Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation

Journal of Applied Mechanics, Transactions ASME

Volumn 73, Issue 4, 2006, Pages 664-671

  Santillan, S T ^b   Virgin, L N ^a,b   Plaut, R H ^a,c  

^a ASME   (United States)

^b Duke University   (United States)

^c State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUILIBRIUM STATES; HEAVY BEAMS; INCLINED RIGID FOUNDATIONS; POST BUCKLING;

FOUNDATIONS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; PHASE EQUILIBRIA; STRUCTURAL LOADS; VIBRATIONS (MECHANICAL);

BUCKLING;

EID: 33749550895     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2165237     Document Type: Article

References (23)

1. Clapp, T. G., and Peng, H., 1990, "Buckling of Woven Fabrics, Part I: Effect of Fabric Weight," Text. Res. J., 60, pp. 228-234.
2. Clapp, T. G., and Peng, H., 1990, "Buckling of Woven Fabrics, Pan II: Effect of Weight and Frictional Couple," Text. Res. J., 60, pp. 285-292.
3. Clapp, T. G., and Peng, H., 1990, "Buckling of Woven Fabrics, Part III: Experimental Validation of Theoretical Models," Text. Res. J., 60, pp. 525-533.
4. Gershon, D., and Grosberg, P., 1993, "The Buckling of Fabrics During Feeding Into Automatic Sewing Stations," J. Text. Inst., 83, pp. 35-44.
5. Plaut, R. H., and Mróz, Z., 1992, "Uni-Directional Buckling of a Pinned Elastica With External Pressure," Int. J. Solids Struct., 29, pp. 1241-1253.
6. Plaut, R. H., and Mróz, Z., 1994, "Upheaval Buckling of a Mechanism Under External Pressure and Compressive Loading," Int. J. Mech. Engrg. Educ., 22, pp. 79-82.
7. Maltby, T. C., and Calladine, C. R., 1995, "An Investigation Into Upheaval Buckling of Buried Pipelines. II. Theory and Analysis of Experimental Observations," Int. J. Mech. Sci., 37, pp. 965-983.
8. Maltby, T. C., and Calladine, C. R., 1995, "An Investigation Into Upheaval Buckling of Buried Pipelines. I. Experimental Apparatus and Some Observations," Int. J. Mech. Sci., 37, pp. 943-963.
9. Croll, J. G. A., 1997, "A Simplified Model of Upheaval Thermal Buckling of Subsea Pipelines," Thin-Walled Struct., 29, pp. 59-78.
10. Hunt, G. W., and Blackmore, A., 1997, "Homoclinic and Heteroclinic Solutions of Upheaval Buckling." Philos. Trans. R. Soc. London, Ser. A. 355. pp. 2185-3295.
11. Mørk, K. J., Bjømsen, T., Venås, A., and Thorkildsen, F., 1997, "A Reliability-Based Calibration Study for Upheaval Buckling of Pipelines," ASME J. Offshore Mech. Arct. Eng., 119, pp. 203-208.
12. Kim, H. O., and Chang, D. C., 1999, "Method Yields Download Force to Arrest Upheaval Buckling in Offshore Lines," Oil Gas J., 97, pp. 78-83.
13. Kopp, C., Rahn, C. D., and Paul, F. W., 2000, "Measuring Deformations of Limp Fabrics for Material Handling," Text. Res. J., 70, pp. 920-932.
14. Andreuzzi, F., and Perrone, A., 2001, "Analytical Solution for Upheaval Buckling in Buried Pipeline," Comput. Methods Appl. Mech. Eng., 190, pp. 5081-5087.
15. Domokos, G., Fraser, W. B., and Szeberényi, I., 2003, "Symmetry-Breaking Bifurcations of the Uplifted Elastic Strip," Physica D, 185, pp. 67-77.
16. Palmer, A. C., and Williams, P. J., 2003, "Frost Heave and Pipeline Upheaval Buckling," Can. Geotech. J., 40, pp. 1033-1038.
17. Abduljauwad, S. N., Al-Ghamedy, H. N., Siddiqui, J. A., Asi, I. M., and Al-Shayea, N. A., 2004, "Stability of Vertically Bent Pipelines Buried in Sand," ASME J. Pressure Vessel Technol., 126, pp. 382-390.
18. Bogy, D. B., and Paslay, P. R., 1964, "Buckling of Drill Pipe in an Inclined Hole," ASME J. Eng. Ind., 86, pp. 214-220.
19. Sampaio, Jr., J. H. B., and Hundhausen, J. R., 1998, "A Mathematical Model and Analytical Solution for Buckling of Inclined Beam-Columns," Appl. Math. Model., 22, pp. 405-421.
20. Wang, C. Y., 1984, "On Symmetric Buckling of a Finite Flat-Lying Heavy Sheet," ASME J. Appl. Mech., 51, pp. 278-282.
21. Flaherty, J. E., and Keller, J. B., 1973, "Contact Problems Involving a Buckled Elastica," SIAM J. Appl. Math., 24, pp. 215-225.
22. Santillan, S., Virgin, L. N., and Flaut, R. H., 2005, "Equilibria and Vibration of a Heavy Pinched Loop," J. Sound Vib., 288, pp. 81-90.
23. Plaut, R. H., Taylor, R. P., and Dillard, D. A., 2004, "Postbuckling and Vibration of a Flexible Strip Clamped at its Ends to a Hinged Substrate," Int. J. Solids Struct., 41, pp. 859-870.