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

Figure 9

Variation of dimensionless instantaneous dynamic lateral deflection, 𝑤_𝑝/𝑤_𝑠, versus normalized instantaneous position of moving mass, 𝑥/𝑙, of the Timoshenko beam with 𝑚=5𝜌𝐴𝑙 kg and 𝛼=0.25 and different 𝛽 values. (a) 𝑘₁=𝑘₃=𝑐=0, (b) 𝑘₁=10⁴ N/m², 𝑘₃=10⁴ N/m⁴, and 𝑐=10³ N·s/m²; (- - - - -) M-1 model and (—) M-2 or M-3 model.

(a)

(b)