Dynamic simulation of helicopter airborne maneuvers with numerical integration scheme in Lie-group setting

Terze, Zdravko and Vrdoljak, Milan and Zlatar, Dario (2013) Dynamic simulation of helicopter airborne maneuvers with numerical integration scheme in Lie-group setting. = Dynamic simulation of helicopter airborne maneuvers with numerical integration scheme in Lie-group setting. In: ECCOMAS Thematic Conference on Multibody Dynamics 2013, 01-04.07.2013., Zagreb; Croatia.

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Abstract

Dynamic simulation procedures of the aircraft 3D motion need robust and efficient integration methods in order to allow for reliable (and possibly real-time) simulation missions. Derivation of such integration schemes in coordinate-free Lie-group setting is especially efficient since Lie-group dynamical models operate directly on SO(3) rotational matrices and angular velocities, avoiding local rotation parameters and additional algebraic constraints as well as kinematical differential equations. These integration characteristics of the coordinate-free formulations should be especially beneficial for the flight vehicle simulation missions since a realization of the aircraft complex 3D maneuvers often requires numerical forward dynamics that includes complete 3D rotation domain. In such cases, the utilization of the 'standard' vector-space-based modeling procedures (with the local rotation parameters) leads toward kinematical singularities and re-parameterization of the rotation domain, which requires further computational burden. Along this line, a numerical integration scheme in Lie-group settings for the helicopter forward dynamics is presented and discussed in the paper. The presented formulation provides a compact integration platform for smooth flight vehicle dynamics numerical integration, independently of the character of the 3D rotations involved and without introducing additional 'artificial' algebraic constraints.

Item Type: Conference or Workshop Item (Lecture)
Keywords (Croatian): Algebraic constraints; Computational burden; Integration platform; Numerical integration scheme; Numerical integrations; Rotation parameters; Rotational matrices; Simulation procedures; Algebra; Differential equations; Flight simulators; Free flight; Helicopters; Integration; Lie groups; Three dimensional; Rotation
Subjects: NATURAL SCIENCES > Mathematics
TECHNICAL SCIENCE > Mechanical Engineering
TECHNICAL SCIENCE > Aviation, rocket and space technology
Divisions: 1300 Department of Aeronautical Engineering > 1320 Chair of Aircraft Dynamics
Indexed in Web of Science: No
Indexed in Current Contents: No
Citations SCOPUS: 0 (12.5.2015.)
Date Deposited: 12 May 2015 12:42
Last Modified: 12 May 2015 12:42
URI: http://repozitorij.fsb.hr/id/eprint/4013

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