This paper deals with flutter due to gas flow of a uniform and homogeneous beam with shear deformation and rotary inertia effects taken into account. It utilizes the truncated, consistent Timoshenko–Ehrenfest beam model in contrast to the original Timoshenko–Ehrenfest equations. Omission of the fourth order derivative term in the governing differential equation of the original equations of Timoshenko and Ehrenfest is shown to be more consistent than retaining it as is done in the original Timoshenko–Ehrenfest set. The original Timoshenko–Ehrenfest equations are exposed in almost all textbooks published after 1921. However, this paper shows that these original equations are unnecessarily overcomplicated, and simpler set is consistent. This truncation significantly simplifies the analytical and numerical analyses considerably and agrees with the principle of parsimony, i.e. the most acceptable explanation of a phenomenon is the simplest, involving the fewest entities and assumptions. The critical flutter velocities are compared with the results obtained by using the original set of Timoshenko–Ehrenfest equations.

本文考虑了均一且均匀的光束的气流引起的颤动，并考虑了剪切变形和旋转惯性效应。与原始的Timoshenko-Ehrenfest方程相比，它利用了截断的，一致的Timoshenko-Ehrenfest光束模型。季莫申科和埃伦菲斯特原始方程的控制微分方程中的四阶导数项的遗漏显示出比保留原始季莫申科-埃伦菲斯特集合中的四阶导数项更一致。最早的季莫申科-埃伦菲斯特方程式在1921年以后出版的几乎所有教科书中都有介绍。但是，本文表明，这些原始方程式不必要地过于复杂，而且更简单的设置是一致的。这种截断大大简化了分析和数值分析，并符合简约性原则，即，对现象的最可接受的解释是最简单的，涉及最少的实体和假设。将临界颤振速度与使用Timoshenko-Ehrenfest原始方程组获得的结果进行比较。