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Effect of Geometric Characteristics of Empty Metal Tanks on the Critical Dynamic Buckling Load

Year 2020, Volume: 11, 106 - 112, 31.12.2020

Mokhtar Touatı Mohamed Chabaat

Abstract

We investigate a parametric study on dynamic buckling of empty steel tanks, anchored at the bottom and with open top. The study attempts to estimate the critical load (Pcr), which induces the elastic buckling at the top of the cylindrical shell under a suddenly applied concentrated load with infinite duration in the horizontal direction through transient dynamics analysis (including geometric non-linearity) using the finite element shell of the library of commercial software ANSYS while applying the criterion of Budiansky-Roth and checking by the plan-phase, and subsequently obtain the stabilization level of the critical buckling load versus the geometric characteristics of the tanks in question which led to their design. This study deals three types of tanks with heights (H) of 10m, 20m and 30m, each type has height-radius ratio (H/R) of 1/3, 2/3, 3/3, 4/3 and 5/3, giving fifteen tanks of the same thickness (t). It is reported that the effects of imperfections and damping was not considered. The investigation showed that the studied parameters have a pronounced effect on the buckling load of the tanks and the results are discussed in this study.

Keywords

Dynamic buckling Critical load Tanks

References

  • ANSYS (2004) Structural Analysis Guide. ANSYS, Inc., Houston
  • Ari-Gur J., Weller T., & Singer J. (1982) Experimental and theoretical structures of columns under axial impact. Int. Journ. Solids and Structures, 18, 619-641.
  • Barros R. C. (2010) On the Comparative Seismic Design of Anchored Bottom Supported Tanks, In: The 14th European Conference on Earthquake Engineering, Ohrid – Macedonia.
  • Barros R. C. (2008) Parametric study of the seismic response of anchored metallic tanks by international design codes, In: The 14th WCEE, Beijing, China, (pp. 12-17).
  • Budiansky B. & Roth R. S. (1962) Axisymmetric dynamic buckling of clamped shallow spherical shells. Collected papers on instability of shell structures, NASA TN D 1510 , Washington, (pp. 597-606).
  • Budiansky B. (1965) Dynamic buckling of elastic structures, Criteria and estimates, Proceeding of an International Conference on Dynamic stability of structures, North-western University, Evanston, Illinois, (pp. 83-106).
  • Cao Q. S. & Zhao Y. (2010) Buckling strength of cylindrical steel tanks under harmonic settlement, Thin-Walled Structures, 48, 391-400.
  • Clough R. W. & Wilson E. I. (1971) Dynamic finite element analysis of arbitrary thin shells, Computers and Structures, 1, 33-56.
  • Fukuyama M., Nakagawa M., Yashiro T., Toyoda Y. & Akiyama H. (2001) Seismic design method of clamped-free thin cylindrical shells immersed in fluid, Nuclear Engineering and Design, 207, 147–162.
