Publications

2007

Virgin, L. N., S. T. Santillan, and D. B. Holland. “Effect of gravity on the vibration of vertical cantilevers.” Mechanics Research Communications 34, no. 3 (April 1, 2007): 312–17. https://doi.org/10.1016/j.mechrescom.2006.12.006.

Todd, Michael D., Jonathan M. Nichols, Stephen T. Trickey, Mark Seaver, Christy J. Nichols, and Lawrence N. Virgin. “Bragg grating-based fibre optic sensors in structural health monitoring.” Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences 365, no. 1851 (February 2007): 317–43. https://doi.org/10.1098/rsta.2006.1937.

Stanciulescu, I., L. N. Virgin, and T. A. Laursen. “Finite element analysis of a slender isogrid structure.” Journal of Spacecraft and Rockets 44 (2007): 529–37.

Virgin, L. N. Vibration of axially loaded structures, 2007. https://doi.org/10.1017/CBO9780511619236.

Stanciulescu, I., L. N. Virgin, and T. A. Laursen. “Slender solar sail booms: Finite element analysis.” Journal of Spacecraft and Rockets 44, no. 3 (January 1, 2007): 528–37. https://doi.org/10.2514/1.20526.

Davis, R. B., L. N. Virgin, and A. M. Brown. “Cylindrical shell submerged in bounded acoustic media: A modal approach.” Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 5 (January 1, 2007): 4871–87. https://doi.org/10.2514/6.2007-2110.

2006

Santillan, S. T., L. N. Virgin, and R. H. Plaut. “Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation.” Journal of Applied Mechanics, Transactions ASME 73, no. 4 (July 1, 2006): 664–71. https://doi.org/10.1115/1.2165237.

Holland, D. B., I. Stanciulescu, L. N. Virgin, and R. H. Plaut. “Vibration and large deflection of cantilevered elastica compressed by angled cable.” AIAA Journal 44, no. 7 (July 1, 2006): 1468–76. https://doi.org/10.2514/1.18000.

Chen, H., and L. N. Virgin. “Finite element analysis of post-buckling dynamics in plates-Part I: An asymptotic approach.” International Journal of Solids and Structures 43, no. 13 (June 1, 2006): 3983–4007. https://doi.org/10.1016/j.ijsolstr.2005.04.036.

Chen, H., and L. N. Virgin. “Finite element analysis of post-buckling dynamics in plates. Part II: A non-stationary analysis.” International Journal of Solids and Structures 43, no. 13 (June 1, 2006): 4008–27. https://doi.org/10.1016/j.ijsolstr.2005.04.037.

Plaut, R. H., D. A. Dillard, and L. N. Virgin. “Postbuckling of elastic columns with second-mode imperfection.” Journal of Engineering Mechanics 132, no. 8 (2006): 898–901. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:8(898.

Virgin, L. N. “A reflection on nonlinear oscillations, dynamical systems, and bifurcations of vector fields.” Journal of Computational and Nonlinear Dynamics 1, no. 4 (January 1, 2006): 277–78. https://doi.org/10.1115/1.2338659.

2005

Holland, D. B., I. Stanciulescu, L. N. Virgin, and R. H. Plaut. “Vibration and large deflection of a beam-cable system.” Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 3 (December 19, 2005): 2130–42.

Santillan, S., L. N. Virgin, and R. H. Plaut. “Equilibria and vibration of a heavy pinched loop.” Journal of Sound and Vibration 288, no. 1–2 (November 22, 2005): 81–90. https://doi.org/10.1016/j.jsv.2004.12.016.

Xie, J., W. Ding, E. H. Dowell, and L. N. Virgin. “Hopf-flip bifurcation of high dimensional maps and application to vibro-impact systems.” Acta Mechanica Sinica/Lixue Xuebao 21, no. 4 (August 1, 2005): 402–10. https://doi.org/10.1007/s10409-005-0045-7.

Plaut, R. H., J. E. Sidbury, and L. N. Virgin. “Analysis of buckled and pre-bent fixed-end columns used as vibration isolators.” Journal of Sound and Vibration 283, no. 3–5 (May 20, 2005): 1216–28. https://doi.org/10.1016/j.jsv.2004.07.029.

Moniz, L., J. M. Nichols, C. J. Nichols, M. Seaver, S. T. Trickey, M. D. Todd, L. M. Pecora, and L. N. Virgin. “A multivariate, attractor-based approach to structural health monitoring.” Journal of Sound and Vibration 283, no. 1–2 (May 6, 2005): 295–310. https://doi.org/10.1016/j.jsv.2004.04.016.

Stanciulescu, I., L. N. Virgin, and T. A. Laursen. “Finite element analysis of slender solar sail booms.” Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 3 (January 1, 2005): 2121–29. https://doi.org/10.2514/6.2005-1969.

Plaut, R. H., L. A. Alloway, and L. N. Virgin. “Nonlinear oscillations of a buckled mechanism used as a vibration isolator.” Solid Mechanics and Its Applications 122 (January 1, 2005): 241–50. https://doi.org/10.1007/1-4020-3268-4_23.

2004

Chen, H., and L. N. Virgin. “Dynamic analysis of modal shifting and mode jumping in thermally buckled plates.” Journal of Sound and Vibration 278, no. 1–2 (November 22, 2004): 233–56. https://doi.org/10.1016/j.jsv.2003.10.054.

Todd, M. D., J. M. Nichols, C. J. Nichols, and L. N. Virgin. “An assessment of modal property effectiveness in detecting bolted joint degradation: Theory and experiment.” Journal of Sound and Vibration 275, no. 3–5 (August 23, 2004): 1113–26. https://doi.org/10.1016/j.jsv.2003.10.037.

Piiroinen, P. T., L. N. Virgin, and A. R. Champneys. “Chaos and period-adding; experimental and numerical verification of the grazing bifurcation.” Journal of Nonlinear Science 14, no. 4 (August 1, 2004): 383–404. https://doi.org/10.1007/s00332-004-0616-y.

Nichols, J. M., C. J. Nichols, M. D. Todd, M. Seaver, S. T. Trickey, and L. N. Virgin. “Use of data-driven phase space models in assessing the strength of a bolted connection in a composite beam.” Smart Materials and Structures 13, no. 2 (April 1, 2004): 241–50. https://doi.org/10.1088/0964-1726/13/2/001.

Plaut, R. H., and L. N. Virgin. “Three-dimensional postbuckling and vibration of vertical half-loop under self-weight.” International Journal of Solids and Structures 41, no. 18–19 (January 1, 2004): 4975–88. https://doi.org/10.1016/j.ijsolstr.2004.03.014.

Virgin, L. N., and R. H. Plaut. “Postbuckling and vibration of linearly elastic and softening columns under self-weight.” International Journal of Solids and Structures 41, no. 18–19 (January 1, 2004): 4989–5001. https://doi.org/10.1016/j.ijsolstr.2004.03.023.