Dynamic Shakedown Sensitivity Analysis by Means of a Probabilistic Approach
The shakedown limit load multiplier problem for elastic plastic structures subjected to a combination of fixed and seismic loads is treated. In particular, reference is firstly made to the unrestricted dynamic shakedown theory. The relevant seismic load history is modeled as a repeated one and, with reference to classically damped structures, appropriate modal analyses are utilized. With the aim of evaluating the reliability of the results arising from the application of the cited theory, a recent probabilistic approach is also utilized. This approach adopts the Monte Carlo method in order to define the necessary seismic acceleration histories and finally compute the related shakedown limit load multiplier distribution. The probabilistic approach relies on a generalized Ceradini theorem which allows to define the limit load multiplier cumulative distribution function and, therefore, to characterize the shakedown sensitivity of the structure. The comparison between the two described approaches is effected and an improved computational procedure is proposed. The effected applications are related to plane steel frames.
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D.A. Gokhfeld, D. F. Cherniavsky, Limit Analysis of Structures at Thermal Cycling. Sijthoff & Noordhoff, The Netherlands 1980.
J.A. König, G. Maier, Shakedown analysis of elastoplastic structures: A review of recent developments, Nuclear Engineering and Design, Vol. 66 (Issue 1):81-95, August 1981.
C. Polizzotto, A unified treatment of shakedown theory and related bounding techniques, Solid Mechanics Archives, Vol. 7 (Issue 1):19–75, March 1982.
J. König, Shakedown of elastic-plastic structures, Fundamental studies in engineering. Elsevier, New York, 1987.
F. Giambanco, L. Palizzolo and A. Caffarelli, Bounds on plastic strains for elastic plastic structures in plastic shakedown conditions, Structural Engineering and Mechanics, Vol. 25 (Issue 1):107-126, January 2007.
G. Blaževičius, L. Rimkus, D. Merkevičūtė, J. Atkočiūnas, Shakedown analysis of circular plates using a yield criterion of the mean, Structural and Multidisciplinary Optimization, Vol. 55 (Issue 1):25-36, January 2017.
L. Palizzolo, Optimization of continuous elastic perfectly plastic beams, Computers and Structures, Vol. 82 (Issue 4-5):397-411, February 2004.
L. Palizzolo, Optimal design of trusses according to a plastic shakedown criterion, Journal of Applied Mechanics, Transactions of ASME, Vol. 71 (Issue 2):240-246, March 2004.
F. Giambanco, L. Palizzolo and A. Caffarelli, Computational procedures for plastic shakedown design of structures, Structural and Multidisciplinary Optimization, Vol. 28 (Issue 5) 317-329, November 2004.
F. Giambanco, L. Palizzolo and A. Caffarelli, Optimum design of structures with limited ductility, WIT Transactions on the Built Environment, Vol. 80:235-244, May 2005.
S. Kaliszky, J. Lógó, Optimal design of elasto-plastic structures subjected to normal and extreme loads, Computers and Structures, Vol. 84 (Issue 28):1770-1779, November 2006.
J. Atkočiunas, D. Merkevičiute, A. Venskus, Optimal shakedown design of bar systems: Strength, stiffness and stability constraints Computers and Structures, Vol. 86 (Issue 17-18):1757-1768, September 2008.
S. Benfratello, L. Palizzolo and P. Tabbuso, Optimal design of elastic plastic frames accounting for seismic protection devices, Structural and Multidisciplinary Optimization, Vol 49 (Issue 1):93-106, July 2013.
S. Benfratello, F. Giambanco, L. Palizzolo and P. Tabbuso, Optimal design of steel frames accounting for buckling, Meccanica, Vol. 48 (Issue 9):2281-2298, November 2013.
G. Borino, C. Polizzotto, Dynamic shakedown of structures under repeated seismic loads, Journal of Engineering Mechanics, Vol. 121 (Issue 12):1306-1314, December 1995.
G. Borino, C. Polizzotto, Dynamic shakedown of structures with variable appended masses and subjected to repeated excitations, International Journal of Plasticity, Vol. 12 (Issue 2):215-228, 1996.
S. Benfratello, L. Palizzolo and P. Tabbuso, Dynamic shakedown design of structures under repeated seismic loads, in: Zingoni A, (Editor), Research and Applications in Structural Engineering, Mechanics and Computation - Proceedings of the 5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013, CRC press, pp. 241-246, Cape Town, South Africa, September 2013.
S. Benfratello, L. Palizzolo and P. Tabbuso, Seismic shakedown design of frames based on a probabilistic approach, WIT Transactions on the Built Environment, Vol. 137:359-370, June 2014.
G. Augusti, A. Baratta, F. Casciati, Probabilistic methods in structural engineering, CRC Press, Boca Raton, 1984.
K. Marti, Limit load and shakedown analysis of plastic structures under stochastic uncertainty, Computer Methods in Applied Mechanics and Engineering, Vol. 198 (Issue 1):42-51, November 2008.
