Accession Number : AD0665119


Title :   DYNAMIC STABILITY OF A PENDULUM UNDER COEXISTENCE OF PARAMETRIC AND FORCED EXCITATION.


Descriptive Note : Scientific Interim rept.,


Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE AEROELASTIC AND STRUCTURES RESEARCH LAB


Personal Author(s) : Chhatpar ,Chandramohan K. ; Dugundji,John


Report Date : DEC 1967


Pagination or Media Count : 109


Abstract : As background for the dynamic stability of structures, a pendulum undergoing combined parametric and forced excitation is examined. The behavior near the second instability region of the Mathieu equation, omega approximately equal to omega sub N, is studied in detail. Theoretically, steady-state and complete transient solutions are developed here for linear and nonlinear theory. Experimentally, the pendulum was excited and both transient and steady-state records were obtained. The overall response indicated two main resonance regions: one where forced excitation was predominant near omega approximately equal to omega sub N, and another for parametric excitation near omega approximately equal to 2 omega sub N. Some other peculiar steady-state responses were also noted.


Descriptors :   (*STRUCTURES, STABILITY), ELASTIC PROPERTIES, PERIODIC VARIATIONS, AEROELASTICITY, LOADS(FORCES), OSCILLATION, STRUCTURAL PROPERTIES, MATHEMATICAL ANALYSIS, NONLINEAR SYSTEMS, RESPONSE, STABILITY, DAMPING, DYNAMICS, SIMULATION, RESONANCE


Subject Categories : STRUCTURAL ENGINEERING AND BUILDING TECHNOLOGY
      MECHANICS


Distribution Statement : APPROVED FOR PUBLIC RELEASE