Optimization of geometric parameters and non-uniform arrangement along the axial for the honeycomb core cell using the static condensation
An optimization method simultaneously designing the geometric parameters of the cell and non-uniform arrangement along the axial is developed using the static condensation to enhance the strength and stiffness of the honeycomb structure effectively.The equivalent elastic modulus and Poisson's ratio of the cell are derived by the Castigliano theorem.The honeycomb core is uniformly divided into several substruc-ture columns along the axial,and the stiffness matrixes of the substructures are obtained by finite element method.The super-element stiffness matrixes are established using the static condensation and are assem-bled according to the node number to obtain the global stiffness matrix of the honeycomb core.The struc-tural deformation of the honeycomb core is calculated under the shear load and compared with that from ANSYS software.The multi-objective structural optimization model,in which the number of the substruc-tures,the angle of the cell and the ratio of splitter width to inclined wall length are taken as design varia-bles,is solved using the improved particle swarm algorithm to maximize the equivalent elastic modulus and minimize the structural deformation,and the static and dynamic characteristics of original and optimized honeycomb cores are analyzed.The results show that after the optimization,the maximum displacement,stress and strain obviously decrease,and the harmonic displacement is the maximum when the excitation frequency is equal to the second-order natural frequency.The research can provide significant guidance for optimizing the variable cell arrangement of the honeycomb structure.
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维普
