A coupled aerothermoelastic theory of vibrating blade-fluid interaction in fully 3-D transonic rotor flow

In the present paper a unified variational acrothermoelastic theory of fluid-blade vibrating system in fully 3-D transonic rotor flow is developed that takes fall account of the coupled fluid-solid-heat interaction. As a result, from every one of the variational principles (VP) presented herein one can obtain not only the basic equations of fluid dynamics, elastodynamics and heat transfer, but also the matching conditions at all unknown interfaces such as the fluid-blade interface, shock and free trailing vortex sheet. In addition, a new method that enables all initial-value conditions to be incorporated in, while all final-value conditions to be excluded fiom, the VP is also suggested. Thus, a new rigorous theoretical basis for the coupled aerothermoelastic analysis of blade vibration (especially flutter) in high temperature gas turbines via finite elements is founded.