Application of the Theory of Convex Sets for Engineering Structures with Uncertain Parameters

[1]  KASIM A KORKMAZ,et al.  Uncertainty modelling of critical column buckling for reinforced concrete buildings , 2011 .

[2]  Qinghe Shi,et al.  An iterative dimension-by-dimension method for structural interval response prediction with multidimensional uncertain variables , 2019, Aerospace Science and Technology.

[3]  Algebraic Formulation for Moderately Thick Elastic Frames, Beams, Trusses, and Grillages within Timoshenko Theory , 2019, Mathematical Problems in Engineering.

[4]  U. Radoń,et al.  Reliability analysis of Misses truss , 2011 .

[6]  J. Wasowski,et al.  Characterization of AE solution sets of parametric linear systems based on the techniques of convex sets , 2017 .

[7]  Sepehr Alizadehsalehi,et al.  From BIM to extended reality in AEC industry , 2020 .

[8]  Zhenzhou Lu,et al.  A non-probabilistic robust reliability method for analysis and design optimization of structures with uncertain-but-bounded parameters , 2015 .

[9]  Xu Guo,et al.  Exact response bound analysis of truss structures via linear mixed 0‐1 programming and sensitivity bounding technique , 2018, International Journal for Numerical Methods in Engineering.

[10]  Sergey P. Shary,et al.  On optimal solution of interval linear equations , 1995 .

[11]  G. Stefanou The stochastic finite element method: Past, present and future , 2009 .

[12]  Lei Wang,et al.  An inverse method for distributed dynamic load identification of structures with interval uncertainties , 2019, Adv. Eng. Softw..

[13]  Ehsan Harirchian,et al.  Improved Rapid Visual Earthquake Hazard Safety Evaluation of Existing Buildings Using a Type-2 Fuzzy Logic Model , 2020 .

[14]  Yunlong Li,et al.  A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis , 2018, Applied Mathematical Modelling.

[15]  Hao Zhang,et al.  Interval Finite Elements as a Basis for Generalized Models of Uncertainty in Engineering Mechanics , 2007, Reliab. Comput..

[16]  F. Thouverez,et al.  ANALYSIS OF MECHANICAL SYSTEMS USING INTERVAL COMPUTATIONS APPLIED TO FINITE ELEMENT METHODS , 2001 .

[17]  J. Pełczyński On Mathematical Descriptions of Uncertain Parameters in Engineering Structures , 2018, Archives of Civil Engineering.

[18]  David Moens,et al.  A survey of non-probabilistic uncertainty treatment in finite element analysis , 2005 .

[19]  Arnold Neumaier,et al.  Linear Systems with Large Uncertainties, with Applications to Truss Structures , 2007, Reliab. Comput..