scholarly journals A rationalized Newtonian mechanics through consideration on the relativity of space (2nd report, Generalization for curvilinear moving coordinate systems)

1985 ◽  
Vol 51 (470) ◽  
pp. 2537-2545
Author(s):  
Akira URUSHIHARA
Keyword(s):  
Newtonian Mechanics ◽  
Coordinate Systems ◽  
Moving Coordinate

Assembly of Finite‐Element Helicopter Subsystems with Large Relative Rotations

1990 ◽  
Vol 35 (2) ◽  
pp. 60-68
Author(s):  
Jon‐Shen Fuh ◽  
Brahmananda Panda ◽  
David A. Peters
Keyword(s):  
Finite Element ◽  
Rigid Body ◽  
Large Angle ◽  
Finite Element Models ◽  
Coordinate Systems ◽  
Large Rotations ◽  
Finite Element Procedure ◽  
Moving Coordinate ◽  
Rigid Body Motions ◽  
Small Rotation

A general finite‐element procedure is presented for modeling rotorcraft undergoing elastic deformations in addition to large rigid body motions with respect to inertial space. Special attention is given to the coupling of the rotor and fuselage subsystems subject to large relative rotations. Initially, the rotor and fuselage subsystems are assembled separately as small‐rotation finite‐element models in a moving coordinate system. In order to handle large rigid body rotations, the coordinate systems are tied to the structure using one of several alternate constraint methods. Finally, the equations which allow large rotations are constrained together using a rotating to nonrotating transformation which allows rotor azimuth angle as a degree of freedom. The resulting system of equations, which has not been implemented, is applicable to both helicopter trim and large angle maneuver analyses.

scholarly journals A Geometric Aspect of the Two-Parameter Planar Lorentzian Motions

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Gülsüm Yeliz Şentürk ◽  
Salim Yüce
Keyword(s):  
Support Function ◽  
Polar Axis ◽  
Coordinate Systems ◽  
Geometric Aspect ◽  
Moving Coordinate ◽  
Two Parameter

We examined the moving coordinate systems, the polar axes, the density invariance of the polar axis transformation, and the curve plotter points and the support function of the two-parameter planar Lorentzian motion. Furthermore, we were concerned with the determination of the motion using the polar axes and analyzed the motion when the density of the polar axes is zero.

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