固体板中SH型板波的"共振"二次谐波发生
Resonant second-harmonic generation accompanying SH type plate waves in an isotropic plate
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摘要: 从理论上研究了固体板内SH型板波的"共振"二次谐波发生。结果表明,当固体板内SH型板波的相速等于板材介质的纵波声速时,二阶驱动波表现出沿固体板界面方向积累的性质。根据二阶应力边界条件,确定出了固体板内的二阶积累波。尽管本文不能完全确定出板内的二阶平面波,但文中求得的固体板内伴随SH型板波传播所发生的二阶积累波,仍是具有实际意义的。Abstract: In this article resonant second-harmonic generation accompanying SH type plate waves in an isotropic plate has been studied theoretically.The result shows that one of second-order driving waves retains the effect of cumulative growth along the boundary of the plate,once the phase velocities of SH type plate waves equal the longitudinal one of elastic medium of plate.Second-order cumulative waves have been fully determined by applying the boundary condition of second-order stress.Although second-order plane-waves can not be entirely fixed in the present analysis,the cumulative waves accompanying SH type plate waves are of substantial significance in practical application.