Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-84b7d79bbc-7nlkj Total loading time: 0 Render date: 2024-07-29T02:28:48.597Z Has data issue: false hasContentIssue false

References

Published online by Cambridge University Press:  05 October 2014

James F. Doyle
James F. Doyle
Affiliation:
Purdue University, Indiana
Get access

Summary

A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Nonlinear Structural Dynamics Using FE Methods , pp. 613 - 618
Publisher: Cambridge University Press
Print publication year: 2014

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Abramowitz, M., and Stegun, I. A., Handbook of Mathematical Functions, Dover, New York, 1965.Google Scholar
2. Allen, M. P., “Introduction to Molecular Dynamics Simulation,” in Computational Soft Matter: From Synthetic Polymers to Proteins, N., Attig, K., Binder, H., Grubmuller, and K., Kremer, eds., John von Neumann Institute for Computing, Juelich, Germany, 2004.Google Scholar
3. Baker, G. L., and Gollub, J. P., Chaotic Dynamamics: an Introduction, Cambridge University Press, Cambridge, UK, 1990.Google Scholar
4. Bathe, K.-J., and Baig, M. M. I., “On a Composite Implicit Time Integration Procedure for Nonlinear Dynamics,”Computers & Structures, 83, 2513–24, 2007.Google Scholar
5. Bathe, K.-J., Finite Element Procedures, Prentice-Hall, Englewood Cliffs, NJ, 1996.Google Scholar
6. Bathe, K.-J., “Conserving Energy and Momentum in Nonlinear Dynamics: A Simple Implicit Time Integration Scheme,”Computers & Structures, 85, 437–45, 2007.CrossRefGoogle Scholar
7. Bedford, A., and Drumheller, D. S., Elastic Wave Propagation, Wiley, New York, 1994.Google Scholar
8. Belytschko, T., Schwer, L., and Klein, M. J., “Large Displacement, Transient Analysis of Space Frames,”International Journal for Numerical Methods in Engineering, 11, 65–84,1977.CrossRefGoogle Scholar
9. Belytschko, T., “An Overview of Semidiscretization and Time Integration Procedures,” in Computational Methods for Transient Analysis, T., Belytschko and T. J. R., Hughes, eds., Elsevier, New York, 1983, pp. 1–65.Google Scholar
10. Bergan, P. G., and Felippa, C. A., “A Triangular Membrane Element with Rotational Degrees of Freedom,”Computer Methods in Applied Mechanics and Engineering, 50, 25–69,1985.CrossRefGoogle Scholar
11. Bilah, K. Y., and Scanlan, R. H., “Resonance, Tacoma Narrows Bridge Failure, and Undergraduate Physics Textbooks,”American Journal of Physics, 59(2), 118–24, 1991.Google Scholar
12. Bishop, R. E. D., Gladwell, G. M. L., and Michaelson, S., The Matrix Analysis of Vibrations, Cambridge University Press, Cambridge, UK, 1965.Google Scholar
13. Bishop, R. E. D., and Johnson, D. C, Mechanic of Vibrations, Cambridge University Press, Cambridge, UK, 1960.Google Scholar
14. Bisplinghoff, R. L., and Ashley, H, Principles of Aeroelasticity, Dover, New York, 1962.Google Scholar
15. Brigham, E. O., The Fast Fourier Transform, Prentice-Hall, Englewood Cliffs, NJ, 1973.Google Scholar
16. Choi, S.-W., “Impact Damage of Layered Material Systems”, Ph.D. thesis, Purdue University, Lafayette, IN, August 2002.
17. Clough, R. W., and Penzien, J., Dynamics of Structures, 2nd ed., McGraw-Hill, New York, 1975, 1995.Google Scholar
18. Cook, R. D., Malkus, D. S. and Plesha, M. E., Concepts and Applications of Finite Element Analysis, 3rd ed., Wiley, New York, 1989.Google Scholar
19. Cornelius, W. K., and Kubitza, W. K., “Experimental Investigation of Longitudinal Wave Propagation in an Elastic Rod with Coulomb Friction,”Experimental Mechanics, 10, 137–44, 1970.CrossRefGoogle Scholar
20. Craig, R. R., Structural Dynamics, Wiley, New York, 1981.Google Scholar
21. Crisfield, M. A., Nonlinear Finite Element Analysis of Solids and Structures, Vol 2: Advanced Topics, Wiley, New York, 1997.Google Scholar
22. Dhondt, G., The Finite Element Method for Three-Dimensional Thermomechanical Applications, Wiley, Chichester, England, 2004.CrossRefGoogle Scholar
23. Djibo, L.-O. K., “Natural Conformations: A Study of the Shape of Structures in Equilibrium”, M.S. thesis, Purdue University, Lafayette, IN, 2005.
