Geometrically Nonlinear Random Vibration Responses of Laminated Plates Subjected to Acoustic Excitation

Equivalent linearization method improved by higher order statistics in modal space for geometrically nonlinear vibrations

“…The damping ratio of the first mode is 𝜁 1 = 0.02 and those of the first five modes meet the requirement that 2𝜔 1 𝜁 1 = 2𝜔 2 𝜁 2 = ⋯ = 2𝜔 5 𝜁 5 . The result in reference [19] also shows that the response of an antisymmetric cross-ply laminated plate subjected to band-limited white noise can still be approximately considered to obey the zero mean Gaussian distribution.…”

“…Two rectangular, simply supported eight-layered laminated plates taken from [19] were investigated, including symmetric [0°/90°/0°/90°/90°/0°/90°/0°] and antisymmetric [0°/90°/0°/90°/0°/90°/0°/90°] cross-ply laminated plates. The laminated plates keep the same geometric dimension and mesh size as the metal plate in Section 5.1, and have mass density 1600kg/m 3 , Young's moduli E11=1.81×10 11 Pa, E22=1.03×10 10 Pa, shear moduli G12=G13=7.17×10 9 Pa, G23=5×10 9 Pa and Poisson's ratio 0.28.…”

“…First, consider the load case investigated in [19] where the laminated plates were subjected to band-limited white noise, whose bandwidth and SPL are the same as the excitation used in Section 5.1. Since [19] does not give the reference solutions, in this paper, the RMS value of the random response of laminated plates under the band-limited white noise is obtained in a series of time-domain numerical simulation, which were carried out by ABAQUS referring to [5] - [7]. The laminated plates were modeled with a uniform 28×20 mesh of 560 S4R elements, twice the size as those of the NASTRAN model, to reduce the computational time referring to [10].…”

“…This method is referred to as the NLROM-EL method in this paper. Yang and Yang [19] investigated the random response of composite laminates under band-limited white noise using the NLROM-EL method. The reduced order modeling techniques reduce the order of the nonlinear system, and then the computational cost of response analysis is significantly reduced.…”

Nonlinear reduced order modeling for nonlinear response simulation of panels via Large Eddy Simulation

“…The results also suggest that the aeroacoustic domain need to be modelled accurately for thin plate sonic fatigue analysis. Similarly, a so called equivalent linearization (EL) analysis was introduced in [22] for nonlinear response analysis of laminated plates subject to acoustic excitation. R. Perrez et al [23] further calibrated the NLROM using full-field experimental data.…”