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Multibody systems with flexible elements represent mechanical systems composed of many elastic (and rigid) interconnected bodies meeting a functional, technical, or biological assembly. The displacement of each or some of the elements of the system is generally large and cannot be neglected in mechanical modeling. The study of these multibody systems covers many industrial fields, but also has applications in medicine, sports, and art. The systematic treatment of the dynamic behavior of interconnected bodies has led to an important number of formalisms for multibody systems within mechanics. At present, this formalism is used in large engineering fields, especially robotics and vehicle dynamics. The formalism of multibody systems offers a means of algorithmic analysis, assisted by computers, and a means of simulating and optimizing an arbitrary movement of a possibly high number of elastic bodies in the connection. The domain where researchers apply these methods are robotics, simulations of the dynamics of vehicles, biomechanics, aerospace engineering (helicopters and the behavior of cars in a gravitational field), internal combustion engines, gearboxes, transmissions, mechanisms, the cellulose industry, simulation of particle behavior (granulated particles and molecules), dynamic simulation, military applications, computer games, medicine, and rehabilitation.

Technology: general issues --- History of engineering & technology --- symmetry --- asymmetry --- measure of skewness --- decile --- Monte Carlo algorithm --- Gibbs–Appell --- energy of accelerations --- finite element --- nonlinear system --- elastic elements --- analytical dynamics --- robotics --- Hilbert’s inequality --- Fubini theorem --- Fenchel-Legendre transform --- time scale --- fractional derivative --- skin tissues --- thermal damages --- Laplace transforms --- Kane’s equations --- planar mechanism --- Lagrange’s equations --- dynamics --- finite element method (FEM) --- multibody system (MBS) --- wind water pump --- strands wire rope --- experimental transitory vibrating regime --- stiffness --- damping --- joint time-frequency analysis --- Prony method --- matrix pencil method --- multibody --- propulsion drive --- linear motion --- eccentric trajectory --- reusable launch vehicles --- soft landing --- magnetorheological fluid --- numerical simulation --- multibody systems with flexible elements --- elastic bonds --- vibrations --- initial matrix --- stiffness matrix --- stability --- laser --- nuclear installation --- insulation --- Extreme Light Infrastructure --- gamma ray --- flexible coupling --- bolt --- non-metallic element --- finite element method --- elastic characteristic --- Light Sport Aircraft --- conceptual aircraft design --- wing --- flap --- aileron --- weight estimation --- symmetric profile --- sustainability --- mosquito borne diseases --- Aedes Aegypti --- Wolbachia invasion --- impulsive control --- time scales --- Noether theory --- conserved quantity --- elastic coupling --- non-metallic elements --- dynamic rigidity --- non-collinearly shafts --- n/a --- Gibbs-Appell --- Hilbert's inequality --- Kane's equations --- Lagrange's equations