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Spectral density of the bridge beam response with uncertain parameters under a random train of moving forces

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PL
Gęstość widmowa drgań belki mostowej o niepewnych parametrach poddanej działaniu losowej serii sił ruchomych
Języki publikacji
EN
Abstrakty
EN
The paper presents the spectral analysis of the beam’s vibration with uncertain parameters under a random train of moving forces which forms a filtered Poisson process. It is assumed that natural frequencies of the bridge beam are uncertain and are modelled by fuzzy numbers, random variables or fuzzy random variables. In order to obtain general solutions for the spectral density function of the beam’s response the normal mode dynamic influence function has been introduced. As an example the spectral density functions of a bridge modelled as a simple supported beam are determined.
PL
W pracy zaprezentowano analizę widmową drgań belki o niepewnych parametrach, poddanej działaniu losowej serii ruchomych sił. Siły te tworzą proces Poissona. W analizie przyjęto, że niepewność wielkości częstości własnych można uwzględnić, uznając je za liczby rozmyte, zmienne losowe lub rozmyte zmienne losowe. Wprowadzono dynamiczną funkcję wpływu o charakterze losowo-rozmytym, dzięki której można otrzymać wygodne dla dalszych rozważań i obliczeń numerycznych związki, które określają funkcję gęstości widmowej drgań belki.
Rocznik
Strony
31--47
Opis fizyczny
Bibliogr. 35 poz., wykr.
Twórcy
autor
autor
  • Wroclaw University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
Bibliografia
  • [1] Fryba L.: Vibration of solids and structures under moving loads, Academia, Prague, 1972.
  • [2] Tung C.C.: Random response of highway bridges to vehicle loads, Proceedings of the American Society of Civil Engineers, Journal of the Engineering Mechanics Division 93, 1967, pp. 73–94.
  • [3] Tung C.C.: Response of highway bridges to renewal traffic loads, Proceedings of the American Society of Civil Engineers, Journal of the Engineering Mechanics Division 95, 1969, pp. 41–57.
  • [4] Tung C.C.: Life expectancy of highway bridges to vehicle loads, Proceedings of the American Society of Civil Engineers, Journal of the Engineering Mechanics Division 95, 1969, pp. 1417–1428.
  • [5] Iwankiewicz R., Śniady P.: Vibration of a beam under a random stream of moving forces, Journal of Structural Mechanics, Vol. 12, 1984, pp. 13–26.
  • [6] Śniady P.: Vibration of a beam due to a random stream of moving forces with random velocity, Journal of Sound and Vibration, Vol. 97, 1984, pp. 23–33.
  • [7] Sieniawska R., Śniady P.: First passage problem of the beam under a random stream of moving forces, Journal of Sound and Vibration, Vol. 136, 1990, pp. 177–185.
  • [8] Sieniawska R., Śniady P.: Life expectancy of highway bridges due to traffic load, Journal of Sound and Vibration, Vol. 140, 1990, pp. 31–38.
  • [9] Śniady P., Biernat S., Sieniawska R., Żukowski S.: Vibrations of the beam due to a load moving with stochastic velocity, Probabilistic Engineering Mechanics 16, 2001, pp. 53–59.
  • [10] Zibdeh H.S., Rackwitz R.: Response moments of an elastic beam subjected to Poissonian moving loads, Journal of Sound and Vibration, Vol. 188, 1995, pp. 479–495.
  • [11] Zibdeh H.S., Rackwitz R., Moving loads on beams with general boundary conditions, Journal of Sound and Vibration, Vol. 195, 1996, pp. 85–102.
  • [12] Bryja D., Śniady P.: Random vibration of a suspension bridge due to highway traffic, Journal of Sound and Vibration, Vol. 125, 1988, pp. 379–387.
  • [13] Bryja D., Śniady P.: Spatially coupled vibrations of a suspension bridge under random highway traffic, Earthquake Engineering and Structural Dynamics, Vol. 20, 1991, pp. 999–1010.
