A NEW METHOD OF ELIMINATION RIGID-BODY MODE OF THE UN-DAMPED LINEAR POSITIVE SEMI-DEFINITE VIBRATION SYSTEM

摘要

Since the dynamical differential equation has completeness for representation of dynamical behaviour of vibration system, it is reasonable that the method for elimination rigid-body mode should be deduced from the dynamical differential equation. The conclusion that the un-damped linear positive semi-definite free vibration system has three basic dynamical attributes of the inner inertial force conservation, vibration momentum conservation and centroid conservation was obtained, and a new method was proposed and proved. Compared with the traditional methods, the proposed one has simpler rule and higher computational efficiency, which is applicable to theory illation, computer programming and numerical calculation.