To aid the research on seismic vulnerability, behavior and design of underground piping system, this paper develops and provides the basic fundamentals of dynamics of buried pipelines. The dynamic fundamental frequencies of continuously elastic-supported straight pipelines subjected to axial, torsional and flexural motions. Various boundary conditions, which can represent the actual construction, have been considered. Using a finite element and consistent mass approach, the matrix formulation of buried pipeline is developed.
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Leon Ru-Liang Wang (1978) studied this question.