• 한국강구조학회 논문집
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• 제19권6호
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• pp.599-610
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• 2007

이 연구에서는 박벽 뼈대 구조물의 3차원 기하 비선형 해석을 위한 Corotational 정식화를 유도하였으며, 특히 변형 후 부재좌표계 결정에서 모호했던 기존의 이론을 단면의 물리적 적합 조건을 이용하여 해결하였다. 부재 양단의 순수 비틀림 회전값이 서로 크기는 같고 방향은 반대가 되는 상태를 적합조건으로 적용하고, 이를 특별히 ZTSC(Zero Twisted Section Condition)이라고 명명하였다. 개발된 방법의 타당성을 검증하기 위하여 기존의 다른 연구자가 사용한 방법과 비교하여 대회전변위가 발생한 경우에 대한 순수회전변위 결과를 검토하였으며, 개발된 Corotational 정식화를 이용하여 3차원 대변위가 발생하는 세장한 구조물의 후좌굴 해석을 성공적으로 수행하였다.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2007년도 정기 학술대회 논문집
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• pp.381-386
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• 2007

The present study is concerned with the application of Constant arc-length method that proposed by Crisfield in the investigation of the geometrically nonlinear behaviour of spatial structures composed by truss or beam element. The arc-length method can trace the full nonlinear equilibrium path of Spatial structure far beyond the critical point such as limit or bifurcation point. So, we have developed the constant arc-length method of Crisfield to analysis spatial structure. The finite element formulation is used to develop the 3d truss/beam element including the geometrical nonlinear effect. In an effort to evaluate the merits of the methods, extensive numerical studies were carried out on a number of selected structural systems. The advantages of Constant arc length method in tracing the post-buckling behavior of spatial structures, are demonstrated.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2005년도 추계학술대회 논문집
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• pp.410-413
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• 2005

The results of an experimental and analytical study of composite pressure hull on buckling pressure are presented for LRN 300. Composite tensile test was done to know the composite material properties applied FE analysis for URN composite. We predicted the buckling and post buckling analysis of composite laminated cylindrical panels under external compression by using ABAQUS /Standard[Ver 6.4]. To obtain nonlinear static equilibrium solutions for unstable problems, where the load-displacement response can exhibit the type of nonlinear buckling behavior, during periods of the response, the load and/or the displacement may decrease as the solution evolves, used the modified Riks method. The modified Riks method is an algorithm that allows effective solution of such cases [7]. Experiments were conducted to verify the validation of present analysis for cross-ply laminated shells. The shells considered in the study have two different lamination patterns, $[{\pm}45/0/90]_{18s\;and}\;[/0/90]_{18s}$. Cylindrical panel of experiment and analysis have the radius of 200mm, length of 210mm and 60 degree of cutting angle. The critical load from experiment is $69\%$ of that of numerical analysis, because the fracture of matrix was generated before buckling. So URN 300 is not proper to use at the condition under high external pressue.

• Structural Engineering and Mechanics
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• 제6권7호
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• pp.785-800
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• 1998

This paper deals with the nonlinear finite element analysis of fibre-reinforced plastic poles. Based on the principle of stationary potential energy and Novozhilov's derivations of nonlinear strains, the formulations for the geometric nonlinear analysis of general shells are derived. The formulations are applied to the fibre-reinforced plastic poles which are treated as conical shells. A semi-analytical finite element model based on the theory of shell of revolution is developed. Several aspects of the implementation of the geometric nonlinear analysis are discussed. Examples are presented to show the applicability of the nonlinear analysis to the post-buckling and large deformation of fibre-reinforced plastic poles.

• Advances in aircraft and spacecraft science
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• 제8권4호
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• pp.345-372
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• 2021

The analysis of nonlinear vibrations, buckling, post-buckling, flutter boundary determination and post-flutter behavior of a homogeneous curved plate assuming cylindrical bending is conducted in this article. Other assumptions include simply-supported boundary conditions, supersonic aerodynamic flow at the top of the plate, constant pressure conditions below the plate, non-viscous flow model (using first- and third-order piston theory), nonlinear structural model with large deformations, and application of mechanical and thermal loads on the curved plate. The analysis is performed with constant environmental indicators (flow density, heat, Reynolds number and Mach number). The material properties (i.e., coefficient of thermal expansion and modulus of elasticity) are temperature-dependent. The equations are derived using the principle of virtual displacement. Furthermore, based on the definitions of virtual work, the potential and kinetic energy of the final relations in the integral form, and the governing nonlinear differential equations are obtained after fractional integration. This problem is solved using two approaches. The frequency analysis and flutter are studied in the first approach by transferring the handle of ordinary differential equations to the state space, calculating the system Jacobin matrix and analyzing the eigenvalue to determine the instability conditions. The second approach discusses the nonlinear frequency analysis and nonlinear flutter using the semi-analytical solution of governing differential equations based on the weighted residual method. The partial differential equations are converted to ordinary differential equations, after which they are solved based on the Runge-Kutta fourth- and fifth-order methods. The comparison between the results of frequency and flutter analysis of curved plate is linearly and nonlinearly performed for the first time. The results show that the plate curvature has a profound impact on the instability boundary of the plate under supersonic aerodynamic loading. The flutter boundary decreases with growing thermal load and increases with growing curvature.

