Standard

Vibration of a plate with attached mass. / Smirnov, A.

In: Transactions of the Canadian Society for Mechanical Engineering, Vol. 12, No. 2, 1988, p. 71-78.

Research output: Contribution to journalArticlepeer-review

Harvard

Smirnov, A 1988, 'Vibration of a plate with attached mass', Transactions of the Canadian Society for Mechanical Engineering, vol. 12, no. 2, pp. 71-78.

APA

Smirnov, A. (1988). Vibration of a plate with attached mass. Transactions of the Canadian Society for Mechanical Engineering, 12(2), 71-78.

Vancouver

Smirnov A. Vibration of a plate with attached mass. Transactions of the Canadian Society for Mechanical Engineering. 1988;12(2):71-78.

Author

Smirnov, A. / Vibration of a plate with attached mass. In: Transactions of the Canadian Society for Mechanical Engineering. 1988 ; Vol. 12, No. 2. pp. 71-78.

BibTeX

@article{fa61a0cdd4314db08e40f28b1b4c4703,
title = "Vibration of a plate with attached mass",
abstract = "The eigenvalue problem for a circular plate with an attached mass is considered. The receptance method and the finite element method are both used to solve the problem. The eigenvalue equation obtained with the receptance method allows for both numerical and asymptotic solutions. By means of the method of a small disturbance, the simple formulas for eigenvalues are evaluated and the accuracy of these formulas is estimated. The asymptotic formulas describe the influence of the attached mass, the stiffness of a spring and damping on eigenvalues. The results of the computations show that eigenvalues obtained with the different methods show good agreement.",
author = "A. Smirnov",
year = "1988",
language = "English",
volume = "12",
pages = "71--78",
journal = "Transactions of the Canadian Society for Mechanical Engineering",
issn = "0315-8977",
publisher = "Canadian Society for Mechanical Engineering",
number = "2",

}

RIS

TY - JOUR

T1 - Vibration of a plate with attached mass

AU - Smirnov, A.

PY - 1988

Y1 - 1988

N2 - The eigenvalue problem for a circular plate with an attached mass is considered. The receptance method and the finite element method are both used to solve the problem. The eigenvalue equation obtained with the receptance method allows for both numerical and asymptotic solutions. By means of the method of a small disturbance, the simple formulas for eigenvalues are evaluated and the accuracy of these formulas is estimated. The asymptotic formulas describe the influence of the attached mass, the stiffness of a spring and damping on eigenvalues. The results of the computations show that eigenvalues obtained with the different methods show good agreement.

AB - The eigenvalue problem for a circular plate with an attached mass is considered. The receptance method and the finite element method are both used to solve the problem. The eigenvalue equation obtained with the receptance method allows for both numerical and asymptotic solutions. By means of the method of a small disturbance, the simple formulas for eigenvalues are evaluated and the accuracy of these formulas is estimated. The asymptotic formulas describe the influence of the attached mass, the stiffness of a spring and damping on eigenvalues. The results of the computations show that eigenvalues obtained with the different methods show good agreement.

UR - http://www.scopus.com/inward/record.url?scp=0024177286&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0024177286

VL - 12

SP - 71

EP - 78

JO - Transactions of the Canadian Society for Mechanical Engineering

JF - Transactions of the Canadian Society for Mechanical Engineering

SN - 0315-8977

IS - 2

ER -

ID: 9066302