Analysis of damped vibration for a viscoelastic block supported by a nonlinear concentrated sping using FEM

Takao Yamaguchi; Tomoaki Saito; Ken Ichi Nagai; Shinichi Maruyama; Yoshio Kurosawa; Shuuji Matsumura

doi:10.1299/kikaic.71.829

Analysis of damped vibration for a viscoelastic block supported by a nonlinear concentrated sping using FEM

Takao Yamaguchi, Tomoaki Saito, Ken Ichi Nagai, Shinichi Maruyama, Yoshio Kurosawa, Shuuji Matsumura

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

4 Scopus citations

Abstract

This paper describes vibration analysis using finite element method for a viscoelastic block supported by a nonlinear concentrated sping. The restoring force of the spring has cubic nonlinearity and linear hysterisis damping. Finite element for the nonlinear spring is expressed and is connected to the viscoelastic block modeled by linear solid finite elements in consideration with complex modulus of elasticity. Further, the discretized equations in physical coordinate are transformed into the nonlinear ordinary coupled equations using normal coordinate corresponding to linear natural modes. This transformation yields computation efficiency. Influences of share of dissipated energy on nonlinear frequency responses for the viscoelastic block are clarified.

Original language	English
Pages (from-to)	829-836
Number of pages	8
Journal	Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume	71
Issue number	3
DOIs	https://doi.org/10.1299/kikaic.71.829
State	Published - Mar 2005
Externally published	Yes

Keywords

Computer Aided Analysis
Damping
Finite Element Method
Nonlinear Vibration
Vibration of Continuous System

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10.1299/kikaic.71.829

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title = "Analysis of damped vibration for a viscoelastic block supported by a nonlinear concentrated sping using FEM",

abstract = "This paper describes vibration analysis using finite element method for a viscoelastic block supported by a nonlinear concentrated sping. The restoring force of the spring has cubic nonlinearity and linear hysterisis damping. Finite element for the nonlinear spring is expressed and is connected to the viscoelastic block modeled by linear solid finite elements in consideration with complex modulus of elasticity. Further, the discretized equations in physical coordinate are transformed into the nonlinear ordinary coupled equations using normal coordinate corresponding to linear natural modes. This transformation yields computation efficiency. Influences of share of dissipated energy on nonlinear frequency responses for the viscoelastic block are clarified.",

keywords = "Computer Aided Analysis, Damping, Finite Element Method, Nonlinear Vibration, Vibration of Continuous System",

author = "Takao Yamaguchi and Tomoaki Saito and Nagai, {Ken Ichi} and Shinichi Maruyama and Yoshio Kurosawa and Shuuji Matsumura",

year = "2005",

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doi = "10.1299/kikaic.71.829",

language = "英語",

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journal = "Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C",

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publisher = "Japan Society of Mechanical Engineers",

number = "3",

}

Analysis of damped vibration for a viscoelastic block supported by a nonlinear concentrated sping using FEM. / Yamaguchi, Takao; Saito, Tomoaki; Nagai, Ken Ichi et al.
In: Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C, Vol. 71, No. 3, 03.2005, p. 829-836.

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

TY - JOUR

T1 - Analysis of damped vibration for a viscoelastic block supported by a nonlinear concentrated sping using FEM

AU - Yamaguchi, Takao

AU - Saito, Tomoaki

AU - Nagai, Ken Ichi

AU - Maruyama, Shinichi

AU - Kurosawa, Yoshio

AU - Matsumura, Shuuji

PY - 2005/3

Y1 - 2005/3

N2 - This paper describes vibration analysis using finite element method for a viscoelastic block supported by a nonlinear concentrated sping. The restoring force of the spring has cubic nonlinearity and linear hysterisis damping. Finite element for the nonlinear spring is expressed and is connected to the viscoelastic block modeled by linear solid finite elements in consideration with complex modulus of elasticity. Further, the discretized equations in physical coordinate are transformed into the nonlinear ordinary coupled equations using normal coordinate corresponding to linear natural modes. This transformation yields computation efficiency. Influences of share of dissipated energy on nonlinear frequency responses for the viscoelastic block are clarified.

AB - This paper describes vibration analysis using finite element method for a viscoelastic block supported by a nonlinear concentrated sping. The restoring force of the spring has cubic nonlinearity and linear hysterisis damping. Finite element for the nonlinear spring is expressed and is connected to the viscoelastic block modeled by linear solid finite elements in consideration with complex modulus of elasticity. Further, the discretized equations in physical coordinate are transformed into the nonlinear ordinary coupled equations using normal coordinate corresponding to linear natural modes. This transformation yields computation efficiency. Influences of share of dissipated energy on nonlinear frequency responses for the viscoelastic block are clarified.

KW - Computer Aided Analysis

KW - Damping

KW - Finite Element Method

KW - Nonlinear Vibration

KW - Vibration of Continuous System

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DO - 10.1299/kikaic.71.829

M3 - 記事

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SN - 0387-5024

VL - 71

SP - 829

EP - 836

JO - Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

IS - 3

ER -

Analysis of damped vibration for a viscoelastic block supported by a nonlinear concentrated sping using FEM

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Keywords

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