An SDF undamped system is subjected to a full-cycle sine pulse force (Fig. P4.19). (a) Derive...

  

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An SDF undamped system is subjected to a full-cycle sine pulse force (Fig. P4.19). (a) Derive equations describing u(t) during the forced and free vibration phases. (b) Plot the response u(t)/(u), versus t/T, for various values of ta/T; on the same plots show the static response u(1)/(u). (c) Determine the peak response u,, defined as the maximum of the absolute value of u(t), during (i) the forced vibration phase, and (ii) the free vibration phase. (d) Plot Ra = u,/(u,), for each of the two phases as a function of ta/T. (e) Plot the shock spectrum. -P. Figure P4.19 An SDF undamped system is subjected to a full-cycle sine pulse force (Fig. P4.19). (a) Derive equations describing u(t) during the forced and free vibration phases. (b) Plot the response u(t)/(u), versus t/T, for various values of ta/T; on the same plots show the static response u(1)/(u). (c) Determine the peak response u,, defined as the maximum of the absolute value of u(t), during (i) the forced vibration phase, and (ii) the free vibration phase. (d) Plot Ra = u,/(u,), for each of the two phases as a function of ta/T. (e) Plot the shock spectrum. -P. Figure P4.19

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Answers to b and d are given in the matlab program below clf ... View the full answer