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1. |
Record Nr. |
UNINA9910132498003321 |
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Autore |
Matuttis Hans-Georg |
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Titolo |
Understanding the discrete element method : simulation of non-spherical particles for granular and multi-body systems / / Hans-Georg Matuttis, Jian Chen |
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Pubbl/distr/stampa |
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Singapore : , : Wiley, , 2014 |
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©2014 |
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ISBN |
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1-118-56728-5 |
1-118-56722-6 |
1-118-56721-8 |
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Descrizione fisica |
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1 online resource (480 p.) |
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Disciplina |
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Soggetti |
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Granular flow |
Discrete element method |
Multibody systems |
Mechanics, Applied - Computer simulation |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters and index. |
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Nota di contenuto |
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UNDERSTANDING THE DISCRETE ELEMENT METHOD SIMULATION OF NON-SPHERICAL PARTICLES FOR GRANULARAND MULTI-BODY SYSTEMS; Copright; Contents; Exercises; About the Authors; Preface; Acknowledgements; List of Abbreviations; 1 Mechanics; 1.1 Degrees of freedom; 1.1.1 Particle mechanics and constraints; 1.1.2 From point particles to rigid bodies; 1.1.3 More context and terminology; 1.2 Dynamics of rectilinear degrees of freedom; 1.3 Dynamics of angular degrees of freedom; 1.3.1 Rotation in two dimensions; 1.3.2 Moment of inertia; 1.3.3 From two to three dimensions |
1.3.4 Rotation matrix in three dimensions1.3.5 Three-dimensional moments of inertia; 1.3.6 Space-fixed and body-fixed coordinate systems andequations of motion; 1.3.7 Problems with Euler angles; 1.3.8 Rotations represented using complex numbers; 1.3.9 Quaternions; 1.3.10 Derivation of quaternion dynamics; 1.4 The phase space; 1.4.1 Qualitative discussion of the time dependence of linear |
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oscillations; 1.4.2 Resonance; 1.4.3 The flow in phase space; 1.5 Nonlinearities; 1.5.1 Harmonic balance; 1.5.2 Resonance in nonlinear systems; 1.5.3 Higher harmonics and frequency mixing |
1.5.4 The van der Pol oscillator1.6 From higher harmonics to chaos; 1.6.1 The bifurcation cascade; 1.6.2 The nonlinear frictional oscillator and Poincar ́e maps; 1.6.3 The route to chaos; 1.6.4 Boundary conditions and many-particle systems; 1.7 Stability and conservationlaws; 1.7.1 Stability in statics; 1.7.2 Stability in dynamics; 1.7.3 Stable axes of rotation around the principal axis; 1.7.4 Noether's theorem and conservation laws; 1.8 Further reading; Exercises; References; 2Numerical Integration of OrdinaryDifferential Equations; 2.1 Fundamentals of numerical analysis |
2.1.1 Floating point numbers2.1.2 Big-O notation; 2.1.3 Relative and absolute error; 2.1.4 Truncation error; 2.1.5 Local and global error; 2.1.6 Stability; 2.1.7 Stable integrators for unstable problems; 2.2 Numerical analysis for ordinary differential equations; 2.2.1 Variable notation and transformation of the order of adifferential equation; 2.2.2 Differences in the simulation of atoms and molecules,as compared to macroscopic particles; 2.2.3 Truncation error for solutions of ordinary differential equations; 2.2.4 Fundamental approaches; 2.2.5 Explicit Euler method |
2.2.6 Implicit Euler method2.3 Runge-Kutta methods; 2.3.1 Adaptive step-size control; 2.3.2 Dense output and event location; 2.3.3 Partitioned Runge-Kutta methods; 2.4 Symplectic methods; 2.4.1 The classical Verlet method; 2.4.2 Velocity-Verlet methods; 2.4.3 Higher-order velocity-Verlet methods; 2.4.4 Pseudo-symplectic methods; 2.4.5 Order, accuracy and energy conservation; 2.4.6 Backward error analysis; 2.4.7 Case study: the harmonic oscillator with andwithout viscous damping; 2.5 Stiff problems; 2.5.1 Evaluating computational costs; 2.5.2 Stiff solutions and error as noise |
2.5.3 Order reduction |
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Sommario/riassunto |
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Gives readers a more thorough understanding of DEM and equips researchers for independent work and an ability to judge methods related to simulation of polygonal particles Introduces DEM from the fundamental concepts (theoretical mechanics and solidstate physics), with 2D and 3D simulation methods for polygonal particlesProvides the fundamentals of coding discrete element method (DEM) requiring little advance knowledge of granular matter or numerical simulationHighlights the numerical tricks and pitfalls that are usually only realized after years o |
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2. |
Record Nr. |
UNINA9910158971803321 |
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Autore |
Harris Harry |
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Titolo |
Leicester City : The Inside Story of England's Most Unlikely Champions |
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Pubbl/distr/stampa |
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New York : , : Skyhorse Publishing Company, Incorporated, , 2016 |
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©2016 |
