Nuclear Engineering and Technology

Korean Nuclear Society (한국원자력학회)
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MATHEMATICAL ANALYSIS USING TWO MODELING TECHNIQUES FOR DYNAMIC RESPONSES OF A STRUCTURE SUBJECTED TO A GROUND ACCELERATION TIME HISTORY

  • Kim, Yong-Woo (Department of Mechanical Engineering, College of Engineering, Sunchon National University) ;
  • Jhung, Myung-Jo (Safety Research Division, Korea Institute of Nuclear Safety)
  • Received : 2010.10.29
  • Accepted : 2011.03.29
  • Published : 2011.08.31
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Abstract

Two types of numerical modeling techniques were considered for the dynamic response of a structure subjected to a ground acceleration. One technique is based on the equation of motion relative to ground motion, and the other is based on the equation of absolute motion of the structure and the ground. The analytic background of the former is well established while the latter has not yet been extensively verified. The latter is called a large mass method, which allocates an appropriate large mass to the ground so that it causes the ground to move according to a given acceleration time history. In this paper, through the use of a single degree-of-freedom spring-mass system, the equations of motion of the two techniques were analyzed and useful theorems are provided on the large mass method. Using simple examples, the numerical results of the two modeling techniques were compared with analytic solutions. It is shown that the theorems provide a clear insight on the large mass method.

Keywords

References

  1. J. T. Chen, H.-K. Hong, C. S. Yeh and S. W. Chyuan, "Integral Presentation and Regularization for a Divergent Series Solution of a Beam Subjected to Support Motions," Earthquake Engineering and Structural Dynamics, Vol. 23, 909-925, 1996
  2. R. D. Mindlin and L. E. Goodman, "Beam Vibrations with Time-Dependent Boundary Conditions," Journal of Applied Mechanics, ASME, Vol. 17, 377-380, 1950
  3. J. T. Chen, D. H. Tsaur and H.-K Hong, "An Alternative Method for Transient and Random Responses of Structures Subject to Support Motions," Engineering Structures, Vol. 19, No. 2, 162-172. 1997 https://doi.org/10.1016/S0141-0296(97)80001-R
  4. ANSYS Theory Reference, Seventh Edition, 1996
  5. D. Haberman, CSI ANSYS Tip of the Week: "Sine-Sweep" test simulation in ANSYS using the large-mass and directdisplacement methods, 2000
  6. MSC/NASTRAN User's Guide, V70 Advanced Dynamic Analysis, 2002
  7. K.-J. Bathe, Finite Element Procedures, Prentice Hall, 1996
  8. R. D. Blevins, Formulas for Natural Frequency and Mode Shape, Van Nostrand Reinhold, New York, 1979
  9. S. S. Rao, Mechanical Vibrations, Second Edition, Addison Wesley, 1990

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