Uncertain dynamic response of a deterministic elastic-plastic beam

Q. M. Li; Y. M. Liu

doi:10.1016/S0734-743X(02)00125-2

Uncertain dynamic response of a deterministic elastic-plastic beam

Q. M. Li^*, Y. M. Liu

^*Corresponding author for this work

Nanyang Technological University

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

The counterintuitive phenomenon of elastic-plastic beam dynamics was demonstrated by Symonds and Yu (ASME J Appl Mech 1985;52:517). An analytical model has been developed to explain this phenomenon from a deterministic viewpoint. However, experimental evidence in (Int J Impact Eng 1991;11(3):341; Int J Impact Eng 1991;11(4):445) showed that the response of this deterministic system is uncertain, which is studied qualitatively in the present paper based on parametric sensitive characteristics of the deterministic system and parametric uncertainty of the studied system. FEM and Monte Carlo method are applied to study this phenomenon.

Original language	English
Pages (from-to)	643-651
Number of pages	9
Journal	International Journal of Impact Engineering
Volume	28
Issue number	6
DOIs	https://doi.org/10.1016/S0734-743X(02)00125-2
Publication status	Published - Jul 2003
Externally published	Yes

Keywords

Elastic-plastic beam dynamics
Monte Carlo method
Uncertain response

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10.1016/S0734-743X(02)00125-2

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title = "Uncertain dynamic response of a deterministic elastic-plastic beam",

abstract = "The counterintuitive phenomenon of elastic-plastic beam dynamics was demonstrated by Symonds and Yu (ASME J Appl Mech 1985;52:517). An analytical model has been developed to explain this phenomenon from a deterministic viewpoint. However, experimental evidence in (Int J Impact Eng 1991;11(3):341; Int J Impact Eng 1991;11(4):445) showed that the response of this deterministic system is uncertain, which is studied qualitatively in the present paper based on parametric sensitive characteristics of the deterministic system and parametric uncertainty of the studied system. FEM and Monte Carlo method are applied to study this phenomenon.",

keywords = "Elastic-plastic beam dynamics, Monte Carlo method, Uncertain response",

author = "Li, {Q. M.} and Liu, {Y. M.}",

year = "2003",

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AU - Liu, Y. M.

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AB - The counterintuitive phenomenon of elastic-plastic beam dynamics was demonstrated by Symonds and Yu (ASME J Appl Mech 1985;52:517). An analytical model has been developed to explain this phenomenon from a deterministic viewpoint. However, experimental evidence in (Int J Impact Eng 1991;11(3):341; Int J Impact Eng 1991;11(4):445) showed that the response of this deterministic system is uncertain, which is studied qualitatively in the present paper based on parametric sensitive characteristics of the deterministic system and parametric uncertainty of the studied system. FEM and Monte Carlo method are applied to study this phenomenon.

KW - Elastic-plastic beam dynamics

KW - Monte Carlo method

KW - Uncertain response

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SP - 643

EP - 651

JO - International Journal of Impact Engineering

JF - International Journal of Impact Engineering

IS - 6

ER -

Uncertain dynamic response of a deterministic elastic-plastic beam

Abstract

Keywords

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