Large-Amplitude Plate Vibration in an Elevated Thermal Environment

Abstract

At elevated temperatures the dynamics of vibrating plate (or shell) must include the three thermal effects: (i) the global expansion by uniform plate temperature, (ii) the local expansion by temperature variation over the plate, and (iii) the thermal moment induced by temperature gradient across the plate thickness. For the single-mode prototype model of Galerkin representation, (i) and (ii) give rise to the combined stiffness that is responsible for thermal buckling, whereas (iii) contributes to the combined forcing of acoustic and thermal excitations. For the high-temperature sonic fatigue test facility at the Wright Lab, the present study is devoted to the mean square estimates on transverse displacement and normal stress/strain by the equivalent linearization technique.

Topology of the Four-Mode Strain Energy of Thermally Buckling Plates

“…For a simply supported plate, the system parameters shown in List 1 agree with the previous results (e.g., [2,3,32,34]). For the clamped plate based on trigonometric clampedbeam modes j n …x †, the system parameters of List 2 are comparable with the singlemode equation already reported in [32,35]. Shown in List 3 are system parameters for the clamped plate based on true clamped-beam modes f n …x †; however, they are new and have not been presented heretofore to the best of our knowledge.…”

“…Note that modal functions B n …x † satisfying B nˆd B n =dxˆ0 at xˆ0; 1 have been used extensively in the literature (e.g., [6,11,12,31]) to represent clamped-plate modes for purely analytic expediency. Here, j n …x † are formed by the Gram±Schmidt orthonormalizatio n of B n …x † [32]. Just as in Eq.…”

Finite element analysis of the random response suppression of composite panels at elevated temperatures using shape memory alloy fibers

“…The classic von Karman large-deection plate equations including uniform temperature and orthotropic property eects were employed. Lee 19 extended that work to include nonuniform temperature distributions. He studied isotropic rectangular plates with either simply supported or clamped edges.…”

Nonlinear Vibration Response Analysis and Experimental Verification of Thin-walled Structures to Thermal-acoustic Excitations

“…Lee has calculated the stress/strain responses of buckling plates by applying EL method [1][2][3]. R.Vaicaitis have applied the Galerkin's method to governing partial differential equations (PDE/Galerkin) in conjunction with the Monte Carlo simulation for the prediction of nonlinear response of isotropic and composite panels subjected to acoustic and thermal loads [4,5].…”