Software Systems for Structural Optimization Structural optimization — a survey Mathematical optimization: an introduction Design optimization with the finite element program ANSYSR B&B: a FE program for cost minimization in concrete design The CAOS system Shape optimization with program CARAT DYNOPT: a program system for structural optimization weight minimum design with respect to various constraints MBB Lagrange: a computer aided structural design system The OASIS ALADDIN structural optimization system The structural optimization system OPTSYS SAPOP: an optimization procedure for multicriteria structural design SHAPE: a structural shape optimization program STARS: mathematical foundations. Herbert Hornlein Klaus Schittkowski The finite element method (FEM) has been used successfully for many years to simulate and analyse mechanical structural problems. The results are accepted or rejected by means of comparison of state variables (stresses displacements natural frequencies etc.) and user requirements. In further analyses the design variables will be updated until the user specifications are met and the design is feasible. This is the primary aim of the design process. On this set of feasible designs the additional requirement given by an objective function (e.g. weight stiffness efficiency etc.) defines the structural optimization problem. In recent years more and more finite element based analysis systems were ex­ tended and offer now optimization modules. They proceed from the design model as defined for structural analysis to perform an internal adaption of design pa­ rameters based on formal mathematical methods. Despite of many common features there are significant differences in the selected optimization strategy the current implementation and the numerical results.