Structural Topology Optimization Considering Attitude Control Effort

Topology Optimization of Continuum Structures is a subject about research the optimal distributing of material. For more than ten years, the theory of this subject is more and more concerned at the domain of theoretical study and engineering application. Furthermore, Topology Optimization of Continuum Structures is one of the most challenging subjects at the domain of structural optimization. The method of optimal problem includes two categories, one is macro method such as bubble method, LSM method and the other one is micro method such as homogenization method, SIMP method .In my paper, the researching emphasis is 3-D solid structures topology optimization considering attitude control effort based on SIMP method.A kind of isotopic solid material that the density is alterable is introduced in SIMP method. The density is the design variable. The relation between material parameter and density is artificially assumed, and some kind of strategy is used to interpret the distribution of material density in the optimal result. Recently, academic research points out that the supposition of artificial material has actual background, which can consolidate the academic base of this method.This paper addresses the topology optimization of space vehicle components for reducing the attitude control efforts. The driving torque requirements for attitude control of a space vehicle are typically closely related to the mass moment inertia of the system. Particularly, as shown by the present study, the air consumption for attitude control actuators using compressed cool air is proportional to the mass moment of inertia. In such circumstances, it is meaningful to reduce the mass moment of inertia of the structural components in order to minimize the attitude control efforts.Furthermore, this paper studies the problem settings and numerical solution techniques for topology optimization of 3-D solid structures considering mass moment of inertia. Continuum topology optimization problems are conventionally formulated as to minimize the structural compliance under material volume constraint. As pointed out in this paper, it is more desirable to impose constraints on the mass moment of inertia in some applications regarding topology optimization of rotational structures. The topology optimization problems for minimization of structural compliance under a single constraint or multiple constraints involving mass moment of inertia are formulated. The Optimality Criteria method for the conventional topology optimization problem, the optimum layout of a specified volume ofmaterial for minimization of the structural compliance, is extended to the proposed single-constraint problem. Thereby a heuristic resizing scheme based on the Karush-Kuhn-Tucker condition is applied for design-variable updating. In the cases involving multiple constraints concerning both the moment of inertia and the material volume, a mathematical programming approach is used for solving the optimization problem. Numerical examples have demonstrated the feasibility of the problem statements and the numerical methods. It is also revealed that the optimal material layouts obtained with the present problem setting are notably different from those with conventional problems.The research of this dissertation is supported by the National Natural Science Foundation of China. (90305019).