• Structural Engineering and Mechanics
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• 제20권4호
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• pp.389-403
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• 2005

In the present paper it is aimed to perform the stochastic dynamic analysis of fluid and fluidstructure systems by using the Lagrangian approach. For that reason, variable-number-nodes twodimensional isoparametric fluid finite elements are programmed in Fortran language by the authors and incorporated into a general-purpose computer program for stochastic dynamic analysis of structure systems, STOCAL. Formulation of the fluid elements includes the effects of compressible wave propagation and surface sloshing motion. For numerical example a rigid fluid tank and a dam-reservoir interaction system are selected and modeled by finite element method. Results obtained from the modal analysis are compared with the results of the analytical and numerical solutions. The Pacoima Dam record S16E component recorded during the San Fernando Earthquake in 1971 is used as a ground motion. The mean of maximum values of displacements and hydrodynamic pressures are compared with the deterministic analysis results.

• Structural Engineering and Mechanics
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• 제17권6호
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• pp.767-788
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• 2004

The classical 8-node isoparametric serendipity element uses parametric shape functions for both test and trial functions. Although this element performs well in general, it yields poor results under severe mesh distortions. The distortion sensitivity is caused by the lack of continuity and/or completeness of shape functions used for test and trial functions. A recent element using parametric and metric shape functions for constructing the test and trial functions exhibits distortion immunity. This paper discusses the choice of parametric or metric shape functions as the basis for test and/or trial functions, satisfaction of continuity and completeness requirements, and their connection to distortion sensitivity. Also, the performances of four types of elements, viz., parametric, metric, parametric-metric, and metric-parametric, are compared for distorted meshes, and their merits and demerits are discussed.

• Structural Engineering and Mechanics
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• 제68권6호
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• pp.639-646
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• 2018

The aim of the present paper deals with free vibration analysis of laminated composite skew plates with single and multiple cut-outs. For complete understanding of the dynamic behavior of laminated skew plates with cut-out a numerical analysis has been carried out by developing a computer code in FOTRAN. Special attention is drawn on the formulation of mass matrix by considering effect of rotary inertia. The results obtained by the finite element formulation using nine noded isoparametric plate bending element are validated by comparing the results from relevant published literature. Few new results on laminated skew plates with cut-out have been presented.

• Advances in nano research
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• 제7권3호
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• pp.181-190
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• 2019

The thermal buckling temperature values of the graded carbon nanotube reinforced composite shell structure is explored using higher-order mid-plane kinematics and multiscale constituent modeling under two different thermal fields. The critical values of buckling temperature including the effect of in-plane thermal loading are computed numerically by minimizing the final energy expression through a linear isoparametric finite element technique. The governing equation of the multiscale nanocomposite is derived via the variational principle including the geometrical distortion through Green-Lagrange strain. Additionally, the model includes different grading patterns of nanotube through the panel thickness to improve the structural strength. The reliability and accuracy of the developed finite element model are varified by comparison and convergence studies. Finally, the applicability of present developed model was highlight by enlighten several numerical examples for various type shell geometries and design parameters.

• Structural Engineering and Mechanics
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• 제70권1호
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• pp.125-131
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• 2019

A nine node isoparametric plate bending element is used for bending analysis of laminated composite skew cylindrical shell panels. Both thick and thin shell panels are solved. Rotary inertia and shear deformation are incorporated by considering first order shear deformation theory. The analysis is performed considering shallow shell theory. Both shallow and moderately deep skew cylindrical shells are investigated. Skew cylindrical shell panels having different thickness ratios (h/a), radius to length ratios (R/a), ply angle orientations, number of layers, aspect ratio (b/a), boundary conditions and various loading (concentrated, uniformly distributed, linear varying and doubly sinusoidal varying) conditions are analysed. Various new results are presented.

• 한국정밀공학회지
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• 제10권3호
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• pp.87-96
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• 1993

In this study, the peak stress of a fuillet in elastic structure was optimized to have minimum value by using quadratic isoparametric element. The method of auomatic gridding was also developed along with shape algorithm and design element technique was adopted in selecting design variables. The computer program developed was combined with the Hooke-Jeeves direct algorithm of optimization techniques in order to minimize the peak stress of the fillet. The imployment of design element technique significantly cut down computer time by the reduction in design variables, and the opitmum fillet shape with uniform minimum stress was obtained by varying design variables along x and y directions in improving the shape compared to other results. By using automatic gridding, in which Bezier surfaces and Coons surfaces of cubic interpolation were employed, the irregular boundary was removed resulting in smoother anbd more accurate fillet shape possessing uniform minimum stress.

