The first five linear transverse mode shapes of the cantilever plate calculated using COMSOL. Here the focus of the study was the modal interactions between the second bending mode, frequency í µí¼”í µí¼” 02 , and the first twisting mode, frequency í µí¼”í µí¼” 11 .

The first five linear transverse mode shapes of the cantilever plate calculated using COMSOL. Here the focus of the study was the modal interactions between the second bending mode, frequency í µí¼”í µí¼” 02 , and the first twisting mode, frequency í µí¼”í µí¼” 11 .

Source publication
Preprint
Full-text available
This work presents the results of an experimental investigation and a low-order model development for complex resonant dynamics of a cantilever macro-plate. The plate is fabricated from a material using 3D additive manufacturing technology and the material is assumed to be ‘hyperelastic’. The geometry of the plate with cut-outs is analytically opti...

Context in source publication

Context 1
... was tested and determined that the plate material behaves as a hyperelastic material [23,24], thus we introduced material nonlinearities in the model. To validate the design, a COMSOL multi-physics finite element analysis using the structural mechanics module is conducted to find the eigenfrequencies and the modes of vibration, Fig. 2, of the proposed geometry for different materials. Table 1 shows the calculated frequencies of the first five linear transverse vibration modes for three different materials, Chrome (Cr), Silver (Ag), and Polyimide (Pi). These results confirm that the differences in materials properties do not affect the 2:1 frequency ratio for ...