Computational Flexible Multibody Dynamics
Simeon, Bernd.
Computational Flexible Multibody Dynamics A Differential-Algebraic Approach / [electronic resource] : by Bernd Simeon. - XII, 249 p. 64 illus., 9 illus. in color. online resource. - Differential-Algebraic Equations Forum . - Differential-Algebraic Equations Forum .
A Point of Departure -- Rigid Multibody Dynamics -- Elastic Motion -- Flexible Multibody Dynamics -- Spatial Discretization -- Stiff Mechanical Systems -- Time Integration Methods -- Numerical Case Studies.
This monograph, written from a numerical analysis perspective, aims to provide a comprehensive treatment of both the mathematical framework and the numerical methods for flexible multibody dynamics. Not only is this field permanently and rapidly growing, with various applications in aerospace engineering, biomechanics, robotics, and vehicle analysis, its foundations can also be built on reasonably established mathematical models. Regarding actual computations, great strides have been made over the last two decades, as sophisticated software packages are now capable of simulating highly complex structures with rigid and deformable components. The approach used in this book should benefit graduate students and scientists working in computational mechanics and related disciplines as well as those interested in time-dependent partial differential equations and heterogeneous problems with multiple time scales. Additionally, a number of open issues at the frontiers of research are addressed by taking a differential-algebraic approach and extending it to the notion of transient saddle point problems.
9783642351587
10.1007/978-3-642-35158-7 doi
Mathematics.
Differential equations.
Partial differential equations.
Numerical analysis.
Mechanics.
Mathematics.
Numerical Analysis.
Mechanics.
Ordinary Differential Equations.
Partial Differential Equations.
QA297-299.4
518
Computational Flexible Multibody Dynamics A Differential-Algebraic Approach / [electronic resource] : by Bernd Simeon. - XII, 249 p. 64 illus., 9 illus. in color. online resource. - Differential-Algebraic Equations Forum . - Differential-Algebraic Equations Forum .
A Point of Departure -- Rigid Multibody Dynamics -- Elastic Motion -- Flexible Multibody Dynamics -- Spatial Discretization -- Stiff Mechanical Systems -- Time Integration Methods -- Numerical Case Studies.
This monograph, written from a numerical analysis perspective, aims to provide a comprehensive treatment of both the mathematical framework and the numerical methods for flexible multibody dynamics. Not only is this field permanently and rapidly growing, with various applications in aerospace engineering, biomechanics, robotics, and vehicle analysis, its foundations can also be built on reasonably established mathematical models. Regarding actual computations, great strides have been made over the last two decades, as sophisticated software packages are now capable of simulating highly complex structures with rigid and deformable components. The approach used in this book should benefit graduate students and scientists working in computational mechanics and related disciplines as well as those interested in time-dependent partial differential equations and heterogeneous problems with multiple time scales. Additionally, a number of open issues at the frontiers of research are addressed by taking a differential-algebraic approach and extending it to the notion of transient saddle point problems.
9783642351587
10.1007/978-3-642-35158-7 doi
Mathematics.
Differential equations.
Partial differential equations.
Numerical analysis.
Mechanics.
Mathematics.
Numerical Analysis.
Mechanics.
Ordinary Differential Equations.
Partial Differential Equations.
QA297-299.4
518