002

The purpose of this study is to propose the nonlinear analysis method which combines the nonlinear incremental method with the layered method to solve the problems due to the geometric and the material nonlinearities. As numerical analysis models, the reinforced concrete simple beam and the steel arch frame are used to verify the algorithm of the proposed nonlinear method. The results are gotten from the computation procedures. According to the results of this study, the fracture pattern of the beam according to the ratio of tensile steel and the strength of the concrete and the steel can be estimated by the proposed method. Therefore, the load-deflection curve of structure can be, exactly, depicted by the proposed method. Also, the rupture load, the site and the depth of crack of the beam can analytically be checked by the proposed method. In this respect, the proposed method contributes for the solving the stability problem of the actual structure.

• 한국강구조학회 논문집
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• 제23권6호
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• pp.691-704
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• 2011

본 연구는 데릭크레인과 인양중인 새그먼트 자중에 의한 외력이 작용하는 시공중인 폐합 직전 사장교의 기하비선형성 및 재료비선형성을 고려한 비선형 해석을 통해 극한 거동을 규명하였다. 시공중 사장교의 상태를 수치적으로 구현하기 위해 초기형상 해석과 역방향 시공단계 해석을 순차적으로 진행하였고, 이후에는 데릭크레인 및 인양중인 새그먼트 자중을 중앙경간 최 측단에 재하 하여 폐합 전 강사장교의 주요한 거동을 모사하였다. 또한 주요 매개변수에 따른 극한거동 및 극한하중계수의 변화를 정량적으로 분석하기 위한 방법으로 주탑-거더간 강성비와 케이블 면적을 변화하면서 거동을 관찰하였고, 기하비선형성과 재료비선형성 모두를 고려한 극한해석 결과를 기하비선형성만을 고려한 기하비선형 해석과 비교하여 보다 구체적이고 정량적인 극한거동에 대해 분석하였다.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 1995년도 제4회 학술강연회논문집
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• pp.141-153
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• 1995

An incremental Total Lagrangian Formulation is implemented for the finite element analysis of laminated composite pressure vessel with consideration of the material and geometric nonlinearities. For large displacements/large rotations due to geometric nonlinearities, the incremental equations are derived using a quadratic approximation for the increment of the reference vectors in terms of the nodal rotation increments. This approach leads to a complete tangent stiffness matrix. For material nonlinearity, the analysis is performed by using the piecewise linear method, taking account of the nonlinear shear stress-strain relation. The results of numerical tests include the large deflection behavior of the selected composite shell problem. When compared with the previous analysis, tile results are in good agreement with them. As a practical example, filament wound pressure vessel is analyzed with consideration of the geometrically and materially nonlinearity. The numerical results agree fairly well with the existing experimental results.

• 콘크리트학회지
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• 제8권6호
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• pp.223-234
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• 1996

본 논문에서는 단조증가하중을 받는 철근 및 프리스트레스트 콘크리트 슬래브의 비선형거동, 즉 탄성, 비탄성, 극한영역에 이르기까지의 모든 하중이력에 대한 응력-변형도 관계와 균열의 진행 및 철근 및 텐던과 콘트리트의 응력과 변형도 등을 정확히 해석할 수 잇는 해석법의 제시를 목적으로 한다. 이러한 목적을 위하여 본 연구에서는 재료적 및 기하학적 비선형성을 고려하였다. 기하학적 비선형성은 Von Karman의 가정에 기본을 둔 total Lagrangian formulation에 의해 고려하였으며 재료적 비선형성에 대해서는 균열콘크리트에대한 인장, 압축, 전단모델과 콘크리트 중에 있는 철근 및 텐던모델을 조합하여 고려하였다. 이에 대한 콘크리트의 균열모델로서는 분산균열모델을 사용하였으며, 철근 및 텐던에 대해서는 1축 응력상태로 가정하여 등가의 분산분포된 철근 및 텐던층으로 모델화하였다. 본 논문에서 제안한 해석방법의 타당성을 검증하기 위하여 몇 개의 실험치를 해석치와 비교.검토한 결과, 본 논문의 해석방법에 의하면 철근 및 프리스트레스트 콘크리트 슬래브의 비선형거동을 보다 정확하게 예측할 수 있었다.

• Computers and Concrete
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• 제14권6호
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• pp.657-674
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• 2014

The purpose of this paper is to present a numerical procedure to analyse reinforced concrete columns subjected to combined axial loads and bending that rigorously considers nonlinear material and nonlinear geometric characteristics. Column design and stability analysis are simultaneously regarded. A finite element method is used for calculating displacements and the material and geometric nonlinearities are taken into account using an iterative process. A computer program is developed from the proposed numerical procedure, and the efficiency of the program is verified against available experimental data. The model applies to constant rectangular cross sectional columns with symmetric reinforcement distribution.

• Advances in concrete construction
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• 제13권5호
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• pp.377-384
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• 2022

The present paper deals with nonlinear deflection analysis of hyperelastic plates rested on elastic foundation and subject to a transverse point force. For modeling of hyperelastic material, three-parameter Ishihara model has been employed. The plate formulation is based on classic plate theory accounting for von-Karman geometric nonlinearity. Therefore, both material and geometric nonlinearities have been considered based on Ishihara hyperelastic plate model. The governing equations for the plate have been derived based on Hamilton's rule and then solved via Galerkin's method. Obtained results show that material parameters of hyperelastic material play an important role in defection analysis. Also, the effects of foundation parameter and load location on plate deflections will be discussed.