Accession Number : ADA273825

Title :   Numerical Analysis of the Motion of a Rigid Body with an Attached Spring-Mass-Damper

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH

Personal Author(s) : Chinnery, Anne E.

Report Date : DEC 1993

Pagination or Media Count : 62

Abstract : This study analyzed the stability characteristics and the unstable motion of a rigid body with a spring-mass-damper unit (nutation damper) attached parallel to one of the system's principal axes. The equations of motion are presented and non-dimensionalized, and then numerically integrated over time. An analysis using a Liaponuv function develops the critical values of the moments of inertia for stability of the system, as well as the critical values of a dimensionless parameter k related to he spring constant. A discussion of the effects of the various parameters on the motion of the system is provided and some representative plots are included. The parameter b related to the distance of the nutation damper from ,,he principal axis is found to determine whether unstable motion approaches an apparent limit cycle, or a new principal axis. Parameter k affects the final position of the mass and can also influence the system toward limit cycle or equilibrium point motion. Parameter c representing the damping coefficient affects how quickly the system reaches its steady state motion. A summary of the unstable motions of the system and recommendations for further work are included. Rigid Body Dynamics, Spacecraft Dynamics.

Descriptors :   *MOTION, *SPACE BASED, *FLUID DYNAMICS, APPROACH, AXES, BODIES, COEFFICIENTS, CONSTANTS, CYCLES, DAMPING, DIFFERENTIAL EQUATIONS, DYNAMICS, EQUATIONS, EQUATIONS OF MOTION, FUNCTIONS, INERTIA, MASS, MOMENTS, PARAMETERS, SPACECRAFT, STABILITY, STEADY STATE, TIME, VALUE, WORK, LIQUIDS, GRAVITY, THESES.

Subject Categories : Fluid Mechanics
      Astronautics

Distribution Statement : APPROVED FOR PUBLIC RELEASE