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Deterministic mechanics has been extensively used by engineers as they needed models that could predict the behavior of designed structures and components. However, modern engineering is now shifting to a new approach where the uncertainty analysis of the model inputs enables to obtain more accurate results. This paper presents an application of this new approach in the field of the stress analysis. In this case, a two-dimensional stress elasticity model is compared with the experimental stress results of five different size tubes measured with resistive strain gages. Theoretical and experimental uncertainties have been calculated by means of the Monte Carlo method and a weighted least square algorithm, respectively. The paper proposes that the analytical engineering models have to integrate an uncertainty component considering the uncertainties of the input data and phenomena observed during the test, that are difficult to adapt in the analytical model. The prediction will be thus improved, the theoretical result being much closer to the real case.
Czasopismo
Rocznik
Tom
Strony
429--442
Opis fizyczny
Bibliogr. 30 poz., rys., tab., wykr., wzory
Twórcy
autor
- Universidad Carlos III de Madrid, Mechanical Engineering Department, Leganés, Avda. de la Universidad, 3028911, Leganés, Madrid, Spain
autor
- Universidad Carlos III de Madrid, Mechanical Engineering Department, Leganés, Avda. de la Universidad, 3028911, Leganés, Madrid, Spain
autor
- Universidad Carlos III de Madrid, Mechanical Engineering Department, Leganés, Avda. de la Universidad, 3028911, Leganés, Madrid, Spain
autor
- Universidad Carlos III de Madrid, Mechanical Engineering Department, Leganés, Avda. de la Universidad, 3028911, Leganés, Madrid, Spain
Bibliografia
- [1] Elishakoff, I. (2013). Recent developments in applied mechanics with uncertainties. 4th Inverse problems, design and optimization symposium.
- [2] Liu, Y., Chen, W., Arendt, P., Huang, H. (2011). Toward a better understanding of model validation metrics. J. Mech. Des., 133(7), 071005-1-13.
- [3] Sebastian, C., Hack, E., Patterson, E.A. (2012). An approach to the validation of computational solid mechanics models for strain analysis. J. Strain Anal. Eng., 48(1), 36-47.
- [4] Hills, R.G., Trucano, T.G. (1999). Statistical validation of engineering and scientific models: Background. Sandia National Laboratories, Report No. SAND99-1256.
- [5] Schwer, L.E. (2007). An Overview of the PTC 60/V&V 10: Guide for verification and validation in computational solid mechanics. Eng. Comput., 23(4), 245-252.
- [6] Thacker, B.H., Doebling, S.W., Hemez, F.M., Anderson, M.C., Pepin, J.E., Rodriguez, E.A. (2004). Concepts of model verification and validation. Los Alamos National Laboratory, LA-14167-MS.
- [7] BIPM, IEC, IFCC, ILAC, ISO, IUPAC, IUPAP, OIML (2008). JCGM 101: Evaluation of measurement data - Supplement 1 to the Guide to the expression of uncertainty in measurement - Propagation of distributions using a Monte Carlo method.
- [8] BIPM, IEC, IFCC, ILAC, ISO, IUPAC, IUPAP, OIML (2008). JCGM 100: Evaluation of measurement data - Guide to the expression of the uncertainty in measurement.
- [9] Chianese, R.B., Erdlac, R.J. (1988). The general solution to the distribution of stresses in a circular ring compressed by two forces acting along a diameter. Q. J. Mechanics Appl. Math., 41(2), 239-247.
- [10] Williamson, J.H. (1968). Least-squares fitting of a straight line. Can. J. Phys., 46, 1845-1847.
- [11] Timoshenko, S.P. (1922). On the distribution of stresses in a circular ring compressed by two forces acting along a diameter. Philos. Mag., 44, 1014-1019.
- [12] Timoshenko, S.P. (1951). Theory of Elasticity. United States: McGraw-Hill.
- [13] Timoshenko, S.P. (1910). Stresses in a circular ring compressed by two opposing forces. Proc. Kiev Polytech. Inst., 9, 21-37.
- [14] Nelson, C.W. (1939). Stresses and Displacements in a Hollow Circular Cylinder. Ph.D. Thesis. University of Michigan.
- [15] Ripperger, E.A., Davids, N. (1947). Critical stresses in a circular ring. Proc. ASCE, 112(1), 619-628.
- [16] Batista, M., Usenik, J. (1996). Stresses in a circular ring under two forces acting along a diameter. J. Strain Anal. Eng., 31(1), 75-78.
- [17] Vishay Micro-Measurements (2010). The three-wire quarter-bridge circuit. Application note TT-612, 221-223.
- [18] Vishay Micro-Measurements (2010). Errors due to Wheatstone bridge nonlinearity. Technical note TN-507-1, 77-81.
- [19] Vishay Micro-Measurements (2010). Strain gage thermal output and gage factor variation with temperature. Technical note TN-504-1, 35-47.
- [20] Vishay Micro-Measurements (2010). Errors due to transverse sensitivity in strain gages. Technical note TN-509, 91-99.
- [21] Vishay Micro-Measurements (2008). Strain gage rosettes: Selection, application and data reduction. Technical note TN-515, 151-161.
- [22] Vishay Micro-Measurements. (2010). Errors due to misalignment of strain gages. Technical note TN-511, 107-111.
- [23] Cantrell, C.A. (2008). Technical Note: Review of methods for linear least-squares fitting of data and application to atmospheric chemistry problems. Atmos. Chem. Phys., 8, 5477-5487.
- [24] Montero, W., Farag, R., Díaz, V., Ramirez, M., Boada, B. (2011). Uncertainties associated with strain-measuring systems using resistance strain gauges. J. Strain Anal. Eng., 46(1), 1-13.
- [25] EA Laboratory Committee (2013). EA-4/02 M: 2013 Evaluation of the uncertainty of measurement in calibration.
- [26] Brown, L.C., Berthouex, P.M. (2002). Statistics for Environmental Engineers. United State: Lewis Publishers.
- [27] ASTM International (2008). ASTM E8M-04 Standard test methods for tension testing of metallic materials [Metric], West Conshohocken, PA.
- [28] ASTM International (2004). ASTM E111-04 Standard test method for Young’s modulus, tangent modulus, and chord modulus, West Conshohocken, PA.
- [29] ASTM International (2010). ASTM E132-04 Standard test method for Poisson’s ratio at room temperature, West Conshohocken, PA.
- [30] Elishakoff, I., Ohsaki, M. (2010). Optimization and Anti–Optimization of Structures Under Uncertainty. London: Imperial College Press.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d181808b-51aa-4abc-9798-8bdfcee6472d