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Book
Eigenvalue and Eigenvector Problems in Applied Mechanics
Authors: --- ---
ISBN: 3030009912 3030009904 Year: 2019 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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Abstract

This book presents, in a uniform way, several problems in applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors. It reveals that various problems and studies in mechanical engineering produce certain patterns that can be treated in a similar way. Accordingly, the same mathematical apparatus allows us to study not only mathematical structures such as quadratic forms, but also mechanics problems such as multibody rigid mechanics, continuum mechanics, vibrations, elastic and dynamic stability, and dynamic systems. In addition, the book explores a wealth of engineering applications.


Book
Multibody Systems with Flexible Elements
Authors: --- ---
ISBN: 303655257X 3036552588 Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

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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.

Keywords

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


Digital
Eigenvalue and Eigenvector Problems in Applied Mechanics
Authors: --- ---
ISBN: 9783030009915 Year: 2019 Publisher: Cham Springer International Publishing

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Abstract

This book presents, in a uniform way, several problems in applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors. It reveals that various problems and studies in mechanical engineering produce certain patterns that can be treated in a similar way. Accordingly, the same mathematical apparatus allows us to study not only mathematical structures such as quadratic forms, but also mechanics problems such as multibody rigid mechanics, continuum mechanics, vibrations, elastic and dynamic stability, and dynamic systems. In addition, the book explores a wealth of engineering applications.


Book
Symmetry in Applied Continuous Mechanics
Authors: --- ---
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

Engineering practice requires the use of structures containing identical components or parts, useful from several points of view: less information is needed to describe the system, design is made quicker and easier, components are made faster than a complex assembly, and finally the time to achieve the structure and the cost of manufacturing decreases. Additionally, the subsequent maintenance of the system becomes easier and cheaper. This Special Issue is dedicated to this kind of mechanical structure, describing the properties and methods of analysis of these structures. Discrete or continuous structures in static and dynamic cases are considered. Theoretical models, mathematical methods, and numerical analyses of the systems, such as the finite element method and experimental methods, are expected to be used in the research. Machine building, automotive, aerospace, and civil engineering are the main areas in which such applications appear, but they are found in most engineering fields.

Keywords

History of engineering & technology --- exact solutions --- the generalized Benjamin–Bona–Mahony equation --- generalized exponential rational function method --- solitary wave solutions --- symbolic computation --- Thomson effect --- initial stress --- magneto-thermoelastic --- voids --- normal mode method --- G-N theory --- eigenvalue problem --- axisymmetric and non-axisymmetric vibrations --- multiparametric special functions --- circular plate --- functionally graded porous material --- initially stressed bodies --- dipolar structure --- volume fraction --- domain of influence --- chaotic time series prediction --- neural network --- firefly algorithm --- CEEMDAN --- VMD --- symmetric geometry --- guitar’s plate --- modal analysis --- skew symmetric eigenmodes --- comparison --- Friedman test --- linear regression --- nonlinear regression --- sign test --- symmetric errors --- Wilcoxon test --- coefficient of variation --- ratio --- symmetric and asymmetric distributions --- test of hypothesis --- multi-body system --- finite element method (FEM) --- linear elastic elements --- Lagrange’s equations --- two-dimensional finite element --- plane motion --- backward in time problem --- dipolar thermoelastic body --- uniqueness of solution --- Cesaro means --- partition of energies --- α-fractional calculus --- vibration isolation --- fractional-order differential equation --- rubber-like elastomers --- Riemann–Liouville/Caputo/Grünwald-Letnikov fractional derivative --- advanced mechanics --- analytical dynamics --- acceleration energies --- robotics --- viscoelasticity --- type III thermal law --- finite elements --- error estimates --- numerical results --- symmetry --- topology --- mechanical structures --- robots --- vibration --- mechanical engineering --- applied mechanics --- bird-strike impact --- composite laminate --- damage equivalency --- fan blade --- symmetrical configurations


Book
Symmetry in Applied Continuous Mechanics
Authors: --- ---
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Bookmark

Abstract

Engineering practice requires the use of structures containing identical components or parts, useful from several points of view: less information is needed to describe the system, design is made quicker and easier, components are made faster than a complex assembly, and finally the time to achieve the structure and the cost of manufacturing decreases. Additionally, the subsequent maintenance of the system becomes easier and cheaper. This Special Issue is dedicated to this kind of mechanical structure, describing the properties and methods of analysis of these structures. Discrete or continuous structures in static and dynamic cases are considered. Theoretical models, mathematical methods, and numerical analyses of the systems, such as the finite element method and experimental methods, are expected to be used in the research. Machine building, automotive, aerospace, and civil engineering are the main areas in which such applications appear, but they are found in most engineering fields.

