Robust topology optimization considering the uncertainty of load direction
Uncertainty of load is a common problem in the engineering field.In this paper,the robust topology optimization of a continuum with uncertain load directions was studied.Firstly,interval variables were used to describe the directional uncertainty.Subsequently,the disturbance in the direction of the nominal load was described by using the rotation matrix,and its sensitivity in any direction was obtained with the second-order Taylor expansion and the first and second derivatives of the compliance with respect to the angle of the nominal load by means the special property of the derivative of the rotation matrix.Finally,the SIMP model and the optimality criterion method(OC)were used to optimize the topology of the continuum with uncertain load directions.The optimization results obtained by this method showed that the compliances was insensitivity to the change of the load directions that the structural stiffness was more robust to external load in different directions.
万方数据
维普
