Kinematical synthesis of an inversion of the double linked fourbar for morphing wing applications

doi:10.1007/s11465-013-0364-5

Front Mech Eng

2013, Vol. 8

Issue (1) : 17-32 https://doi.org/10.1007/s11465-013-0364-5

RESEARCH ARTICLE

Kinematical synthesis of an inversion of the double linked fourbar for morphing wing applications

J. AGUIRREBEITIA(

), R. AVILéS, I. FERNáNDEZ, M. ABASOLO

Department of Mechanical engineering, ETSI-BILBAO, Vizcaya 48013, Spain

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Abstract

This paper presents the kinematical features of an inversion of the double linked fourbar for morphing wing purposes. The structure of the mechanism is obtained using structural synthesis concepts, from an initial conceptual schematic. Then, kinematic characteristics as instant center of rotation, lock positions, dead point positions and uncertainty positions are derived for this mechanism in order to face the last step, the dimensional synthesis; in this sense, two kinds of dimensional synthesis are arranged to guide the wing along two positions, and to fulfill with the second one some aerodynamic and minimum actuation energy related issues.

Keywords morphing wing structural synthesis dimensional synthesis geometrical kinematics

Corresponding Author(s): AGUIRREBEITIA J.,Email:josu.aguirrebeitia@ehu.es

Issue Date: 05 March 2013

Cite this article:

J. AGUIRREBEITIA,R. AVILéS,I. FERNáNDEZ, et al. Kinematical synthesis of an inversion of the double linked fourbar for morphing wing applications[J]. Front Mech Eng, 2013, 8(1): 17-32.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-013-0364-5
https://academic.hep.com.cn/fme/EN/Y2013/V8/I1/17

Fig.1 Wing morphing concepts (adapted from Ref. [])

Fig.2 Schematic of the morphing wing mechanism.

Fig.3 Actuation fourbar mechanism. (a) Fourbar mechanism; (b) rigid-solid movement; (c) compliant-solid movement; (d) extreme mechanical advantage positions; (e) fully aligned positions

Fig.4 Proposed new actuation mechanism

Fig.5 Kinematic chain and derived mechanisms. (a) Kinematic chain; (b) double linked fourbar; (c) actuation mechanism

Fig.6 Instantaneous center of rotation of the wing (element 8) as rigid element

Fig.7 Position with instantaneous rotation about one of the fixed points

Fig.8 Simple lock position. Element 3 gets locked

Fig.9 Double lock position. Both elements 2 and 3 get locked

Fig.10 Dead point position. Wing element remains locked

Fig.11 Fully aligned positions

Fig.12 Inversion in the fully aligned position

Fig.13 Curvature centers for points and

Fig.14 Instantaneous equivalent fourbar mechanisms

Fig.15 Instantaneous centers of rotation of wing element in uncertainty position

Fig.16 Movement inversion for rigid-solid guidance problem

Fig.17 Fourbar with aligned coupler point. (a) Topology; (b) two position rigid body guidance synthesis

Fig.18 Synthesis of the fourbar with aligned coupler point. (a) Procedure; (b) resulting mechanism in two positions

Fig.19 Change of the center of buoyancy with the orientation of the wing

Fig.20 Synthesis prearrangement. (a) Determination of the center of rotation; (b) relocation of the extreme positions

Fig.21 Synthesis arrangement. (a) Problem data; (b) problem solution

Fig.22 Synthesis arrangement for the example outlined

Fig.23 Solution mechanism

Fig.24 Minimization worksheet for Fourbar I

Fig.25 Three positions for the wing mechanism. (a) Angle of the wing element 0o; (b) angle of the wing element 7.5o; (c) angle of the wing element 15o

Fig.26 Conservation of the instant center of rotation of the wing

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