TRANSIENT STATISTICAL ENERGY ANALYSIS OF AN IMPULSIVELY EXCITED TWO OSCILLATOR SYSTEM

• Published in: Journal of sound and vibration Vol. 189; no. 2; pp. 249 - 264
• Main Authors: Pinnington, R.J., Lednik, D.
• Format: Journal Article
• Language: English
• 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
• DOI: 10.1006/jsvi.1996.0018
• ISSN: 0022-460X

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.