A reduced multimodal thermoelastic model of a circular Mindlin plate

Buckling and free vibration characteristics of embedded inhomogeneous functionally graded elliptical plate in hygrothermal environment

“…Bouderba et al 30 analyzed the thermal buckling response of FGP by employing the four-variable FSDT. Manoach et al 31 presented the nonlinear thermoelastic model for the vibration analysis of circular plate using the Mindlin plate theory. Amir 32 analyzed the vibration of orthotropic plate in thermomagnetic field by using the new FSDT.…”

Nonlinear dynamics of a third-order reduced model of thermomechanically coupled plate under different thermal excitations

“…partial) coupling approach, in which changes in the mechanical response are produced by a thermal environment due to the presence of temperature-dependent coupling terms in the equations of motion, but no thermal effects are assumed to be entailed by the structural motion. In this respect, considering a constant temperature field obtained through the solution of the steady-state heat transfer equation, and using finite element and/or reduced-order models (ROMs) [3,4,5,6,7,8,9], interesting results have been obtained, e.g., for plates, as regards variations of frequency-response curves, bifurcation scenarios, transition to chaos, and mode involvement due to nonlinear and thermal couplings. Based on the reasonable assumption that thermal dynamics evolves over a much slower time-scale than structural dynamics, the oneway coupling approach is commonly used also in the case of time-varying thermal environment, although the need to account for vibration modes capable to adapt to instantaneous changes of temperature distribution has recently been highlighted in the framework of model reduction [10].…”