DYNAMIC STABILITY OF A PENDULUM UNDER COEXISTENCE OF PARAMETRIC AND FORCED EXCITATION.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1967
- Accession Number
- AD0665119
Entities
People
- Chandramohan K. Chhatpar
- John Dugundji
Organizations
- Massachusetts Institute of Technology