Analytical System Dynamics: Modeling and SimulationSpringer Science & Business Media, 09.11.2008 - 326 Seiten "Analytical System Dynamics: Modeling and Simulation" combines results from analytical mechanics and system dynamics to develop an approach to modeling constrained multidiscipline dynamic systems. This combination yields a modeling technique based on the energy method of Lagrange, which in turn, results in a set of differential-algebraic equations that are suitable for numerical integration. Using the modeling approach presented in this book enables one to model and simulate systems as diverse as a six-link, closed-loop mechanism or a transistor power amplifier. |
Inhalt
References | 25 |
Problems | 33 |
Lagranges Equation of Motion | 109 |
Constrained Systems | 161 |
Problems | 193 |
Numerical Solution of ODEs and DAES | 197 |
Dynamic System Analysis and Simulation 257 | 256 |
Index | 323 |
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Häufige Begriffe und Wortgruppen
angular velocity Applied effort analysis capacitor center of mass coefficients computed configuration displacements constraint equations crank DAEs defined degrees of freedom Derive Lagrange’s equation determine differential-algebraic equations diode direction cosine matrix discretization error disk displacement constraints displacement variables dissipation function dynamic constraints dynamic systems effort constraints effort source equations of motion error Euler angles Example explicit Əqi fixed frame flow constraints flow variables fluid given Hence I₁ implicit Euler method implicit Runge-Kutta method inertia initial conditions input integration k₁ Kinematic analysis kinetic coenergy Lagrange multipliers Lagrange's equation linear link BC m₁ mass m2 mechanism moment of inertia Newton's method nodes plot potential energy rectangular coordinate system respectively revolute joint rotate RQQ1 Runge-Kutta method satisfy shows simulation slider solved system shown torque unit vectors virtual displacements x-axis θα ӘТ