关键词: 方柱, 自结合方法, 频散方程, 群速度方程, 频谱, 群速度曲线, 稳态响应

Abstract: A self-adjoint method is proposed to derive the guided?wave restriction condition. After finding the orthogonal sets corresponding to the guided?wave restriction condition, the analytic dispersive equation, group velocity equation and steady response are obtained simultaneously. It is found that the propagating stress waves are classified by the kinds of the quasi-P, quasi?SV and quasi-SH waves, and are arranged by the standing wave number; the spectrum, the group velocity curve and the steady response have the same regularity. In the end, a calculation is represented, and the spectrum, the group velocity curve and the steady response are plotted of the transversely isotropic square columns.

Key words: square column, self?adjoint method, frequency equation, group velocity equation, spectrum, group velocity curve, steady response