3-D Theory versus 2-D approximate theory of free orthotropic (isotropic) plate and shell vibrations, part 2: numerical algorithms and analysis

摘要

The three-dimensional theory of orthotropic and isotropic plates (with and without concentrated masses) vibrations is used to estimate a validity of the two-dimensional theories application range. First, a general analytical approach is presented, and then the algorithms for numerical calculations are developed. Many examples obtained in the form of tables and drawings support the considerations and also some practically valid conclusions applied to isotropic and transversal-isotropic plates are derived.