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Results were obtained in terms of the gain and phase of the output variable the input variable as a function of the simulated struclural acceleration frequency. The gain i s expressed i n decibels defined as 20 log10 (AR) where AR is the amplitude ratio of the output to input variables, Referring to Figure34 ,AR is the ratio of chamber pressure variation to oxidizer pump inlet pressure variation at a given input frequency. The pressure variations are changes about the steady state values. If the gain is one, the log is zero and hence the db is zero. If the gain is less than one, the log is negative, resulting in a negative db; the more negative the db value the lower the gain. As a reference, a change of -6 db means the gain is halved. STRUCTURAL ACCELERATION INPUT The forcing input to the model is representative of a structural acceleration. Several combinations of points of application of the acceleration were considered. In a l l cases the tank ullage pressure was considered constant and an input representing tank bottom motion was used. This resulted in a line inlet pressure variation defined by: 'LOX TANK DISCHARGE = h * e x g where : + 'ULLAGE - IN 'ULLAGE = CONSTANT = height of propellant i n hT = propellant density - LB/IN3 e.. X = tank bottom acceleration - 6 = gravitational constant - IN/SE? * 2 tank IN/SECPDF Image | New and Innovative Product
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