Multi-Pendulum Rig: Proof of Mode Localization and Laboratory Demonstration Tool

Abstract

The development of the design and fabrication for a five degree of freedom rig of symmetrically coupled pendula for testing and corroborating mode localization theory is described. The background theory on mode localization and the theory of the modal responses of the test rig are briefly covered. Instrumentation and data-analysis techniques are discussed. Test results corroborating mode localization effects achieved by perturbing the system symmetry are presented. The serendipitous capability of the system to be used as a teaching device in vibration or dynamic system analysis classes, using TV tapes of the five separately excited natural modes (by initial conditions or forcing function frequency) is also demonstrated.