OPTIMAL SIZE, SHAPE AND CONTROL DESIGN IN DYNAMICS OF PLANAR FRAME STRUCTURES UNDER LARGE DISPLACEMENTS AND ROTATIONS

Matija Gams (1) , Miran Saje (2) , Igor Planinc (2) , Marko Kegl (3)

1 ZAG - Slovenian National Building and Civil Engineering Institute = Zavod za gradbeništvo Slovenije (Ljubljana)
2 Faculty of Civil and Geodetic Engineering
3 FME - Faculty of Mechanical Engineering [Maribor]

Size, shape, and drive optimization procedures are combined with an energy-conserving time integration scheme for the dynamic analysis of geometrically non-linear frame structures undergoing large overall motions. The solution method is based on the finite element formulation. Finite axial, bending and shear strains are taken into account. Size, shape, and drive design variables are introduced into the model. Shape parameterization is achieved by the design element technique, utilizing Bezier bodies. The sensitivity analysis is performed by the discrete approach and the analytical direct differentiation method. A gradient-based optimization method, utilizing an automatically adjustable convex approximation technique, is employed. The efficiency and the applicability of the approach are demonstrated via numerical examples. The shape and the drive function of a load moving robot arm are optimized to reduce oscillations in its final position. The shape of a steel frame is optimized to reduce oscillations after an idealized ground motion jerk.

Mots clés: Physical Sciences

Matija Gams, Miran Saje, Igor Planinc, Marko Kegl. OPTIMAL SIZE, SHAPE AND CONTROL DESIGN IN DYNAMICS OF PLANAR FRAME STRUCTURES UNDER LARGE DISPLACEMENTS AND ROTATIONS. Engineering Optimization, 2009, 42 (01), pp.69-86. ⟨10.1080/03052150902998552⟩. ⟨hal-00546868⟩