Accession Number : ADA181735

Title :   The Effect of Nonlinearities on Flexible Structures.

Descriptive Note : Annual rept. 30 Apr 86-30 Apr 87,

Corporate Author : VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG

Personal Author(s) : Nayfeh,A H ; Mook,D T

PDF Url : ADA181735

Report Date : 30 Apr 1987

Pagination or Media Count : 9

Abstract : Experimental-theoretical studies have been conducted on the influence of nonlinearities on flexible structures in the presence of either an external or a parametric excitation. A single-degree-of-freedom system with quadratic and cubic nonlinearities under the influence of a harmonic parametric excitation was studied using the method of multiple scales and digital-and analog-computer simulations. A global bifurcation diagram was obtained showing the different possible attractors (point, limit cycle, chaotic attractors). For small excitation amplitudes, the perturbation results are in excellent agreement with the digital-and analog-computer simulations. For moderate to large excitation amplitudes, the accuracy of the perturbation solution is questionable and only digital -and analog- computer simulations were used. The results are in full agreement. Keywords: Nonlinear oscillations, Flexible structures, Resonances, Attractors, Bifurcations.

Descriptors :   *FLEXIBLE STRUCTURES, *OSCILLATION, AMPLITUDE, CYCLES, DEGREES OF FREEDOM, EXCITATION, HARMONICS, NONLINEAR SYSTEMS, ACCURACY, PARAMETRIC DEVICES, PERTURBATIONS, SCALE, SOLUTIONS(GENERAL), DIGITAL SIMULATION, ANALOG SIMULATION, RESONANCE

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE