Symmetry in Applied Continuous Mechanics

doi:10.3390/books978-3-03943-031-4

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https://mdpi.com/books/pdfview/book/2788

Contributor(s)

Baleanu, Dumitru (editor)

Marin, Marin (editor)

Vlase, Sorin (editor)

Language

English

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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.

URI

https://directory.doabooks.org/handle/20.500.12854/69019

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