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Stochastic Dynamics of a Three-Dimensional Four-Bar Linkage: A Lagrangian Approach to Deriving and Solving Index-3 Stochastic Differential Algebraic Equations for Mechanical Systems - Couverture souple

Lytell, Mark

 
9783659255465: Stochastic Dynamics of a Three-Dimensional Four-Bar Linkage: A Lagrangian Approach to Deriving and Solving Index-3 Stochastic Differential Algebraic Equations for Mechanical Systems
Couverture souple
ISBN 10 : 3659255467 ISBN 13 : 9783659255465
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

This work explores the dynamics of a three-dimensional four-bar mechanical linkage subject to random external forcing. The Lagrangian formulation of the equations of motion are index-3 stochastic differential-algebraic equations (SDAE) that describe the time evolution of the sample paths of the generalized coordinates, velocities, and Lagrange multipliers as stochastic processes. We numerically solve the SDAEs using two different approaches: inverse dynamics, Case Study 1, via independent, successive solution of the nonlinear equations for each kinematic variable, where the time evolution of one generalized coordinate is prescribed; and direct dynamics, Case Study 2, via direct solution of the SDAEs in the index-1 formulation, using fourth-order stochastic backward differentiation formula (BDF) with modified Newton iteration and position and velocity stabilization, where the (deterministic) input driving torque is prescribed.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This work explores the dynamics of a three-dimensional four-bar mechanical linkage subject to random external forcing. The Lagrangian formulation of the equations of motion are index-3 stochastic differential-algebraic equations (SDAE) that describe the time evolution of the sample paths of the generalized coordinates, velocities, and Lagrange multipliers as stochastic processes. We numerically solve the SDAEs using two different approaches: inverse dynamics, Case Study 1, via independent, successive solution of the nonlinear equations for each kinematic variable, where the time evolution of one generalized coordinate is prescribed; and direct dynamics, Case Study 2, via direct solution of the SDAEs in the index-1 formulation, using fourth-order stochastic backward differentiation formula (BDF) with modified Newton iteration and position and velocity stabilization, where the (deterministic) input driving torque is prescribed.

Biographie de l'auteur

The author is a mechanical engineer with over 13 years of professional engineering experience. He has an M.S.M.E. and M.S. Applied Mathematics, specializing in solid mechanics and stochastic dynamics of rigid body systems.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3659255467
ISBN 13 
9783659255465
Reliure
Broché
Nombre de pages
160
Coordonnées du fabricant
non disponible
Personne responsable
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