Effects of Variations in Nonlinear Damping Coefficients on the Parametric Vibration of a Cantilever Beam with a Lumped Mass

Figure 5

Influence of quadratic damping variation on the nontrivial response solution 𝑎: (a) variation of the maximum value of 𝑎 with the nonlinear damping and (b) percent reduction of the maximum value of 𝑎 for vacuum operation. Curves obtained for (—) 𝜀𝐻₁=0.0, 𝜀𝐻₃=2.62,𝜀𝐻₄=4.25,𝜀𝐻₅=62.72; (⋯) 𝜀𝐻₁=0.0,𝜀𝐻₃=2.13,𝜀𝐻₄=3.46,𝜀𝐻₅=62.72; (– –) 𝜀𝐻₁=0.0,𝜀𝐻₃=1.57,𝜀𝐻₄=2.55,𝜀𝐻₅=62.72 [19].

(a)

(b)