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FIGURE 3.6 Shock spectra of impulses. (Reprinted from Ref. [1, pp. 21 and 22] by courtesy of Marcel Dekker, Inc.) Damped Forced Vibration with Harmonic Force (Steady-State Response)

Assuming that the structure is subjected to a harmonic force F sin mt, the motion equation is

Following Equations 3.11 and 3.16b, the motion equation can be rewritten as x + 2ppx+ p2x = —sin mt = p2xst sin mt M

Similar to Equation 3.18b, the amplification factor for forced damped vibration may be expressed as

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