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重点研究堆芯多组件的接触非线性计算理论,证明俄罗斯学者Likhachev发展的方法的可扩展性和解决中国实验快堆(CEFR)堆芯组件变形接触计算的可行性。在Likhachev发展的组件接触非线性方法基础上,考虑组件有3个可能的接触高度,建立变形协调条件和系统势能方程,利用最小势能原理求解接触力。为了简化推导,使用正交变换和拉格朗日对偶问题变换等方法。研究结果将接触非线性计算化为带不等式约束条件的二次函数极值优化问题。结论:Likhachev方法可以由2个接触高度扩展到3个接触高度,具备一般性;多组件接触非线性转化为最优化数学理论中的常规问题,数值上可解。
It focuses on the nonlinear contact theory of multi-component reactor core, and proves the scalability of the method developed by Russian scholar Likhachev and the feasibility of calculating the contact deformation of CEFR core assembly. Based on the nonlinear contact method developed by Likhachev, three possible contact heights of components are considered, the deformation coordination conditions and system potential equations are established, and the contact force is solved by the principle of minimum potential energy. In order to simplify the derivation, methods such as orthogonal transformation and Lagrange dual problem transformation are used. The result of the study is that the contact nonlinearity is computed as quadratic function extreme value optimization problem with inequality constraints. CONCLUSION: The Likhachev method can be extended from two contact heights to three contact heights with generality. The non-linearity of multi-component conversions into the conventional problems in the mathematical optimization theory is numerically solvable.