Estimation of dynamic strains in finite end-constrained pipes in seismic areas

The work presents an analysis of the dynamical response of a buried pipe under seismic excitation. The pipe is assumed to be of finite length and the Winkler model to schematize soil-structure interaction is considered. With reference to the boundary conditions of end-constrained pipe the axial motions are discussed. Careful numerical integrations are performed in order to prevent undesirable oscillations close to the discontinuities. The main result emphasized by the numerical analysis is that end-constrained finite length pipelines are subject to strains greater than infinite length pipes, or free-end finite length pipes.

[1]  M. Nathan.  Problems in wave propagation in soil and rock , 1968 .

[2]  Michael J. O'Rourke,et al.  Imposed Ground Strain and Buried Pipelines , 1982 .

[3]  John A. Lepore.  Book reviewDynamic waves in civil engineering : D. A. Howells, I. P. Haigh and G. Taylor (Eds.). 575 pages, diagrams, 6 x 9 in. New York, John Wiley, 1971. Price $28.50 (approx. £10·95). , 1973 .

[4]  S. Takada,et al.  Three-Dimensional Seismic Response Analysis of Buried Continuous or Jointed Pipelines , 1987 .

[5]  Nicola Bellomo,et al.  Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods , 1997 .

[6]  W. J. Hall,et al.  Seismic Design Criteria for Pipelines and Facilities , 1977 .

[7]  T. K. Datta.  Seismic response of buried pipelines: a state-of-the-art review , 1999 .

[8]  Berardino D'Acunto.  Computational Methods For PDE In Mechanics , 2004 .

[9]  Robert van Nostrand.  Proceedings of the international symposium on wave propagation and dynamic properties of earth materials , 1969 .

[10]  S. K. Datta,et al.  Dynamics of Buried Pipelines , 1985 .

[11]  Xxyyzz.  The Current State of Knowledge of Lifeline Earthquake Engineering , 1977 .

[12]  T. K. Datta,et al.  Pipeline response to random ground motion by discrete model , 1986 .

[13]  L. R.-L. Wang,et al.  Seismic Response Behavior of Buried Pipelines , 1979 .

[14]  Emilio Rosenblueth,et al.  Fundamentals of earthquake engineering , 1971 .

[15]  Teoman Ariman,et al.  A shell model for buried pipes in earthquakes , 1985 .

[16]  S. K. Datta,et al.  Three‐Dimensional Motion of Buried Pipeline. I: Analysis , 1986 .

[17]  M. Novak,et al.  Pipeline Response to Random Ground Motion , 1980 .

[18]  Paul Weidlinger,et al.  Design of Underground Protective Structures , 1983 .

[19]  SIMULATION OF A SPILLED OIL SLICK WITH A SHALLOW WATER MODEL WITH FREE BOUNDARY , 2007 .

[20]  N. Fontana,et al.  Dynamic Response of Continuous Buried Pipes in Seismic Areas , 2006 .

[21]  P. Weidlinger,et al.  Dynamic Seismic Analysis of Long Segmented Lifelines , 1979 .

[22]  Kyriazis Pitilakis,et al.  Transverse seismic analysis of buried pipelines , 1995 .

[23]  M. Shashkov,et al.  CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES , 2006 .

[24]  J. E. Luco,et al.  Seismic response of a cylindrical shell embedded in a layered viscoelastic half‐space. II: Validation and numerical results , 1994 .

[25]  H. Shah,et al.  Seismic Analysis of Underground Structural Elements , 1974 .

[26]  M. Novak,et al.  Earthquake response of underground pipelines , 1979 .

[27]  J. E. Luco,et al.  Seismic response of a cylindrical shell embedded in a layered viscoelastic half‐space. I: Formulation , 1994 .

[28]  Subhendu K. Datta,et al.  Dynamic Response of a Buried Pipeline at Low Frequencies , 1985 .

[29]  Keizaburo Kubo,et al.  Lifeline Earthquake Engineering in Japan , 1979 .