The dynamic behavior of fluid-conveying pipes can lead to significant safety hazards when subjected to impact vibrations, influenced by complex operational environments such as base excitations, distributed follower forces, and support looseness. A model for the impact vibration of a simply supported, rigidly constrained fluid-conveying pipe is established based on Hamilton's principle under the combined effects of base excitations and distributed follower forces. The Galerkin method and the NDFs (variable-order numerical differentiation formulas) algorithm are employed for discretizing and so...