  • [14] Bryja D., Śniady P.: Stochastic non-linear vibrations of highway suspension bridge dunder inertial sprung moving load, Journal of Sound and Vibration, Vol. 216, 1998, pp. 507–519.
  • [15] Lin Y.K., Cai G.Q.: Probabilistic structural dynamics, Advanced theory and applications, McGraw-Hill, New York, 1995.
  • [16] Roberts J.B.: The response of linear vibratory systems to random impulses, Journal of Sound and Vibration, Vol. 2, 1965, pp. 375–390.
  • [17] Roberts J.B.: System response to random impulses, Journal of Sound and Vibration, Vol. 24, 1972, pp. 23–34.
  • [18] Śniady P.: Dynamic response of linear structures to a random stream of pulses, Journal of Sound and Vibration, Vol. 131, 1989, pp. 91–102.
  • [19] Mazur-Śniady K., Śniady P.: Dynamic response of linear structures to a random stream of arbitrary impulses in time and space, Journal of Sound and Vibration, Vol. 110, 1986, pp. 59–68.
  • [20] Gładysz M., Śniady P.: Random vibrations of a discrete system under a series of loads constituting a Poisson process (in Polish), Archives of Civil Engineering XXX, Vol. 1, 1984, pp. 37–51.
  • [21] Paola M.D., Ricciardi G.: Vibration of a bridge under a random train of moving loads, Proceeding of the 6th Special Conference of Probabilistic Mechanics and Structural and Geotechnical Reliability, 1992, pp. 136–139.
  • [22] Riccardi G.: Random vibration of beam under moving loads, Journal of Engineering Mechanics, Vol. 120, 1994, pp. 2361–2380.
  • [23] Rystwej A., Śniady P.: Dynamic response of an infinite beam and plate to a stochastic train of moving forces, Journal of Sound and Vibration, Vol. 299, 2007, pp. 1033–1048.
  • [24] Zadeh L.A.: Fuzzy sets, Information Control, Vol. 8, 1965, pp. 338–353.
  • [25] Kwarkernaak H.: Fuzzy random variables (I), Information Sciences, Vol. 15, 1978, pp. 1–29.
  • [26] Puri M.I., Ralescu D.A.: Fuzzy random variables, Journal of Mathematical Analysis and Application, Vol. 114, 1986, pp. 409–422.
  • [27] Körner R.: On the variance of fuzzy random variables, Fuzzy Sets and Systems, Vol. 92, 1997, pp. 83–93.
  • [28] Feng Y., Hu L., Shu H.: The variance and covariance of fuzzy random variables and their applications, Fuzzy Sets and Systems, Vol. 120, 2001, pp. 487–497.
  • [29] Hu L., Wu R., Shao S.: Analysis of dynamical systems whose inputs are fuzzy stochastic processes, Fuzzy Sets and Systems, Vol. 129, 2002, pp. 111–118.
  • [30] Feng Y.: The solutions of linear fuzzy stochastic differential systems, Fuzzy Sets and Systems, Vol. 140, 2003, pp. 541–554.
  • [31] Möller B., Beer M.: Fuzzy Randomness, Uncertainty in Civil Engineering and Computational Mechanics, Springer, 2004.
  • [32] Gładysz M., Śniady P.: Spectral response of linear system under Poisson driven pulses, Archives of Civil and Mechanical Engineering, Vol. V, No. 3, 2005, pp. 15–30.
  • [33] Gładysz M., Śniady P.: The spectral analysis of a beam under a random train of moving forces, Studia Geotechnica et Mechanica, Vol. XXIX, No. 3–4, 2007, pp. 45–56.
  • [34] Śniady P., Adamowski R., Kogut G., Zielichowski-Haber W.: Spectral stochastic analysis of structures with uncertain parameters, Probabilistic Engineering Mechanics, Vol. 23, 2008, pp. 76–83.
  • [35] Soong T.T., Grigoriu M.: Random vibration of mechanical and structural systems, PTR Prentice Hall Englewood Cliffs, 1993.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0006-0003
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