Transient responses of a plate coupled with fluid due to impact loading

Abstract

Fluid–structure interactions (FSI) which are multi–physics between fluid and structure are a crucial consideration in the design of many engineering systems. Considering the fact that most FSI problems are transient and there are few closed–form solutions for the problem, this paper applies normal mode methods to investigate the dynamic transient response of a plate coupled with fluid subjected to impact loadings. The method is available for various types of impact loadings such as concentrated force and surface pressure. Considering a small oscillating induced by the plate vibration in fluid, velocity potential function is used to describe the fluid motion. To validate the theoretical results, an efficient and flexible MATLAB finite element procedure using fully vectorized codes is developed. MITC4 element is used to simulate the plate, and the acoustic pressure element is used to simulate the fluid. At last, the drop test of a plate coupled with fluid is conducted. The results are compared with the transient responses for displacement and natural frequencies.