Considering that research of circumferential horizontal shear wave(SH wave)has been published on the solid cylinders and cylindrical shell structures,aiming to discuss the existence of SH surface waves on the cylindrical cavity.Since it is impossible to directly obtain the analytical solution of SH surface wave propagating in cylindrical cavity,we compare the tendency of wave structures,strain energy density varying along thickness of SH waves on the surface of cylinders and various cylindrical shells.The governing equation of SH wave of homogeneous elastic material and functionally graded material in cylindrical coordinate system is established.The Bessel functions solution and the power series asymptotic solution of the governing equations of homogeneous elastic materials and functionally graded materials are obtained,respectively.Furthermore,the dispersion curves,the wave structures and the strain energy density are calculated.The results show that the power series method can be employed for solving wave governing equations with variable coefficients with high accuracy,the energy of circumferential SH waves in cylindrical structures is concentrated on the outer surface or subsurface,and the phenomenon of energy concentration is more obvious along thickness.It can be deduced from the distribution of strain energy density that the circumferential SH surface wave cannot propagate in the cylindrical cavity.Finally,for homogeneous material structure and functionally graded material structure,the inverse method is used to prove that any analytical solution cannot satisfy the attenuation condition of SH surface wave in the cavity.
circumferential SH wavebessel functionasymptotic solution of power series methodwave structurestrain energy density
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