Ch3-3(6 9-10)c - 1 MAE351 Mechanical Vibrations Lecture 13...

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1 1 MAE351 Mechanical Vibrations Lecture 13 (Chap. 3.6, 3.9-3.10) 2 Sec 3.6 Shock (or Response) Spectrum Spectrum of a given forcing function is a plot of a response quantity ( x ) against the ratio of the forcing characteristic (such as rise time) to the natural frequency (period).
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2 3 The liquid within fuel tanks is prone to sloshing under various road conditions and for design consideration it is important to quantify the effects of this sloshing on the fuel system. The flow simulation will predict local pressure data providing valuable information on forces exerted on internal walls and baffles. A wide range of studies can be performed from sudden acceleration or deceleration to sloshing Ex. Fuel Tank Sloshing performed from sudden acceleration or deceleration to sloshing induced from oscillatory cycles. Instantaneous snapshots of fuel position for two tank designs subjected to a sudden acceleration Visualize fuel sloshing patterns Determine fuel location Predict shape and velocity field of the free Predict shape and velocity field of the free surface Ensure uninterrupted supply of fuel through pick-up pipe Predict pressure forces on tank walls, including ability to export for structural analysis 4 Shock (Response) Spectrum Definition: A plot of maximum (acceleration, velocity, displacement) value of single DOF system’s response to a given input shock as a function of characteristic duration, t 1 , of the shock over the natural period, T, of the system, i.e., x(t) max versus t 1 /T, where 1 ) ( ) ( ) ( 0  d t h F t x t ) ( sin ) ( ) ( t e m t h d t d n Normally, the shock response spectrum is obtained numerically, unless the system is undamped and the input shape is very simple.
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This note was uploaded on 02/11/2010 for the course MECHANICAL ms316 taught by Professor Abduljaba during the Spring '09 term at Kalamazoo.

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Ch3-3(6 9-10)c - 1 MAE351 Mechanical Vibrations Lecture 13...

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