Structural Engineering and Mechanics

  • 제45권2호
  • /
  • Pages.169-182
  • /
  • 2013
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Analysis of elastic foundation plates with internal and perimetric stiffening beams on elastic foundations by using Finite Differences Method

  • Orbanich, C.J. (Department of Engineering, Universidad Nacional del Sur) ;
  • Ortega, N.F. (Department of Engineering, Universidad Nacional del Sur)
  • 투고 : 2012.01.19
  • 심사 : 2012.12.01
  • 발행 : 2013.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

The mechanical behavior of rectangular foundation plates with perimetric beams and internal stiffening beams of the plate is herein analyzed, taking the foundation design into account. A series of dimensionless parameters related to the geometry of the studied elements were defined. In order to generalize the problem statement, an initial settlements was considered. A numeric procedure was developed for the resolution by means of the Finite Differences Method that takes into account the stiffness of the plate, the perimetric and internal plate beams and the soil reaction module. Iterative algorithms were employed which, for each of the analyzed cases, made it possible to find displacements and reaction percentages taken by the plate and those that discharge directly into the perimetric beams, practically without affecting the plate. To enhance its mechanical behavior the internal stiffening beams were prestressed and the results obtained with and without prestressing were compared. This analysis was made considering the load conditions and the soil reaction module constant.

