메뉴 건너뛰기




Volumn 38, Issue 8, 2003, Pages 1269-1283

Monte Carlo simulation in the stochastic analysis of non-linear systems under external stationary Poisson white noise input

Author keywords

Monte Carlo simulation; Non Gaussian probability density function; Non linear stochastic dynamics; Quasi moment neglect closure; Stationary Poisson process

Indexed keywords

COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; WHITE NOISE;

EID: 0037412192     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(02)00072-0     Document Type: Article
Times cited : (37)

References (30)
  • 1
    • 0028550302 scopus 로고
    • Random vibration of beam under moving loads
    • Ricciardi G. Random vibration of beam under moving loads. J. Eng. Mech. ASCE. 120(11):1994;2361-2380.
    • (1994) J. Eng. Mech. ASCE , vol.120 , Issue.11 , pp. 2361-2380
    • Ricciardi, G.1
  • 2
    • 0003029301 scopus 로고
    • Random response of highway bridges to vehicle loads
    • Tung C.C. Random response of highway bridges to vehicle loads. J. Eng. Mech. Div. ASCE. 93(5):1967;79-94.
    • (1967) J. Eng. Mech. Div. ASCE , vol.93 , Issue.5 , pp. 79-94
    • Tung, C.C.1
  • 3
    • 85003281758 scopus 로고
    • Application of non-stationary shot noise in the study of system response to non-stationary excitations
    • Lin Y.K. Application of non-stationary shot noise in the study of system response to non-stationary excitations. J. Appl. Mech. ASME. 30:1963;555-558.
    • (1963) J. Appl. Mech. ASME , vol.30 , pp. 555-558
    • Lin, Y.K.1
  • 4
    • 0001999564 scopus 로고
    • System response to random impulse
    • Roberts J.B. System response to random impulse. J. Sound Vib. 24(1):1972;23-34.
    • (1972) J. Sound Vib. , vol.24 , Issue.1 , pp. 23-34
    • Roberts, J.B.1
  • 7
    • 0028768497 scopus 로고
    • Reliability of non-linear oscillators subjected to Poisson driven impulses
    • Köylüoglu H.U., Nielsen S.R.K., Iwankiewicz R. Reliability of non-linear oscillators subjected to Poisson driven impulses. J. Sound Vib. 176:1994;19-33.
    • (1994) J. Sound Vib. , vol.176 , pp. 19-33
    • Köylüoglu, H.U.1    Nielsen, S.R.K.2    Iwankiewicz, R.3
  • 8
    • 0029386854 scopus 로고
    • Fast cell-to-cell mapping (path integration) for non-linear white noise and Poisson driven systems
    • Köylüoglu H.U., Nielsen S.R.K., Cakmak A.S. Fast cell-to-cell mapping (path integration) for non-linear white noise and Poisson driven systems. Struct. Saf. 17:1995;151-165.
    • (1995) Struct. Saf. , vol.17 , pp. 151-165
    • Köylüoglu, H.U.1    Nielsen, S.R.K.2    Cakmak, A.S.3
  • 9
    • 0029196048 scopus 로고
    • Response and reliability of Poisson driven systems by path integration
    • Köylüoglu H.U., Nielsen S.R.K., Iwankiewicz R. Response and reliability of Poisson driven systems by path integration. J. Eng. Mech. ASCE. 121:1995;117-129.
    • (1995) J. Eng. Mech. ASCE , vol.121 , pp. 117-129
    • Köylüoglu, H.U.1    Nielsen, S.R.K.2    Iwankiewicz, R.3
  • 10
    • 0022598544 scopus 로고
    • Vibration of a non-linear single degree of freedom system due to Poissonian impulse excitation
    • Tylikowski A., Marowski W. Vibration of a non-linear single degree of freedom system due to Poissonian impulse excitation. Int. J. Non-Linear Mech. 21:1986;229-238.
    • (1986) Int. J. Non-Linear Mech. , vol.21 , pp. 229-238
    • Tylikowski, A.1    Marowski, W.2
  • 11
    • 0030289193 scopus 로고    scopus 로고
    • A partial differential equation for the characteristic function of the response of non-linear systems to additive Poisson white noise
    • Grigoriu M. A partial differential equation for the characteristic function of the response of non-linear systems to additive Poisson white noise. J. Sound Vib. 198:1996;193-202.
    • (1996) J. Sound Vib. , vol.198 , pp. 193-202
    • Grigoriu, M.1
  • 12
    • 0027831396 scopus 로고
    • Itô and Stratonovich integrals for delta-correlated processes
    • Di Paola M., Falsone G. Itô and Stratonovich integrals for delta-correlated processes. Prob. Eng. Mech. 8:1993;197-208.
    • (1993) Prob. Eng. Mech. , vol.8 , pp. 197-208
    • Di Paola, M.1    Falsone, G.2
  • 13
    • 0031234843 scopus 로고    scopus 로고
    • Stochastic integro-differential and differential equations of non-linear systems excited by parametric Poisson pulses
    • Di Paola M., Vasta M. Stochastic integro-differential and differential equations of non-linear systems excited by parametric Poisson pulses. Int. J. Non-Linear Mech. 8:1997;855-862.
    • (1997) Int. J. Non-Linear Mech. , vol.8 , pp. 855-862
    • Di Paola, M.1    Vasta, M.2
