A nonlinear dynamic model of fiber-reinforced composite thin plate with temperature dependence in thermal environment

An Amplitude- and Temperature-Dependent Vibration Model of Fiber-Reinforced Composite Thin Plates in a Thermal Environment

“…By repeating the above test procedures, the natural frequencies and modal shapes under different temperatures and excitation amplitudes were acquired. Here, only the measured results at 220 • C were listed in the table, since some references [4,38] showed that usually the modal shape results of composite plates seemed to be immune to the temperatures. Moreover, in the reference [41] it was found that the modal shape results seemed to be immune to the excitation amplitudes.…”

“…So, we will not discuss modal shapes in the following measurements. 220 °C were listed in the table, since some references [4,38] showed that usually the modal sh results of composite plates seemed to be immune to the temperatures. Moreover, in the reference it was found that the modal shape results seemed to be immune to the excitation amplitudes.…”

“…Using some mathematical laws to clarify the temperature-dependent material properties, Fazzolari [37] investigated the thermal effect on the free vibration and the buckling characteristics of carbon-nanotube-reinforced composite plates. By introducing the temperature-dependent material nonlinearity into the modelling process, Li et al [38] established a dynamic model of fiber-reinforced composite thin plate to successfully solve the nonlinear behaviours affected by different temperatures.…”

“…To the best of the authors' knowledge, an amplitude and temperature-dependent model of FCTPs in a thermal environment has not been reported up to date. Therefore, this research attempts to make a contribution from this point based on our previous works [38,41]. Still from the perspective of material nonlinearity, with the consideration of nonlinear thermal and amplitude fitting coefficients simultaneously, the complex expressions of elastic moduli and loss factors of fiber-reinforced composites, due to both the excitation amplitudes and the high temperatures, are assumed for the first time.…”

“…Cannella et al [32] measured the material mechanical properties of composite specimens based on DMA instrument. They also established a finite element model to predict and compare the mechanical parameters with the counterparts obtained by the experimental method.Compared to the static mechanical issues, there are relatively few literatures [33][34][35][36][37][38] concerning the temperature-dependent dynamic behaviours of composite plates. For example, based on the Ritz method, Sefrani and Berthelot [33] presented a temperature-dependent damping model of glass fibre/epoxy resin composite plate and found that the structural damping was actually a function defined by the temperature and fibre direction.…”