In order to clarify the mechanical mechanism and interaction of fluid solid coupling problems,methods of variational integral method,Langrange multiplier method and involutory transformation were applied synthetically to establish the quasi-variational principles with one or two kinds of variables for typical Non-conservative nonlinear fluid-solid coupling problems of liquid storage structures.Governing equations for the fluid-solid coupling problems with one or two types of variables were obtained by deriving their stationary conditions.Coupling factors were ex-pressed using Lagrange multipliers at the fluid-structure interface and described separately with fluid mechanics and solid mechanics variables.The quasi-variational principles were applied to the finite element method by developing computation models with compatible and hybrid elements separately for fluid-solid coupling dynamics.This study is crucial for advancing variational methods in fluid-solid coupling research and improving computational efficiency.
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