TRANSIENT STATISTICAL ENERGY ANALYSIS OF AN IMPULSIVELY EXCITED TWO OSCILLATOR SYSTEM

The exact transient energy response of a two-degree-of-freedom system subject to an impulse is compared to that from a transient statistical energy analysis on a two oscillator system. Mathematical expressions are derived for both methods and compared. The comparisons focus on the initial energy tra...

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Bibliographic Details
Published inJournal of sound and vibration Vol. 189; no. 2; pp. 249 - 264
Main Authors Pinnington, R.J., Lednik, D.
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 18.01.1996
Elsevier
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
Wave transmission
Energy analysis
Transient response
Statistical analysis
Coupled oscillator
Pulse response
Numerical method
Energy transfer
Comparative study
Mechanical shock
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Summary:The exact transient energy response of a two-degree-of-freedom system subject to an impulse is compared to that from a transient statistical energy analysis on a two oscillator system. Mathematical expressions are derived for both methods and compared. The comparisons focus on the initial energy transfer ratio, the rise time to a peak value, the peak value and final decay rates. Numerical modelling of the two methods is also made. It is found that the integral of transmitted energy is identical for both approaches. The response reaches the peak level earlier according to the statistical energy analysis but peak levels and eventual decay rates and levels are similar for both methods.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.1996.0018