1 |
Lee, J.K., Jeong, S. and Lee, J. (2014), "Natural frequencies for flexural and torsional vibrations of beams on Pasternak foundation", Soils and Foundations, Vol.54, No.6, pp.1202-1211.
DOI
|
2 |
Ma, J., Liu, F., Gao, X. and Nie, M. (2018), "Buckling and free vibration of a single pile considering the effect of soil-structure interaction", International Journal of Structural Stability and Dynamics, Vol.18, No.4, 1850061.
DOI
|
3 |
Paik, K. and Lee, J. (2008), "Calculation of bearing capacity of tapered drilled shafts in cohesionless soils using shape factor", Journal of the Korean Geotechnical Society, Vol.24, No.12, pp.13-22.
|
4 |
Prakash, S. and Chandrasekaran, V. (1977), "Free vibration characteristics of piles", Proceedings Ninth International Conference on Soil Mechanics and Foundation Engineering, Tokyo, Vol.2, pp.333-336.
|
5 |
Prakash, S. and Sharma, H.D. (1990), Pile Foundation in Engineering Practice, John Wiley and Sons, New York.
|
6 |
Ragab, A.M. and Aggour, M.S. (1986), "Free vibration of a soil pile system subjected to static loading", Computers and Geotechnics, Vol.2, No.3, pp.153-165.
DOI
|
7 |
Reese, L.C. and Van Impe, W.F. (2011), Single piles and Pile Groups Under Lateral Loading, 2nd edition, CRC Press, New York.
|
8 |
Valsangkar, A.J. and Pradhanang, R.B. (1987), "Free vibration of partially supported piles", Journal of Engineering Mechanics, Vol.113, No.8, pp.1244-1247.
DOI
|
9 |
Yesilce, Y. (2011), "DTM and DQEM for free vibration of axially loaded and semi-rigid-connected Reddy-Bickford beam", International Journal of Numerical Methods in Biomedical Engineering, Vol.27, No.5, pp.666-693.
DOI
|
10 |
Bhattacharya, S., Adhikari, S. and Alexander, N.A. (2009), "A simplified method for unified buckling and free vibration analysis of pile-supported structures in seismically liquefiable soils", Soil Dynamics and Earthquake Engineering, Vol.29, No.8, pp.1220-1235.
DOI
|
11 |
Carpinteri, A., Malvano, R., Manuello, A. and Piana, G. (2014), "Fundamental frequency evolution in slender beams subjected to imposed axial displacements", Journal of Sound and Vibration, Vol.333, No.11, pp.2390-2403.
DOI
|
12 |
Catal, S. (2008), "Solution of free vibration equations of beam on elastic soil by using differential transform method", Applied Mathematical Modelling, Vol.32, No.9, pp.1744-1757.
DOI
|
13 |
El Naggar, M. and Wei, J.Q. (1999), "Axial capacity of tapered piles established from model tests", Canadian Geotechnical Journal, Vol.36, No.6, pp.1185-1999.
DOI
|
14 |
Gabr, M., Wang, J. and Kiger, S.A. (1994), "Effect of boundary conditions on buckling of friction piles", Journal of Engineering Mechanics, Vol.120, No.6, pp.1392-1400.
DOI
|
15 |
Goodno, B.J. and Gere, J.M. (2018), Mechanics of Materials, 9th edition, Cengage, New York.
|
16 |
Halabe, U.B. and Jain, S.K. (1996), "Lateral free vibration of a single pile with or without an axial load", Journal of Sound and Vibration, Vol.195, No.3, pp.531-544.
DOI
|
17 |
Hu, C., Cheng, C. and Chen, Z. (2008), "Nonlinear transverse free vibrations of piles", Journal of Sound and Vibration, Vol.317, No.3-5, pp.937-954.
DOI
|
18 |
Humar, J.L. (1990), Dynamics of Structures, Prentice Hall, New Jersey.
|
19 |
Karnovsky, I.A. and Lebed, O.I. (2001), Formulas for Structural Dynamics, McGraw Hill, New York.
|
20 |
Carnahan, B., Luther, H.A. and Wilkes, J.O. (1969), Applied Numerical Method, John Wiley and Sons, New York.
|