Nonlinear Dynamic Analysis of a Timoshenko Beam Resting on a Viscoelastic Foundation and Traveled by a Moving Mass

Figure 5

Variation of dimensionless instantaneous dynamic response, 𝑤_𝑝/𝑤_𝑠, versus normalized instantaneous position of moving mass, 𝑥/𝑙, of the Timoshenko beam with different 𝑘₃ values traveled at different speeds with 𝑚=3𝜌𝐴𝑙 kg, 𝑘₁=10⁴ N/m², 𝑐=10³ N·s/m², and 𝛽=0.3. (a) 𝛼=0.11, (b) 𝛼=0.25, (c) 𝛼=0.5; (- - - - -) M-1 model, (—) M-2 model, or M-3 model.

(a)

(b)

(c)