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MODAL ANALYSIS OF TAPERED BEAM-COLUMN EMBEDDED IN WINKLER ELASTIC FOUNDATION

Year 2015, , 1 - 11, 01.03.2015
https://doi.org/10.24107/ijeas.251238

Abstract

Modal analysis of tapered piles embedded in elastic foundations is investigated. The pile is modeled via Bernoulli-Euler beam theory and discrete singular convolution is used for modeling. Some parametric results have been presented for tapered pile in elastic foundation

References

  • [1] Zhaohua, F., Cook, R.D., Beams elements on two-parameter elastic foundations. ASCE Journal of Engineering Mechanics, 109, 1390-1401, 1983.
  • [2] Yankelevsky, D.Z., Eisenberger, M., Analysis of a beam-column on elastic foundations. Computers and Structures, 23, 351-56, 1986.
  • [3] Doyle, P.F., Pavlovic, M.N., Vibration of beams on partial elastic foundations. Earthquake Engineering and Structural Dynamics, 10, 663-674, 1982.
  • [4] Yokoyama, T., Vibrations of Timoshenko beam-columns on two-parameter elastic foundations. Earthquake Engineering and Structural Dynamics, 20, 355-370, 1991.
  • [5] Valsangkar, A.J., Pradhanang, R., Vibrations of beam-columns on two-parameter elastic foundations. Earthquake Engineering and Structural Dynamics, 16, 217-225, 1988.
  • [6] De Rosa, M.A., Maurizi, M.J., Dynamic analysis of multistep piles on Pasternak soil subjected to axial tip forces. Journal of Sound and Vibration, 219, 771-783, 1999.
  • [7] Halabe, U.B., Jain, S.K., Lateral free vibration of a single pile with or without an axial load. Journal of Sound and Vibration, 195, 531-544, 1996.
  • [8] West, H.H., Mafi, M., Eigenvalues for beam-columns on elastic supports, ASCE Journal of Structural Engineering, 110, 1305-1320, 1984.
  • [9] Matsunaga, H., Vibration and buckling of deep beam-columns on two parameter elastic foundations, Journal of Sound and Vibration, 228, 359-376, 1999.
  • [10] Kameswara Rao, N.S.V., Das, Y.C., Anandakrishnan, M., Dynamic response of beams on generalized elastic foundation. International Journal of Solids and Structures, 11, 255-73, 1975.
  • [11] Wei, G.W., A new algorithm for solving some mechanical problems, Computer Methods in Applied Mechanics and Engineering, 190, 2017-2030, 2001.
  • [12] Wei, G.W., Vibration analysis by discrete singular convolution, Journal of Sound and Vibration, 244, 535-553, 2001.
  • [13] Wei, G.W., Discrete singular convolution for beam analysis, Engineering Structures, 23, 1045-1053, 2001.
  • [14] Wei, G.W., Zhao, Y.B., Xiang, Y., Discrete singular convolution and its application to the analysis of plates with internal supports. Part 1: Theory and algorithm, International Journal for Numerical Methods in Engineering, 55, 913-946, 2002.
  • [15] Wei, G.W., Zhao, Y.B., Xiang, Y., A novel approach for the analysis of high-frequency vibrations, Journal of Sound and Vibration, 257, 207-246, 2002.
  • [16] Zhao, Y.B., Wei, G.W., Xiang, Y., Discrete singular convolution for the prediction of high frequency vibration of plates, International Journal of Solids and Structures, 39, 65-88, 2002.
  • [17] Zhao, Y.B., Wei, G.W., Xiang, Y., Plate vibration under irregular internal supports, International Journal of Solids and Structures, 39, 1361-1383, 2002.
  • [18] Zhao, Y.B., Wei, G.W., DSC analysis of rectangular plates with non-uniform boundary conditions, Journal of Sound and Vibration, 255, 203-228, 2002.
  • [19] Civalek, Ö., An efficient method for free vibration analysis of rotating truncated conical shells, International Journal of Pressure Vessels and Piping, 83, 1-12, 2006.
  • [20] Civalek, Ö., The determination of frequencies of laminated conical shells via the discrete singular convolution method, Journal of Mechanics of Materials and Structures, 1, 165- 192, 2006.
  • [21] Civalek, Ö., Nonlinear analysis of thin rectangular plates on Winkler-Pasternak elastic foundations by DSC-HDQ methods, Applied Mathematical Modelling, 31, 606-624, 2007.
  • [22] Civalek, Ö., Free vibration analysis of composite conical shells using the discrete singular convolution algorithm, Steel and Composite Structures, 6, 353-366, 2006.
  • [23] Civalek, Ö., Three-dimensional vibration, buckling and bending analyses of thick rectangular plates based on discrete singular convolution method, International Journal of Mechanical Sciences, 49, 752-765, 2007
Year 2015, , 1 - 11, 01.03.2015
https://doi.org/10.24107/ijeas.251238

