INTEGRAL METHODS IN DYNAMICS,
Abstract
New methods (based on the application of integral equations) of investigating the dynamics of systems are proposed. Complicated problems in machine dynamics are solved by means of these methods, and special attention is paid to the analysis of dynamics phenomena in machinery. The analysis of the transient processes here discussed includes the construction of diagrams, i.e., the obtaining of numerical results, and is illustrated by detailed sample solutions. Special transient-process functions are set up, and their values for various magnitudes of the argument and parameters are given in tables. Problems in the theory of systems optimal with respect to damping are examined, and aperiodicity criterial of vibrational processes are given which can be used in designing automatic-control systems. The dynamic minimax problem (selection of a system parameters such that the maximum coordinate deviation attains its minimum value) is solved by numerical methods; the integral methods used make it possible to obtain relatively simple solutions. The proposed methods can be applied to automatic-control problems in determining the optimum parameters of a system with the lowest sensitivity to vibration; these methods give satisfactory results in solving the majority of optimum problems in dynamics of transient processes in modern machinery. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 13, 1970
- Accession Number
- AD0706774
Entities
People
- A. N. Golubentsev
Organizations
- National Air and Space Intelligence Center