Journal of Zhejiang University-SCIENCE A

, Volume 6, Issue 2, pp 132–140 | Cite as

Analysis modeling for plate buckling load of vibration test

  • Sung Wen-pei
  • Lin Cheng-I
  • Shih Ming-hsiang
  • Go Cheer-germ
Civil Engineering


In view of the recent technological development, the pursuit of safe high-precision structural designs has been the goal of most structural designers. To bridge the gap between the construction theories and the actual construction techniques, safety factors are adopted for designing the strength loading of structural members. If safety factors are too conservative, the extra building materials necessary will result in high construction cost. Thus, there has been a tendency in the construction field to derive a precise buckling load analysis model of member in order to establish accurate safety factors. A numerical analysis model, using modal analysis to acquire the dynamic function calculated by dynamic parameter to get the buckling load of member, is proposed in this paper. The fixed and simple supports around the circular plate are analyzed by this proposed method. And then, the Monte Carlo method and the normal distribution method are used for random sampling and measuring errors of numerical simulation respectively. The analysis results indicated that this proposed method only needs to apply modal parameters of 7×7 test points to obtain a theoretical value of buckling load. Moreover, the analysis method of inequality-distant test points produces better analysis results than the other methods.

Key words

Energy equivalence Buckling load Monte Carlo method 

Document code

CLC number



Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Dym, C.L., 1974. Stability Theory and Its Applications to Structural Mechanics. Noordhoff Publishing Company, Groningen.MATHGoogle Scholar
  2. Go, C.G., Lin, Y.S., Khor, E.H., 1997. Experimental determination of the buckling load of a straight structural member by using dynamic parameters.Journal of Sound and Vibration,205(3): 257–267.CrossRefGoogle Scholar
  3. Lurie, R., 1952. Lateral vibrations as related to structural stability.Journal of Applied Mechanic,19(2): 195–203.MATHGoogle Scholar
  4. Meirovitch, L., 1967. Analytical Methods In Vibrations. The Macmillan Company.Google Scholar
  5. Richard, L.B., Faires, J.D., 1989. Numerical Analysis, Fourth Edition, PWS-KENT Publishing Company, Boston U.S.A.MATHGoogle Scholar
  6. Segall, A., Baruch, M., 1980. A nondestructive dynamic method for determination of the critical load of elastic columns.Experimental Mechanics,20(8): 285–288.CrossRefGoogle Scholar
  7. Segall, A., Springer, G.S., 1986. A dynamic method for measuring the critical loads of elastic flat plate.Experimental Mechanics,26: 354–359.CrossRefGoogle Scholar
  8. Sweet, A.L., Genin, J., 1971. Identification of a model for predicting elastic buckling.Journal Sound Vibration and Vibration,14(3): 317–324.CrossRefGoogle Scholar
  9. Sweet, A.L., Genin, J., Mlakar, P.F., 1976. Vibratory identification of beam boundary condition.Journal of Dynamic Systems, Measurement, and Control,98, 387–394.CrossRefGoogle Scholar
  10. Sweet, A.L., Genin, J., Mlakar, P.F., 1977. Determination of column buckling criteria using vibration data.Experimental Mechanics,17: 385–391.CrossRefGoogle Scholar
  11. Timoshenko, S.P., Gere, J.M., 1997. Mechanics of Material. Fourth Edition, PWS Publishing Company, Boston, U.S.A.Google Scholar

Copyright information

© Zhejiang University Press 2005

Authors and Affiliations

  • Sung Wen-pei
    • 1
  • Lin Cheng-I
    • 2
  • Shih Ming-hsiang
    • 3
  • Go Cheer-germ
    • 4
  1. 1.Department of Landscape Design and ManagmentNational Chin-Yi Institute of TechnologyTaiwanChina
  2. 2.Department of Fire ScienceWu-Feng Institute of TechnologyChiayi, TaiwanChina
  3. 3.Department of Construction EngineeringNational Chung Hsing UniversityTaiwanChina
  4. 4.Department of Civil EngineeringNational Chung Hsing UniversityTaiwanChina

Personalised recommendations