Research Article

Robust Assignment of Natural Frequencies and Antiresonances in Vibrating Systems through Dynamic Structural Modification

Table 10

Test-case 3: original and modified system design variables and constraints.

ParameterValueModification boundsModified system with robustness (proposed method)

m1 (kg)25.000[−12.50; 25.00]27.500
m2 (kg)25.000[−12.50; 25.00]39.866
m3 (kg)25.000[−12.50; 25.00]27.531
ρA (kgm−1)15.800[−7.90; 7.90]21.813
kl (Nm−1)1.00e31.00e3
kr (Nm−1)1.00e31.00e3
k1 (Nm−1)8.70e58.70e5
k2 (Nm−1)8.70e58.70e5
k3 (Nm−1)8.70e58.70e5
(Nm−1)1.00e5[−0.5e5; 7e5]1.22e5
(Nm−1)1.00e5[−0.5e5; 7e5]7.76e5
(Nm−1)1.00e5[−0.5e5; 7e5]1.24e5
EI (Nm2)1.50e5[−0.75e5; 0.75e5]0.77e5