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

Table 2

Test-case 1: original and modified system design variables and constraints.

Parameter	Value	Modification bounds	Modified system without robustness (method [28])	Modified system with robustness (proposed method)
m1 (kg)	1.727	[0; 1.080]	2.313	2.751
m2 (kg)	5.123	[0; 1.080]	5.762	6.202
m3 (kg)	8.214	[0; 1.080]	8.813	8.214
m4 (kg)	2.609	[0; 1.080]	3.157	3.671
m5 (kg)	1.339	[0; 1.080]	1.880	2.417
(Nm^−1)	94.26e3	[0; 144.9e3]	140.82e3	129.52e3
(Nm^−1)	94.26e3	[0; 144.9e3]	106.74e3	231.74e3
(Nm^−1)	94.26e3	[0; 144.9e3]	173.15e3	135.58e3
(Nm^−1)	94.26e3	[0; 144.9e3]	126.78e3	101.51e3
(Nm^−1)	94.26e3	[0; 144.9e3]	115.95e3	97.429e3
k12 (Nm^−1)	75.14e3	—	75.14e3	75.14e3
k23 (Nm^−1)	67.74e3	—	67.74e3	67.74e3
k34 (Nm^−1)	75.47e3	—	75.47e3	75.47e3
k45 (Nm^−1)	83.40e3	—	83.40e3	83.40e3