The invention discloses an elastic element-containing pipeline
frequency domain TMM calculation method, and relates to the technical field of pipeline
system dynamics analysis. The method comprises the following steps: firstly, establishing a straight
pipe local coordinate
system and dividing
system units, and constructing a pipeline element 14 equation model based on a Timoshenko beam theory; constructing a field
transfer matrix and a point
transfer matrix of the elastic element and the elastic support by referring to a four-end parameter method and combining
impedance parameters, and integrating the field
transfer matrix and the point transfer matrix into a system overall transfer matrix; and finally, establishing a complete
frequency domain TMM calculation logic, and solving a pipeline
frequency domain response through a node
force balance condition, a continuous condition and a boundary condition. The method solves the problems that a traditional method is difficult to consider both precision and efficiency and poor in universality, can accurately reflect the dynamic characteristics of the elastic element, greatly improves the calculation efficiency, is adaptive to various elastic elements, and can provide reliable support for low-vibration design of pipelines in the fields of ocean
engineering, shipbuilding and the like.