키워드

참고문헌

  1. Akgoz, B. and Civalek, O. (2011), "Nonlinear vibration analysis of laminated plates restingon nonlinear two-parameters elastic foundations", Steel Compos. Struct., 11(5), 422-434.
  2. ALGOR 23 Professional Mech/VE (2008), Linear stress and dynamics reference division, Algor Inc., Pittsburgh, Pennsylvania.
  3. Ashar, H. (1983), "Overview of the use of prestressed concrete in US nuclear power plants", Nucl. Eng. Des., 75(3), 425-437. https://doi.org/10.1016/0029-5493(83)90009-2
  4. Chen, W.R., Chen, C.S. and Yu, S.Y. (2011), "Nonlinear vibration of hybrid composite plates on elastic foundations", Struct. Eng. Mech., 37(4), 372-385.
  5. Guler, K. and Celep, Z. (2005), "Response of a rectangular plate-column system on a tensionless Winkler foundation subjected to static and dynamic loads", Struct. Eng. Mech., 21(6), 699-712. https://doi.org/10.12989/sem.2005.21.6.699
  6. Jones, J., Wu, C., Oehlers, D.J., Whittaker, A.S., Sun, W., Marks, S. and Coppola, R. (2009), "Finite difference analysis of simply supported RC slabs for blast loadings", Eng. Struct., 31, 2825-2832. https://doi.org/10.1016/j.engstruct.2009.07.011
  7. Lee, D.H. and Kim, K.S. (2011), "Flexural strength of prestressed concrete members with unbonded tendons", Struct. Eng. Mech., 38(5), 675-696. https://doi.org/10.12989/sem.2011.38.5.675
  8. Leonhardt, F. (1977), Prestressed Concrete, Instituto E. Torroja de la Construccion y del Cemento, Madrid.
  9. Matlab 7.0 and Simulink (2004), for Microsoft Windows, MathWorks, Natick.
  10. Orbanich, C.J., Paloto, J.C. and Ortega, N.F. (2003), "Foundation plates with non-linear soil reaction", Proceeding of XIII ENIEF, Bahia Blanca, 540-551.
  11. Ortega, N.F., Paloto, J.C. and Orbanich, C.J. (2005), "Analysis of prestressed foundation plates with rigid edge elements", Rev. Int. Met. Num. Calc. Dis. Ing., CIMNE, 21(3), 287-299.
  12. Paloto, J.C. and Ortega, N.F. (2000), "Design for prestressing tendons layout in stiffening walls via an experimental technique", Strain, British Society of Strain Measurement, 36(1), 19-23.
  13. Paloto, J.C. and Santos, R.D. (1999), "Distribution of reactions in foundation plates under variable load", Proceeding of MECOM'99, Mendoza, 107-120.
  14. Paloto, J.C. and Santos, R.D. (2000), "About the bearing capacity of foundations according to the soil reaction", Proceeding of XXIX Jorn. Sudam. Ing. Estruc., Punta del Este.
  15. Paloto, J.C., Santos, R.D. and Orbanich, C.J. (2001), "Improved procedure to determine the distribution of foundation reactions", Proceeding of XII ENIEF, Cordoba, 306-312.
  16. Paloto, J.C., Santos, R.D. and Dominguez, P. (2002), "Predetermination of the distribution of reactions in a foundation plate device", Proceeding of Cong. Ing., Buenos Aires.
  17. Ponnusamy, P. and Selvamani, R. (2012), "Wave propagation in a generalized thermo elastic plate embedded in elastic medium", Interact. Multiscale Mech., 5(1), 13-26. https://doi.org/10.12989/imm.2012.5.1.013
  18. Sato, M., Kanie, S. and Mikami, T. (2007), "Structural modelling of beams on elastic foundations with elasticity couplings", Mech. Res. Commun., 34, 451-459. https://doi.org/10.1016/j.mechrescom.2007.04.001
  19. Smitsyn, A.P., Simvulidi, I.A. and Solomin, V.I. (1975), "Limit Load of prestressed plates and frames on elastic foundation", Int. J. Rock. Mech. Min., 12(5-6), 81.
  20. Standard CIRSOC 201 (2005), Argentine code of structures of concrete, INTI-CIRSOC, Buenos Aires.
  21. Tanvir, W. (1995), "A simple finite element for beams on elastic foundations", Strain, British Society of Strain Measurement, 31(4), 135-142.
  22. Timoshenko, S. and Woinowsky, K. (1959), Theory of plate and shells, Mc Graw-Hill.
  23. Tombesi, N., Pirchio, A.H. and Mezquita, M. (1974), "Method for the verification of the design and tracing of the cable with minimal force, in redundant beams", Proceeding of XII Cong. Arg. Vial., San Juan.
  24. Tovstik, P.Y. (2009), "The vibrations and stability of a prestressed plate on an elastic foundation", J. Appl. Math. Mech., 73, 77-87. https://doi.org/10.1016/j.jappmathmech.2009.03.005
  25. Yang, Y., Cai, M. and Liu, J.K. (2009), "Convergence studies on static and dynamic analysis of beams by using the U-transformation method and finite difference method", Struct. Eng. Mech., 31(4), 383-392. https://doi.org/10.12989/sem.2009.31.4.383
  26. Yu, L.H. and Wang, C.Y. (2010), "Buckling mosaic of a circular plate on a partial elastic foundation", Struct. Eng. Mech., 34(1), 135-138. https://doi.org/10.12989/sem.2010.34.1.135
  27. Zhang, L., Zhao, M.H., Xiao, Y. and Ma, B.H. (2011), "Nonlinear analysis of finite beam resting on Winkler with consideration of beam-soil interface resistance effect", Struct. Eng. Mech., 38(5).
  28. Zienkiewicz, O.C. and Taylor, R.L. (1994), Finite elements method. Basic Formulation and Linear Problems, Vol. I, Mc Graw-Hill.

피인용 문헌

  1. Design of isolated footings of circular form using a new model vol.52, pp.4, 2014, https://doi.org/10.12989/sem.2014.52.4.767
  2. The empirical corner stiffness for right-angle frames of rectangular and H-type cross-sections vol.51, pp.3, 2014, https://doi.org/10.12989/sem.2014.51.3.471
  3. Design of boundary combined footings of trapezoidal form using a new model vol.56, pp.5, 2015, https://doi.org/10.12989/sem.2015.56.5.745
  4. A comparative study for design of boundary combined footings of trapezoidal and rectangular forms using new models vol.6, pp.4, 2017, https://doi.org/10.12989/csm.2017.6.4.417