Analytical model and stability analysis of the leading edge spar of a passively morphing ornithopter wing.

Abstract:

:This paper presents the stability analysis of the leading edge spar of a flapping wing unmanned air vehicle with a compliant spine inserted in it. The compliant spine is a mechanism that was designed to be flexible during the upstroke and stiff during the downstroke. Inserting a variable stiffness mechanism into the leading edge spar affects its structural stability. The model for the spar-spine system was formulated in terms of the well-known Mathieu's equation, in which the compliant spine was modeled as a torsional spring with a sinusoidal stiffness function. Experimental data was used to validate the model and results show agreement within 11%. The structural stability of the leading edge spar-spine system was determined analytically and graphically using a phase plane plot and Strutt diagrams. Lastly, a torsional viscous damper was added to the leading edge spar-spine model to investigate the effect of damping on stability. Results show that for the un-damped case, the leading edge spar-spine response was stable and bounded; however, there were areas of instability that appear for a range of spine upstroke and downstroke stiffnesses. Results also show that there exist a damping ratio between 0.2 and 0.5, for which the leading edge spar-spine system was stable for all values of spine upstroke and downstroke stiffnesses.

journal_name

Bioinspir Biomim

authors

Wissa A,Calogero J,Wereley N,Hubbard JE Jr,Frecker M

doi

10.1088/1748-3190/10/6/065003

subject

Has Abstract

pub_date

2015-10-26 00:00:00

pages

065003

issue

6

eissn

1748-3182

issn

1748-3190

journal_volume

10

pub_type

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