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_a531/.163 _223 |
| 049 | _aMAIN | ||
| 100 | 1 |
_aMatuttis, Hans-Georg, _eauthor. |
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| 245 | 1 | 0 |
_aUnderstanding the discrete element method : _bsimulation of non-spherical particles for granular and multi-body systems / _cHans-Georg Matuttis, the University of Electro-Communications, Japan, Jian Chen, Riken Advanced Institute for Computational Science, Japan. |
| 264 | 1 |
_aSingapore : _bWiley, _c2014. |
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| 300 | _a1 online resource. | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bn _2rdamedia |
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| 338 |
_aonline resource _bnc _2rdacarrier |
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| 504 | _aIncludes bibliographical references and index. | ||
| 588 | 0 | _aPrint version record and CIP data provided by publisher. | |
| 505 | 0 | _aUNDERSTANDING 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. | |
| 505 | 8 | _a1.3.4 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 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. | |
| 505 | 8 | _a1.5.4 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. | |
| 505 | 8 | _a2.1.1 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. | |
| 505 | 8 | _a2.2.6 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. | |
| 520 | _aGives 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. | ||
| 650 | 0 | _aGranular flow. | |
| 650 | 0 | _aDiscrete element method. | |
| 650 | 0 | _aMultibody systems. | |
| 650 | 0 |
_aMechanics, Applied _xComputer simulation. |
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| 650 | 4 | _aDiscrete element method. | |
| 650 | 4 | _aGranular flow. | |
| 650 | 4 |
_aMechanics, Applied _xComputer simulation. |
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| 650 | 4 | _aMultibody systems. | |
| 650 | 7 |
_aSCIENCE _xMechanics _xGeneral. _2bisacsh |
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| 650 | 7 |
_aSCIENCE _xMechanics _xSolids. _2bisacsh |
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| 655 | 4 | _aElectronic books. | |
| 700 | 1 |
_aChen, J. F. _q(Jian-Fei), _d1963- _eauthor. |
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| 776 | 0 | 8 |
_iPrint version: _aMatuttis, Hans-Georg, author. _tUnderstanding the discrete element method. _dHoboken, NJ : John Wiley & Sons Inc., 2014 _z9781118567203 _w(DLC) 2014005447 |
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