کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
568097 | 1452170 | 2010 | 6 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Development and validation of a numerical topology optimization scheme for two and three dimensional structures Development and validation of a numerical topology optimization scheme for two and three dimensional structures](/preview/png/568097.png)
A novel finite element topology optimization procedure is presented based on the application of probability density and cumulative distribution functions. The procedure utilizes a family of Beta functions with constant probability mean which provide a smooth transition from a uniform to a bi-modal density distribution while conserving constant mean density and therefore constant mass. Validation of the method is demonstrated for several well-known two-dimensional minimum-weight structures. A general minimum-weight cylindrical structural layout for the support of any combination of axial and torsional loading has been developed to provide a test case for three dimensional numerical topological optimization. It is observed that this solution presents a challenge, especially for cases where the axial load is significantly larger than the torsional loading. For these cases, slender members are an essential part of the optimal topology.
Journal: Advances in Engineering Software - Volume 41, Issues 7–8, July–August 2010, Pages 910–915