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Equacions diferencials --- Càlcul --- Funcions de Bessel --- Àlgebra diferencial --- Càlcul integral --- Càlcul operacional --- Equacions d'evolució --- Equacions de camp d'Einstein --- Equacions de Lagrange --- Equacions de Pfaff --- Equacions diferencials algebraiques --- Equacions diferencials ordinàries --- Equacions en derivades parcials --- Funcions de Green --- Funcions de Lyapunov --- Problemes de contorn --- Problemes inversos (Equacions diferencials) --- Teoria d'estabilitat (Matemàtica) --- Transformació de Laplace --- Differential equations. --- 517.91 Differential equations --- Differential equations

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Càlcul fraccional --- Equacions diferencials --- Fractional differential equations. --- Fractional calculus. --- Derivatives and integrals, Fractional --- Differentiation of arbitrary order, Integration and --- Differintegration, Generalized --- Fractional derivatives and integrals --- Generalized calculus --- Generalized differintegration --- Integrals, Fractional derivatives and --- Integration and differentiation of arbitrary order --- Calculus --- Extraordinary differential equations --- Differential equations --- Fractional calculus --- Càlcul --- Funcions de Bessel --- Àlgebra diferencial --- Càlcul integral --- Càlcul operacional --- Equacions d'evolució --- Equacions de camp d'Einstein --- Equacions de Lagrange --- Equacions de Pfaff --- Equacions diferencials algebraiques --- Equacions diferencials ordinàries --- Equacions en derivades parcials --- Funcions de Green --- Funcions de Lyapunov --- Problemes de contorn --- Problemes inversos (Equacions diferencials) --- Teoria d'estabilitat (Matemàtica) --- Transformació de Laplace

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Problemes de contorn --- Solucions numèriques --- Equacions diferencials --- Càlcul --- Funcions de Bessel --- Àlgebra diferencial --- Càlcul integral --- Càlcul operacional --- Equacions d'evolució --- Equacions de camp d'Einstein --- Equacions de Lagrange --- Equacions de Pfaff --- Equacions diferencials algebraiques --- Equacions diferencials ordinàries --- Equacions en derivades parcials --- Funcions de Green --- Funcions de Lyapunov --- Problemes inversos (Equacions diferencials) --- Teoria d'estabilitat (Matemàtica) --- Transformació de Laplace --- Anàlisi numèrica --- Problemes de valor límit --- Física matemàtica --- Funcions de variables complexes --- Dispersió (Matemàtica) --- Equacions de Von Kármán --- Problema de Dirichlet --- Problema de Neumann --- Problemes de Riemann-Hilbert --- Problemes de valor inicial --- Boundary value problems. --- Boundary conditions (Differential equations) --- Differential equations --- Functions of complex variables --- Mathematical physics --- Initial value problems

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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

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The present book contains the 16 papers accepted and published in the Special Issue “Mathematical Modeling and Simulation in Mechanics and Dynamic Systems” of the MDPI “Mathematics” journal, which cover a wide range of topics connected to the theory and applications of Modeling and Simulation of Dynamic Systems in different field. These topics include, among others, methods to model and simulate mechanical system in real engineering. It is hopped that the book will find interest and be useful for those working in the area of Modeling and Simulation of the Dynamic Systems, as well as for those with the proper mathematical background and willing to become familiar with recent advances in Dynamic Systems, which has nowadays entered almost all sectors of human life and activity.

T-stress --- X-FEM --- notch --- pipe --- stress difference method (SDM) --- system of transcendental equation --- computational solutions --- code-based modelling approach --- numerical analysis --- Sine-Gordon equations --- photovoltaics --- thermophotovoltaics --- solar energy --- polymer CNTs systems --- interphase section --- percolation onset --- mechanics --- high temperature proton exchange membrane fuel cell --- exergy analysis --- ecological analysis --- ecological coefficient of performance --- SARS-CoV-2 --- COVID-19 --- SEIRD (Susceptible, Exposed, Infected and Recovered and Death) --- SDL --- Catalonia --- nanowire cantilever --- stochastic model --- double Lorentzian spectrum --- HT-PEMFC --- irreversibility --- finite time thermodynamic optimization --- power density --- thermodynamic efficiency --- geometric analogy --- similarity theory --- dimensional analysis --- model law --- heat transfer --- straight bar --- Deep Learning (DL) --- Computational Fluid Dynamics (CFD) --- Artificial Neural Network (ANN) --- Convolutional Neural Network (CNN) --- turbulent flow --- machine learning --- deep learning --- artificial neural network --- ANN --- PEM fuel cell --- modeling --- control --- differentiability --- fractal hydrodynamic regimes --- fractal Schrödinger regimes --- fractal soliton --- fractal kink --- “holographic implementations” --- cubics --- apolar transport --- harmonic mapping principle --- period doubling scenario --- state probability functions --- partial aging in standby --- Monte Carlo simulation --- qualitative and quantitative verification of simulation model --- Lagrange–d’Alembert principle --- non-conservative dynamical system --- Euler–Poincaré equation --- helicopter model --- Lie group --- extended iso-geometric analysis --- extended finite element method --- crack --- pipeline --- ABAQUS --- harmonic mapping --- complex system dynamics --- SL (2R) group --- hidden symmetries --- computer simulations --- actual systems --- transfer learning --- autonomous feature extraction --- n/a --- fractal Schrödinger regimes --- "holographic implementations" --- Lagrange-d'Alembert principle --- Euler-Poincaré equation