抄録
In this paper, mathematical expressions which include the terms of internal viscosity and air drag force are derived for two dimensional beam on the basis of Absolute Nodal Coordinate Formulation (ANCF). It is shown that some assumptions about the beam relax the difficulty in expressing the air drag force term and consequently the term can be expressed in symbolic form. Dynamic stiffening effect which includes large rotation and large deformation is analyzed numerically by the constructed model. In order to validate the mathematical expression of internal viscosity and air drag force not only qualitatively but also quantitatively, data of the numerical analyses are compared with experimental data about the dynamic stiffening effects of the two dimensional beam in the vacuum and atmosphere respectively.