Shock and Vibration

Research Article

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

Table 14

Test-case 4: original and modified system design variables and constraints.
ParameterValueModification boundsModified system with robustness (proposed method)
mA (kg)0[0; 10.000]2.429
mB (kg)0[0.000; 10.000]5.452
mC (kg)0[0.000; 8.000]7.363
mD (kg)0[0.000; 8.000]5.167
mE (kg)0[0.000; 6.000]1.773
mF (kg)0[0.000; 6.000]2.143
mG (kg)0[0.000; 5.000]3.987
mH (kg)0[0.000; 5.000]3.625
mI (kg)0[0.000; 4.000]1.073
mJ (kg)0.000[0.000; 4.000]3.595
mL (kg)0.000[0.000; 2.000]0.948
A1 (m2)0.0013[−0.0009; 0.0009]0.0005
A2 (m2)0.0013[−0.0009; 0.0009]0.0014
A3 (m2)0.0013[−0.0009; 0.0009]0.0016
A3 (m2)0.0013[−0.0009; 0.0009]0.0014
A5 (m2)0.0013[−0.0009; 0.0009]0.0011
A6 (m2)0.0013[−0.0009; 0.0009]0.0009
A7 (m2)0.0013[−0.0009; 0.0009]0.0012
A8 (m2)0.0013[−0.0009; 0.0009]0.0008
A9 (m2)0.0013[−0.0009; 0.0009]0.0018
A10 (m2)0.0013[−0.0009; 0.0009]0.0005
A11 (m2)0.0013[−0.0009; 0.0009]0.0015
A12 (m2)0.0013[−0.0009; 0.0009]0.0015
A13 (m2)0.0013[−0.0009; 0.0009]0.0009
A14 (m2)0.0013[−0.0009; 0.0009]0.0014