The spectral analysis of a beam under a random train of moving forces

Gładszy, M.; Śniady, P.

Artykuł - szczegóły

Tytuł artykułu

The spectral analysis of a beam under a random train of moving forces

Autorzy

Gładszy M. , Śniady P.

Wybrane pełne teksty z tego czasopisma

Identyfikatory

Warianty tytułu

Analiza spektralna belki obciążonej losową serią ruchomych sił

Języki publikacji

Abstrakty

In this paper, the dynamic response of a beam to a random train of moving forces is considered. An analytical technique is developed to determine the spectral density function of the beam's response. The random train of moving forces forms a filtered Poisson process. In order to obtain simpJe algebraic relations for the spectral denisity function of the beam's response, the dynamic influence function has been introduced. As an example the spectral density functions of a bridge modelled as a simply supported beam are determined.

Praca omawia zagadnienie drgań belki obciążonej losową serią ruchomych sił, tworzących proces Poissona. W rozważaniach wykorzystano analizę widmową odpowiedzi układu. Aby uzyskać proste algebraiczne związki, określające funkcję gęstości widmowej drgań belki, wprowadzono dynamiczną funkcję wpływu. W przykładzie numerycznym przedstawiono funkcje gęstości widmowej konstrukcji mostowej, której modelem jest belka swobodnie podparta.

Słowa kluczowe

moving forces Poisson prosess

siły ruchome proces Poissona

Wydawca

De Gruyter

Czasopismo

Studia Geotechnica et Mechanica

Rocznik

2007

Tom

Vol. 29, nr 3-4

Strony

45--56

Opis fizyczny

bibliogr. 23 poz.

Twórcy

autor

Gładszy M.

autor

Śniady P.

Institute of Civil Engineering, Wrocław Univeristy of Technology 50-370 Wrocław, Wybrzeże Wyspiańskiego 27, 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 loades, Proceesongs, of the American society of Civil Engineers, Journal of the Engineering Mechanics Division, 1967, 93 73-94
[3] TUNG C.C., Response of highway bridges to renewal traffic loads. Proceesongs, of the American society of Civil Engineers, Journal of the Engineering Mechanics Division, 1967, 95 41-57
[4] TUNG C.C., Life expectancy of highway bridges to vehicle loads. Proceesongs, of the American society of Civil Engineers, Journal of the Engineering Mechanics Division, 1967, 95 1417-1428
[5] IWANKIEWICZ R., ŚNIADY P., Vibration of a beam under a random stream of moving forces, Journal of Structural Mechanics, 1984, 12, 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, 1984, 97, 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, 1990, 136, 177-185.
[8] SIENIAWSKA R., ŚNIADY P., Life expectancy of highway bridges due to traffic load, Journal of Sound and Vibration, 1990, 140, 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, 2001, 16, 53-59.
[10] ZIBDEH H.S., Rackwitz R., Response moments of an elastic beam subjected to Poissonian moving loads, Journal of Sound and Vibration, 1995, 188, 479-495.
[11] ZIBDEH H.S., RACKWITZ R., Moving loads on beams with general boundary conditions, Journal of Sound and Vibration, 1996, 195, 85-102.
[12] BRYJA D., ŚNIADY P., Random vibration of a suspension bridge due to highway traffic. Journal of Sound and Vibration, 1988, 125, 379-387.
[13] BRYJA D., ŚNIADY P., Spatially coupled vibrations of a suspension bridge under random highway traffic, Earthquake Engineering and Structural Dynamics, 1991, 20, 999-1010.
[14] BRYJA D., ŚNIADY P., Stochastic non-linear vibrations of highway suspension bridge under inertial sprung moving load, Journal of Sound and Vibration, 1998, 216, 507-519.
[15] Lin Y.K., Caí 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, 1965,2, 375-390.
[17] ROBERTS J.B., System response to random impulses. Journal of Sound and Vibration, 1972, 24, 23-34.
[18] ŚNIADY P., Dynamic response of linear structures to a random stream of pulses, Journal of Sound and Vibration, 1989, 131,91-102.
[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, 1986, 110, 59-68.
[20] GŁADYSZ M., ŚNIADY P., Random vibrations of a discrete system under a series of loads constituting a Poisson process, Archives of Civil Engineering, 1984, XXX, 1, 37-51, (in Polish).
[21] PAOLA M.D., RICCARDI G., Vibration of a bridge undera random train of moving loads, Proceeding of the 6th Special Conference of Probabilistic Mechanics and Structural and Geotechnical Reliability, 1992, 136-139.
[22] RICCARDI G., Random vibration of beam under moving loads, Journal of Engineering Mechanics,1994, 120, 2361-2380.
[23] SOONG T.T., GriGORIU M., Random vibration of mechanical and structural systems, PTR Prentice Hall Englewood Cliffs, 1993.

Typ dokumentu

Bibliografia

Identyfikator YADDA

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