OPTIMIZATION AND ENGINEERING, 2025 (SCI-Expanded, Scopus)
Modeling and optimization of an oleo-pneumatic landing gear are challenging problems directly affecting the aircraft weight. The objective is to ensure adequate energy absorption while minimizing the peak force and adhering to a specified stroke constraint. However, the optimization requires the numerical solution of the dynamic force and position response of landing gear model, which makes direct application of the common deterministic optimization methods to this problem implausible. This paper proposes to represent the dynamic response of the landing gear, by utilizing an equivalent convex second order model. For that purpose first, a complete model of a two-stage, valve-metered articulated type landing gear is constructed. Then, a convex second order model is fitted by utilizing the dynamic model response. The optimization is carried out through this fitted convex model. Additionally, between the modeling and optimization stages, a global sensitivity analysis is also conducted for reducing the problem size. For the fitting step, special attention is given for assuring the convexity of the fitted model by exploiting the Cholesky decomposition of the Hessian of the objective function. Finally, the cost and performance of the developed Convex RSM algorithm are assessed comparatively with the widely used genetic algorithm and the dynamic responses of the two landing gear designs obtained by these two optimization approaches have been presented.