DETERMINATION AND ANIMATION OF MACHINERY RIGID BODY OPERATING DEFLECTION SHAPES WITH MATLAB

ABSTRACT. Many times engineers want to animate an operating deflection shapes (ODS) model of a machine with more points then have been actually measured. It makes for a more realistic looking model to clarify the motions. For frequencies below the first mode frequency of the machine housing, it is reasonable to assert that the machine component, e. g., a motor, pump, generator, moves a rigid body. In this frequency range, each rigid body has three centroidal linear and angular accelerations, velocities, or displacements. These can be determined ideally with only six motion measurements. The angular motions will be small and thus commutative. This allows one to calculate the motions of every point in the rigid body. This paper presents a method of measuring and computing the six centroidal motion components for each rigid body, and building on previous work on doing ODS with MA TLAB, shows how to calculate, draw, and animate the rigid body motions in MATLAB