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A mathematical framework for contact detection between quadric and superquadric...
Lopes, Daniel S.; Silva, Miguel T.; Ambrósio, Jorge A.; Flores, PauloThe calculation of the minimum distance between surfaces plays an important role in computational mechanics, namely, in the study of constrained multibody systems where contact forces take part. In this paper, a general rigid contact detection methodology for non-conformal bodies, described by ellipsoidal and superellipsoidal surfaces, is presented. The mathematical framework relies on simple algebraic and diff...
Sensitivity analysis of flexible multibody systems using composite materials co...
Neto, Maria Augusta; Ambrósio, Jorge A. C.; Leal, Rogério PereiraIn this paper, a general formulation for the computation of the first-order analytical sensitivities based on the direct method using automatic differentiation of flexible multibody systems is presented. The direct method for sensitivity calculation is obtained by differentiating the equations that define the response of the flexible multibody systems of composite materials with respect to the design variables,...
Composite materials in flexible multibody systems
Neto, Maria Augusta; Ambrósio, Jorge A. C.; Leal, Rogério P.In this work the flexible multibody dynamics formulations of complex models are extended to include elastic components made of laminated composite materials. The only limitation for the deformation of a structural member is that it must be elastic and linear when described in a body fixed frame. A finite element model for each flexible body is obtained such that the nodal coordinates are described with respect ...
Flexible Multibody Systems Models Using Composite Materials Components
Neto, Maria Augusta; Ambrósio, Jorge A. C.; Leal, Rogério PereiraThe use of a multibody methodology to describe the large motion of complex systems that experience structural deformations enables to represent the complete system motion, the relative kinematics between the components involved, the deformation of the structural members and the inertia coupling between the large rigid body motion and the system elastodynamics. In this work, the flexible multibody dynamics formu...
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