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This book includes papers in cross-disciplinary applications of mathematical modelling: from medicine to linguistics, social problems, and more. Based on cutting-edge research, each chapter is focused on a different problem of modelling human behaviour or engineering problems at different levels. The reader would find this book to be a useful reference in identifying problems of interest in social, medicine and engineering sciences, and in developing mathematical models that could be used to successfully predict behaviours and obtain practical information for specialised practitioners. This book is a must-read for anyone interested in the new developments of applied mathematics in connection with epidemics, medical modelling, social issues, random differential equations and numerical methods.

uncertainty quantification --- neutron diffusion equation --- discrete dynamical systems --- organisational risk --- computational efficiency --- AHP --- random power series --- order of convergence --- IPV --- multi-criteria decision-making --- random non-autonomous second order linear differential equation --- game of life --- immune system --- parameter estimation --- cytokines --- model --- stem cells --- Voynich Manuscript --- uncertainty modelling --- ode --- bottling process --- anti-torpedo decoy --- decision-making --- exponential polynomial --- Hidden Markov models --- systems of nonlinear equations --- iterative methods --- modified block Newton method --- mathematical linguistics --- DEMATEL --- convergence --- F-110 frigate --- Chikungunya disease --- nonlinear dynamical systems --- cellular automata --- mean square analytic solution --- basin of attraction --- violence index --- macrophages --- Markov chain Monte Carlo --- human behaviour --- block preconditioner --- generalized eigenvalue problem --- bone repair --- numerical simulations --- ASW --- Newton’s method --- independence index --- mathematical modeling --- brain dynamics

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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.

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 --- 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

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• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

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

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This book is a compilation of works covering applied mathematical methods and their applications in complex engineering problems. The methods covered in this book include modeling and simulation, computation, analysis, control, optimization, data science, and machine learning. The engineering application topics include but are not limited to environmental engineering, cybersecurity, transportation, agriculture, smart grid, and next-generation manufacturing.

Phoronomics --- mechanics --- kinetics --- kinematics --- direction cosines --- Euler angles --- space dynamics --- digital computation --- control systems --- control engineering --- industrial cyber-physical systems --- cyber-attacks --- neural network --- model predictive control --- nonlinear chemical processes --- network classification --- network evolution --- network symmetries --- Green’s symmetry problem --- network invariants --- network internal dynamics --- symmetry ensembles --- propensities --- energy --- opening capability --- security --- smart grid --- group signature --- anonymous signature --- autonomous vehicle --- target detection --- multi-sensors --- fusion --- YOLO --- linear response eigenvalue problem --- block methods --- weighted Golub-Kahan-Lanczos algorithm --- convergence analysis --- thick restart --- mining vibrating screen --- theoretical rigid body model --- spring failures diagnosis --- amplitudes change --- real-time optimization --- nonlinear processes --- process control --- chemical reactor control --- distillation column control --- energy-based control --- payload swing attenuation --- linear matrix inequalities --- quadrotor --- larger Lipschitz constants --- comparative advantage --- transaction cost --- specialized production --- infra-marginal model --- agricultural division of labor --- velocity-slip --- temperature-jump --- homotopy analysis method --- nanofluids --- power-law fluids --- state estimation --- parameter estimation --- moving horizon estimation --- extended kalman filter --- ensemble kalman filter --- richards equation --- agro-hydrological systems --- economic model predictive control --- chemical processes --- responsive control --- artificial intelligence --- interpretability --- controller verification --- seashore soft soil --- cement --- sulfuric acid erosion --- stress–strain behavior --- mathematical model --- Micro Grid --- optimization theory --- optimization --- MATLAB simulation