Investigation of random response of rotational shell when considering geometric nonlinear behaviour

Shi Qiao Gao; Lei Jin; H. J. Niemann; Hai Peng Liu

doi:10.1023/A:1016369922044

Investigation of random response of rotational shell when considering geometric nonlinear behaviour

Shi Qiao Gao^*, Lei Jin, H. J. Niemann, Hai Peng Liu

^*Corresponding author for this work

School of Mechatronical Engineering

Ruhr University Bochum

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

3 Citations (Scopus)

Abstract

An iteration method of statistic linearization (IMSL) is presented. By this method, an equivalent linear term was formed in geometric relation and then an equivalent stiffness matrix for nonlinear term in vibration equation was established. Using the method to solve the statistic linear vibration equations, the effect of geometric nonlinearity on the random response of rotational shell is obtained.

Original language	English
Pages (from-to)	1268-1272
Number of pages	5
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	22
Issue number	11
DOIs	https://doi.org/10.1023/A:1016369922044
Publication status	Published - Nov 2001

Keywords

Nonlinear
Random response
Rotational shell

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Gao, S. Q., Jin, L., Niemann, H. J., & Liu, H. P. (2001). Investigation of random response of rotational shell when considering geometric nonlinear behaviour. Applied Mathematics and Mechanics (English Edition), 22(11), 1268-1272. https://doi.org/10.1023/A:1016369922044

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abstract = "An iteration method of statistic linearization (IMSL) is presented. By this method, an equivalent linear term was formed in geometric relation and then an equivalent stiffness matrix for nonlinear term in vibration equation was established. Using the method to solve the statistic linear vibration equations, the effect of geometric nonlinearity on the random response of rotational shell is obtained.",

keywords = "Nonlinear, Random response, Rotational shell",

author = "Gao, {Shi Qiao} and Lei Jin and Niemann, {H. J.} and Liu, {Hai Peng}",

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AU - Gao, Shi Qiao

AU - Jin, Lei

AU - Niemann, H. J.

AU - Liu, Hai Peng

PY - 2001/11

Y1 - 2001/11

N2 - An iteration method of statistic linearization (IMSL) is presented. By this method, an equivalent linear term was formed in geometric relation and then an equivalent stiffness matrix for nonlinear term in vibration equation was established. Using the method to solve the statistic linear vibration equations, the effect of geometric nonlinearity on the random response of rotational shell is obtained.

AB - An iteration method of statistic linearization (IMSL) is presented. By this method, an equivalent linear term was formed in geometric relation and then an equivalent stiffness matrix for nonlinear term in vibration equation was established. Using the method to solve the statistic linear vibration equations, the effect of geometric nonlinearity on the random response of rotational shell is obtained.

KW - Nonlinear

KW - Random response

KW - Rotational shell

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U2 - 10.1023/A:1016369922044

DO - 10.1023/A:1016369922044

M3 - Article

AN - SCOPUS:0035502830

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JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 11

ER -

Investigation of random response of rotational shell when considering geometric nonlinear behaviour

Abstract

Keywords

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