A polynomial-chaos-based Bayesian approach for estimating uncertain parameters of mechanical systems

2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007

Volumn 3 PART B, Issue , 2008, Pages 1041-1048

  Blanchard, Emmanuel ^a   Sandu, Corina ^a   Sandu, Adrian ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b State University   (United States)

Author keywords

Bayesian estimation; Collocation; Halton; Hammersley; Parameter estimation; Polynomial chaos; Vehicle dynamics

Indexed keywords

(E ,2E) THEORY; (P ,P ,T) MEASUREMENTS; BAYESIAN APPROACHES; BAYESIAN THEOREM; COLLOCATION POINTS; COMPUTATIONAL APPROACH; COMPUTATIONALLY EXPENSIVE; DESIGN THEORY AND METHODOLOGY; ESTIMATION METHODS; GALERKIN APPROACH; HIGH ACCURACY; INERTIA PROPERTIES; INTERNATIONAL CONFERENCES; INTERNATIONAL DESIGNS; MAXIMUM LIKELIHOOD ESTIMATES; MEASUREMENT NOISES; MECHANICAL SYSTEM (MS); MICRO AND NANO SYSTEMS; MONTE CARLO (MC); NEW APPROACHES; NEW PARAMETERS; NOISE LEVELS; PARAMETER IDENTIFICATIONS; POLYNOMIAL CHAOS; POLYNOMIAL CHAOS THEORY; POLYNOMIAL EXPRESSIONS; ROLL-PLANE MODEL; SAMPLING RATE (SR); STOCHASTIC COLLOCATION; TECHNICAL CONFERENCES; UNCERTAIN PARAMETERS; VEHICLE DYNAMICS;

ACOUSTIC NOISE; ARCHITECTURAL DESIGN; BAYESIAN NETWORKS; CHAOS THEORY; CHAOTIC SYSTEMS; COMPUTER NETWORKS; COMPUTERS; DYNAMICAL SYSTEMS; ENGINEERING; ESTIMATION; INFORMATION SYSTEMS; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; MEASUREMENTS; MICROFLUIDICS; MICROSENSORS; MOBILE TELECOMMUNICATION SYSTEMS; MODAL ANALYSIS; MODEL STRUCTURES; NANOSYSTEMS; NUMBER THEORY; NUMERICAL METHODS; POLYNOMIAL APPROXIMATION; POLYNOMIALS; STEEL ANALYSIS; TECHNOLOGY; VEHICLES;

PARAMETER ESTIMATION;

EID: 44849089284     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2007-34600     Document Type: Conference Paper

References (13)

1. Blanchard, E., Sandu, A., and Sandu, C. - "Parameter Estimation Method Using an Extended Kalman Filter", Proceedings of the Joint North America, Asia-Pacific ISTVS Conference and Annual Meeting of Japanese Society for Terramechanics, June 23-26, 2007, Fairbanks, Alaska.
2. Cohn, S. E. "An Introduction to Estimation Theory", J. Meteor. Soc. Japan 75 (B) (1997), 257-288.
3. Evensen, G. "Using the Extended Kalman Filter with a Multi-layer Quasi-geostrophic Ocean Model", J. Geophys. Res. 97 (C11) (1992), 17905-17924.
4. Evensen, G. "Open Boundary Conditions for the Extended Kalman Filter with a Quasi-geostrophic Mode", J. Geophys. Res. 98 (C19) (1993), 16529-16546.
5. Fisher, M. Assimilation Techniques(5): Approximate Kalman Filters and singular vectors (2002)
6. Halten, J. H., Smith, G. B. "Radical-inverse quasi-random point sequence". Communications of the ACM, 7(12):701-702, Dec. 1964.
7. Hammersley, J. M. "Monte Carlo Methods for Solving Multivariables Problems", Ann. New York Acad. Sci., 86:844-874, 1960.
8. Kalman, R. E. "A New Approach to Linear Filtering and Prediction Problems", Transaction of the ASME- Journal of Basic Engineering (1960), 35-45.
9. Sandu, A., Sandu, C., and Ahmadian, M. - Modeling Multibody Dynamic Systems With Uncertainties. Part 1: Theoretical and Computational Aspects, Multibody System Dynamics, Publisher: Springer Netherlands, ISSN: 1384-5640 (Paper) 1573-272X (Online), DOI 10.1007/s11044-006-9007-5, pp. 1-23 (23), June 29, 2006.
10. Sandu, C., Sandu, A., and Ahmadian, M. - Modeling Multibody Dynamic Systems With Uncertainties. Part II: Numerical Applications, Multibody System Dynamics, Publisher: Springer Netherlands, ISSN: 1384-5640 (Paper) 1573-272X (Online), DOI: 10.1007/s11044-006-9008-4, Vol. 15, No. 3, pp. 241 - 262 (22), April 2006.
11. Simon, D. E. "An Investigation of the Effectiveness of Skyhook Suspensions for Controlling Roll Dynamics of Sport Utility Vehicles Using Magneto-Rheological Dampers", Ph.D. Thesis, Virginia Tech, Blacksburg, VA, 24061, 2001.
12. Sohns, B., Allison, J., Fathy, H. K., Stein, J. L. "Efficient Parameterization of Large-Scale Dynamic Models Through the Use of Activity Analysis", Proceedings of the ASME IMECE 2006, IMECE2006, Nov 5-10, 2006, Chicago, Illinois.
13. Zhang, D., Lu., Z. "An efficient, high-order perturbation approach for flow in random porous media via Karhunen-Loeve and polynomial expansions", J Comp. Phys. 54:265-291 (2006)