Abstract <p>The controlled motion of mechanical systems is considered. The programmed motion is defined in the form of holonomic constraints. The equations of motion are based on Lagrange equations without requiring the ideality of the imposed constraints. Various laws of motion and constraint reactions are obtained for the model problems.</p>

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On Accounting for Holonomic Constraints in the Derivation of Equations of Motion for Controlled Mechanical Systems

  • E. S. Briskin,
  • L. D. Smirnaya,
  • A. S. Prokopov

摘要

Abstract

The controlled motion of mechanical systems is considered. The programmed motion is defined in the form of holonomic constraints. The equations of motion are based on Lagrange equations without requiring the ideality of the imposed constraints. Various laws of motion and constraint reactions are obtained for the model problems.