Domain-independent Thermoelastic Coupling Suitable for Aero-thermoelastic Modeling

In this paper, a novel domain-independent nonlinear thermoelastic model suitable for aerothermoelastic investigations is generated with which a continuous power transformation frame between the elastic and thermal domains is formed. To achieve this, first, a distinctive power distribution of each domain is defined by means of the Bond graph notation, and the corresponding governing equation for each domain is extracted on the basis of the port-based approach. Next, to provide a continuous power transmission between the elastic and thermal domains, a reversible coupling is designed and the corresponding generalized equation is derived that satisfies the Maxwell reciprocity. Finally, by employing the generated coupling, the elastic and thermal domains are connected dynamically. Implementing the energy-based strategies, a physical model that is capable of dynamically capturing the reversible interactions between the thermal and elastic domains while preserving the fundamental physical natures of the thermoelastic phenomena, is generated. The generated model is domain-independent and, in principle, more suited to be connected to other physical domains than conventional counterparts. This ability of the generated model provides a unique benefit to the development of appropriate schemes for controlling structural vibrations under aerothermal loads.