Extended Hamilton’s principle applied to geometrically exact Kirchhoff sliding rods

2021 ◽  
pp. 116511
Author(s):  
Frédéric Boyer ◽  
Vincent Lebastard ◽  
Fabien Candelier ◽  
Federico Renda
Keyword(s):  
Hamilton’S Principle ◽  
Hamilton's Principle ◽  
Extended Hamilton’S Principle

scholarly journals Derivation of Equations for Flexible Multibody Systems in Terms of Quasi-Coordinates from the Extended Hamilton’s Principle

1993 ◽  
Vol 1 (2) ◽  
pp. 107-119 ◽  
Author(s):  
L. Meirovitch
Keyword(s):  
Multibody Systems ◽  
Equations Of Motion ◽  
Rigid Bodies ◽  
Flexible Multibody Systems ◽  
Hamilton’S Principle ◽  
Hamilton's Principle ◽  
Lagrange’S Equations ◽  
Extended Hamilton’S Principle ◽  
Flexible Multibody ◽  
Lagrange's Equations

Early derivations of the equations of motion for single rigid bodies, single flexible bodies, and flexible multibody systems in terms of quasi-coordinates have been carried out in two stages. The first consists of the use of the extended Hamilton’s principle to derive standard Lagrange’s equations in terms of generalized coordinates and the second represents a transformation of the Lagrange’s equations to equations in terms of quasi-coordinates. In this article, hybrid (ordinary and partial) differential equations for flexible multibody systems are derived in terms of quasi-coordinates directly from the extended Hamilton's principle. The approach has beneficial implications in an eventual spatial discretization of the problem.

Extended Hamilton's principle for fluid-structure interaction

2003 ◽  
Vol 217 (2) ◽  
pp. 153-170 ◽  
Author(s):  
H Benaroya ◽  
T Wei ◽  
S Kuchnicki ◽  
P Dong
Keyword(s):  
Ad Hoc ◽  
A Priori ◽  
Fluid Structure Interaction ◽  
Hamilton’S Principle ◽  
Hamilton's Principle ◽  
Flow Induced Vibration ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Extended Hamilton’S Principle

A variational-based approach is developed to provide a framework for the study of flow-induced vibration. While the model includes experimentally derived functions, there are no ad hoc assumptions or a priori equations that are fit to data.

Sign in / Sign up

Export Citation Format

Share Document