This paper deals with an interval and fuzzy generalized eigenvalue problem involving uncertain parameters. Based on a sufficient regularity condition for intervals, an interval filtering eigenvalue procedure for generalized eigenvalue problems with interval parameters is proposed, which iteratively eliminates the parts that do not contain an eigenvalue and thus reduces the initial eigenvalue bound to a precise bound. The same iterative procedure has been proposed for generalized fuzzy eigenvalue problems. In general, the solution of dynamic problems of structures using the finite element method (FEM) leads to a generalized eigenvalue problem. Based on the proposed procedures, various structural examples with an interval and fuzzy parameter such as triangular fuzzy number (TFN) are investigated to show the efficiency of the algorithms stated. Finally, fuzzy filtered eigenvalue bounds are depicted by fuzzy plots using the -cut.
Skip Nav Destination
Article navigation
December 2016
Technical Briefs
Filtering Algorithm for Real Eigenvalue Bounds of Interval and Fuzzy Generalized Eigenvalue Problems
Nisha Rani Mahato,
Nisha Rani Mahato
Department of Mathematics,
National Institute of Technology Rourkela
, Rourkela, Odisha 769008
, India
Search for other works by this author on:
S. Chakraverty
S. Chakraverty
Department of Mathematics,
e-mail: sne_chak@yahoo.com
National Institute of Technology Rourkela
, Rourkela, Odisha 769008
, India
e-mail: sne_chak@yahoo.com
Search for other works by this author on:
Nisha Rani Mahato
Department of Mathematics,
National Institute of Technology Rourkela
, Rourkela, Odisha 769008
, India
S. Chakraverty
Department of Mathematics,
e-mail: sne_chak@yahoo.com
National Institute of Technology Rourkela
, Rourkela, Odisha 769008
, India
e-mail: sne_chak@yahoo.com
Manuscript received July 12, 2015; final manuscript received March 9, 2016; published online August 19, 2016. Assoc. Editor: Athanasios Pantelous.
ASME J. Risk Uncertainty Part B. Dec 2016, 2(4): 044502 (8 pages)
Published Online: August 19, 2016
Article history
Received:
July 12, 2015
Revision Received:
March 9, 2016
Accepted:
March 9, 2016
Citation
Mahato, N. R., and Chakraverty, S. (August 19, 2016). "Filtering Algorithm for Real Eigenvalue Bounds of Interval and Fuzzy Generalized Eigenvalue Problems." ASME. ASME J. Risk Uncertainty Part B. December 2016; 2(4): 044502. https://doi.org/10.1115/1.4032958
Download citation file:
Get Email Alerts
Complementing Drawability Assessment of Deep-Drawn Components with Surrogate-Based Global Sensitivity Analysis
ASME J. Risk Uncertainty Part B
A Hybrid Perspective of Vision-Based Methods for Estimating Structural Displacements Based on Mask Region-Based Convolutional Neural Networks
ASME J. Risk Uncertainty Part B (June 2024)
Experimental Investigation of a Rapid Calculation and Damage Diagnosis of the Quasistatic Influence Line of a Self-Anchored Suspension Bridge Based on Deflection Theory
ASME J. Risk Uncertainty Part B (June 2024)
Diminishing Safety Margins of Telescoping-Boom Aerial Lifts
ASME J. Risk Uncertainty Part B
Related Articles
Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B (March,2016)
Uncertain Dynamic Responses of Fuzzy Arbitrary-Order Damped Beam
ASME J. Risk Uncertainty Part B (December,2015)
A Comprehensive Fuzzy Uncertainty Analysis of a Controlled Nonlinear System With Unstable Internal Dynamics
ASME J. Risk Uncertainty Part B (December,2015)
Interval Limit Analysis Within a Scaled Boundary Element Framework
ASME J. Risk Uncertainty Part B (December,2015)
Articles from Part A: Civil Engineering
System Identification via Unscented Kalman Filtering and Model Class Selection
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering (March,2024)
Sensitivity Metrics for Maximum Likelihood System Identification
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering (September,2016)
Filtering and Uncertainty Propagation Methods for Model-Based Prognosis of Fatigue Crack Growth in Unidirectional Fiber-Reinforced Composites
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering (December,2018)
Multiple-Surrogate Models for Probabilistic Performance Assessment of Wind-Excited Tall Buildings under Uncertainties
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering (December,2020)
Related Proceedings Papers
Related Chapters
The Research of Image Filtering Algorithms in Embedded Real-Time System
International Conference on Advanced Computer Theory and Engineering, 5th (ICACTE 2012)
Personalized Recommendation in Dynamic and Multidimensional Social Network
International Conference on Information Technology and Management Engineering (ITME 2011)
Based on Hybrid Recommendation Personalized of the E-Learning System Study
Proceedings of the 2010 International Conference on Mechanical, Industrial, and Manufacturing Technologies (MIMT 2010)