skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Support Conditions for Free Boundary-Condition Modal Testing.

Abstract

Abstract not provided.

Authors:
; ;
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1148124
Report Number(s):
SAND2007-3734J
522831
DOE Contract Number:
DE-AC04-94AL85000
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sound and Vibration; Related Information: Proposed for publication in Sound and Vibration.
Country of Publication:
United States
Language:
English

Citation Formats

Carne, Thomas G., Griffith, Daniel, and Casias, Miguel E. Support Conditions for Free Boundary-Condition Modal Testing.. United States: N. p., 2007. Web.
Carne, Thomas G., Griffith, Daniel, & Casias, Miguel E. Support Conditions for Free Boundary-Condition Modal Testing.. United States.
Carne, Thomas G., Griffith, Daniel, and Casias, Miguel E. Fri . "Support Conditions for Free Boundary-Condition Modal Testing.". United States. doi:.
@article{osti_1148124,
title = {Support Conditions for Free Boundary-Condition Modal Testing.},
author = {Carne, Thomas G. and Griffith, Daniel and Casias, Miguel E.},
abstractNote = {Abstract not provided.},
doi = {},
journal = {Sound and Vibration},
number = ,
volume = ,
place = {United States},
year = {Fri Jun 01 00:00:00 EDT 2007},
month = {Fri Jun 01 00:00:00 EDT 2007}
}
  • Abstract not provided.
  • In this work an experimental procedure is proposed to obtain the lowest free in-plane vibration modes of an aluminum plate. Responses are measured along two longitudinal directions on the plate surface at selected points by an out-of-plane laser Doppler vibrometer set up to measure in-plane vibrations. Excitation is made at one specific point of the plate edge using a light impact hammer. The plate is supported by silicone spheres to simulate the free edge boundary conditions and ensure a stable stationary position in order to keep the laser focus distance. Numerical finite element simulations are carried out to compute themore » in-plane modes and frequencies in order to compare them with the corresponding experimental results. The identified experimental modes agree very well with the numerical predictions. The smooth in-plane modes can be used to identify the plate material constitutive model parameters using existing methods proposed elsewhere by the authors.« less
  • This work deals with the behavior - in the L[sub 2] norm - of the condition number and distribution of the L[sub 2] singular values of the preconditioned operators B[sub h][sup [minus]1]A[sub h] and A[sub h]B[sub h][sup [minus]1][sub h], where A[sub h] and B[sub h] are finite element discretizations of second-order elliptic operators, A and B. In an earlier work, Manteuffel and Parter proved that B[sub h][sup [minus]1]A[sub h] (A[sub h]B[sub h][sup [minus]1]) have a uniformly bounded L[sub 2] condition number if and only if A[sup *] and B[sup *] (A and B) have the same boundary conditions. This earliermore » work used the H[sub 2] regularity of A and B, as well as optimal L[sub 2] error estimates and a quasi-uniform grid for the finite element spaces. In the present paper, the authors first extend these condition number results to the case in which neither H[sub 2] regularity (and hence optimal L[sub 2] error estimates) nor the quasi-uniformity assumption need to be satisfied. Instead, it is assumed that the principle part of the preconditioning operator B is a scalar multiple, 1/[mu], of the principle part of A.« less
  • We aim to offer a kind of unifying view on two popular topics in the studies of nonperturbative aspects of Yang-Mills theories in the Landau gauge: the so-called Gribov-Zwanziger approach and the Kugo-Ojima confinement criterion. Borrowing results from statistical thermodynamics, we show that imposing the Kugo-Ojima confinement criterion as a boundary condition leads to a modified yet renormalizable partition function. We verify that the resulting partition function is equivalent with the one obtained by Gribov and Zwanziger, which restricts the domain of integration in the path integral within the first Gribov horizon. The construction of an action implementing a boundarymore » condition allows one to discuss the symmetries of the system in the presence of the boundary. In particular, the conventional Becchi-Rouet-Stora-Tyutin symmetry is softly broken.« less
  • We consider an elliptic operator in a multidimensional domain with frequently changing boundary conditions in the case when the homogenized operator contains the Dirichlet boundary condition. We prove the uniform resolvent convergence of the perturbed operator to the homogenized operator and obtain estimates for the rate of convergence. A complete asymptotic expansion is constructed for the resolvent when it acts on sufficiently smooth functions. Bibliography: 41 titles.