Transversely Isotropic Beams under Initial Stress
Abstract
A linearized theory of transversely isotropic beams, which accounts for initial non-uniform states of stress, is derived by perturbing and averaging the non-linear equations of elasticity. This theory provides a rigorous foundation for previously derived linear equations as well as displaying some new features concerned with the stability and vibration of beams acted upon by a variety of initial stresses. A comparison is made to a previous theory (suitably one-dimensionalized) by Herrmann and Armenakas which was obtained by variational methods and, although the results are vaguely similar, surprising differences are found which support a previous criticism of Masur.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1972
- Accession Number
- AD0740739
Entities
People
- Eugene J. Brunelle