Vibration control is a permanent and significant issue in all forms of structural dynamic analysis with the consistent objective being to minimize vibration levels. Considering that the propagation of vibration waves is essentially the transmission of vibrational energy flow (VEF), the fundamental requirement, therefore, is to minimize the VEF transmitted from sources to sinks and then to control and block the flow of vibration energy. Structural intensity (SI) method, combining forces with velocities to assess the magnitude and directions of VEF, is alternative to classical dynamic assessment methods offering insight into the transmission of VEF and studying additional phenomena which cannot be obtained by conventional dynamic analysis. In the field of noise, active noise control has been widely used in vehicles and headphones, which has achieved remarkable results by introducing a cancelling ‘anti-noise’ wave through an appropriate array of secondary sources. Analogically, it is considered whether the vibration of the structure can be attenuated by introducing a secondary reverse excitation (SRE) to offset the VEF transmitted in the structure. Therefore, this article combines the SI method and SRE to carry out related research on this issue. The rectangular plate with the circular hole subjected to the transient sinusoidal force, being widely used and found in various engineering branches, is taken as the research object. The developed simulation system consisting of the finite element tool and the in-house program is used to assess and visualize the instantaneous SI fields. The effects of the SRE acting on this structure on the transmission behaviours of VEF and the vibration suppression have been investigated in detail. Moreover, the transmission, conversion and balance relationships of the VEF have been derived from the general equation of motion and analysed as well. This study sheds new light on the vibration attenuation by introducing the secondary source from the perspective of VEF.

在所有形式的结构动态分析中，振动控制都是一个永久性且重要的问题，其一致目标是最大限度地减少振动水平。考虑到振动波的传播本质上是振动能量流（VEF）的传递，因此基本要求是尽量减少从源到汇传递的VEF，进而控制和阻断振动能量的流动。结构强度 (SI) 方法将力与速度相结合来评估 VEF 的大小和方向，是经典动态评估方法的替代方法，可以深入了解 VEF 的传输并研究常规动态分析无法获得的其他现象。在噪声领域，主动噪声控制已广泛应用于车辆和耳机，通过适当的二次源阵列引入抵消“抗噪声”波，取得了显着的效果。类似地，考虑是否可以通过引入二次反向激励（SRE）来抵消结构中传递的 VEF 来衰减结构的振动。因此，本文结合SI方法和SRE对这一问题进行相关研究。以圆孔矩形板为研究对象，该板在各个工程分支中得到广泛应用和广泛应用。由有限元工具和内部程序组成的开发模拟系统用于评估和可视化瞬时 SI 场。已经详细研究了作用于该结构的 SRE 对 VEF 传递行为和振动抑制的影响。此外，还从一般运动方程中导出并分析了VEF的传动、转换和平衡关系。这项研究通过从 VEF 的角度引入二次源，为振动衰减提供了新的思路。