Head to base transfer function characteristics of a cylindrical tank partly filled with liquid
Carl F. Lorenzo, William G. Costakis, Eva T. Jun, United States. National Aeronautics and Space Administration, Lewis Research Center
National Aeronautics and Space Administration, 1970 - Mathematics - 39 pages
This study presents an analysis of the transfer function of head motion to base motion for a thin-walled cylindrical tank partially filled with a liquid. This transfer function is part of the overall structural description for the analysis of POGO type instabilities in rocket vehicles. The analysis utilized the double Laplace transform to achieve a closed form approximate solution. An experimental verification of the analysis was performed using a cylindrical plastic tank containing water. The results clearly demonstrated the importance of considering fluid resonance effects on head to base reponse. Indeed, for at least two fluid heights the fluid mode effects dominated the mechanical modes for this transfer function.
What people are saying - Write a review
We haven't found any reviews in the usual places.
240 Frequency acceleration transfer functions amplitude ratio base acceleration transfer base response BASE TRANSFER FUNCTION considering fluid resonance cosh cylindrical plastic tank cylindrical tank partially defined by eq distributed damping numbers dominated the mechanical Experiment Light line experimental fluid damping fluid pressure Frequency Analysis ft/sec m/sec full tank head fundamental fluid mode head motion head response head to base Heavy line Experiment inverse transform Laplace variable Lewis Research Center Light line Analysis line Experiment Light Liquid Rockets longitudinal mode mechanical impedance mechanical mode mechanical resonances mode shape modulus of elasticity Nondimensional fluid height phase angle plastic tank containing Plexiglas plot POGO predict the head pressure to base pressure to tank reciprocal acoustic velocity resonant frequencies sinh sinh(a2x Structural Dynamics tank base acceleration tank base pressure tank containing water tank partially filled thin-walled cylindrical tank TRANSFER FUNCTION CHARACTERISTICS transform of equation transform with respect ullage gas upper tank base