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ISBN |
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Descrizione fisica |
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1 online resource (369 pages) |
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Altri autori (Persone) |
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TaylorGordon |
BevanRichard |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Intro -- Title Page -- Copyright -- Dedication -- Contents -- Foreword by Gordon Taylor, OBE -- Foreword by Richard Bevan -- Chapter 1: The Immortals -- Chapter 2: July 2015 -- Chapter 3: August 2015 -- Chapter 4: September 2015 -- Chapter 5: October 2015 -- Chapter 6: November 2015 -- Chapter 7: December 2015 -- Chapter 8: January 2016 -- Chapter 9: February 2016 -- Chapter 10: March 2016 -- Chapter 11: April 2016 -- Chapter 12: May 2016 -- Chapter 13: 2015-16 Season Results & Stats -- Photo Insert. |
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Sommario/riassunto |
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The Immortals is the fairy-tale account of Leicester City, who rose from the very bottom of the English Premier League--the world's toughest soccer league--to triumph against all odds (5,000-1) and finish as champions. Ending up in League One (third level) for the first time in 2008-09, the team stormed through the season to win the league and was promoted back up to the League Championship (second league). After four seasons as a middle-of-the-pack team, Leicester won the league in 2013-14, being promoted to the EPL for the first time in a decade. After a strong start the following season, the team quickly faded and looked to be facing relegation. But after winning seven out of their last nine games, they avoided the demotion and finished in fourteenth place. Under the calm and wise management of Claudio Ranieri--who was named as manager to start the 2015-16 season--the East Midlands club stunned football supporters by winning despite |
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not having a recognizable superstar on the team. With massive team spirit and a never-say-die attitude, the team kept Tottenham, Arsenal, and Manchester City at bay to secure their first ever Premier League trophy in their 132-year history. In the process, journeyman players such as Jamie Vardy, Riyad Mahrez, N'Golo Kante, and Kasper Schmeichel became household names and added to the team's growing lore. Written by legendary soccer writer Harry Harris, with seventy-six books to his name, The Immortals is a must-read for all fans of the sport, as well as those who adopted Leicester City and the Foxes during their dramatic run. |
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3. |
Record Nr. |
UNINA9910796036303321 |
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Titolo |
Fractal geometry and dynamical systems in pure and applied mathematics I : fractals in pure mathematics / / David Carfi [and three others], editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2013 |
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©2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (410 p.) |
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Collana |
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Contemporary mathematics, , 1098-3627 ; ; 600 , 0271-4132 |
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Classificazione |
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28A1228A7828A8011M2611M4137A4537C4537F1058B2058C40 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"PISRS 2011, First International Conference : Analysis, Fractal Geometry, Dynamical Systems and Economics, November 8-12, 2011, Messina, Sicily, Italy." |
"AMS Special Session, in memory of Benoit Mandelbrot : Fractal Geometry in Pure and Applied Mathematics, January 4-7, 2012, Boston, Massachusetts." |
"AMS Special Session : Geometry and Analysis on Fractal Spaces, March 3-4, 2012, Honolulu, Hawaii." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Preface -- Separation Conditions for Iterated Function Systems with Overlaps -- 1 Introduction -- 2 Preliminaries -- 3 The finite type condition -- 4 More on the finite type condition -- 5 Generalized |
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finite type condition -- 6 Weak separation condition -- References -- -point Configurations of Discrete Self-Similar Sets -- 1 Introduction -- 2 Lower bounds for -point configurations of compatible fractals -- 3 Determinant fractal zeta functions -- References -- Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator -- 1 Introduction -- 2 Generalized Fractal Strings and Their Complex Dimensions -- 3 The Spectral Operator and the Infinitesimal Shifts -- 4 Inverse and Direct Spectral Problems for Fractal Strings -- 5 Quasi-Invertibility and Almost Invertibility of the Spectral Operator -- 6 Spectral Reformulations of the Riemann Hypothesis and of Almost RH -- 7 Concluding Comments -- 8 Appendix A: Riemann's Explicit Formula -- 9 Appendix B: The Momentum Operator and Normality of -- References -- Analysis and Geometry of the Measurable Riemannian Structure on the SierpiÅski Gasket -- 1 Introduction -- 2 SierpiÅski gasket and its standard Dirichlet form -- 3 Measurable Riemannian structure on the SierpiÅski gasket -- 4 Geometry under the measurable Riemannian structure -- 5 Short time asymptotics of the heat kernels -- 6 Ahlfors regularity and singularity of Hausdorff measure -- 7 Weyl's Laplacian eigenvalue asymptotics cont. |
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