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Статті в журналах з теми "Poutre géométriquement exacte"
Al Mikdad, Mazen, and Adnan Ibrahimbegovic. "Dynamique et schémas d'intégration pour modèles de poutres géométriquement exacts." Revue Européenne des Éléments Finis 6, no. 4 (January 1997): 471–502. http://dx.doi.org/10.1080/12506559.1997.10511286.
Повний текст джерелаДисертації з теми "Poutre géométriquement exacte"
Chhang, Sophy. "Energy-momentum conserving time-stepping algorithms for nonlinear dynamics of planar and spatial euler-bernoulli/timoshenko beams." Thesis, Rennes, INSA, 2018. http://www.theses.fr/2018ISAR0027/document.
Повний текст джерелаIn the first part of the thesis, energymomentum conserving algorithms are designed for planar co-rotational beams. Both Euler-Bernoulli and Timoshenko kinematics are addressed. These formulations provide us with highly complex nonlinear expressions for the internal energy as well as for the kinetic energy which involve second derivatives of the displacement field. The main idea of the algorithm is to circumvent the complexities of the geometric non-linearities by resorting to strain velocities to provide, by means of integration, the expressions for the strain measures themselves. Similarly, the same strategy is applied to the highly nonlinear inertia terms. Next, 2D elasto-(visco)-plastic fiber co-rotational beams element and a planar co-rotational beam with generalized elasto-(visco)-plastic hinges at beam ends have been developed and compared against each other for impact problems. In the second part of this thesis, a geometrically exact 3D Euler-Bernoulli beam theory is developed.The main challenge in defining a three-dimensional Euler-Bernoulli beam theory lies in the fact that there is no natural way of defining a base system at the deformed configuration. A novel methodology to do so leading to the development of a spatial rod formulation which incorporates the Euler-Bernoulli assumption is provided. The approach makes use of Gram-Schmidt orthogonalisation process coupled to a one-parametric rotation to complete the description of the torsional cross sectional rotation and overcomes the non-uniqueness of the Gram-Schmidt procedure. Furthermore, the formulation is extended to the dynamical case and a stable, energy conserving time-stepping algorithm is developed as well. Many examples confirm the power of the formulation and the integration method presented
Primault, Dominique. "Modélisation géométriquement exacte de poutres fines : application à la robotique." Nantes, 2003. http://www.theses.fr/2003NANT2030.
Повний текст джерелаMejia, Nava Rosa Adela. "Contrôle de l'instabilité et des vibrations de la structure pour les charges non conservatrices." Electronic Thesis or Diss., Compiègne, 2020. http://www.theses.fr/2020COMP2577.
Повний текст джерелаIn the first part of this thesis we study the control of instability and vibrations of slender structures under conservative loads. The first difficulty we study pertains to nonlinear geometric instability problem, asillustrated with a deep and a shallow truss, or yet a frame structure. The corresponding control strategy considers adding damping from either a viscous damper or a friction device. This kind of control belongs to the well-known concept of passivity. In the second part of the thesis we propose numerical solution procedures for solving the instability problems under both conservative and non-conservative loads. The proposed procedure is validated against the known analytical and semianalytic solutions when available for few academic cases, previously studied in classical works by Euler and by Bolotin. In the last part of this work, we explore the control strategy of instability phenomena by adding viscous dampers. The procedure is illustrated for a cantilever beam under a non-conservative compressive load and a small transverse disturbance both applied at the free end of the cantilever. The details of theoretical developments are given in terms of the non-linear dynamical equations obtained by using the principle of virtual work. All the structural models used for solving more complex problems are built with a numerical approach based upon the finite element method and the geometrically exact beam models capable of describing finite rotations. It is show as well that the proposed models can successfully handle large overall motion under static and dynamic instability (or utter) under both conservative and non-conservative loads. Different numerical simulations are presented in order to illustrate the performance of the geometrically exact models proposed in this thesis
Bovet, Christophe. "Contribution à la modélisation du comportement dynamique des paliers à roulements de réducteurs aéronautiques." Thesis, Aix-Marseille, 2015. http://www.theses.fr/2015AIXM4022.
Повний текст джерелаThe quest for minimizing the power to weight ratio, omnipresent in the aircraft industry, has led to greater structural flexibility of helicopter gearboxes.This increasing flexibility combined with the severe loads which it involves, causes significant strains on shafts and housings, and may be detrimental to rolling bearing service life expectancy.An unchecked misalignment of bearing seats greatly increases cage stresses and it may cause its premature fatigue failure.The present work focuses on modeling the dynamic behavior of rolling bearings of aeronautical gearboxes and it specifically anticipates this failure mode.The model developed is able to estimate cage stresses in operation. This information is valuable to engineers, it allows a better control and thus an optimization of the rolling bearings design process
Cottanceau, Emmanuel. "Simulation numérique du processus d’assemblage de câbles flexibles en grands déplacements." Thesis, Paris, ENSAM, 2018. http://www.theses.fr/2018ENAM0011/document.
Повний текст джерелаWith on-board electronics expansion, electrical cables are an essential partof automotive pieces and the space on board has plummeted. Their flexibility requires to predict their deformation during vehicle assembly in order to avoid the contact with other pieces and damaging. Current numerical tools do not allow a realistic and accurate prediction, which is necessary in the obstructed car space. Assembly steps thus are validated on costly physical mock-ups. This thesis aims at improving numerical simulation of these flexible pieces. We herein propose a 3D algorithm based on a geometrically exact beam model solved by the finite element method. This work’s originality stands in coupling quaternions as rotational parameters and the asymptotic numerical method as nonlinear solver which results in a very robust algorithm. A test bench designed to identify the homogenized beam parameters of the numerical model and to validate it by offering a comparison on the final geometry and the equilibrium path is presented. Analytical developments on shear beams and the results of these experimental tests lead to a critical evaluation of the 3D Timoshenko model for representing stranded cables