Читать книгу Vibroacoustic Simulation - Alexander Peiffer - Страница 16

Both roots in Equation (1.10) are real, distinct and negative. The motion is called overdamped because introducing this into Equation (1.4) gives a sum of decaying exponential functions:

(1.11)

The movement of such a system is illustrated in Figure 1.2. Using the above solution and applying the initial conditions u₀ and vx0 we get for B_i:

(1.12)

Figure 1.2 Decaying components of the overdamped oscillator. Source: Alexander Peiffer.