Keywords

exact solutions --- the generalized Benjamin–Bona–Mahony equation --- generalized exponential rational function method --- solitary wave solutions --- symbolic computation --- Thomson effect --- initial stress --- magneto-thermoelastic --- voids --- normal mode method --- G-N theory --- eigenvalue problem --- axisymmetric and non-axisymmetric vibrations --- multiparametric special functions --- circular plate --- functionally graded porous material --- initially stressed bodies --- dipolar structure --- volume fraction --- domain of influence --- chaotic time series prediction --- neural network --- firefly algorithm --- CEEMDAN --- VMD --- symmetric geometry --- guitar’s plate --- modal analysis --- skew symmetric eigenmodes --- comparison --- Friedman test --- linear regression --- nonlinear regression --- sign test --- symmetric errors --- Wilcoxon test --- coefficient of variation --- ratio --- symmetric and asymmetric distributions --- test of hypothesis --- multi-body system --- finite element method (FEM) --- linear elastic elements --- Lagrange’s equations --- two-dimensional finite element --- plane motion --- backward in time problem --- dipolar thermoelastic body --- uniqueness of solution --- Cesaro means --- partition of energies --- α-fractional calculus --- vibration isolation --- fractional-order differential equation --- rubber-like elastomers --- Riemann–Liouville/Caputo/Grünwald-Letnikov fractional derivative --- advanced mechanics --- analytical dynamics --- acceleration energies --- robotics --- viscoelasticity --- type III thermal law --- finite elements --- error estimates --- numerical results --- symmetry --- topology --- mechanical structures --- robots --- vibration --- mechanical engineering --- applied mechanics --- bird-strike impact --- composite laminate --- damage equivalency --- fan blade --- symmetrical configurations


Book
Symmetry in Applied Continuous Mechanics
Authors: --- ---
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

Loading...
Export citation

Choose an application

Bookmark

Abstract

Engineering practice requires the use of structures containing identical components or parts, useful from several points of view: less information is needed to describe the system, design is made quicker and easier, components are made faster than a complex assembly, and finally the time to achieve the structure and the cost of manufacturing decreases. Additionally, the subsequent maintenance of the system becomes easier and cheaper. This Special Issue is dedicated to this kind of mechanical structure, describing the properties and methods of analysis of these structures. Discrete or continuous structures in static and dynamic cases are considered. Theoretical models, mathematical methods, and numerical analyses of the systems, such as the finite element method and experimental methods, are expected to be used in the research. Machine building, automotive, aerospace, and civil engineering are the main areas in which such applications appear, but they are found in most engineering fields.

Keywords

History of engineering & technology --- exact solutions --- the generalized Benjamin–Bona–Mahony equation --- generalized exponential rational function method --- solitary wave solutions --- symbolic computation --- Thomson effect --- initial stress --- magneto-thermoelastic --- voids --- normal mode method --- G-N theory --- eigenvalue problem --- axisymmetric and non-axisymmetric vibrations --- multiparametric special functions --- circular plate --- functionally graded porous material --- initially stressed bodies --- dipolar structure --- volume fraction --- domain of influence --- chaotic time series prediction --- neural network --- firefly algorithm --- CEEMDAN --- VMD --- symmetric geometry --- guitar’s plate --- modal analysis --- skew symmetric eigenmodes --- comparison --- Friedman test --- linear regression --- nonlinear regression --- sign test --- symmetric errors --- Wilcoxon test --- coefficient of variation --- ratio --- symmetric and asymmetric distributions --- test of hypothesis --- multi-body system --- finite element method (FEM) --- linear elastic elements --- Lagrange’s equations --- two-dimensional finite element --- plane motion --- backward in time problem --- dipolar thermoelastic body --- uniqueness of solution --- Cesaro means --- partition of energies --- α-fractional calculus --- vibration isolation --- fractional-order differential equation --- rubber-like elastomers --- Riemann–Liouville/Caputo/Grünwald-Letnikov fractional derivative --- advanced mechanics --- analytical dynamics --- acceleration energies --- robotics --- viscoelasticity --- type III thermal law --- finite elements --- error estimates --- numerical results --- symmetry --- topology --- mechanical structures --- robots --- vibration --- mechanical engineering --- applied mechanics --- bird-strike impact --- composite laminate --- damage equivalency --- fan blade --- symmetrical configurations


Book
Eigenvalue and Eigenvector Problems in Applied Mechanics
Authors: --- --- ---
ISBN: 9783030009915 Year: 2019 Publisher: Cham Springer International Publishing :Imprint: Springer

Loading...
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Bookmark

Abstract

Listing 1 - 7 of 7
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