Free Vibration Analysis of a Multiple Layered Structure by the Transfer Influence Coefficient Method (4th Report, Computational Results of a Structure with Two Layers Regarded as Distributed Mass System)

Atsuo Sueoka, Takahiro Kondou, Katsuya Yamashita, Deok Hong Moon

研究成果: ジャーナルへの寄稿記事

抄録

The authors apply the general formulation for the in-plane flexural free vibration analysis obtained in the previous report to a structure with two layers regarded as a distributed mass system. They state the effective method of numerical computations suitable for the remarkably stiff intermediate elastic supports between layers in detail. The results of the simple numerical computational examples demonstrate the validity of the present method, that is, the numerical high accuracy, the high speed, the unification of the frequency equation for all boundary conditions when the bisection method is used as a solution, and the flexibility for programming of the transfer influence coefficient method, compared with the transfer matrix method on a personal computer. The cancelling attributable to the sum and difference of the trigonometric and exponential functions is overcome by partition of the uniformly distributed beams.

元の言語英語
ページ(範囲)1957-1964
ページ数8
ジャーナルTransactions of the Japan Society of Mechanical Engineers Series C
55
発行部数516
DOI
出版物ステータス出版済み - 1 1 1989
外部発表Yes

Fingerprint

Transfer matrix method
Exponential functions
Vibration analysis
Personal computers
Boundary conditions

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

これを引用

@article{676ef04f855741088df4b991f2024dbe,
title = "Free Vibration Analysis of a Multiple Layered Structure by the Transfer Influence Coefficient Method (4th Report, Computational Results of a Structure with Two Layers Regarded as Distributed Mass System)",
abstract = "The authors apply the general formulation for the in-plane flexural free vibration analysis obtained in the previous report to a structure with two layers regarded as a distributed mass system. They state the effective method of numerical computations suitable for the remarkably stiff intermediate elastic supports between layers in detail. The results of the simple numerical computational examples demonstrate the validity of the present method, that is, the numerical high accuracy, the high speed, the unification of the frequency equation for all boundary conditions when the bisection method is used as a solution, and the flexibility for programming of the transfer influence coefficient method, compared with the transfer matrix method on a personal computer. The cancelling attributable to the sum and difference of the trigonometric and exponential functions is overcome by partition of the uniformly distributed beams.",
author = "Atsuo Sueoka and Takahiro Kondou and Katsuya Yamashita and Moon, {Deok Hong}",
year = "1989",
month = "1",
day = "1",
doi = "10.1299/kikaic.55.1957",
language = "English",
volume = "55",
pages = "1957--1964",
journal = "Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C",
issn = "0387-5024",
publisher = "The Japan Society of Mechanical Engineers",
number = "516",

}

TY - JOUR

T1 - Free Vibration Analysis of a Multiple Layered Structure by the Transfer Influence Coefficient Method (4th Report, Computational Results of a Structure with Two Layers Regarded as Distributed Mass System)

AU - Sueoka, Atsuo

AU - Kondou, Takahiro

AU - Yamashita, Katsuya

AU - Moon, Deok Hong

PY - 1989/1/1

Y1 - 1989/1/1

N2 - The authors apply the general formulation for the in-plane flexural free vibration analysis obtained in the previous report to a structure with two layers regarded as a distributed mass system. They state the effective method of numerical computations suitable for the remarkably stiff intermediate elastic supports between layers in detail. The results of the simple numerical computational examples demonstrate the validity of the present method, that is, the numerical high accuracy, the high speed, the unification of the frequency equation for all boundary conditions when the bisection method is used as a solution, and the flexibility for programming of the transfer influence coefficient method, compared with the transfer matrix method on a personal computer. The cancelling attributable to the sum and difference of the trigonometric and exponential functions is overcome by partition of the uniformly distributed beams.

AB - The authors apply the general formulation for the in-plane flexural free vibration analysis obtained in the previous report to a structure with two layers regarded as a distributed mass system. They state the effective method of numerical computations suitable for the remarkably stiff intermediate elastic supports between layers in detail. The results of the simple numerical computational examples demonstrate the validity of the present method, that is, the numerical high accuracy, the high speed, the unification of the frequency equation for all boundary conditions when the bisection method is used as a solution, and the flexibility for programming of the transfer influence coefficient method, compared with the transfer matrix method on a personal computer. The cancelling attributable to the sum and difference of the trigonometric and exponential functions is overcome by partition of the uniformly distributed beams.

UR - http://www.scopus.com/inward/record.url?scp=0024718190&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024718190&partnerID=8YFLogxK

U2 - 10.1299/kikaic.55.1957

DO - 10.1299/kikaic.55.1957

M3 - Article

AN - SCOPUS:0024718190

VL - 55

SP - 1957

EP - 1964

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

SN - 0387-5024

IS - 516

ER -