Analyzing and Optimization of Bending Beam via the Wave Method
摘要
The optimization of structural elements is commonly achieved through numerical, heuristic, and finite element method (FEM) optimization techniques. This paper introduces the fundamentals of a novel approach, Wave Method Optimization (WMO). WMO presents an innovative methodology for determining stress distribution within structural elements, followed by optimization through two distinct strategies such as maximizing the elements load-bearing capacity or reducing material in low-stress regions to achieve weight savings. The core principle of WMO involves distributing the applied load to the contour of the structure and subsequently redistributing it through counter-waves, ensuring equilibrium at the boundaries. This process enables the precise determination of stress distribution at each point within the element. This research focuses on the application of WMO to a beam subjected to bending, where traditional material resistance criteria are not met. To assess the accuracy of this approach, the results obtained via WMO are compared with those from the FEM.