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Mechanics of moving materials / / Nikolay Banichuk [and four others]
Mechanics of moving materials / / Nikolay Banichuk [and four others]
Autore Banichuk Nikolay
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Cham [Switzerland] : , : Springer, , 2014
Descrizione fisica 1 online resource (xvii, 253 pages) : illustrations (some color)
Disciplina 620.11292
Collana Solid Mechanics and Its Applications
Soggetto topico Materials - Mechanical properties
ISBN 3-319-01745-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Introduction -- 2 Travelling strings, beams, panels, membranes and plates -- 3 Stability analysis -- 4 Non-homogeneous tension profile -- 5 Travelling panels made of viscoelastic material -- 6 Travelling panels interacting with external flow -- 7 Fracture and fatigue of travelling plates -- 8 Some optimization problems -- References -- Index.
Record Nr. UNINA-9910299477403321
Banichuk Nikolay  
Cham [Switzerland] : , : Springer, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Stability of Axially Moving Materials [[electronic resource] /] / by Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki
Stability of Axially Moving Materials [[electronic resource] /] / by Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki
Autore Banichuk Nikolay
Edizione [1st ed. 2020.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020
Descrizione fisica 1 online resource (XI, 642 p. 175 illus., 40 illus. in color.)
Disciplina 620.1
Collana Solid Mechanics and Its Applications
Soggetto topico Mechanics
Mechanics, Applied
Mathematical optimization
Computer mathematics
Manufactures
Theoretical and Applied Mechanics
Optimization
Computational Mathematics and Numerical Analysis
Manufacturing, Machines, Tools, Processes
ISBN 3-030-23803-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- 1. Prototype Problems: Bifurcations of Different Kinds -- 1.1 Rigid column with elastic clamping -- 1.2 Elastic column and its optimization -- 1.3 Elastic rod under torsion -- 1.4 Divergence and optimization of wings -- 1.5 Stability of tensioned cantilever beam -- 1.6 Accelerating motion of rod (rocket, missile) under follower force -- 2 Bifurcation Analysis for Polynomial Equations -- 2.1 Bifurcation and parametric representations -- 2.2 Analysis of a cubic equation -- 2.3 Analysis of a quartic (fourth-order) polynomial equation -- 3 Nonconservative Systems with a Finite Number of Degrees of Freedom -- 3.1 Critical parameters and destabilizing perturbations -- 3.2 Characteristic polynomial and series expansions -- 3.3 Ideal perturbations and sufficient conditions for stability (n = 2) -- 3.4 Matrices and examples of ideal perturbations -- 3.5 Stability of systems subjected to deficient perturbations and determination of the deficiency index -- 3.6 On the stability and trajectories of the double pendulum with linear springs and dampers -- 4 Some General Methods -- 4.1 Criteria of elastic stability -- 4.2 Bifurcations and multiplicity of critical loads -- 4.3 Decomposition method for bimodal solutions -- 4.4 Bifurcation and analysis of implicitly given functionals -- 4.5 Variational principle and bifurcation analysis -- 5 Modeling and Stability Analysis of Axially Moving Materials -- 5.1 General dynamics and geometric considerations -- 5.2 Kinematic relations of small deformations -- 5.3 Constitutive linear elastic and visco-elastic relations -- 5.4 Modeling of beams and panels -- 5.5 Modeling of axially moving materials -- 5.6 Transformation to weak form -- 5.7 Boundary conditions -- 5.8 Numerical examples in stability of axially moving elastic and viscoelastic panels -- 6 Stability of Axially Moving Plates -- 6.1 Isotropic plates -- 6.2 Orthotropic plates -- 6.3 Plates with a nonuniform axial tension distribution -- 7 Stability of Axially Moving Strings, Beams and Panels -- 7.1 Unified model and exact eigensolutions for torsional, longitudinal and transverse vibration types -- 7.2 Exact eigensolutions of the traveling string with damping -- 7.3 Exact eigensolutions of axially moving beams and panels -- 7.4 Long axially moving beam with periodic elastic supports -- 7.5 Stability of a traveling beam in a gravitational field -- 8 Stability in Fluid–Structure Interaction of Axially Moving Materials -- 8.1 Basic concepts -- 8.2 Analytical solution of two-dimensional potential flow -- 8.3 Added-mass approximation -- 8.4 Numerical examples -- 8.5 Recommendations for further reading -- 9 Optimization of Elastic Bodies Subjected to Thermal Loads -- 9.1 Optimal distribution of thickness in a thermoelastic beam -- 9.2 Optimal distribution of materials in a thermoelastic beam -- 9.3 A guaranteed double-sided estimate for energy dissipation in heat conduction of locally orthotropic solid bodies -- 9.4 Conclusion -- Appendix A Cartesian tensors -- A.1 Tensor algebra -- A.2 Tensor calculus -- A.3 Integration by parts in multiple dimensions -- Appendix B Numerical integration of ODEs and semidiscrete PDEs -- B.1 Explicit Runge–Kutta methods -- B.2 Classical implicit methods -- B.3 The theoretical basis of iterative implicit methods -- B.4 Time-discontinuous Galerkin (dG) -- C Finite elements of the Hermite type -- Appendix C: Finite elements of the Hermite type -- C.1 Coordinate mapping and the derivative degrees of freedom.
Record Nr. UNINA-9910366616603321
Banichuk Nikolay  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui