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

Figure 7

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 different 𝑘₁ values traveled at two different speeds with 𝑚=3𝜌𝐴𝑙 kg, 𝑐=10³ N·s/m², and 𝛽=0.3. (a) 𝛼=0.11, (b) 𝛼=0.5; (- - - - -) M-1 model and (—) M-2 or M-3 model with 𝑘₃=10²² N/m⁴.

(a)

(b)