Load Functions

Constant, linear, exponential (by Friedlander)

p_{1} (t) = \{\begin{cases} {\hat{p}}_{r 0} & t \leq t_{d} \\ 0 & t > t_{d} \end{cases}

p_{2} (t) = \{\begin{cases} {\hat{p}}_{r 0} \cdot (1 - \frac{t}{t_{d}}) & t \leq t_{d} \\ 0 & t > t_{d} \end{cases}

p_{3} (t) = \{\begin{cases} {\hat{p}}_{r 0} \cdot (1 - \frac{t}{{\tilde{t}}_{d}}) & t \leq {\tilde{t}}_{d} \\ 0 & t > {\tilde{t}}_{d} \end{cases}

p_{4} (t) = {\hat{p}}_{r 0} \cdot (1 - \frac{t}{t_{d}}) \cdot e^{- α \cdot \frac{t}{t_{d}}}

p₁(t)	Load function of the constant momentum
p₂(t)	Load function of the linear momentum
p₃(t)	Load function of the linear momentum with the virtual time
p₄(t)	Load function exponential (approach by Friedlander)
t^~_d	Virtual duration of the positive pressure action
t_d	Duration of the positive pressure action
e	Euler's number
α	Shape factor
p_r0	Fully reflected pressure-time diagram

Do you have any questions?