Confinement of Vibrations in Variable-Geometry Nonlinear Flexible Beam

Table 1

Variation of the inverse fundamental frequency 𝜔₀ and the bifurcation points Ω_𝑏1 and Ω_𝑏2 with respect to α.

𝛼	𝜔0	Ω𝑏1	Ω𝑏2	ΔΩ𝑏	Max amplitude
−2.0	24.658	26.84	31.01	4.17	0.009
−1.0	23.058	24.8	29.18	4.38	0.01
−0.5	22.757	24.2	28.27	4.07	0.01
0.0	22.431	23.66	27.3	3.64	0.00975
+0.5	24.193	25.2	27.7	2.5	0.009
+1.0	25.145	25.85	27.88	2.03	0.0084
+2.0	40.937	41.25	41.35	0.1	0.0052