  • 14
    • 0031244944 scopus 로고    scopus 로고
    • A state-of-the-art report on computational stochastic mechanics - Simulation techniques
    • Special issue IASSAR Report
    • G.I. Schueller, (Guest Ed.), A state-of-the-art report on computational stochastic mechanics - simulation techniques (Special issue IASSAR Report), Prob. Eng. Mech. 12(4) (1997) 203-229.
    • (1997) Prob. Eng. Mech. , vol.12 , Issue.4 , pp. 203-229
    • Schueller, G.I.1
  • 15
    • 0000970314 scopus 로고    scopus 로고
    • Phase space reduction in stochastic dynamics
    • Vasta M., Schueller G.I. Phase space reduction in stochastic dynamics. J. Eng. Mech. (ASCE). 126:2000;626-632.
    • (2000) J. Eng. Mech. (ASCE) , vol.126 , pp. 626-632
    • Vasta, M.1    Schueller, G.I.2
  • 16
    • 0000131085 scopus 로고    scopus 로고
    • Moment closure by Monte Carlo simulation and moment sensitivity factors
    • Grigoriu M. Moment closure by Monte Carlo simulation and moment sensitivity factors. Int. J. Non-Linear Mech. 34:1999;739-748.
    • (1999) Int. J. Non-Linear Mech. , vol.34 , pp. 739-748
    • Grigoriu, M.1
  • 17
    • 0001928635 scopus 로고
    • Response of non-linear structural systems under Gaussian or non-Gaussian filtered input
    • F. Casciati. Wien: Springer
    • Muscolino G. Response of non-linear structural systems under Gaussian or non-Gaussian filtered input. Casciati F. Dynamic Motion, Chaotic and Stochastic Behaviour. 1993;203-299 Springer, Wien.
    • (1993) Dynamic Motion, Chaotic and Stochastic Behaviour , pp. 203-299
    • Muscolino, G.1
  • 18
    • 0002487221 scopus 로고    scopus 로고
    • Probability density of the response of non-linear structures under stochastic dynamic excitation
    • Hampl N.C., Schueller G.I. Probability density of the response of non-linear structures under stochastic dynamic excitation. Prob. Eng. Mech. 4:1996;2-9.
    • (1996) Prob. Eng. Mech. , vol.4 , pp. 2-9
    • Hampl, N.C.1    Schueller, G.I.2
  • 19
    • 0031273409 scopus 로고    scopus 로고
    • Stationary and non-stationary probability density function for non-linear oscillators
    • Muscolino G., Ricciardi G., Vasta M. Stationary and non-stationary probability density function for non-linear oscillators. Int. J. Non-linear Mech. 32:1997;1051-1064.
    • (1997) Int. J. Non-linear Mech. , vol.32 , pp. 1051-1064
    • Muscolino, G.1    Ricciardi, G.2    Vasta, M.3
  • 20
    • 0033528046 scopus 로고    scopus 로고
    • Probability density function of MDOF structural systems under non-normal delta-correlated inputs
    • Muscolino G., Ricciardi G. Probability density function of MDOF structural systems under non-normal delta-correlated inputs. Comput. Meth. Appl. Mech. Eng. 168:1999;121-133.
    • (1999) Comput. Meth. Appl. Mech. Eng. , vol.168 , pp. 121-133
    • Muscolino, G.1    Ricciardi, G.2
  • 21
    • 0023349285 scopus 로고
    • White noise processes
    • Grigoriu M. White noise processes. J. Eng. Mech. ASCE. 113(5):1987;757-765.
    • (1987) J. Eng. Mech. ASCE , vol.113 , Issue.5 , pp. 757-765
    • Grigoriu, M.1
  • 23
    • 0027553396 scopus 로고
    • Stochastic dynamics of non-linear systems driven by non-normal delta correlated process
    • Di Paola M., Falsone G. Stochastic dynamics of non-linear systems driven by non-normal delta correlated process. J. Appl. Mech. ASME. 60:1993;141-148.
    • (1993) J. Appl. Mech. ASME , vol.60 , pp. 141-148
    • Di Paola, M.1    Falsone, G.2
  • 25
    • 0023209886 scopus 로고
    • Extension of second moment analysis to vector valued and matrix valued functions
    • Ma F. Extension of second moment analysis to vector valued and matrix valued functions. Int. J. Non-Linear Mech. 22:1987;251-260.
    • (1987) Int. J. Non-Linear Mech. , vol.22 , pp. 251-260
    • Ma, F.1
  • 27
    • 0025454172 scopus 로고
    • Random analysis of geometrically non-linear FE modelled structures under seismic actions
    • Di Paola M., Falsone G., Muscolino G. Random analysis of geometrically non-linear FE modelled structures under seismic actions. Struct. Saf. 8:1990;209-222.
    • (1990) Struct. Saf. , vol.8 , pp. 209-222
    • Di Paola, M.1    Falsone, G.2    Muscolino, G.3
  • 28
    • 0025594230 scopus 로고
    • Differential moment equations of FE modelled structures with geometrical non-linearities
    • Di Paola M., Muscolino G. Differential moment equations of FE modelled structures with geometrical non-linearities. Int. J. Non-Linear Mech. 22:1990;363-373.
    • (1990) Int. J. Non-Linear Mech. , vol.22 , pp. 363-373
    • Di Paola, M.1    Muscolino, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.