Equations of motion for interconnected rigid and elastic bodies - A derivation independent of angular momentum

Details Equations of motion for interconnected rigid and elastic bodies - A derivation independent of angular momentum Equations of motion for interconnected rigid and elastic bodies - A derivation independent of angular momentum

May 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..11..337h&link_type=abstract

Celestial Mechanics, vol. 11, May 1975, p. 337-359.

Mathematics

Logic

1

Elastic Bodies, Equations Of Motion, Joints (Junctions), Rigid Structures, Angular Momentum, Angular Velocity, Boundary Value Problems, Computer Programs, Digital Computers, Elastic Deformation, Numerical Integration, Rotating Bodies, Structural Stability

Scientific paper

Equations of motion are derived for systems of rotationally interconnected bodies in which the terminal bodies may be flexible and the remaining bodies are rigid. The bodies may have an arbitrary 'topological tree' arrangement; that is, there are no closed loops of bodies. The model for a flexible body assumes that the elastic deformation is representable as a time-varying linear combination of given mode shapes. The paper also derives the appropriate form for gravitational terms, so that the equations can be used for flexible satellites. Also included are expressions for kinetic energy and angular momentum so that in case these are theoretically constant, they can be used to monitor the accuracy of the numerical integration. The paper concludes with a section showing how interbody constraint forces and torques can be recovered from quantities available in this formulation, and also how to treat state variables which are prescribed functions of time.

Affiliated with

Also associated with

No associations

Rating

Equations of motion for interconnected rigid and elastic bodies - A derivation independent of angular momentum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Equations of motion for interconnected rigid and elastic bodies - A derivation independent of angular momentum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equations of motion for interconnected rigid and elastic bodies - A derivation independent of angular momentum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1048244