基于表面波形获取水底压力的计算方法及其实验验证

Calculation method and its experimental verification on catching bottom pressure based on surface wave pattern

为获取水面波形与水底压力的对应关系,提出基于表面波形获取水底压力的计算方法,建立表面波形和水底压力变化的测量系统.对水面波形测量结果,采用傅里叶级数展开法计算其系数,通过线性叠加法反演重构原来水面波形.根据有限水深色散关系计算不同频率组成波的波数,进一步计算出非规则波、船舶兴波以及船舶在波浪中航行时的水面波形在水底引起的压力变化.仿真结果表明,理论计算与实验结果吻合较好.

A calculation method to catch bottom pressure based on surface wave pattern was developed, and the measurement system for surface wave and bottom pressure variation was es- tablished to obtain their corresponding relations. According to measured results of wave pattern, Fourier series expansion method was applied to calculate its coefficients, and the linear superposition method was used for reverse transformation to re- construct original water wave pattern. With the wave number of different frequency component being determined by dispersion relation of finite depth, the pressure variation on water bottom was further calculated for irregular wave and ship-generated wave as well as wave pattern caused by a moving ship in waves. Simulation results show that theoretical calculation matches well with experimental results.