T. N. Trần, R.Kreißig, M. Staat, Probabilistic limit and shakedown analysis of thin plates and shells, Structural Safety, Vol.31 (Issue 1):1-18, January 2009.
P. Tabbuso, S.M.J. Spence, L. Palizzolo, A. Pirrotta and A. Kareem, An efficient framework for the elasto-plastic reliability assessment of uncertain wind excited systems, Structural Safety, Vol. 58:69-78, January 2016.
S.M.J. Spence, W.C. Chuang, P. Tabbuso, E. Bernardini, A. Kareem, L. Palizzolo and A. Pirrotta, Performance-Based Engineering of Wind Excited Structures: A General Methodology, in Geotechnical and Structural Engineering Congress 2016 - Proceedings of the Joint Geotechnical and Structural Engineering Congress 2016, pp. 1269-1282, Phoenix, U.S., February 2016.
S. Benfratello, L. Palizzolo and P. Tabbuso, Probabilistic evaluation of the adaptation time for structures under seismic loads, Procedia Engineering, Vol. 161:434-438, June 2016.
L. Palizzolo, S. Benfratello and P. Tabbuso, Comparison between unrestricted dynamic shakedown design and a new probabilistic approach for structures under seismic loadings, in Engineering Optimization IV - Proceedings of the 4th International Conference on Engineering Optimization, ENGOPT 2014, pp. 225-230, Lisbon, Portugal, September 2014.
S. Benfratello, L. Palizzolo and P. Tabbuso, Optimization of structures with unrestricted dynamic shakedown constraints, Structural and Multidisciplinary Optimization, Vol. 52 (Issue 3):431-445, April 2015.
S. Benfratello, M. Di Paola, L. Palizzolo and P. Tabbuso, Evaluation of the shakedown limit load multiplier for stochastic seismic actions, Meccanica, in press.
R. Clough, J. Penzien, Dynamics of structures, 2ndedn. McGraw-Hill Education, London, 1993.
K. Kanai, Semi-empirical formula for the seismic characteristics of the ground. Bulletin of the Earthquake Research Institute, University of Tokyo Vol. 35(Issue 2):309–325, 1957.
H. Tajimi, A statistical method to determining the maximum response of a building structure during an earthquake. In: Proceedings of the second World Conference on Earthquake Engineering, Tokio, 11-18 July 1960, pp. 781-798.
P. Pinto, R. Giannini, P. Franchin, Seismic reliability analysis of structures. IUSS Press, Pavia, 2004.
W. D. Iwan, Z. K. Hou, Explicit solutions for the response of simple systems subjected to nonstationary random excitation, Structural Safety, Vol. 6 (Issue 2-4):77-86, November 1989.
M. B. Priestley, Evolutionary Spectra and Non-Stationary Processes, Journal of the Royal Statistical Society. Series B (Methodological), Vol. 27 (Issue 2):204-237, 1965.
M. Shinozuka, G. Deodatis, Simulation of stochastic processes by spectral representation, Applied Mechanics Reviews, Vol. 44 (Issue 4):191-204, 1991.
R. Livesley, Matrix methods of structural analysis, 2nd edn. Pergamon, Oxford, 1975.
S. Benfratello, F. Giambanco and L. Palizzolo, Shakedown design of structures under dynamic loading, in Advances and Trends in Structural Engineering Mechanics and Computation - Proceedings of the 4th International Conference on Structural Engineering. Mechanics and Computation, SEMC 2010, pp. 1089-1092, Cape Town, South Africa, September 2010.
F. Giambanco, S. Benfratello, L. Palizzolo and P. Tabbuso, Structural design of frames able to prevent element buckling, in B.H.V. Topping, (Editor), Proceedings of the Eleventh International Conference on Computational Structures Technology, Civil-Comp Press, Stirlingshire, U.K., Paper 18, September 2012.
G. Maier, A quadratic programming approach for certain classes of non linear structural problems, Meccanica, Vol. 3 (Issue 2):121–130, August 1967.
Z. W. Geem, J. H. Kim, G. V. Loganathan, A New Heuristic Optimization Algorithm: Harmony Search, Simulation, Vol. 76 (Issue 2): 60-68, February 2001.
L. Palizzolo, A. Caffarelli and P. Tabbuso, Minimum volume design of structures with constraints on ductility and stability, Engineering Structures, Vol. 68 (Issue 1):47-56, June 2014.
L. Palizzolo, S. Benfratello and P. Tabbuso, Discrete variable design of frames subjected to seismic actions accounting for element slenderness. Computers and Structures, Vol. 147:147-158, January 2015.
H. Buchholdt, Structural dynamics for engineers. Thomas Telford, London, 1997.
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