  • Hamdan F. H. (2000) Seismic behaviour of cylindrical steel liquid storage tanks, Journal of Constructional Steel Research, 53, 307–333.
  • Hoff N. J. & Bruce V. C. (1954) Dynamic analysis of the buckling of laterally loaded flat arches, J. Math. Phys, 32, 276-288.
  • Huyan X. (1996) Dynamic stability of cylindrical shells of various constructions, Ph.D. Thesis, University of Cincinnati, USA.
  • Kochurov R. E. & Avramov K. V. (2011) Parametric vibrations of cylindrical shells subject to geometrically nonlinear deformation: multimode models, International Applied Mechanics, 46(9), 50-59.
  • Lundquist E. E. (1935) Strenght tests of thin-walled duralumin cylinders in combined transverse shear and bending, NACA Report 523, National Advisory Committee for Aeronautics, Washington.
  • Michel G., Combescure A. & Jullien J. F. (2000) Finite element simulation of dynamic buckling of cylinders to periodic shear, Thin-Walled Structures, 36, 111-135.
  • Michel G., Limam A. & Jullien J. F. (2000) Buckling of cylindrical shells under static and dynamic shear loading, Engineering Structures, 22, 535-543.
  • Moussaoui F., Benamar R. (2002) Non-linear vibrations of shell-type structures, a review with bibliography, Journal of Sound and Vibration, 255(1), 161-184.
  • Nakagawa P., Fukuyama M., Ishihama K., Ikeuch H., Hagiwara Y. & Akiyama H. (1995) Pseudo-Dynamic buckling experiments on thin cylindrical shells under biaxial seismic loads, Nuclear Engineering and Design, 157, 27-36.
  • Newmark N. M. (1959) A method of computation for structural dynamics, Jour Eng Mech Div ASCE, 85, 67–94.
  • Petry, D. & Fahlbush, G. (2000). Dynamic buckling of thin isotropic plates subjected to in plane impact. Thin-Walled Structures, 38, 267-283.
  • Ren, W., Zhuping, H. & Qingshum, Y. (1983) An experimental study of the dynamic axial plastic buckling of cylindrical shells. Intern. Impact. Engineering, 1, 249-256.
  • Sahu S. K. & Datta P. K. (2007) Research advances in the dynamic stability behaviour of plates and shells for conservative system: 1987-2005, Applied Mechanics Reviews, 60, 65-75.
  • Virella, J. C., Godoy, L. A. & Su´arez, L. E. (2003) Influence of the roof on the natural periods of empty steel tanks. Engineering and Structures, 25, 877–887.
  • Virella, J. C., Godoy, L. A. & Su´arez, L. E. (2006) Dynamic buckling of anchored steel tanks subjected to horizontal earthquake excitation. Journal of Constructional Steel Research, 62, 521–531.
  • Virella, J. C., Godoy, L. A. & Su´arez, L. E. (2006). Fundamental modes of tank-liquid systems under horizontal motions. Engineering and Structures, 28, 1450–1461.
  • Yao J. C. (1965) Nonlinear elastic buckling and parametric excitation of a cylinder under axial loads, Journ. Appl. Mech., 32, 109-115.
  • Yao J. C. (1963) Dynamic stability of cylindrical shells under static and periodic axial and radial load, AIAA Journal, 1, 1391-1396.

