1966-02-01

Application of Distributed System Concepts to Analysis of Bending Vibration 660719

As an alternative to the normal mode approach to the dynamics and controls analysis of flexible aerospace vehicles, the analysis of bending vibration is being studied in terms of the distributed system concepts of propagation and reflection. A relationship is developed between the vibration equation of motion and the propagating wave equation. Transmission matrices, including the effects of shear compliance and rotary inertia, are developed for uniform beam segments. Through a transformation technique, the local state variables are changed to characteristic variables of the beam permitting factorization of the solution into propagation and end-effect matrices. The technique is applied to a cascaded or step beam structure and a beam structure combined with a damped spring mass sloshing model. The advantages and disadvantages of the distributed parameter transmission matrix approach are investigated and the use of this approach for the dynamic analysis of aerospace vehicles is evaluated.

SAE MOBILUS

Subscribers can view annotate, and download all of SAE's content. Learn More »

Access SAE MOBILUS »

Members save up to 18% off list price.
Login to see discount.
Special Offer: Download multiple Technical Papers each year? TechSelect is a cost-effective subscription option to select and download 12-100 full-text Technical Papers per year. Find more information here.
We also recommend:
TECHNICAL PAPER

Development of a Macroscopic Yield Function for Polymeric Foams

2004-01-0465

View Details

TECHNICAL PAPER

Effects of Boundary Conditions on the Natural Modes of Transmission Ring Gear Structure

2001-01-1416

View Details

TECHNICAL PAPER

Radial Dual Mass Flywheel

950893

View Details

X