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 | ||
|
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 | ||
|