INTERVAL AND SUBINTERVAL ANALYSIS METHODS OF THE STRUCTURAL ANALYSIS AND THEIR ERROR ESTIMATIONS

By Y. T. Zhou, Chao Jiang. 2006

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Interval arithmetic operations for uncertainty analysis with correlated interval variables (2016, methodology): “Interval and subinterval analysis methods, which were combined with the first-order Taylor expansion and FEM, was systematically introduced to calculate the boundary response of structural displacement [21].”
A new improved regularization method for dynamic load identification (2014, background): “In many practical engineering problems today, such as structural strength analysis, health monitoring and fault diagnosis and vibration isolation,[1,2] the knowledge of dynamic loads acting on a structure is always required.”
A novel shape function approach of dynamic load identification for the structures with interval uncertainty (2016, methodology): “Among lots of uncertainty modeling methods, interval analysis (Elishakoff et al. 1994; Pantelides and Ganzerli 2001; Qiu and Wang 2003; Zhou et al. 2006) is an efficient one through which only the bounds of uncertain parameters instead of the precise probability distributions need to be required.”