A FINITE-DIFFERENCE METHOD FOR THE FREE-VIBRATION ANALYSIS OF STEPPED TIMOSHENKO BEAMS AND SHAFTS

Sarıgül (Aydın) A. S., Aksu G.

MECHANISM AND MACHINE THEORY, vol.21, no.1, pp.1-12, 1986 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 1
  • Publication Date: 1986
  • Doi Number: 10.1016/0094-114x(86)90024-8
  • Journal Name: MECHANISM AND MACHINE THEORY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.1-12
  • Dokuz Eylül University Affiliated: Yes

Abstract

In the weak field expansion of euclidean quantum gravity, an analysis of the Wilson loops in terms of the gauge group, $SO(4)$, shows that the correspondent statistical system does not develope any configuration with localized curvature at low temperature. Such a ``non-local'' behavior contrasts strongly with that of usual gauge fields. We point out a possible relation between this result and those of the numerical simulations of quantum Regge Calculus. We also give a general quantum formula for the static potential energy of the gravitational interaction of two masses, which is compatible with the mentioned vacuum structure.