Abstract
In this chapter, we present the variational principles for linear fluid–solid interaction (FSI) dynamic systems. Following a short introduction on the history of variational principles for linear FSI dynamics, we describe the mathematical equations and the corresponding boundary and FSI conditions for various FSI problems, which is a basis for investigating their variational formulations. After the detailed mathematical proofs of the two variational principles: the complementary and potential energy models, we further discuss some varieties of variational preinciples for FSI systems.
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