Comments to comments on 'New exact solutions for free vibrations of thin orthotropic rectangular plates'

摘要

Thank Arian Bahrami et al. for their comments on our paper [1], and their conclusion is correct that the computational results in [1,3] are not exact. The concept of exact solutions is presented first before interpreting our method [1]. Exact solutions are analytical solutions for which frequency equations are in explicit and transcendental form @@[2]. Exact solutions satisfy DEs and BCs exactly, there is no truncated error in calculation which means exact solutions must be in closed form and can't be in series expansion form. In the following, a few words are given to our method [1]: (ⅰ) the general solution W(x,y) = Φ(x)ψ(y) satisfies characteristic differential Eq. (5) exactly, because the four eigenvalue relations (A3)-(A6) were obtained from Eq.