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8.3: Flat Impulse

  • Page ID
    7672
  • The flat impulse, Figure \(\PageIndex{1}\), is defined almost identically with the flat pulse, the only difference being that we specify the magnitude of the generalized impulse, \(I_{U}\), which is the area under the time history of the flat pulse, then we define the magnitude of the input function in terms of the impulse and duration, \(U=I_{U} / t_{d}\). Thus, for the flat impulse, from Equation 8.1.1,

    \[u(t)=\frac{I_{U}}{t_{d}}\left[H(t)-H\left(t-t_{d}\right)\right]\label{eqn:8.7}\]

    clipboard_e3b43068a17381fc1ce166aa01db7537a.png
    Figure \(\PageIndex{1}\): Flat impulse