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Volumn 66, Issue 4, 1996, Pages 255-263

Exact stationary response solutions of nonlinear dynamic systems

Author keywords

Exact probability densities; External stochastic excitation; FPK equation; Nonlinear dynamic systems; Stationary random process

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; VIBRATIONS (MECHANICAL);

EID: 0030106763     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004190050065     Document Type: Article
Times cited : (10)

References (9)
  • 1
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    • Random vibration: A survey of recent developments
    • Crandall, S. H.; Zhu, W. Q.: Random vibration: A survey of recent developments. Trans. ASME/J. Appl. Mech. 50 (1983) 953-962
    • (1983) Trans. ASME/J. Appl. Mech. , vol.50 , pp. 953-962
    • Crandall, S.H.1    Zhu, W.Q.2
  • 2
    • 0043100385 scopus 로고
    • On exact stationary solutions of equivalent nonlinear stochastic systems
    • Cai, G. Q.; Lin, Y. K.: On exact stationary solutions of equivalent nonlinear stochastic systems. Int. J. nonlinear Mech. 23 (1988) 315-325
    • (1988) Int. J. Nonlinear Mech. , vol.23 , pp. 315-325
    • Cai, G.Q.1    Lin, Y.K.2
  • 3
    • 0026946399 scopus 로고
    • A new approximate solution technique for randomly excited nonlinear oscillators - II
    • Cai, G. Q.; Lin, Y. K.: A new approximate solution technique for randomly excited nonlinear oscillators - II. Int. J. nonlinear Mech. 27 (1992) 969-979
    • (1992) Int. J. Nonlinear Mech. , vol.27 , pp. 969-979
    • Cai, G.Q.1    Lin, Y.K.2
  • 4
    • 0000525427 scopus 로고
    • Nonlinear theory of random vibrations
    • New York: Academic Press
    • Caughey, T. K.: Nonlinear theory of random vibrations. Advances Appl. Mech. 11. New York: Academic Press 1971
    • (1971) Advances Appl. Mech. , vol.11
    • Caughey, T.K.1
  • 6
    • 0020301816 scopus 로고
    • The exact steady-state solution of a class of nonlinear stochastic systems
    • Caughey, T. K.; Ma, F.: The exact steady-state solution of a class of nonlinear stochastic systems. Int. J. nonlinear Mech. 17 (1982) 137-147
    • (1982) Int. J. Nonlinear Mech. , vol.17 , pp. 137-147
    • Caughey, T.K.1    Ma, F.2
  • 7
    • 0020186377 scopus 로고
    • The steady-state response of a class of dynamic systems to stochastic excitation
    • Caughey, T. K.; Ma, F.: The steady-state response of a class of dynamic systems to stochastic excitation. Trans. ASME/J. Appl. Mech. 49 (1982) 629-632
    • (1982) Trans. ASME/J. Appl. Mech. , vol.49 , pp. 629-632
    • Caughey, T.K.1    Ma, F.2
  • 9
    • 5844257779 scopus 로고    scopus 로고
    • A mathematical demonstration of nonlinear systems of existing exact stationary solutions under stochastic excitations
    • submitted
    • Zhang, Zh.; Wang, R.; Kusumoto, S.: A mathematical demonstration of nonlinear systems of existing exact stationary solutions under stochastic excitations. (submitted to Probability Engineering Mechanics)
    • Probability Engineering Mechanics
    • Zhang, Zh.1    Wang, R.2    Kusumoto, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.