Various Response Functions in Lattice Domes Reliability Via Analytical Integration and Finite Element Method
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Chair of Structural Reliability, Faculty of Civil Engineering Architecture and Environmental Engineering, Łódź University of Technology, Al. Politechniki 6, 90-924, Łódź, Poland
Online publication date: 2018-06-04
Publication date: 2018-05-01
International Journal of Applied Mechanics and Engineering 2018;23(2):445-469
The main aim of this work is to verify an influence of the response function type in direct symbolic derivation of the probabilistic moments and coefficients of the structural state variables of axisymmetric spherical steel dome structures. The second purpose is to compare four various types of domes (ribbed, Schwedler, geodesic as well as diamatic) in the context of time-independent reliability assessment in the presence of an uncertainty in the structural steel Young modulus. We have considered various analytical response functions to approximate fundamental eigenfrequencies, critical load multiplier, global extreme vertical and horizontal displacements as well as local deformations. Particular values of the reliability indices calculated here can be of further assistance in the reliability assessment by comparing the minimal one with its counterpart given in the Eurocode depending upon the durability class, reference period and the given limit state type.
Lan T. (1999): Space Frame Structures. In Chen W.-F. & Lui E. (Eds.), Handbook of Structural Engineering (2nd ed.) – CRC Press, Boca Raton.
Szaniec W. and Biernacka K. (2013): Modal Analysis of Selected Bar Domes. – Structure and Environment, Kielce – vol.5, No.4, pp.15-20.
The European Union Regulation (2002a): Eurocode: Basis of structural design.
Pokusiński B. and Kamiński M. (2018): On influence of the response functions on the diagrid and orthogonal grillages reliability by the stochastic iterative perturbation-based finite element method – Proceedings of the 22nd International Conference on Computer Methods in Mechanics, Lublin – vol.1922, No.150011, pp.1-10.
Kamiński M. and Szafran J. (2009): Random eigenvibrations of elastic structures by the response function method and the generalized stochastic perturbation technique – Archives of Civil & Mechanical Engineering, Wrocław – vol.9, No.4, pp.5–32.
Solecka M., Kamiński M. and Szafran J. (2011): Comparison of the aluminium versus steel telecommunication towers in Stochastic Finite Element Method eigenvibrations analysis – Int. J. Mechanics and Mechanical Engineering, Łódź – vol.15, No.1, pp.95–110.
Kamiński M. (2013): The stochastic perturbation method for computational mechanics – Wiley, Chichester.
Kottegoda K. and Rosso R. (2008): Applied statistics for civil and environmental engineers – Blackwell, Chichester.
Murzewski J. (1989): Reliability of engineering structures [in Polish] – Warsaw: Arkady.
Kamiński M. and Szafran J. (2015): Least Squares Stochastic Finite Element Method in structural stability analysis of steel skeletal structures – International Journal of. Applied Mechanics and Engineering, Zielona Góra – vol.20, No.2, pp.299–318.
Kamiński M. and Świta P. (2009): Numerical simulation of the Euler problem for the elastic beams with random parameters – Proc. IASS Local Polish Seminar, Warsaw – pp.74-82.
Kamiński M. and Świta P. (2011): Reliability modeling in some elastic stability problems via the Generalized Stochastic Finite Element Method – Archives of Civil Engineering, Warsaw – vol.57, No.3, pp.275-295.
Beckermann B. and Labahn G. (2000a): Fraction-free computation of matrix rational interpolants and matrix GCDs. – SIAM Journal on Matrix Analysis and Applications, Philadelphia – vol.22, No.1, pp.114-144.
Beckermann B. and Labahn G. (2000b): Numeric and symbolic computation of problems defined by structured linear systems – Reliable Computing – vol.6, No.4, pp.365-390.
Bronsztejn I., Siemiendiajew K., Musiol G. and Muhlig H. (2009): Modern compendium of mathematics [in Polish] – Warsaw: Wydawnictwo Naukowe PWN.
The European Union Regulation (2003): Eurocode 1: Actions on structures – Part 1-3: General actions - Snow loads.
The European Union Regulation (2005): Eurocode 1: Actions on structures – Part 1-4: General actions - Wind actions.
The European Union Regulation (2002b): Eurocode 1: Actions on structures – Part 1-1: General actions - densities, self-weight, imposed loads for buildings.
The European Union Regulation (2006): Eurocode 3: Design of steel structures – Part 1-1: General rules and rules for buildings.
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