Shape Optimization and Parametric Modeling

Publications

Case Studies in Metamodeling and Random Search Techniques

Using parametric geometry definitions in LS‑OPT, this paper evaluates response‑surface, neural‐network, and Kriging surrogates for crashworthiness shape optimization against a sequential random search. It highlights how surrogate‐based parametric modeling accelerates convergence and captures complex buckling and impact behavior. The work provides practical guidelines for selecting metamodeling strategies in parametric shape optimization.

On the Robustness of a Simple Domain Reduction Scheme for Simulation-Based Optimization

Nielen Stander, K.J. Craig

This paper presents the SRSM approach, a simulation-driven optimization framework using parametric modeling and adaptive response surfaces. It enables efficient shape optimization even in the presence of noise and nonlinearity by reducing the design domain based on predictive criteria. Engineering examples, including crash and impact simulations, show its effectiveness in converging to robust, high-performance designs.

Analyzing 'Noisy' Structural Problems with LS-OPT: Probabilistic and Deterministic Fundamentals

Willem Roux, Nielen Stander

This study presents a framework for handling noisy structural simulations through probabilistic and deterministic analysis using LS-OPT. Parametric modeling and shape optimization are used to distinguish controllable design influences from inherent variability, enabling more robust structural performance evaluations. Case studies illustrate how these tools improve prediction accuracy and guide design decisions under uncertainty.

Shape Adaptive Airfoils for Turbomachinery Applications: Simulation and Optimization

May 2, 2025//Tobias Muller, Martin Lawerenz

This paper investigates shape-adaptive airfoils for turbomachinery using parametric modeling and shape optimization. It applies LS-OPT and TrueGrid® to explore structural deformation mechanisms and optimize airfoil shape for aerodynamic performance. The results validate the use of parametric geometric control in designing smart, deformable components.

Shape Optimization for Crashworthiness using LS-OPT and Distributed Computing

This study applies parametric modeling and shape optimization to improve the crash performance of vehicle instrument panels. By integrating LS-OPT with TrueGrid and LS-DYNA, the team varied geometric parameters of key components to minimize occupant knee forces. Distributed computing enabled efficient exploration of a complex design space, yielding significant performance gains.