Research Papers: Design and Analysis

Fundamental Mechanics of Walking of Unanchored Flat-Bottom Cylindrical Shell Model Tanks Subjected to Horizontal Harmonic Base Excitation

[+] Author and Article Information
Tomoyo Taniguchi

Department of Civil Engineering,
Tottori University,
4-101 Koyama-Minami,
Tottori 680-8552, Japan
e-mail: t_tomoyo@cv.tottori-u.ac.jp

Toru Segawa

Department of Structures,
Daiichi Fukken Co., Ltd.,
4-2-8 Shimizu, Minami-ku,
Fukuoka 815-0031, Japan
e-mail: t_segawa@dfk.co.jp

1Former graduate student of Tottori University.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received July 5, 2011; final manuscript received June 8, 2012; published online March 18, 2013. Assoc. Editor: Spyros A. Karamanos.

J. Pressure Vessel Technol 135(2), 021201 (Mar 18, 2013) (7 pages) Paper No: PVT-11-1152; doi: 10.1115/1.4007289 History: Received July 05, 2011; Revised June 08, 2012

Assuming very large slide displacement subsequent to tank rock motion to be a possible scenario of tank walk motion, fundamental mechanics of the walk motion of unanchored flat-bottom cylindrical shell model tanks subjected to horizontal base excitation is examined. First, employing a 3DOF model consisting of a set of two masses connected by flexible columns, equations of motion are derived through a variational approach. The interaction among the translational motion of a harmonic oscillator consisting of the upper mass and the flexible columns, the rock motion of the 3DOF model and the slide motion of it is thoroughly studied. Comparison of the experimental results and their predictions demonstrate applicability of the proposed analysis. A reduction in nominal friction force accompanying the rock motion that plays a primary role in causing the very large slide displacement is also pointed out. Next, drawing an analogy between the mechanics of the walk motion of the 3DOF model and that of an unanchored flat-bottom cylindrical shell model tank, equations of motion for the tank walk motion are derived. Shaker table test and time domain analysis are conducted, employing a model tank whose bottom plate concentrically uplifts for readily evaluating fluid masses contributing to the tank rock motion. Comparison of the experimental and analytical results of the slide displacement and the rotational angle corroborates the applicability of the proposed analysis.

Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.


Rinne, J. E., 1967, Oil Storage Tanks, The Prince William Sound, Alaska, Earthquake of 1964 and Aftershocks, U.S. Department of Commerce Environmental Science Service Administration, pp. 245–252.
Steinverge, K. V., 1970, Earthquake Damage and Structural Performance in the United States, Earthquake Engineering, Prentice-Hall, Inc., pp. 209–221.
Sogabe, K., Shigeta, T., and Shibata, H., 1977, “A Fundamental Study on the Aseismic Design of Liquid Storage,” Rep. Inst. Ind. Sci., Univ. Tokyo, 26(7), pp. 281–284 (Japanese).
Housner, G. W., 1957, “Dynamic Pressure on Accelerated Fluid Containers,” Bull. Seismol. Soc. Am., 47(2), pp. 15–35.
Sakai, F., and Ogawa, H., 1974, “On a Simplified Theory for the Vibration Analysis of Circular Cylindrical Liquid Storage Tanks,” Proceedings of 13th National Symposium on Matrix Methods, JSSC, pp. 411–416 (Japanese).
Veletsos, A. S., and Yang, J. Y., 1977, “Earthquake Response of Liquid-Storage Tanks,” Proceedings of Second Annual Engineering Mechanics Division Specialty Conference, ASCE, Advances in Civil Engineering Through Engineering Mechanics, pp. 1–24.
Kobayashi, N., 1986, “A Study of Seismic Response of Cylindrical Liquid Storage Tanks,” Dr. Eng. Thesis, The University of Tokyo (Japanese).
Clough, D. P., 1977, “Experimental Evaluation of Seismic Design Method for Broad Cylindrical Tanks,” University of California, EERC Report No. UCB/EERC-77/10.
PeekR., 1988, “Analysis of Unanchored Liquid Storage Tanks Under Lateral Loads,” Earthquake Eng. Struct. Dyn., 16(7), pp. 1087–1100. [CrossRef]
Isoe, A., 1994, “Investigation on the Uplift and Slip Behavior of Flat-Bottom Cylindrical Shell Tank During Earthquake,” Dr. Eng. thesis, The University of Tokyo (Japanese).
Malhotra, P. K., and Veletsos, A. S., 1994, “Uplifting Analysis of Base Plates in Cylindrical Tanks,” ASCE J. Struct. Eng., 120(12), pp. 3489–3505. [CrossRef]
Malhotra, P. K., and Veletsos, A. S., 1994, “Uplifting Response of Unanchored Liquid-Storage Tanks,” ASCE J. Struct. Eng., 120(12), pp. 3525–3547. [CrossRef]
Taniguchi, T., 2005, “Rocking Mechanics of Flat-Bottom Cylindrical Shell Model Tanks Subjected to Harmonic Excitation,” ASME J. Pressure Vessel Technol., 127(4), pp. 373–386. [CrossRef]
Tanaka, M., Sato, Y., Sakurai, T., and Yamaguchi, S., 1999, “Analysis of Horizontal Slip Behavior Shown by Cylindrical Storage Tanks Due to Seismic Loading,” Seismic Engineering, ASME, PVP-Vol. 387, pp. 141–147.
Taniguchi, T., Mentani, Y., Komori, H., and Yoshihara, T., 1998, “Governing Equation of Slip of Flat Bottom Cylindrical Shell Tank Without Anchor and Uplifting of Bottom Plate,” Seismic Engineering, ASME, PVP-Vol. 364, pp. 55–61.
Taniguchi, T., 2002, “Nonlinear Response Analysis of Rectangular Rigid Bodies Subjected to Horizontal and Vertical Ground Motion,” J. Earthquake Eng. Struct. Dyn., 31(8), pp. 1481–1500. [CrossRef]
Taniguchi, T., 2004, “Experimental and Analytical Study of Free Lift-off Motion Induced Slip Behavior of Rectangular Rigid Bodies,” ASME J. Pressure Vessel Technol., 126(1), pp. 53–58. [CrossRef]
Taniguchi, T., and Segawa, T., 2009, “Effective Mass of Fluid for Rocking Motion of Flat-Bottom Cylindrical Tanks,” Seismic Engineering, ASME, Paper No. PVP2009-77580.
MITI Notification No. 515, issued Oct. 26, 1981.
Nakashima, T., Taniguchi, T., and Ando, Y., 2006, “Numerical Investigation into Significant Reduction in Coefficient of Restitution for Fluid-Container Combined Systems,” Seismic Engineering, ASME, Paper No. PVP2006-ICPVT11-93540.


Grahic Jump Location
Fig. 2

Comparison of experimental and analytical results of 3DOF model

Grahic Jump Location
Fig. 3

Schematic drawing of tank-walking model

Grahic Jump Location
Fig. 4

Comparison of experimental and analytical results of model tank



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In