A FINITE-DIFFERENCE METHOD FOR THE FREE-VIBRATION ANALYSIS OF STEPPED TIMOSHENKO BEAMS AND SHAFTS
MECHANISM AND MACHINE THEORY, vol.21, no.1, pp.1-12, 1986 (SCI-Expanded, Scopus)
- 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), Scopus
- 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.