24. Doyle, J. F., and Sun, C.-T., “Theory of Elasticity: An Introduction to Fundamental Principles and Methods of Analysis”, A&AE 553 class notes, Purdue University, Lafayette, IN, 2006.
25. Doyle, J. F., Wave Propagation in Structures, 2nd ed., Springer-Verlag, New York, 1997.CrossRefGoogle Scholar
26. Doyle, J. F., Static and Dynamic Analysis of Structures, Kluwer, Dordrecht, The Netherlands, 1991.CrossRefGoogle Scholar
27. Doyle, J. F., Nonlinear Analysis of Thin-walled Structures: Statics, Dynamics, and Stability, Springer-Verlag, New York, 2001.CrossRefGoogle Scholar
28. Doyle, J. F., Guided Explorations of the Mechanics of Solids and Structures: Strategies for Solving Unfamiliar Problems, Cambridge University Press, Cambridge, UK, 2009.CrossRefGoogle Scholar
29. Doyle, J. F., “Mechanics of Structural Materials: From Atoms to Continuua”, supplemental class notes, Purdue University, Lafayette, IN, 2010.
30. Doyle, J. F., “Statics of Structures: Mechanics, Modeling, and Analyses”, A&AE 453 class notes, Purdue University, Lafayette, In, 2011.
31. Dowell, E. H., A Modern Course in Aeroelasticity, Kluwer, Dordrecht, The Netherlands, 1989.CrossRefGoogle Scholar
32. Elmore, W. C., and Heald, M. A., Physics of Waves, Dover, New York, 1985.Google Scholar
33. Eshleman, R. L., and Eubanks, R. A., “On the Critical Speeds of a Continuous Rotor,”Journal of Engineering for Industry, 91, 1180–88, 1969.CrossRefGoogle Scholar
34. Ewing, W. M. and Jardetzky, W. S., Elastic Waves in Layered Media, McGraw-Hill, New York, 1957.Google Scholar
35. Fahy, F. J., Sound and Structural Vibration: Radiation, Transmission and Response, Academic Press, New York, 1985.Google Scholar
36. Galvanetto, U., and Crisfield, M. A., “An Energy-Conserving Co-Rotational Procedure for the Dynamics of Planar Beam Structures,”International Journal for Numerical Methods in Engineering, 39, 2265–82, 1992.Google Scholar
37. Glendinning, P., Stability, Instability and Chaos, Cambridge University Press, Cambridge, UK, 1994.CrossRefGoogle Scholar
38. Goldsmith, W., Impact, Edward Arnold, London, 1960.Google Scholar
39. Graff, K. F., Wave Motion in Elastic Solids, Ohio State University Press, Columbus, OH, 1975.Google Scholar
40. Haines, D. W., “Approximate Theories for Wave Propagation and Vibrations in Elastic Rings and Helical Coils of Small Pitch,”International Journal of Solids and Structures, 10, 1405–16, 1974.CrossRefGoogle Scholar
41. Hamilton, W. R., The Mathematical Papers of Sir W. R. Hamilton, Cambridge University Press, Cambridge, UK, 1940.Google Scholar
42. Hinchliffe, A., Molecular Modelling for Beginners, 2nd ed., Wiley, Chichester, England, 2008.Google Scholar
43. Humar, J. L., Dynamics of Structures, Prentice-Hall, Englewood Cliffs, NJ, 1990.Google Scholar
44. Ince, E. L., Ordinary Differential Equations, Dover, New York, 1956.Google Scholar
45. James, M. L., Smith, G. M., Wolford, J. C., and Whaley, P. W., Vibration of Mechanical and Structural Systems, Harper and Row, New York, 1989.Google Scholar
46. Johnson, K. L., Contact Mechanics, Cambridge University Press, Cambridge, UK, 1985.CrossRefGoogle Scholar
47. Jordon, D. W., and Smith, P., Nonlinear Ordinary Differentia Equations, 2nd ed., Clarendon Press, Oxford, UK, 1987.Google Scholar
48. Junger, M. C., and Feit, D., Sound, Structures, and their Interaction, MIT Press, Cambridge, MA, 1986.Google Scholar
49. Kalnins, A., “On Fundamental Solutions and Green's Functions in the Theory of Elastic Plates,”Journal of Applied Mechanics, 33, 31–8, 1966.CrossRefGoogle Scholar
50. Kuhl, D., and Crisfield, M.A., “Energy-Conserving and Decaying Algorithms in Non-Linear Structural Dynamics,”International Journal for Numerical Methods in Engineering, 45, 569–99, 1999.3.0.CO;2-A>CrossRefGoogle Scholar
