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Conclusions and Recommendations

Spencer, B. F. Jr.

Abstract The first passage problem for the single degree-of-freedom oscillator incorporating the modified Bouc hysteresis model has been solved by a Petrov-Galerkin finite element method. Solutions have been obtained for the first six ordinary moments of first passage time and for the cumulative distribution and probability density functions. Results have been presented for several hysteretic oscillators, and the accuracy of these results has been demonstrated by extensive Monte Carlo simulation. Finally, an effective method to estimate the reliability of a system having several prescribed moments has been examined. In the absence of an analytical solution, these results are the most accurate reported to date.

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Conclusions and Recommendations

Spencer, B. F. Jr.

Abstract The first passage problem for the single degree-of-freedom oscillator incorporating the modified Bouc hysteresis model has been solved by a Petrov-Galerkin finite element method. Solutions have been obtained for the first six ordinary moments of first passage time and for the cumulative distribution and probability density functions. Results have been presented for several hysteretic oscillators, and the accuracy of these results has been demonstrated by extensive Monte Carlo simulation. Finally, an effective method to estimate the reliability of a system having several prescribed moments has been examined. In the absence of an analytical solution, these results are the most accurate reported to date.

Conclusions and Recommendations

Spencer, B. F. Jr.

Abstract The first passage problem for the single degree-of-freedom oscillator incorporating the modified Bouc hysteresis model has been solved by a Petrov-Galerkin finite element method. Solutions have been obtained for the first six ordinary moments of first passage time and for the cumulative distribution and probability density functions. Results have been presented for several hysteretic oscillators, and the accuracy of these results has been demonstrated by extensive Monte Carlo simulation. Finally, an effective method to estimate the reliability of a system having several prescribed moments has been examined. In the absence of an analytical solution, these results are the most accurate reported to date.

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Titel:

Conclusions and Recommendations

Beteiligte:

Spencer, B. F. Jr. (Autor:in)

Erschienen in:

Reliability of Randomly Excited Hysteretic Structures ; 105-108

Lecture Notes in Engineering ; 21

Erscheinungsdatum:

01.01.1986

Format / Umfang:

4 pages

ISBN:

978-3-540-16863-8 , 978-3-642-82863-8

ISSN:

DOI:

https://doi.org/10.1007/978-3-642-82863-8_6

Medientyp:

Aufsatz/Kapitel (Buch)

Format:

Elektronische Ressource

Sprache:

Englisch

Schlagwörter:

Finite Element Solution , Initial Displacement , Galerkin Finite Element Method , Passage Problem , Entire Phase Space Engineering , Building Construction

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