Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (6): 757-764.

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SOME THEOREMS FOR DETERMINING THE DEFINITENESS AND CHANGEABILITY OF SIGN OF FUNCTIONS AND THE APPLICATION TO THE CONDITIONAL STABILITY OF THE MOTION OF THE AXIS OF A SLEEPING TOP

Ge Zheng-ming   

  1. Teaching and Research Section of General Mechanics, Department of Engineering Mechanics, Shanghai Jiao-tong University
  • Received:1980-07-21 Online:1981-11-18 Published:1981-11-18

Abstract: This paper gives some theorems for determining the definiteness and changeability of sign of functions as well as the application to the axis of a sleeping top. The necessary and sufficient condition of the conditional stability of the motion is obtained, which coincides with that of the stability of nutation angle and also with that of the stability of total variables in the equations of motion.

Key words: beam, piezoelectric actuator/sensor, piezoelectric elasticity

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