Abstract
The nonlinear mechanical model as derived in Sec. 2 yields, with a third-order spring for OLS = ^ — -§and Cs ~ 2 for a cylindrical container, relatively good results for the description of the nonlinear liquid motion. It may be noted, however, that the results for as and Cs are based on the model tank of Ref. 2 and one liquid height, and that for other tank sizes these values may be different. It is believed furthermore that the same model can be employed for different container forms, such as rectangular or spherical tanks. The parameter as and Cs then can be determined from the test results and the evaluation of the analytical mechanical model. References 1 Abramson, H. N., Amazing of liquid propellants, Astronautics 6, 35-37 (March 1961). 2 Hutton, R. W., An investigation of resonant, nonlinear, nonplanar free surface oscillations of a fluid, NASA TN-D1870 (May 1963). 3 Abramson, H. N., Chu, W. H., and Kana, D. D., Some studies of nonlinear lateral sloshing in rigid containers, Southwest Research Institute, Final Rept. 02-1329 (December 1964). 4 Bauer, H. F., Fluid oscillations in the container of a space vehicle and their influence upon the stability, NASA TR-R-187 (1964). 5 Berlot, R. R., Production of rotation in a confined liquid through translational motion of the boundaries, J. Appl. Mech. 26, 513-516 (1959). 6 Freed, L. E., Stability of motion of conical pendulums, Ramo-Woolridge Co., Rept. GM-45.3-434 (1957). 7 Miles, J. W., Stability of forced oscillations of a spherical pendulum, Quart. Appl. Math. 20, 21-32 (1962). 8 Bauer, H. F., Clark, C. D., and Woodward, J. H., 'Analytical mechanical model for the description of the rotary propellant sloshing motion, Engineering Experiment Station, Georgia Institute of Technology, Atlanta, Ga., Contract NAS8-11159 (May 1965).
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call