• Steel and Composite Structures
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• 제46권4호
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• pp.513-523
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• 2023

Buckling and post-buckling behaviors of geometrically perfect double-curvature shells made from smart composites have been investigated. The shell has been supposed to be exposed to transverse mechanical loading and magneto-electro-elastic (MEE) coupling. The composite shell has been made of two constituents which are piezoelectric and magnetic ingredients. Thus, the elastic properties might be variable based upon the percentages of the constituents. Incorporating small scale impacts in regard to nonlocal theory leads to the establishment of the governing equations for the double-curvature nanoshell. Such nanoshell stability will be shown to be affected by composite ingredients. More focus has been paid to the effects of small scale factor, electric voltage and magnetic intensity on stability curves of the nanoshell.

• Structural Engineering and Mechanics
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• 제15권2호
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• pp.225-238
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• 2003

In the present study, the finite strip analysis of a box girder to simulate a ship's hull model is carried out to investigate its inelastic post-buckling behavior and to predict its ultimate flexural strength. Residual stresses and initial geometrical imperfections are both considered in the combined material and geometrical nonlinear analysis. The von-Mises yield criterion and the Prandtl-Reuss flow theory of plasticity are applied in modeling the elasto-plastic behavior of material. The Newton-Raphson iterative process is also employed in the analysis to achieve convergence. The numerical results agree well with the experimental data. The effects of some material and geometrical parameters on the ultimate strength of the structure are also investigated.

• 한국항공우주학회지
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• 제41권11호
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• pp.865-873
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• 2013

본 논문에서는 유한요소해석에 의한 막재료의 주름 해석 기법에 관하여 연구하였다. 삼각형 세일 형상에 대해 멤브레인 요소와 쉘 요소를 사용하여 주름해석을 수행하였다. 멤브레인 요소를 이용한 기법에서는 주름을 벌칙매개변수에 의한 물성치를 수정하는 알고리즘을 상용프로그램 내 사용자 서브루틴을 통하여 구현하였다. 쉘 요소에 의한 기하학적 비선형 후좌굴 기법에서는 면외방향의 좌굴을 발생시키기 위하여 모델의 메쉬에 작은 크기의 기하학적 결함을 심는 방법을 사용하였다. 쉘 방법에서는 내연 및 외연해석 기법을 고려하였다. 요소수의 증가에 따른 수렴성과 결과의 정확도의 관점에서 멤브레인 요소법과 쉘 요소법의 효율성을 비교하였다.

• 전산구조공학
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• 제9권3호
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• pp.209-216
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• 1996

본 논문의 목적은 단층래티스 돔의 안정해석 기법을 제안하고, 다양한 조건하에서 단층 래티스 돔이 갖는 좌굴특성을 규명하는데 있다. 기하학적 비선형 평형경로의 탐색 및 좌굴점 그리고 분기경로의 방향 등을 수직적으로 계산하기 위하여 호장법(Arc-Length Method)을 이용하였으며, 부재의 좌굴가능성을 판단하기 위하여 에너지밀도함수를 제안하였다. 강절점을 갖는 구조물의 거동 특성을 규명하기 위하여 3종류의 비선형 강성행렬을 유도하여 해석하였으며, semi-rigid절점을 갖는 구조물을 해석하기 위하여 스프링모델을 제안하고, 부재의 세장비, 반개각, 경계조건 및 다양한 하중조건을 파라메터로하여 좌굴특성을 규명하였다.

• 한국공간구조학회:학술대회논문집
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• 한국공간구조학회 2008년도 춘계 학술발표회 논문집
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• pp.107-112
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• 2008

본 연구에서는 이산계열 대공간구조물의 크기최적화에 따른 후 좌굴거동의 변화에 대하여 조사하고 그 결과를 기술하였다. 본 연구에서는 35개의 부재를 가지는 얕은 아치형 2차원 공간트러스 구조물을 이용하여 연구를 수행하였다. 먼저 트러스의 최적의 부재 크기 패턴을 조사하기 위하여 수학적 프로그래밍 기법을 도입하였다. 이때 최소화해야하는 트러스의 전체 부재의 중량을 목적함수로 이용하고 하중이 가해지는 절점에서 발생하는 변위 값과 각 부재에서 발생하는 응력 값을 허용치 이하로 제한하는 제약조건으로 사용하였다. 크기최적화에서 도출된 트러스 구조물의 후좌굴 거동은 통합 비선형해석기법을 이용하여 조사 분석하였다. 본 연구에서 제시한 결과는 이산계열 대공간구조물의 설계에 기본 데이터로 유용하게 사용될 것으로 판단된다.