“Sound Resonance and Wave Properties in Gases and Liquids Investigating the Nature of Soundwaves Formula Extension“

Our research is an attempt to derive mathematical formula to describe the state of a system created by to or more waves resulting in a shockwave production The shockwave produced is a carrier of an energy that can be used for motion in gases and liquids To be able to utilize this energy we must be able to describe the state of a system of two or more waves at any given time thus deriving a formula that links energy produced to the component characteristics of the wave e.g frequency amplitude etc A mathematical model is used which presents a system of waves as a sum or difference of two vectors which is the resulting vector or a shockwave It is a model that has been obtained after using detailed analysis of both longitudinal and transverse waves

本研究旨在推导数学公式，以描述由两个及以上波叠加产生冲击波的系统的状态。所产生的冲击波携带着可用于气体与液体中驱动运动的能量。为利用该能量，我们需能够在任意时刻描述双波或多波系统的状态，进而推导出将产生的能量与波的分量特性（例如频率、振幅等）相关联的公式。本研究采用的数学模型将波系表示为两个矢量的和或差，该合成矢量即为冲击波。该模型是通过对纵波与横波开展详细分析后得到的。