Abstract

Due to its ease of implementation, the sweep generation of solid models is a widely accepted technique in dealing with complex shapes occurring in mechanical elements such as turbine blades and bevel gears. A key issue in the geometric and mechanical analyses of such elements is the accurate and economic computation of their volumetric properties, namely, their volume, centroid coordinates and inertia tensor. A method is proposed here for the computation of these properties for sweep-generated solids based only on their 2D generating contour and their sweeping parameters. Thus, the direct 3D calculations of the volumetric properties of such solids are reduced to simple 2D calculations. Comparisons of numerical results are presented, which show that the volumetric properties of sweep-generated solids can be effectively performed in a computationally reduced fashion which, additionally, enhances the accuracy of the computed values.

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