• 수산해양기술연구
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• 제31권4호
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• pp.423-434
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• 1995

수산업분야의 생력화와 조업공정의 단축으로 새로운 활로를 개척할 수 있는 방안으로 보조기계들의 유압화 및 대형화에 사용되는 후벽 유압실린더는 작동응력 거동의 분석과 파손예측의 정확성이 강구되어야만 기계고장으로 인한 해난사고의 개연성을 미연에 감소시킬 수 있다. 균일한 내압을 받는 대형선박용 유압실린더를 수치해석적 방법인 경계요소법을 사용하여 각종 응력 해석의 시도는 엄밀해나 유한요소법의 결과와 비교적 양호하게 일치하고 있다. 축대칭 형상에 대한 반경방향 응력이나 원주방향 응력의 BEM 해석결과는 단일절점과 이중절점 모두 최대 25MPa의 압축응력이나 최대 52MPa의 인장응력이 작용하고 있으므로 재료의 허용응력내에서 작동하고 있음을 알 수 있다. 이중절점 형상함수(double node shape function)를 사용하여 원통형 형상의 구조물에 대한 수치계산 결과의 정확도를 높힐수 있었으며 입력데이터의 증가는 오차감소에 기여하였으나 프로그램의 실행시간(run-time)을 증가시켰다. 코너에서의 트랙션벡터의 불연속 현상을 해결하기 위한 이중절점의 사용은 영역 내부해의 안정성을 확보하였고 경계부근에서의 내부해의 발산을 제거하기 위한 이중지수형 적분법 사용은 해석결과의 오차를 효과적으로 감소시켰다.

• 한국강구조학회 논문집
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• 제14권6호
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• pp.701-710
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• 2002

본 연구에서는 개단면 리브를 갖는 보강판이 직교이방성 특성을 고려한 직교이방성 판 요소 프로그램을 개발하고, 여러가지 보강판에 대한 민감도 분석 및 매개변수 연구를 통하여 보강판의 직교이방성 거동 특성 및 본 프로그램의 적용성을 살펴보았다. 먼저 보강재만의 관성 모멘트를 강판만의 관성 모멘트로 나눈 값을 관성 모멘트 비라 정의하고, 여러가지 보강판에 대한 민감도 분석을 실시하였다. 보강판의 직교이방성 거동을 규명하였다. 본 프로그램의 적용성을 살펴보기 위하여, 여러가지 보강판에 대한 매개변수 연구를 수행하고, 최대 처짐에 대한 결과를 등팡성 판 요소를 이용한 ABAQUS의 결과와 비교하였다. 비교 결과, 두 결과가 잘 일치하는 특정 모멘트 비를 직교이방성 판으로 해석할 수 있는 기준으로 제안하였으며, 두 결과 사이의 오차율을 관성 모멘트 비의 함수 식으로 표현하였다. 따라서, 개단면 리브로 보강된 판을 직교이방성 판으로 해석하기 위해서는 제안한 특정 관성 모멘트 비 이상의 값을 가져야 안전측의 결과를 얻으며, 또한 본 연구에서 제안한 상관 함수를 이용하여 결과를 보정하면 간편하게 타당한 결과를 얻을 수 있을 것으로 사료된다.

• Journal of Theoretical and Applied Mechanics
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• 제3권1호
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• pp.45-65
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• 2002

A constitutive model on oorthotropic thermo-elasto-viscoplasticity for fiber-reinforced composite materials Is illustrated, and their thermomechanical responses are predicted with the fully-coupled finite element formulation. The unmixing-mixing scheme can be adopted with the multipartite matrix method as the constitutive model. Basic assumptions based upon the composite micromechanics are postulated, and the strain components of thermal expansion due to temperature change are included In the formulation. Also. more than two sets of mechanical variables, which represent the deformation states of multipartite matrix can be introduced arbitrarily. In particular, the unmixing-mixing scheme can be used with any well-known isotropic viscoplastic theory of the matrix material. The scheme unnecessitates the complex processes for developing an orthotropic viscoplastic theory. The governing equations based on fully-coupled thermomechanics are derived with constitutive arrangement by the unmixing-mixing concept. By considering some auxiliary conditions, the Initial-boundary value problem Is completely set up. As a tool of numerical analyses, the finite element method Is used with isoparametric Interpolation fer the displacement and the temperature fields. The equation of mutton and the energy conservation equation are spatially discretized, and then the time marching techniques such as the Newmark method and the Crank-Nicolson technique are applied. To solve the ultimate nonlinear simultaneous equations, a successive iteration algorithm is constructed with subincrementing technique. As a numerical study, a series of analyses are performed with the main focus on the thermomechanical coupling effect in composite materials. The progress of viscoplastic deformation, the stress-strain relation, and the temperature History are careful1y examined when composite laminates are subjected to repeated cyclic loading.

• Structural Engineering and Mechanics
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• 제2권4호
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• pp.359-367
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• 1994

The stability behaviour of symmetrically laminated rectangular composite plates with loaded ends clamped and unloaded edges simply-supported, and subjected to uniform in-plane compression is investigated. A numerical and experimental investigation is presented in this contribution. The stacking sequence of the laminated glass/epoxy composite plates is symmetric about the middle surface and consists of 8-ply [0, 90, +45, -45]s lamination. Numerical predictions were obtained through the use of the finite element method. The above plates were modelled with 8-noded isoparametric layered shell elements. The effect of the input parameters such as the degree and forms of prescribed initial imperfection and the incremental step size required for incremental loading, on the convergence of the solution is thoroughly examined. Experimental results are presented for 10 test panels. All test panels were made from glass/epoxy unidirectional prepregs and have aspect ratio of 5.088. The laminate thicknesses were found to vary from 1.054 mm to 1.066 mm. Comparison of experimental data with predicted results show good correlation and give confidence in the finite element model.