00037___691e7d728d00c40206fce7db92ed072f - the equation(5 M...

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16 INTRODUCTION Chap. 1 Fig. 1.5:l. represent the displacement of the body relative to the ground, then Eq. (1) may be written as (3) My+cy+ky=-Ms. The solution of Eq. (3) represents a forced vibration of a damped system. If the forcing function MS(t) were zero, the equation (4) My + qj + Icy = 0, describes the free vibration of the damped system. If the damping constant c vanishes, then the free vibration of the undamped system is described by
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Unformatted text preview: the equation (5) M y + k y = 0. Equation (5) is satisfied by the solution y = Acoswt + Bsinwt, (6) in which A and B are arbitrary constants, and (7) w = m, as can be verified by direct substitution of (6) into (5). When k and M are real values, w is real. The motion y(t) given by (6) is an oscillation of the...
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This note was uploaded on 01/04/2012 for the course ENG 501 taught by Professor Thomson during the Fall '05 term at MIT.

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