FINITE DIFFERENCING METHODS FOR THE MEASUREMENT OF DYNAMIC BENDING STRAIN
โ Scribed by D.G. KARCZUB; M.P. NORTON
- Book ID
- 102608212
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 297 KB
- Volume
- 226
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
Finite di!erencing formulations for dynamic bending strain are used to de"ne measurement methods for autospectral, spatial and time history predictions of dynamic bending strain. These measurement methods provide predictions of dynamic bending strain in both near"eld and far"eld regions from discrete measurements of displacement, velocity or acceleration. The di!erencing formulations considered use either three-or four-point "nite di!erencing requiring simultaneous measurements at three or four positions, respectively. The number of simultaneous measurements required is reduced to two if the response is stationary and frequency response methods are used. The main limitation of these di!erencing methods is that the spatial extent of the measurement array precludes the prediction of dynamic bending strain at locations such as a clamped boundary where dynamic strain is usually largest. Experimental results are presented demonstrating autospectral, spatial and time history predictions of dynamic strain in both near"eld and far"eld regions, and sources of errors in predictions are discussed. As structural intensity is given by the product of dynamic stress and velocity, the work presented here is also of interest for structural intensity measurements, particularly in near"eld regions when evanescent waves cannot be neglected.
๐ SIMILAR VOLUMES
An analysis of some nonconforming approximations of the Stokes problem is presented. The approximations are based on a strain-pressure variational formulation. In particular, a convergence and stability result for a method recently proposed by Bathe and Pantuso is provided.