The numerical representation and differentiation of experimental information is extended to full-field capability involving two independent variables. Bicubic spline, regression analysis and finite-element concepts are employed. Smoothing of the experimental data is accomplished mathematically. The technique are demonstrated by analysing loaded plates.
Get full access to this article
View all access options for this article.
References
1.
RowlandsR. E.LiberT.DanielI. M.RoseP.‘Higher order numerical differentiation of experimental infor-mation’, Experimental Mechanics197313 (3), 105–112.
2.
RowlandsR. E.LiberT.DanielI. M.RoseP.‘Stress analysis of anisotropic laminated plates’, presented at 13th Int. Congress of Theo. and Appl. Mechanics, Moscow, USSR, 1973. Published inAIAA Journal12 (7), 903–908.
SwinsonW. F.BowmanC. E.‘Application of scattered-light photoelasticity to doubly connected tapered torsion bars’, Experimental Mechanics19666(6), 297–305.
5.
BerghausD. G.CannonJ. P.‘Obtaining derivatives from experimental data using smoothed-spline functions’, Experimental Mechanics197313(1), 38–42.
6.
OlsonD. L.A photomechanic system for nondestructive three-dimensional stress analysis Ph.D. Thesis, Dept. of Agric. Engng, Iowa State Univ., Ames, Iowa, 1970.
7.
BooneP.VerbiestR.‘Application of hologram interferometry to plate deformation and translation measure- ments’, Optica Acta196916 (5), 555–567.
8.
BooneP.‘Visualization of airy functions by hologram inter-ferometry’, Optik197234 (4), 406–420.
9.
ChengF.KhetanR. P.‘Differentiation of moiré patterns by optical spatial filtering’, presented at the 4th Canadian Congress of Applied Mechanics, June, 1973.
10.
BossaertW.DechaeneR.VinckierA.‘Com-putation of finite strains from moiré displacement patterns’, J. Strain Analysis1958, 3 (1), 65–75.
11.
JohnsonL.‘Moiré technique for measuring strain during welding’, Experimental Mechanics197414 (3), 145–151.
12.
BalasJ.NaschL.SzaboV.‘Finite-element method using data obtained by holographic interferometry’, presented at the 5th Int. Cong. on Exp. Mech., Italy. Published in theProceedings May, 1974.
13.
ZienkiewiczO. C.The finite-element method in engineering science1971 (McGraw-Hill).
14.
BognerF. K.FoxR. L.SchmitL. A.‘The generation of inter-element compatibility stiffness and mass matrices by use of interpolation formulae’, Proc. Conf. Matrix Methods in Struct. Mech. Air Force Inst. of Tech., Wright Patterson Air Force Base, Ohio, October, 1965.
15.
CowperG. R.KoskoE.LindbergG. M.OlsonM. D.‘Formulation of a new triangular plate bending element’, Can. Aero-Space Inst. TransactionsI (2), September, 1968. Also ‘Static and dynamic applications of a high-precision triangular plate bending element’, AIAA Journal 1969 7(10), 1957–1965.
16.
ShankarP.Smoothed spline functions—Applications to experimental mechanics M.Sc. Thesis, Division of Solid Mechanics, Structures and Mechanical Design, Case Western Reserve University, June, 1971.
17.
DraperN. R.SmithH.Applied regression analysis1966 (J. Wiley and Sons, Inc.).
18.
BerghausD. G.‘Overdetermined photoelastic solutions using least squares’, Experimental Mechanics197313 (3), 97–104.
19.
RowlandsR. E.DanielI. M.WhitesideJ. B.‘Stress and failure analysis of a glass-epoxy composite plate with a circular hole’Experimental Mechanics197313 (1), 31–37.
20.
TimoshenkoS.Woinowsky-KriegerS.Theory of plates and shells1959 (McGraw-Hill Book Company).
