The Generalized Density Evolution Equation for the Dynamic Analysis of Slender Masonry Structures

Article Preview

Abstract:

Within the framework of structural dynamics, the article deals with the problem ofdetermining at a given moment the probability density function of certain quantities of interest,based on the uncertainties about the initial data, the structure characteristics and the applied loads.The proposed method uses the so-called principle of preservation of probability, and leads towriting a linear partial differential equation for any quantity whose probability density function hasto be determined.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

350-355

Citation:

Online since:

August 2019

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2019 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] T.T. Soong, Random differential equations in science and engineering, Academic Press, (1973).

Google Scholar

[2] J. Li, J. Chen, Probability density evolution method for dynamic response analysis of structures, with uncertain parameters, Computational Mechanics, 34, (2004), 400-409.

DOI: 10.1007/s00466-004-0583-8

Google Scholar

[3] J. Li, J. Chen, The principle of preservation of probability and the generalized density evolution equation, Structural Safety, 30, (2008), 65-77.

DOI: 10.1016/j.strusafe.2006.08.001

Google Scholar

[4] J. Li, J. Chen, Stochastic Dynamics of structures, John Wiley & Sons, (2009).

Google Scholar

[5] M. Lucchesi, B. Pintucchi, N. Zani Modelling masonry structures through the MADY code 2nd International Conference. on recent avances in nonlinear models – design and rehabilitation of structures. CORAS 2017, 1-10 (2017).

Google Scholar

[6] M. Lucchesi, B. Pintucchi, N. Zani, Masonry-like materials with bounded shear stresses European J. Mech-A Solids 72, (2018), 329-340.

DOI: 10.1016/j.euromechsol.2018.05.001

Google Scholar

[7] M. Lucchesi, B. Pintucchi, N. Zani, Bounded shear stress in masonry-like bodies Meccanica 53, (2018),1777-1791.

DOI: 10.1007/s11012-017-0719-9

Google Scholar

[8] L. Hormander, The analysis of linear partial differential operators I, Springer-Verlag (1990).

Google Scholar

[9] Lucchesi, M., Pintucchi, B., A numerical model for non-linear dynamics analysis of masonry slender structures, European Journal of Mechanics A/Solids, 26, (2007), 88-105.

DOI: 10.1016/j.euromechsol.2006.02.005

Google Scholar

[10] M. Lucchesi, B. Pintucchi, M. Šilhavý, N. Zani, On the dynamics of viscous masonry beams. Continuum Mechanics and Thermodynamic, 27, (2015), 349-365.

DOI: 10.1007/s00161-014-0352-y

Google Scholar

[11] B. Pintucchi, N. Zani, A simple model for performing nonlinear static and dynamic analyses of unreinforced and FRP-strengthened masonry arches. European Journal of Mechanics /A Solids, 59, (2016) 210-231.

DOI: 10.1016/j.euromechsol.2016.03.013

Google Scholar

[12] M. Lucchesi, B. Pintucchi, N. Zani, Dynamic analysis of FRP-reinforced masonry arches via a no-tension model with damage, Key Engineering Materials, (2015).

DOI: 10.4028/www.scientific.net/kem.624.619

Google Scholar

[13] L. Salvatori, A.M. Marra, G. Bartoli, P. Spinelli, Probabilistic seismic performance of masonry towers: General procedure and a simplified implementation, Engineering Structures 94, 82–95, (2015).

DOI: 10.1016/j.engstruct.2015.02.017

Google Scholar