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

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)1957-1964
Number of pages8
JournalTransactions of the Japan Society of Mechanical Engineers Series C
Volume55
Issue number516
DOIs
Publication statusPublished - Jan 1 1989
Externally publishedYes

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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

Cite this

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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.",
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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.

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