Finite Element Synthesis for Design Optimization

The present work introduces a new Finite Element methodology that can be used directly in calculating and optimizing the thickness of a mechanical structure. This method depends on the constant strain triangle model after assuming different thicknesses at the elements nodes. A linear relation between the nodes thicknesses is assumed and a new stiffness matrix is created. Nodes thicknesses are optimized using the developed HGP method to reach uniform stress among the structure to satisfy the constrained allowable stress designated by the designer. Examples and sample applications are employed for comparisons and their results culminate in removing unnecessary elements and increasing the thickness, which is subjected to high stresses. Results indicate marked improvements and potential for topology optimization.