Structural intensity technique is used to measure vibration power flow in technically or structurally orthotropic plates for flexural waves. The measurements are carried out in far-field conditions considering cross-spectra of acceleration in the frequency domain. Two trapezoidal corrugated plates are used. To investigate the effects of rigidity on flexural wave power transmission and vibration levels, an isotropic plate is also considered. The method of elastic equivalence is used to model the elastic properties of the corrugated plates so as to apply the classical orthotropic plate theory. It is observed that vibration power flow in trapezoidal corrugated plates is reduced compared to that of an isotropic plate used in this measurement. At the same time, it may be noted that the vibration response fields of trapezoidal corrugated plates are reduced compared to that of the isotropic plate. The geometrical modification for producing a trapezoidal corrugation, a passive method for controlling vibration, yields a good controlling method for noise, vibration and harness (NVH) problems in industries.