Dynamics of shells, plates, and rods is an engineering problem, which involves complicated mathematics due to the fourth-order partial differential equations that describe flexural vibrations. As a result there are two types of books related to this problem: one is written by engineers or physicists and the other by mathematicians. The reviewed book is clearly written by a mathematician, and, in my view, is written for mathematicians who specialize in mechanics and structural dynamics.
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Le et al. (2001) studied this question.