Abstract

References

  • [1] Zhaohua, F., Cook, R.D., Beams elements on two-parameter elastic foundations. ASCE Journal of Engineering Mechanics, 109, 1390-1401, 1983.
  • [2] Yankelevsky, D.Z., Eisenberger, M., Analysis of a beam-column on elastic foundations. Computers and Structures, 23, 351-56, 1986.
  • [3] Doyle, P.F., Pavlovic, M.N., Vibration of beams on partial elastic foundations. Earthquake Engineering and Structural Dynamics, 10, 663-674, 1982.
  • [4] Yokoyama, T., Vibrations of Timoshenko beam-columns on two-parameter elastic foundations. Earthquake Engineering and Structural Dynamics, 20, 355-370, 1991.
  • [5] Valsangkar, A.J., Pradhanang, R., Vibrations of beam-columns on two-parameter elastic foundations. Earthquake Engineering and Structural Dynamics, 16, 217-225, 1988.
  • [6] De Rosa, M.A., Maurizi, M.J., Dynamic analysis of multistep piles on Pasternak soil subjected to axial tip forces. Journal of Sound and Vibration, 219, 771-783, 1999.
  • [7] Halabe, U.B., Jain, S.K., Lateral free vibration of a single pile with or without an axial load. Journal of Sound and Vibration, 195, 531-544, 1996.
  • [8] West, H.H., Mafi, M., Eigenvalues for beam-columns on elastic supports, ASCE Journal of Structural Engineering, 110, 1305-1320, 1984.
  • [9] Matsunaga, H., Vibration and buckling of deep beam-columns on two parameter elastic foundations, Journal of Sound and Vibration, 228, 359-376, 1999.
  • [10] Kameswara Rao, N.S.V., Das, Y.C., Anandakrishnan, M., Dynamic response of beams on generalized elastic foundation. International Journal of Solids and Structures, 11, 255-73, 1975.
  • [11] Wei, G.W., A new algorithm for solving some mechanical problems, Computer Methods in Applied Mechanics and Engineering, 190, 2017-2030, 2001.
  • [12] Wei, G.W., Vibration analysis by discrete singular convolution, Journal of Sound and Vibration, 244, 535-553, 2001.
  • [13] Wei, G.W., Discrete singular convolution for beam analysis, Engineering Structures, 23, 1045-1053, 2001.
  • [14] Wei, G.W., Zhao, Y.B., Xiang, Y., Discrete singular convolution and its application to the analysis of plates with internal supports. Part 1: Theory and algorithm, International Journal for Numerical Methods in Engineering, 55, 913-946, 2002.
  • [15] Wei, G.W., Zhao, Y.B., Xiang, Y., A novel approach for the analysis of high-frequency vibrations, Journal of Sound and Vibration, 257, 207-246, 2002.
  • [16] Zhao, Y.B., Wei, G.W., Xiang, Y., Discrete singular convolution for the prediction of high frequency vibration of plates, International Journal of Solids and Structures, 39, 65-88, 2002.
  • [17] Zhao, Y.B., Wei, G.W., Xiang, Y., Plate vibration under irregular internal supports, International Journal of Solids and Structures, 39, 1361-1383, 2002.
  • [18] Zhao, Y.B., Wei, G.W., DSC analysis of rectangular plates with non-uniform boundary conditions, Journal of Sound and Vibration, 255, 203-228, 2002.
  • [19] Civalek, Ö., An efficient method for free vibration analysis of rotating truncated conical shells, International Journal of Pressure Vessels and Piping, 83, 1-12, 2006.
  • [20] Civalek, Ö., The determination of frequencies of laminated conical shells via the discrete singular convolution method, Journal of Mechanics of Materials and Structures, 1, 165- 192, 2006.
  • [21] Civalek, Ö., Nonlinear analysis of thin rectangular plates on Winkler-Pasternak elastic foundations by DSC-HDQ methods, Applied Mathematical Modelling, 31, 606-624, 2007.
  • [22] Civalek, Ö., Free vibration analysis of composite conical shells using the discrete singular convolution algorithm, Steel and Composite Structures, 6, 353-366, 2006.
  • [23] Civalek, Ö., Three-dimensional vibration, buckling and bending analyses of thick rectangular plates based on discrete singular convolution method, International Journal of Mechanical Sciences, 49, 752-765, 2007
There are 23 citations in total.

