<title>Frequency response of beams with passively constrained damping layers and piezoactuators</title>

Abstract

We present and review methods of frequency response analysis for cantilevered sandwich beams consisting of aluminum face plates and passively constrained damping layers at the mid-plane. These analysis methods include: (1) progressive wave method, (2) assumed modes method, and (3) finite element method. The progressive wave method accounts for the frequency dependent complex modulus in analyzing the frequency response function. In the assumed mode and FEM analyses, the frequency dependent complex modulus is assumed to be a constant over the frequency range of interest (i.e. the first three modes). By selecting the value of complex modulus to nominally correspond to the second modal frequency, the error in predicted natural frequency can be minimized. However, this comes at the cost of increased error in the damping ratio predictions, which are minimized by selecting the value of complex modulus corresponding to the first mode.

Effect of Insertion Viscoelastic Damping Layer with Different Thicknesses on the Dynamic Response of Multi-layered Beam in Forced Vibration

“…The results of natural frequencies obtained by this model are very close to the experimental results of Wang and Wereley [8], and are very close to finite element method results of Trindade [11]. It can be seen that The transverse displacement (the transient response) of the cantilevered sandwich beam is shown in Fig.…”

“…9. The natural frequencies obtained by finite element ANSYS modeling are very close to the experimental results of Wang and Wereley [8]. Fig.…”

“…These properties coupled to the structure (the multi-layered beam) in such way the vibrations are damped passively (passive vibration control). Table 3 Material properties of facesheets [8,17]…”

“…The first three natural frequencies, shown in Table 2, are calculated for the three thicknesses of the viscoelastic layer (h c = 0.254, 0.127 and 0.051 mm) by using the finite element modeling incorporate the fractional derivative model [4]. The results are then compared with those calculated by the finite element method and experimental tests presented in [8,11].…”

“…Many researchers have shown that the employment of viscoelastic materials can improve the dynamics of such structures [4][5][6][7]. These materials can be incorporated into different types of structures by means of a number of methods and techniques [8,9]. According to Amrane [10] and Trindade [11], the passive vibration damping techniques structural systems use the integration or addition of materials to the structure to be damped without any additional external intervention, and the vibratory energy is dissipated in the form of heat.…”