The nonlinear dynamics of a spacecraft coupled to the vibration of a contained fluid
The dynamics of a linear spacecraft mode coupled to the nonlinear low gravity slosh of a fluid in a cylindrical tank is investigated. Coupled, nonlinear equations of motion for the fluid-spacecraft dynamics are derived through an assumed mode Lagrangian method. Unlike linear fluid slosh models, this nonlinear slosh model retains two fundamental slosh modes and three secondary modes. An approximate perturbation solution of the equations of motion indicates that the nonlinear coupled system response involves fluid-spacecraft modal resonances not predicted by either a linear or a nonlinear, uncoupled slosh analysis. An experiment was developed to verify and compliment this analysis. Scale model fluid tanks were coupled to an electromechanical analog for the second order oscillatory spacecraft mode. Moderate and low gravity were investigated in 1-g using capillary scale models, and zero gravity was investigated on the NASA KC-135 Reduced Gravity Test Facility. The experimental results substantiate the analytical predictions. The dependence of the coupled nonlinear response on the coupled system parameters and the gravity level is illustrated and discussed.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (USA); Massachusetts Inst. of Tech., Cambridge (USA). Dept. of Aeronautics and Astronautics
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 5416086
- Report Number(s):
- SAND-87-2200C; CONF-880483-1; ON: DE88007035
- Resource Relation:
- Conference: 29. structures dynamics and materials conference, Williamsburg, VA, USA, 18 Apr 1988
- Country of Publication:
- United States
- Language:
- English
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99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
FLUIDS
DYNAMICS
FLUID-STRUCTURE INTERACTIONS
SPACE VEHICLES
RESPONSE FUNCTIONS
TANKS
CYLINDRICAL CONFIGURATION
EQUATIONS OF MOTION
EXPERIMENTAL DATA
FLUID MECHANICS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
RESONANCE
CONFIGURATION
CONTAINERS
DATA
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
INFORMATION
MECHANICS
NUMERICAL DATA
PARTIAL DIFFERENTIAL EQUATIONS
VEHICLES
420200* - Engineering- Facilities
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& Techniques
990230 - Mathematics & Mathematical Models- (1987-1989)