DETERMINATION OF THE RESONANCE FREQUENCIES IN THE COURSE OF SOUNDING OF IMPEDANCE DEFECTS ON THE BOUNDARY OF THE RIGID JOINT OF A PLATE AND A HALF SPACE BY ELASTIC SH-WAVES

摘要

We study the problem of diffraction of elastic SH-waves on the striplike impedance surface of the rigidly fastened edge of an infinite elastic layer. The problem is solved by the Wiener-Hopf method. We analyze the eigenvalues of operator of the problem corresponding to resonance vibration of the dynamical system in the main mode. We also construct the dependences of the first branch of roots of the characteristic equation on the ratio of crack length to the thickness of the plate for various values of the impedance of defects.