51. Lamb, H., “On the Propagation of Tremors over the Surfaces of an Elastic Solid,”Philosophical Transactions of the Royal Society of London A, 203, 1–42, 1904.CrossRefGoogle Scholar
52. Lanczos, C., The Variational Principles of Mechanics, University of Toronto Press, Toronto, Canada, 1966.Google Scholar
53. Langhaar, H. L., Dimensional Analysis and Theory of Models, Wiley, New York, 1951.Google Scholar
54. Langhaar, H. L., Energy Methods in Applied Mechanics, Wiley, New York, 1962.Google Scholar
55. Leipholz, H., Stability Theory, An Introduction to the Stability of Dynamic Systems and Rigid Bodies, 2nd ed., Wiley, New York, 1987.Google Scholar
56. Leissa, A. W., Vibration of Shells, NASA SP-288, Houston, TX, 1973.Google Scholar
57. Main, I. G., Vibrations and Waves in Physics, 3rd ed., Cambridge University Press, Cambridge, UK, 1993.CrossRefGoogle Scholar
58. Markus, S., Mechanics of Vibrations of Cylindrical Shells, Elsevier, New York, 1988.Google Scholar
59. Megson, T. H. G., Aircraft Structures, Halsted Press, New York, 1990.Google Scholar
60. Meirovitch, L., Elements of Vibration Analysis, McGraw-Hill, New York, 1986.Google Scholar
61. Melosh, R. J., Structural Engineering Analysis by Finite Elements, Prentice-Hall, Englewood Cliffs, NJ, 1990.Google Scholar
62. Meriam, J. L., Dynamics, 2nd ed., Wiley, New York, 1975.Google Scholar
63. Milne-Thomson, L. M., Theoretical Hydrodynamics, 4th ed., Macmillan, New York, 1960.Google Scholar
64. Naghdi, P. M. and Berry, J. G., “On the Equations of Motion of Cylindrical Shells,”Journal of Applied Mechanics, 21(2), 160–6, 1964.Google Scholar
65. Novozhilov, V. V., Foundations of the Nonlinear Theory of Elasticity, Graylock Press, Rochester, NY, 1953.Google Scholar
66. Oden, J. T., Mechanics of Elastic Structures, McGraw-Hill, New York, 1967.Google Scholar
67. Panovko, Y. G., and Gubanova, I. I., Stability and Oscillations of Elastic Systems: Paradoxes, Fallacies, and New Concepts, Consultants Bureau, New York, 1965.Google Scholar
68. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., Numerical Recipes, 2nd ed., Cambridge University Press, Cambridge, UK, 1992.Google Scholar
69. Przemieniecki, J. S., Theory of Matrix Structural Analysis, Dover, New York, 1985.Google Scholar
70. Reissner, E., “Stress and Displacement of Shallow Spherical Shells,”Journal of Mathematical Physics, 25(1), 80–5, 1946.Google Scholar
71. Ripperger, E. A. and Abramson, H. N., “Reflection and Transmission of Elastic Pulses in a Bar at a Discontinuity in Cross Section,”Third Midwestern Conference on Solid Mechanics, University of Michigan Press, Ann Arbor, 1957, 135–145.Google Scholar
72. Rizzi, S. A. and Doyle, J. F., “Spectral Analysis of Wave Motion in Plane Solids with Boundaries,”Journal of Vibration and Acoustics, 114, 133–40, 1992.CrossRefGoogle Scholar
73. Rizzi, S. A. and Doyle, J. F., “A Spectral Element Approach to Wave Motion in Layered Solids,”Journal of Vibration and Acoustics, 114, 569–577, 1992.CrossRefGoogle Scholar
74. Saaty, T. L., and Bram, J., Nonlinear Mathematics, Dover, New York, 1981.Google Scholar
75. Seelig, J. M., and Hoppmann, W. H. II, “Impact on an Elastically Connected Double-Beam System,”Journal of Applied Mechanics, 31, 621–6, 1964.CrossRefGoogle Scholar
76. Sehmi, N. S., Large Order Structural Eigenanalysis Techniques, Ellis Horwood, Chichester, England, 1989.Google Scholar
77. Shames, I. H., and Dym, C. L., Energy and Finite Element Methods in Structural Analysis, Hemisphere, Miami, FL, 1985.Google Scholar
