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A Primer on the Kinematics of Discrete Elastic RodsEquations of Motion and Energetic Considerations

A Primer on the Kinematics of Discrete Elastic Rods: Equations of Motion and Energetic... [The purpose of this final chapter is to illuminate how the kinematic results presented in the earlier chapters are used to formulate the governing equations for the discrete elastic rod. In particular, representations of the kinetic and potential energies for the discrete elastic rod formulation are discussed. The gradients of the elastic energies associated with bending, stretching, and torsion are used to establish expressions for the internal forces in the rod. Assigned forces, including non-conservative forces, can also be incorporated into the discrete elastic rod formulation. To this end, we include examples, such as a force couple and an applied non-conservative force, to illuminate how applied forces and applied moments can be accommodated.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Primer on the Kinematics of Discrete Elastic RodsEquations of Motion and Energetic Considerations

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References (16)

Publisher
Springer International Publishing
Copyright
© The Author(s), under exclusive licence to Springer International Publishing AG, part of Springer Nature 2018
ISBN
978-3-319-76964-6
Pages
93 –112
DOI
10.1007/978-3-319-76965-3_8
Publisher site
See Chapter on Publisher Site

Abstract

[The purpose of this final chapter is to illuminate how the kinematic results presented in the earlier chapters are used to formulate the governing equations for the discrete elastic rod. In particular, representations of the kinetic and potential energies for the discrete elastic rod formulation are discussed. The gradients of the elastic energies associated with bending, stretching, and torsion are used to establish expressions for the internal forces in the rod. Assigned forces, including non-conservative forces, can also be incorporated into the discrete elastic rod formulation. To this end, we include examples, such as a force couple and an applied non-conservative force, to illuminate how applied forces and applied moments can be accommodated.]

Published: May 5, 2018

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