Vibration and Acoustic Response of Rectangular Sandwich Plate under Thermal Environment

Abstract

In this paper, we focus on the vibration and acoustic response of a rectangular sandwich plate which is subjected to a concentrated harmonic force under thermal environment. The critical buckling temperature is obtained to decide the thermal load. The natural frequencies and modes as well as dynamic responses are acquired by using the analytical formulations based on equivalent non-classical theory, in which the effects of shear deformation and rotational inertia are taken into account. The rise of thermal load decreases the natural frequencies and moves response peaks to the low-frequency range. The specific features of sandwich plates with different formations are discussed subsequently. As the thickness ratio of facing to core increases, the natural frequencies are enlarged, and the response peaks float to the high-frequency region. Raising the Young's modulus of the core can cause the similar trends. The accuracy of the theoretical method is verified by comparing its results with those computed by the FEM/BEM.

Experimental and numerical investigations on dynamic and acoustic responses of a thermal post-buckled plate

“…During heating period, compressive forces generate in the constrained plate, and the values increase with the increment of temperature. As reported in the previous studies [9][10][11][12][13][14], compressive thermal forces will reduce the stiffness of the plate, natural frequencies decrease under thermal loads. In the meanwhile, the clamped plate deflects in the process of heating, and the central deflection of the equilibrium position of the test plate gets larger as the temperature rises.…”

“…Responses were obtained based on the governing equation of plates with thermally induced membrane forces. Liu and Li [13] studied the response characters of rectangular sandwich plates with temperature variations. Equivalent non-classical theory with the shear and rotational inertia was used in the work.…”

Vibration and acoustic responses of composite and sandwich panels under thermal environment

“…Liu and Li [7,8] investigate the vibration and acoustic response of a rectangular isotropic sandwich plate which is subjected to a concentrated harmonic force or acoustic excitation under thermal environment. The equivalent non-classical theory [9] is employed to obtain the governing equation under thermal environment.…”

The band gap variation of a two dimensional binary locally resonant structure in thermal environment

“…What is worth mentioning is to take thermal effect into account when PC structures serve in thermal environment, since the impact of thermal load on the dynamic characteristic and noise reduction properties of structure cannot be neglected. [10][11][12][13] Recently, it starts to receive increasing attention that temperature variation may lead to the shift in PC band structure. For beginning, a number of studies were focused on the material properties which are sensitive to temperature such as the longitudinal (transverse) sound velocity, the Young's modulus et al 18,19 Besides that, Yao et al 15 found that the effect of thermal load on band gap is related to lattice form and material components by computing two dimensional PC plate though supercell-plane-wave-expansion-method.…”