Transfer Matrix Method for Analysis of Time-domain Response of Transfer Matrix Method for Analysis of Time-domain Response of Pipeline System Pipeline System

Based on the 12-equation model of fluid flow pipelines, constructing time-domain response functions by Fourier series expansion and applying the numerical inversion of Laplace transform to the transfer matrix method (TMM) for solution, the time-domain transient response simulation of pipelines is realized. The algorithm for solving time-domain steady response by undetermined coefficients method is employed, which can suppress the instability of the inverse Laplace transform in the solving process. To illustrate the practical implementation of the proposed methods, a pipeline system, which contains straight pipe, curved pipe, pipeline with elastic supports, and a cantilever pipe, is analyzed as an example, and the results are compared with those of finite element simulation. It is found that the results of proposed models and algorithm for the pipelines are close to the results of finite element simulation by means of ANSYS code. The feasibility of this method for solving the time-domain dynamics problems of the actual fluid-flow pipelines is validated.