Year 2020, Volume: 11, 106 - 112, 31.12.2020

Mokhtar Touatı Mohamed Chabaat

Abstract

References

  • ANSYS (2004) Structural Analysis Guide. ANSYS, Inc., Houston
  • Ari-Gur J., Weller T., & Singer J. (1982) Experimental and theoretical structures of columns under axial impact. Int. Journ. Solids and Structures, 18, 619-641.
  • Barros R. C. (2010) On the Comparative Seismic Design of Anchored Bottom Supported Tanks, In: The 14th European Conference on Earthquake Engineering, Ohrid – Macedonia.
  • Barros R. C. (2008) Parametric study of the seismic response of anchored metallic tanks by international design codes, In: The 14th WCEE, Beijing, China, (pp. 12-17).
  • Budiansky B. & Roth R. S. (1962) Axisymmetric dynamic buckling of clamped shallow spherical shells. Collected papers on instability of shell structures, NASA TN D 1510 , Washington, (pp. 597-606).
  • Budiansky B. (1965) Dynamic buckling of elastic structures, Criteria and estimates, Proceeding of an International Conference on Dynamic stability of structures, North-western University, Evanston, Illinois, (pp. 83-106).
  • Cao Q. S. & Zhao Y. (2010) Buckling strength of cylindrical steel tanks under harmonic settlement, Thin-Walled Structures, 48, 391-400.
  • Clough R. W. & Wilson E. I. (1971) Dynamic finite element analysis of arbitrary thin shells, Computers and Structures, 1, 33-56.
  • Fukuyama M., Nakagawa M., Yashiro T., Toyoda Y. & Akiyama H. (2001) Seismic design method of clamped-free thin cylindrical shells immersed in fluid, Nuclear Engineering and Design, 207, 147–162.
  • Hamdan F. H. (2000) Seismic behaviour of cylindrical steel liquid storage tanks, Journal of Constructional Steel Research, 53, 307–333.
  • Hoff N. J. & Bruce V. C. (1954) Dynamic analysis of the buckling of laterally loaded flat arches, J. Math. Phys, 32, 276-288.
  • Huyan X. (1996) Dynamic stability of cylindrical shells of various constructions, Ph.D. Thesis, University of Cincinnati, USA.
  • Kochurov R. E. & Avramov K. V. (2011) Parametric vibrations of cylindrical shells subject to geometrically nonlinear deformation: multimode models, International Applied Mechanics, 46(9), 50-59.
  • Lundquist E. E. (1935) Strenght tests of thin-walled duralumin cylinders in combined transverse shear and bending, NACA Report 523, National Advisory Committee for Aeronautics, Washington.
  • Michel G., Combescure A. & Jullien J. F. (2000) Finite element simulation of dynamic buckling of cylinders to periodic shear, Thin-Walled Structures, 36, 111-135.
  • Michel G., Limam A. & Jullien J. F. (2000) Buckling of cylindrical shells under static and dynamic shear loading, Engineering Structures, 22, 535-543.
  • Moussaoui F., Benamar R. (2002) Non-linear vibrations of shell-type structures, a review with bibliography, Journal of Sound and Vibration, 255(1), 161-184.
  • Nakagawa P., Fukuyama M., Ishihama K., Ikeuch H., Hagiwara Y. & Akiyama H. (1995) Pseudo-Dynamic buckling experiments on thin cylindrical shells under biaxial seismic loads, Nuclear Engineering and Design, 157, 27-36.
  • Newmark N. M. (1959) A method of computation for structural dynamics, Jour Eng Mech Div ASCE, 85, 67–94.
  • Petry, D. & Fahlbush, G. (2000). Dynamic buckling of thin isotropic plates subjected to in plane impact. Thin-Walled Structures, 38, 267-283.
  • Ren, W., Zhuping, H. & Qingshum, Y. (1983) An experimental study of the dynamic axial plastic buckling of cylindrical shells. Intern. Impact. Engineering, 1, 249-256.
  • Sahu S. K. & Datta P. K. (2007) Research advances in the dynamic stability behaviour of plates and shells for conservative system: 1987-2005, Applied Mechanics Reviews, 60, 65-75.
  • Virella, J. C., Godoy, L. A. & Su´arez, L. E. (2003) Influence of the roof on the natural periods of empty steel tanks. Engineering and Structures, 25, 877–887.
  • Virella, J. C., Godoy, L. A. & Su´arez, L. E. (2006) Dynamic buckling of anchored steel tanks subjected to horizontal earthquake excitation. Journal of Constructional Steel Research, 62, 521–531.
  • Virella, J. C., Godoy, L. A. & Su´arez, L. E. (2006). Fundamental modes of tank-liquid systems under horizontal motions. Engineering and Structures, 28, 1450–1461.
  • Yao J. C. (1965) Nonlinear elastic buckling and parametric excitation of a cylinder under axial loads, Journ. Appl. Mech., 32, 109-115.
  • Yao J. C. (1963) Dynamic stability of cylindrical shells under static and periodic axial and radial load, AIAA Journal, 1, 1391-1396.
There are 27 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Mokhtar Touatı

Mohamed Chabaat

Publication Date December 31, 2020
Published in Issue Year 2020Volume: 11

Cite

APA Touatı, M., & Chabaat, M. (2020). Effect of Geometric Characteristics of Empty Metal Tanks on the Critical Dynamic Buckling Load. The Eurasia Proceedings of Science Technology Engineering and Mathematics, 11, 106-112.
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