By solving the Gauss integral with trigonometric functions, a series of mean functions describing the load uncertainty are proposed, and the exact analytical formulas for compliance expectation and variance are given. Numerical examples are given to illustrate the accuracy and accuracy of the method. By using the derived analytical formula, a robust topology optimization problem with the objective of flexibility expectation is solved, and the configuration design of a typical design example is obtained. The design results show that the uncertainty of the load size and direction has a significant impact on the results of structural topology optimization, and the correctness of the analytical formula and the validity of the topology optimization model are also verified.

Filename	Size	Update
Copy_4_of_top88_2.m	6347	2015-01-28

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