Details

Other ID JA66DK57MV
Journal Section Articles
Authors

Engin Emsen This is me

Kadir Mercan This is me

Bekir Akgöz This is me

Ömer Civalek This is me

Publication Date March 1, 2015
Published in Issue Year 2015

Cite

APA Emsen, E., Mercan, K., Akgöz, B., Civalek, Ö. (2015). MODAL ANALYSIS OF TAPERED BEAM-COLUMN EMBEDDED IN WINKLER ELASTIC FOUNDATION. International Journal of Engineering and Applied Sciences, 7(1), 1-11. https://doi.org/10.24107/ijeas.251238
AMA Emsen E, Mercan K, Akgöz B, Civalek Ö. MODAL ANALYSIS OF TAPERED BEAM-COLUMN EMBEDDED IN WINKLER ELASTIC FOUNDATION. IJEAS. March 2015;7(1):1-11. doi:10.24107/ijeas.251238
Chicago Emsen, Engin, Kadir Mercan, Bekir Akgöz, and Ömer Civalek. “MODAL ANALYSIS OF TAPERED BEAM-COLUMN EMBEDDED IN WINKLER ELASTIC FOUNDATION”. International Journal of Engineering and Applied Sciences 7, no. 1 (March 2015): 1-11. https://doi.org/10.24107/ijeas.251238.
EndNote Emsen E, Mercan K, Akgöz B, Civalek Ö (March 1, 2015) MODAL ANALYSIS OF TAPERED BEAM-COLUMN EMBEDDED IN WINKLER ELASTIC FOUNDATION. International Journal of Engineering and Applied Sciences 7 1 1–11.
IEEE E. Emsen, K. Mercan, B. Akgöz, and Ö. Civalek, “MODAL ANALYSIS OF TAPERED BEAM-COLUMN EMBEDDED IN WINKLER ELASTIC FOUNDATION”, IJEAS, vol. 7, no. 1, pp. 1–11, 2015, doi: 10.24107/ijeas.251238.
ISNAD Emsen, Engin et al. “MODAL ANALYSIS OF TAPERED BEAM-COLUMN EMBEDDED IN WINKLER ELASTIC FOUNDATION”. International Journal of Engineering and Applied Sciences 7/1 (March 2015), 1-11. https://doi.org/10.24107/ijeas.251238.
JAMA Emsen E, Mercan K, Akgöz B, Civalek Ö. MODAL ANALYSIS OF TAPERED BEAM-COLUMN EMBEDDED IN WINKLER ELASTIC FOUNDATION. IJEAS. 2015;7:1–11.
MLA Emsen, Engin et al. “MODAL ANALYSIS OF TAPERED BEAM-COLUMN EMBEDDED IN WINKLER ELASTIC FOUNDATION”. International Journal of Engineering and Applied Sciences, vol. 7, no. 1, 2015, pp. 1-11, doi:10.24107/ijeas.251238.
Vancouver Emsen E, Mercan K, Akgöz B, Civalek Ö. MODAL ANALYSIS OF TAPERED BEAM-COLUMN EMBEDDED IN WINKLER ELASTIC FOUNDATION. IJEAS. 2015;7(1):1-11.

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