78. Slotine, J.-J. E., and Li, W., Applied Nonlinear Control, Prentice-Hall, Englewood Cliffs, NJ, 1991.Google Scholar
79. Stricklin, J. A, Haisler, E. E., Tisdale, P. R., and Gunderson, R., “A Rapidly Converging Triangular Plate Element,”AAIA Journal, 7(1), 180–1, 1969.Google Scholar
80. Suh, N. P, “Helical Coils as Impact Load Dispersers,”Journal of Engineering for Industry, 92(1), 197–207, 1970.CrossRefGoogle Scholar
81. Tedesco, J. W., McDougal, W. G., and Allen Ross, C., Structural Dynamics: Theory and Applications, Addison-Wesley, Reading, MA, 1999.Google Scholar
82. Thompson, J. M. T., and Hunt, G. W., Elastic Stability, Wiley, London, 1993.Google Scholar
83. Thomson, W. T., Theory of Vibrations with Applications, Prentice-Hall, Englewood Cliffs, NJ, 1981.Google Scholar
84. Timoshenko, S. P., and Gere, J. M., Theory of Elastic Stability, McGraw-Hill, New York, 1963.Google Scholar
85. Timoshenko, S. P. and Goodier, J. N., Theory of Elasticity, McGraw-Hill, New York, 1970.Google Scholar
86. Timoshenko, S. P., and Woinowsky-Krieger, S., Theory of Plates and Shells, McGraw-Hill, New York, 1968.Google Scholar
87. Viktorov, I. A., Rayleigh and Lamb Waves Physical Theory and Applications, Plenum Press, New York, 1967.Google Scholar
88. Weaver, W., and Gere, J. M., Matrix Analysis of Framed Structures, Van Nostrand, New York, 1980.Google Scholar
89. Weaver, W., and Johnston, P. R., Finite Elements for Structural Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1984.Google Scholar
90. Wells, D. A., Theory and Problems of Lagrangian Dynamics, Schaum's Outline Series, McGraw-Hill, New York, 1967.Google Scholar
91. Whittaker, E. T. and Watson, G. N., A Course of Modern Analysis, Cambridge University Press, Cambridge, UK, 1927.Google Scholar
92. Wilkinson, J. H., “Note on Quadratic Convergence of the Cyclic Jacobi Process,”Numerische Mathematik, 4, 296–300, 1962.CrossRefGoogle Scholar
93. Wittrick, W. H., “On Elastic Wave Propagation in Helical Springs,”International Journal of Mechanical Science, 8, 25–47, 1966.CrossRefGoogle Scholar
94. Xie, W.-C., Dynamic Stability of Structures, Cambridge University Press, Cambridge, UK, 2006.Google Scholar
95. Xu, X.-P., and Needleman, A., “Numerical Simulations of Fast Crack Growth in Brittle Solids,”Journal of Mechanics and Physics of Solids, 42(9), 1397–1434, 1994.CrossRefGoogle Scholar
96. Yang, T. Y., Finite Element Structural Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1986.Google Scholar
97. Young, D. F., “Similitude, Modeling, and Dimensional Analysis,” in Handbook on Experimental Mechanics, A. S., Kobayashi, ed., Taylor and Francis, London, 1993, pp. 601–34.Google Scholar
98. Ziegler, H., Principles of Structural Stability, Ginn and Company, Boston, 1968.Google Scholar
99. Zienkiewicz, O. C. and Taylor, R. L., The Finite Element Method, 4th ed., McGraw-Hill, New York, 1989.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • References
  • James F. Doyle, Purdue University, Indiana
  • Book: Nonlinear Structural Dynamics Using FE Methods
  • Online publication: 05 October 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9781139858717.013
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • References
  • James F. Doyle, Purdue University, Indiana
  • Book: Nonlinear Structural Dynamics Using FE Methods
  • Online publication: 05 October 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9781139858717.013
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • References
  • James F. Doyle, Purdue University, Indiana
  • Book: Nonlinear Structural Dynamics Using FE Methods
  • Online publication: 05 October 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9781139858717.013
Available formats
×