Shock and Vibration / 2016 / Article / Tab 1

Research Article

Analytic Solution for Nonlinear Multimode Beam Vibration Using a Modified Harmonic Balance Approach and Vieta’s Substitution

Table 1

(a) Convergence study for various excitation magnitudes, . (b) Convergence study for various excitation frequencies, = 7.5.
(a)

Normalized overall amplitude = 17.51525

Zero level solution99.92101.00101.93102.69
1st level solution100.00100.03100.13100.32
2nd level solution100.00100.00100.00100.00

(b)

Normalized overall amplitude

Zero level solution99.79100.4496.4379.43
1st level solution100.03100.03100.00100.00
2nd level solution100.00100.00100.00100.00