When the fluid-conveying pipe is buried on the surface of the base, it will not only suffer from rigid impact damage caused by base excitation and surrounding gravel, but also be affected by the characteristics of the base, which makes safety accidents extremely likely to occur during the operation of the fluid-conveying pipe. Based on the Hamilton principle, a mathematical model of simply supported fluid-conveying pipe structures with a rigid constraint on the Pasternak base under base excitation is established. The Galerkin method is used to ...