Engineering topics

Levinson, D. A.

Publications and source records attributed to Levinson, D. A..

3 records

NASA NTRS1982

Docking of a spacecraft with an unrestrained orbiting structure

A methodology is presented for simulating a docking process involving a rigid body and an unrestrained nonuniform beam in orbit, and the issues that must be faced in the course of producing any such simulation are discussed. An algorithm is produced for the simulation of motions of the unrestrained structure, which necessitates the use of a structural analysis program for the purpose of constructing modal functions. An impulse problem then is solved in order to discover the changes that take place in certain variables in the course of the docking. This information is utilized to determine the initial values of variables used to characterize postdocking motions of the system under consideration, and an algorithm for simulating these motions is created, in which a structural analysis program is again used to produce modal functions. Finally, an extension of the methodology to the simulation of the docking of a rigid body with more complex orbiting structures is discussed.

Levinson, D. A.↗

NASA NTRS1981

Simulation of large motions of nonuniform beams in orbit. I - The cantilever beam

An algorithm is developed for producing numerical simulations of large motions of a nonuniform cantilever beam in orbit. Special emphasis is given to the effective formulation of equations of motion and to the use of the finite element method to construct modal functions. Finite element methods are used to generate modal functions in such a way as to permit a particularly harmonious relationship to be established between the disciplines of rigid body dynamics and structural analysis. Sufficient information is provided to enable a reader to create, with relatively little effort, his own simulation program; simulation results are reported, both to provide check cases for other investigators and to illustrate certain important facets of the behavior of flexible spacecraft.

Levinson, D. A.↗

NASA NTRS1981

Simulation of large motions of nonuniform beams in orbit. II - The unrestrained beam

An algorithm is developed for the numerical simulation of large motions of an unrestrained, nonuniform beam in orbit. Explicit provisions are made for the accommodation of general, physically significant initial conditions and for the specification of control forces in practical terms. The evaluation of certain constants that appear in the equations of motion is considered, the finite element method being used for this purpose. The importance of initial conditions in the study of spacecraft motions is stressed.

Kane, T. R.↗