Browse > Article
http://dx.doi.org/10.5050/KSNVE.2010.20.4.405

Vibration Characteristics of Embedded Piles Carrying a Tip Mass  

Choi, Dong-Chan (한양대학교 대학원 토목공학과)
Byun, Yo-Seph (한양대학교 대학원 토목공학과)
Oh, Sang-Jin (전남도립대학 토목환경과)
Chun, Byung-Sik (한양대학교 토목공학과)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.20, no.4, 2010 , pp. 405-413 More about this Journal
Abstract
The vibration characteristics of fully and partially embedded piles with flexibly supported end carrying an eccentric tip mass are investigated. The pile model is based on the Bernoulli-Euler theory and the soil is idealized as a Winkler model for mathematical simplicity. The governing differential equations for the free vibrations of such members are solved numerically using the corresponding boundary conditions. The lowest three natural frequencies and corresponding mode shapes are calculated over a wide range of non-dimensional system parameters: the rotational spring parameter, the relative stiffness, the embedded ratio, the mass ratio, the dimensionless mass moment of inertia, and the tip mass eccentricity.
Keywords
Embedded Pile; Tip Mass; Flexibly Support; Free Vibration; Natural Frequency; Mode Shape;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Nielsen, M. T., 1982, "Resistance of a Soil Layer to Horizontal Vibration of a Pile," Earthquake Engineering and Structural Dynamics, Vol. 10, pp. 497-510.   DOI
2 Shin, S. C., Jin, J. K., Oh, S. J. and Park, K. K., 2002, "Free Vibration Characteristics of Partially Embedded Piles," Proceedings of the KSNVE Spring Annual Conference, pp. 435-440.   과학기술학회마을
3 Catal, H. H., 2006, "Free Vibration of Semi-rigid Connected and Partially Embedded Piles with the Effects of the Bending Moment, Axial and Shear Force," Engineering Structures, Vol. 28, pp. 1911-1918.
4 Bhattacharya, S., Adhikari, S. and Alexander, N. A., 2009, "A Simplified Method for Unified Buckling and Free Vibration Analysis of Pilesupported Structures in Seismically Liquefiable Soils," Soil Dynamics and Earthquake Engineering, Vol. 29, pp. 1220-1235.   DOI
5 Alexander, N. A., 2010, "Estimating the Nonlinear Resonant Frequency of a Single Pile in Nonlinear Soil," Journal of Sound and Vibration, Vol. 329, pp. 1137-1153.   DOI
6 Selvadurai, A. P. S., 1979, Elastic Analysis of Soil-foundation Interaction, Elsevie
7 Bowles, J. E., 2006, Foundation Analysis and Design, 5th Edition, McGraw-Hill.
8 Holloway, R., 1991, Foundation and Structural Problems, Blackwell Scientific Publications.
9 Timoshenko, S. P., Young, D. H. and Weaver, Jr., W., 1974, Vibration Problems in Engineering, 4th Edition, John Wiley & Sons.
10 Oh, S. J., Lee, B. K. and Lee, I. W., 2000, "Free Vibrations of Non-circular Arches with Non-uniform Cross-section," International Journal of Solids and Structures, Vol. 37, pp. 4871-4891.   DOI
11 Yokoyama, T., 1988, "Parametric Instability of Timoshenko Beams Resting on an Elastic Foundation," Computers & Structures, Vol. 28, pp. 207-216.   DOI
12 Wu, J.-S. and Hsu, S.-H., 2006, "A Unified Approach for the Free Vibration Analysis of an Elastically Supported Immersed Uniform Beam Carrying an Eccentric Tip Mass with Rotary Inertia," Journal of Sound and Vibration, Vol. 291, pp. 1122-1147.   DOI
13 Li, W. L., 2000, "Free Vibrations of Beams with General Boundary Conditions," Journal of Sound and Vibration, Vol. 237, pp. 709-725.   DOI
14 Valsangkar, A. J. and Pradhanang, R., 1987, "Effect of Foundation Continuity on Free Vibration of Partially Supported Piles," Proceedings of the 5th Canadian Conference on Earthquake Engineering, Ottawa, pp. 471-474.
15 West, R. P. and Pavlovic, M. N., 1999, "A Parametric Study of the Clustering of Modes in the Vibration of Partially Embedded Beams," International Journal of Mechanical Science, Vol. 41, pp. 547-559.   DOI
16 Lee, B. K., Lee, T. E., Yoon, H. M. and Choi, J. M., 2010, "Free Vibrations of Tapered Circular Arches with Constant Volume," Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 20, pp. 144-152.   과학기술학회마을   DOI