Free Vibration Analysis of Thermoelastic Structure

열탄성 구조물의 자유진동 특성

  • Published : 2000.12.01

Abstract

A numerical analysis algorithm for thermally loaded structures has been proposed and compared with the general free vibration approach to determine the characteristics of thermal load effects in vibration structures. The field of numerical inspection includes free vibration analysis, transient heat transfer analysis and thermal stress analysis. The key point of the analysis of thermally loaded structure is the method of parallel time integration between transient heat transfer and free vibration simultaneously. The results of the study demonstrate the computation of the specific total external force vector and stiffness matrix. The proposed analysis method can be applied to both heated and cooled structure vibration analysis.

Keywords

References

  1. O.C. Zienkiewicz, 'The Finite Element Method in Engineering Science,' McGraw-Hill, London, 1971
  2. K.J. Bathe and EIL. Wilson, 'Numerical Methods in Finite Element Analysis,' Prentice-Hall, 1976
  3. K.J. Bathe, 'Finite Element Procedures in Engineering Analysis,' Prentice-Hall, 1982
  4. R.D. Cook, 'Concepts and Applications of Finite Element Analysis,' Wiley, 1989
  5. K.G. McConnell, 'Vibration Testing Theory and Practice,' Wiley International Science, 1995
  6. R. Song, G. Dhatt, A. B. Cheikh, 'Thermo-mechanical Finite Element Model of Casting Systems,' International Journal for Numerical Methods in Engineering, Vol. 30, pp. 579-599, 1990 https://doi.org/10.1002/nme.1620300403
  7. K. J. Bathe, 'Finite element formulation and solution of nonlinear heat transfer,' Nuclear Engineering and Design, Vol. 51, pp.389-401, 1979 https://doi.org/10.1016/0029-5493(79)90126-2
  8. Tairo Ishizaki and K.J. Bathe, 'On Finite Element Large Displacement and Elastic-Plastic Dynamic Analysis of Shell Structures,' Computers & Structures, Vol. 12, pp. 309-318, 1980 https://doi.org/10.1016/0045-7949(80)90029-2
  9. K.J. Bathe and E.L. Wilson, 'Finite Element Formulation for Large Deformation Dynamic Analysis,' International Journal for Numerical Methods in Engineering, Vol.9, pp. 353-386, 1975
  10. J.S. Humphreys, 'On Dynamic Snap Buckling of Shallow Arches,' AIAA Journal, Vol. 4, pp. 878-886, 1966
  11. 이우식, '열탄성 진동감쇠에 관한 해석적연구,' 대한기계학회논문집, Vol. 9, pp. 801-809, 1985