𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Dualities in vibrating rods and beams: continuous and discrete models

✍ Scribed by Y.M. Ram; S. Elhay

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
408 KB
Volume
184
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

Consider an axially vibrating rod with constant material properties but with a varying cross-sectional area. There exist two rods, with generally different cross-sections, which have the same spectrum. The connection between the eigenfunctions of one rod and the other is given. It is shown that this duality carries across from the continuous to the analogous discrete model. Similar results are established for a certain model of the vibrating beam.

πŸ“œ SIMILAR VOLUMES

ESTIMATION BY DATA AUGMENTATION IN REGRE
ESTIMATION BY DATA AUGMENTATION IN REGRESSION MODELS WITH CONTINUOUS AND DISCRETE COVARIATES MEASURED WITH ERROR
✍ JOUNI KUHA πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 306 KB πŸ‘ 2 views

Estimation methods are considered for regression models which have both misclassified discrete covariates and continuous covariates measured with error. Adjusted parameter estimates are obtained using the method of data augmentation, where the true values of the covariates measured with error are re

The real effects of inflation in continu
The real effects of inflation in continuous versus discrete time sticky price models
✍ Wai-Yip Alex Ho; James Yetman πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 293 KB

## Abstract We demonstrate the important implications of the assumptions of discrete time in many sticky price models of the macroeconomy. For a given level of menu costs, discrete time models imply longer average contract length but smaller real effects of both trend inflation and monetary shocks

ON OPTIMAL SELECTION OF INTERIOR POINTS
ON OPTIMAL SELECTION OF INTERIOR POINTS FOR APPLYING DISCRETIZED BOUNDARY CONDITIONS IN DQ VIBRATION ANALYSIS OF BEAMS AND PLATES
✍ C. Shu; W. Chen πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 186 KB

The direct implementation of derivative boundary conditions at edge points was demonstrated to be simple, Β―exible and computationally ecient in the vibration analysis of beams and plates by using the dierential quadrature (DQ) method. In the approach, the discretized governing equations at certain i