Lafont T, Totaro N, Le Bot A
Laboratoire de Tribologie et Dynamique des Systèmes, École Centrale de Lyon, 69134 Écully, France.
Laboratoire Vibrations Acoustique, INSA Lyon, 69621 Villeurbanne, France.
Proc Math Phys Eng Sci. 2017 Apr;473(2200):20160927. doi: 10.1098/rspa.2016.0927. Epub 2017 Apr 19.
This paper is a discussion of the hypothesis of weak coupling in statistical energy analysis (SEA). The examples of coupled oscillators and statistical ensembles of coupled plates excited by broadband random forces are discussed. In each case, a reference calculation is compared with the SEA calculation. First, it is shown that the main SEA relation, the coupling power proportionality, is always valid for two oscillators irrespective of the coupling strength. But the case of three subsystems, consisting of oscillators or ensembles of plates, indicates that the coupling power proportionality fails when the coupling is strong. Strong coupling leads to non-zero indirect coupling loss factors and, sometimes, even to a reversal of the energy flow direction from low to high vibrational temperature.
本文讨论了统计能量分析（SEA）中的弱耦合假设。文中讨论了由宽带随机力激发的耦合振子以及耦合板的统计系综的示例。在每种情况下，都将参考计算与SEA计算进行了比较。首先，结果表明，主要的SEA关系，即耦合功率比例关系，对于两个振子总是有效的，而与耦合强度无关。但是，由振子或板的系综组成的三个子系统的情况表明，当耦合很强时，耦合功率比例关系就会失效。强耦合会导致非零的间接耦合损耗因子，有时甚至会导致能量流方向从低振动温度向高振动温度反转。
