Accession Number : ADA300866

Title :   A New Treatment of Periodic Systems with Applications to Helicopter Rotor Blade Dynamics.

Descriptive Note : Final rept. 1 Sep 93-31 May 95,

Corporate Author : AUBURN UNIV AL DEPT OF MECHANICAL ENGINEERING

Personal Author(s) : Sinha, Subhash C.

PDF Url : ADA300866

Report Date : 27 JUL 1995

Pagination or Media Count : 6

Abstract : A computational facility, called the "Nonlinear Systems Research Laboratory", totally dedicated to the dynamic analysis and control of linear/nonlinear mechanical systems with periodically varying parameters has been established. The main items include SUN desktop workstations, an IBM 486DX2/66 personal computer, a laser printer and some necessary software. This research equipment is being used to develop new practical computational tools for bifurcation analysis and control of nonlinear dynamical systems which give rise to differential equations with periodic coefficients. These new strategies are applicable to general nonlinear time-periodic systems and can be applied to relatively large-scale problems. Unlike some of the existing techniques, such as perturbation and averaging, these methods would be free from small parameter limitations. The practical significance of this research are being demonstrated through applications of some typical engineering problems including the controller designs for a helicopter blade, a robot undergoing bifurcations and an asymmetric magnetic rotor- bearing systems, among others. The SUN desktop workstations are used to perform the tremendous amount of numerical and symbolic computations required for this research work. The 486 PC and the laser printer are used to produce quality reports, graphs and research papers for proper dissemination of results on time.

Descriptors :   *HELICOPTER ROTORS, *BIFURCATION(MATHEMATICS), *PERIODIC VARIATIONS, COMPUTER PROGRAMS, LINEAR SYSTEMS, VIBRATION, COMPUTERS, ROBOTS, NUMERICAL ANALYSIS, ROTOR BLADES(ROTARY WINGS), LASERS, TRANSFORMATIONS(MATHEMATICS), NONLINEAR SYSTEMS, ASYMMETRY, HELICOPTERS, MAGNETIC DEVICES, ROTORS, MECHANICAL COMPONENTS, PRINTING EQUIPMENT.

Subject Categories : Helicopters
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE