Study On Evolutionary Structural Optimization Method And Its Application In Topological Optimization Of Revolving Body

The development of science and technology makes higher requriements forstructural performance and economical efficiency and promote the study of the methodof design which is developing rapidly. Structure optimization design is such a rapiddevelopment of the design field and makes designer more active and creative. And thestructural topology optimization is the foundation shape, size optimization design.As an important form of the structure, revolving body’s the topological formgreatly affects its mechanical properties. Meanwhile, the rotational inertia of thestructure plays an important role in energy storage and regulation of speed fluctuation.In this paper a study of the topology optimization of evolving body about stiffness,rotation inertia and volume is done using ESO.This paper deduced the formula of element stiffness sensitivity under centrifugalforce, then the topology of plane and three dimensional revolving body using "hard-kill"bi-directional evolutionary structural optimization(BESO). According to the principle ofmultiplying-dividing method in multiobjective optimization, put forward a multiplyingelement sensitivity method in BESO. And realize multi-objective topology optimizationdesign of a automobile driving plate and a flywheel successfully. Meanwhile point outspecial failure situation. According to the different distribution regularity betweenstiffness and inertia sensitivity, put forward a secondary sensitivity treatmenttechnology to balance the influence about elemet removement of these two differenttypes of sensitivity. then point out this method is a kind of special filter technology.Bring forward an optimization method to deal with maximzing stiffness andconstraining rotational inertia that the evolutionary change of structure is still based onthe evolution rate of volume using BESO caused certain rotational inertia containuncertain number of element; while the rotational inertia satisfy the constraint condition,should increase volume as much as to maximizing the structural stiffness. Furthermorediscusse the optimization problem of multi-constraint of volume and rotational inertiawhich stiffness as an optimization objective. When the volume satisfy constraint butrotational inertia violate constraint, the Lagrange function is constructed whichelement’s rotational inertia consisted in sensitivity, so that rotational inertia can gradually approximate to constraints. The numerical examples show validity andeffectiveness of this method.