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Abstrakty
The non-linear stochastic dynamic behaviour of a high-rise vertical transportation system modelled as a concentrated mass and a cable with finite bending stiffness is considered. The slow time scale is defined and lateral cable displacements coupled with transverse motions are expanded in terms of approximating functions. The excitation of the high-rise building is assumed in the form of a narrow-band mean-square process equivalent to the harmonic process. The equivalent linearization technique is used to replace the original non-linear system with a linear approximation whose coefficients are determined from minimization of the mean-square equation difference between both systems.
Czasopismo
Rocznik
Tom
Strony
483--497
Opis fizyczny
Bibliogr. 21 poz., rys.
Twórcy
autor
- West Pomeranian University of Technology, Faculty of Civil Engineering and Architecture, Szczecin, Poland
autor
- University of Northampton, Faculty of Arts, Science and Technology, UK
autor
- West Pomeranian University of Technology, Faculty of Civil Engineering and Architecture, Szczecin, Poland
Bibliografia
- 1. Atalik T.S., Utku S., 1976, Stochastic linearization of multi-degree-of-freedom nonlinear systems, Earthquake Enginering Structures Dynamics, 4, 411-420.
- 2. Caughey T.H., 1963, Equivalent linearization techniques, Journal of the Acoustical Society of America, 35, 1706-1711.
- 3. Evan-Iwanowski R.M., 1976, Resonance Oscillations in Mechanical Systems, Elsevier Scientific Publishing Company.
- 4. Giaccu G.F., Barbiellini B., Caracoglia L., 2015, Stochastic unilateral free vibration of an in-plane cable network, Journal of Sound and Vibration, 340, 95-111.
- 5. Kaczmarczyk S., Iwankiewicz R., 2017a, Gaussian and non-Gaussian stochastic response of slender continua with time-varying length deployed in tall structures, International Journal of Mechanical Sciences, 134, 500-510.
- 6. Kaczmarczyk S., Iwankiewicz R., 2017b, On the nonlinear deterministic and stochastic dynamics of a cable – mass system with time-varying length, 12th International Conference on Structural Safety and Reliability, Austria, 1205-1213.
- 7. Kaczmarczyk S., Iwankiewicz R., Terumichi Y., 2009, The dynamic behaviour of a nonstationary elevator compensating rope system under harmonic and stochastic excitations, Journal of Physics: Conference Series, 181, 12-47.
- 8. Kaczmarczyk S., Mirhadizadeh S., 2016, Quasi-stationary mechanics of elastic continua with bending stiffness wrapping on a pulley system, Journal of Physics: Conference Series, 721, 012011, 1-7, 1742-6588.
- 9. Kijewski-Correa T., Pirnia D., 2007, Dynamic behavior of tall buildings under wind: in-sights from full-scale monitoring, The Structural Design of Tall Special Buildings, 16, 471-486.
- 10. Kougioumtzoglou I.A., Fragkoulis V.C., Pantelous A.A., Pirotta A., 2017, Random vibration of linear and nonlinear structural systems with singular matrices: A frequency domain approach, Journal of Sound and Vibration, 404, 84-101.
- 11. Larsen J.W., Iwankiewicz R., Nielsen S.R.K., 2007, Probabilistic stochastic stability analysis of wind turbine wings by Monte Carlo simulations, Probabilistic Engineering Mechanics, 22, 181-193.
- 12. Mitropolskii Y.A., 1965, Problems of the Asymptotic Theory of Nonstationary Vibrations, Israel Program for Scientific Translations Ltd, Jerusalem.
- 13. Proppe C., Pradlwarter H.J., Schuëller G.I., 2003, Equivalent linearization and Monte Carlo simulation in stochastic dynamics, Probabilistic Engineering Mechanics, 18, 1-15.
- 14. Roberts J.B., 1981, Response of non-linear mechanical systems to random excitations. Part II: Equivalent linearization and other methods, Shock and Vibration Digest, 13, 15-29.
- 15. Roberts J.B., Spanos P.D., 1990, Random vibration and statistical linearization, John Wiley &Sons.
- 16. Socha L., 2008, Linearization Methods for Stochastic Dynamic systems, Lecture Notes in Physics, 730, Springer.
- 17. Spanos P.D., 1981, Stochastic linearization in structural dynamics, Applied Mechanics Reviews, ASME,34, 1-8.
- 18. Spanos P.D., Evangelatos G.I., 2010, Response of nonlinear system with restoring forces governed by fractional derivatives-time domain simulation and statistical linearization solution, Soil Dynamics and Earthquake Engineering, 30, 811-821.
- 19. Terumichi Y., Ohtsuka M.,Yoshizawa M., Fukawa Y., Tsujioka Y., 1995, Nonstationary vibrations of a string with time-varying length and a mass-spring system attached at the lower end, Nonlinear Dynamics, 12, 39-55.
- 20. Thompson W.T., 1993, Theory of vibration with Applications Fourth Edition, Chapman and Hall, University and Professional Division, London.
- 21. Weber H., Iwankiewicz R., Kaczmarczyk R., 2019, Equivalent linearization technique in nonlinear stochastic dynamics of a cable-mass system with time-varying length, Archives of Mechanics, 71, 393-416.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
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Bibliografia
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