• 한국농공학회지
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• 제39권4호
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• pp.106-113
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• 1997

Dynamic loading of structures often causes excursions of stresses well into the inelastic range, and the influence of the geometric changes on the dynamic response is also significant in many cases. Therefore, both material and geometric nonlinearity effects should be considered in case that a dynamic load acts on the structure. A structure in a nuclear power plant is a structure of importance which puts emphasis on safety. A nuclear container is a pressure vessel subject to internal pressure and this structure is constructed by a reinforced concrete or a pre-stressed concrete. In this study, the material nonlinearity effect on the dynamic response is formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a total Lagrangian coordinate system, and the equilibrium equation of motion is numerically solved by a central difference scheme. The constitutive relation of concrete is modeled according to a Drucker-Prager yield criterion in compression. The reinforcing bars are modeled by a smeared layer at the location of reinforcements, and the steel layer model under Von Mises yield criteria is adopted to represent an elastic-plastic behavior. To investigate the dynamic response of a nuclear reinforced concrete containment structure, the steel-ratios of 0, 3, 5 and 10 percent, are considered. The results obtained from the analysis of an example were summarized as follows 1. As the steel-ratio increases, the amplitude and the period of the vertical displacements in apex of dome decreased. The Dynamic Magnification Factor(DMF) was some larger than that of the structure without steel. However, the regular trend was not found in the values of DMF. 2. The dynamic response of the vertical displacement and the radial displacement in the dome-wall junction were shown that the period of displacement in initial step decreased with the steel-ratio increases. Especially, the effect of the steel on the dynamic response of radial displacement disapeared almost. The values of DMF were 1.94, 2.5, 2.62 and 2.66, and the values increased with the steel-ratio. 3. The characteristics of the dynamic response of radial displacement in the mid-wall were similar to that of dome-wall junction. The values of DMF were 1.91, 2.11, 2.13 and 2.18, and the values increased with the steel-ratio. 4. The amplitude and the period of the hoop-stresses in the dome, the dome-wall junction, and the mid-wall were shown the decreased trend with the steel-ratio. The values of DMF were some larger than those of the structure without steel. However, the regular trend was not found in the values of DMF.

• 한국전산구조공학회논문집
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• 제20권2호
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• pp.113-125
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• 2007

탄성지반 위의 비대칭 개/폐단면의 박벽보에 대한 탄성해석 및 안정성해석을 수행하기 위해 엄밀한 강성행렬을 계산하기 위한 개선된 수치해석 기법을 새롭게 제시한다. 본 연구에서 제시한 수치해석기법은 박벽보의 안정성 해석을 위한 엄밀한 강성행렬을 산정하는 선행된 수치해석기법의 결점을 보완하고 있다. 본 연구에서 제시한 기법은 일반화된 고유치 문제에 관한 해를 얻는 것으로서 일반화된 14개의 변위에 대한 고유치 문제를 평형방정식에 관한 1차의 연립상미분 방정식으로 변환함으로써 얻어진다. '0'의 고유치에 대응되는 변위파라미터에 대해 다항식이 가정되며 항등조건으로부터 '0'의 고유치의 수와 동일한 미결정된 파라미터를 포함하는 고유 모우드가 결정되고 이로부터 'non-zero'의 고유치와 다항식의 해를 조합함으로써 엄밀한 변위함수가 결정된다. 이후 부재력-변위의 관계를 이용하여 엄밀한 강성행렬을 산정하게 된다. 본 연구에서 개발한 수치해석 기법의 타당성을 검증하기 위해서 본 연구에서 제시한 이론에 의한 해를 제시하고 보요소 및 쉘요소을 사용한 유한요소해와 비교 검토한다.