ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Lightweight design method for continuum structure under vibration using multiphase materials
Received date: 2016-12-05
Revised date: 2017-05-31
Online published: 2017-05-31
Supported by
National Natural Science Foundation of China (51405123);Fundamental Research Funds for the Central University (2017MS077)
To achieve light design of continuum structure containing multiphase materials,a topological optimization model for weight minimization with the given eigenvalue constraint is proposed using the independent continuous mapping method.Two sets of independent topological variables are employed to interpolate the elemental stiffness matrix,the mass matrix and weight.The sensitivity expressions for the eigenvalue and total weight are derived.The approximations of the eigenvalue and total weight can be obtained via the first-order and second-order Taylor expansion.The filtering technique for the first term of the constraint function is adopted as a solution to the partial differential equation.The numerical instabilities including checkerboard patterns and mesh dependence are removed.The feasibility and superiority of the proposed method are validated by two-dimensional numerical examples.The results show that the weight of the optimal structure constructed by multiphase materials is lighter than that composed of constituent phase.The mode switch can be prevented by imposing the constraint on the gap of the adjacent frequency or additional high order frequency constraint.
LONG Kai , GU Xianguang , WANG Xuan . Lightweight design method for continuum structure under vibration using multiphase materials[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017 , 38(10) : 221022 -221022 . DOI: 10.7527/S1000-6893.2017.221022
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