Elastic rods

  • Khanh Chau Le


Take an arbitrary plane figure S that is connected (but need not be simply connected). By moving this figure along a smooth curve c(x) so that c(x) always remains orthogonal to S and cuts its centroid, we fill some domain B in the three-dimensional Euclidean point space ɛ. (Figure 4.1). A linear elastic body occupying the domain B in its stress-free undeformed state is called an elastic rod, the curve c(x) its central line, and S its cross section.


Central Line Dispersion Curve Displacement Field Strain Energy Density Torsional Vibration 
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Copyright information

© Springer-Verlag Berlin Heidelberg NewYork 1999

Authors and Affiliations

  • Khanh Chau Le
    • 1
  1. 1.Ruhr Universität BochumBochumGermany

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