Shulgin, M.F. (1958) About Some Differential Equations of Analytical Dynamics and Their Integration. The Central Asian State University Press, Tashkent, 73-94.

has been cited by the following article:

• TITLE: To Problem of the Rewinding of the Tape with Automatically Adjustable Influences

  AUTHORS: Muhsin Kh. Teshaev

  KEYWORDS: Rewinding of Tape, Servo-Constraint, Speed, Force of Reaction of Servo-Constraints, Parametrical Clearing, Stability, The Digital Watching System, Full System of the Equations

  JOURNAL NAME: Applied Mathematics, Vol.5 No.15, August 8, 2014

  ABSTRACT: In this work the problem of rewinding of a tape with constant speed is considered. Considering that drums represent bodies of variable weight, the equations of motion of system are formulated. Taking into account parametrical clearing of system of servo-constraints, the structure of force of reaction of servo-constraints which provides steady realization of servo-constraints (a constancy of linear speed of a tape) is defined. For realization of servo-constraints, it is offered to build digital watching system (DWS) and the full system of equations of DWS is formed. Laws of change of the operating influences, systems providing stability under the relation of the variety defined of servo-constraints are defined.