Prediction formulas of ultimate strength of hull stiffened plate based on elastic shakedown limit state under in-plane cyclic loading
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摘要: 【目的】为了准确评估船体结构在循环载荷下的极限承载性能,有必要考虑载荷的循环属性对船体加筋板极限强度的影响。【方法】采用有限元软件ANSYS对200块T型加筋板与扁钢加筋板,开展了面内循环载荷下达到弹性安定临界状态的极限强度数值模拟计算。细致考虑了船体加筋板在面内循环载荷下的材料鲍辛格效应,焊接初始变形与残余应力。【结果】基于加筋板弹性安定临界状态“上限”与“下限”的非线性有限元数值模拟结果。以加筋板无量纲极限强度作为目标函数,船体板和加强筋的柔度系数作为自变量,提出了面内循环载荷下基于弹性安定临界状态的船体加筋板极限强度预测公式。【结论】通过与非线性有限元分析结果的比较,验证了该公式的准确性。本文所做工作对循环载荷下船体加筋板的极限强度评估,具有较好的理论与工程意义。Abstract: [Objectives] In order to accurately assess the ultimate load carrying performance of the hull structure under cyclic loading, it is necessary to consider the effect of cyclic properties of the load on the ultimate strength of the hull stiffened plate. [Methods] The finite element software ANSYS was used to carry out the numerical simulation of ultimate strength based on elastic shakedown state under in-plane cyclic loading for 200 T-bar stiffened plates and flat-bar stiffened plates. The material Bauschinger effect, initial welding deformation and residual stresses of the hull stiffened plate under in-plane cyclic loading were considered in detail. [Results] Based on the results of the nonlinear finite element numerical simulation of the “upper” and “lower” limits of the elastic shakedown critical state of the stiffened plate. With the dimensionless ultimate strength of the stiffened plate as the objective function and the flexibility coefficients of the plate and stiffened plate as the independent variables, the prediction equation of the ultimate strength of the stiffened plate based on the elastic shakedown critical state under in-plane cyclic loading is proposed. [Conclusions] The accuracy of the formulation is verified by comparing it with the results of nonlinear finite element analysis. The work done in this study has good theoretical and engineering significance for the ultimate strength assessment of hull stiffened plates under cyclic loading.
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Key words:
- in-plane cyclic loading /
- elastic shakedown /
- hull stiffened plates /
- ultimate strength
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