Withdrawal: Determination of Experimental/Numerical Errors on Identification of Flutter Derivatives for a NACA 0020 Airfoil

2020 ◽  
Author(s):  
Mohammad Jafari ◽  
Fangwei Hou ◽  
Amin Shirazi ◽  
Mostafa Hassanalian
Keyword(s):  
Numerical Errors ◽  
Flutter Derivatives

Determination of flutter derivatives for the great belt bridge

1992 ◽  
Vol 41 (1-3) ◽  
pp. 153-164 ◽  
Author(s):  
N.K. Poulsen ◽  
A. Damsgaard ◽  
T.A. Reinhold
Keyword(s):  
Great Belt ◽  
Flutter Derivatives

scholarly journals A Modified Kwee van Woerden Algorithm with Reliable Error-Estimates

2020 ◽  
Author(s):  
Hans J. Deeg
Keyword(s):  
Error Estimates ◽  
Fundamental Problem ◽  
Space Mission ◽  
Original Method ◽  
External Input ◽  
Light Curves ◽  
Improved Method ◽  
Timing Error ◽  
Numerical Errors

The Kwee van Woerden (KvW) method for the determination of eclipse minimum times has been a staple in eclipsing binary research for decades, due its simplicity and independence of external input parameters. However, its estimates of the timing error have been known to be of low reliability. During the analysis of very precise photometry of CM Draconis eclipses from TESS space mission data, KvW’s original equation for the timing error estimate produced numerical errors, which evidenced a fundamental problem in this equation. This contribution introduces an improved way to calculate the timing error with the KvW method. A code that implements this improved method, together with several further updates over the original method is presented as well. An example application on the CM Draconis light curves from TESS is given, where we show that its timing error estimates of about 1 second are in excellent agreement with error estimates obtained by other means.

scholarly journals A study of periodic potentials based on quadratic splines

2018 ◽  
Vol 29 (08) ◽  
pp. 1850067 ◽  
Author(s):  
M. Gadella ◽  
L. P. Lara
Keyword(s):  
Schrödinger Equation ◽  
Variational Method ◽  
Schrodinger Equation ◽  
Algebraic Equations ◽  
Energy Bands ◽  
One Dimensional ◽  
Numerical Errors ◽  
Periodic Potentials ◽  
Quadratic Splines

In this paper, we discuss a method based on a segmentary approximation of solutions of the Schrödinger equation by quadratic splines, for which the coefficients are determined by a variational method that does not require the resolution of complicated algebraic equations. The idea is the application of the method to one-dimensional periodic potentials. We include the determination of the eigenvalues up to a given level, and therefore an approximation to the lowest energy bands. We apply the method to concrete examples with interest in physics and discussed the numerical errors.

scholarly journals Guaranteed detection of the singularities of 3R robotic manipulators

2016 ◽  
Vol 7 (1) ◽  
pp. 31-38
Author(s):  
R. Benoit ◽  
N. Delanoue ◽  
S. Lagrange ◽  
P. Wenger
Keyword(s):  
Interval Analysis ◽  
Collision Detection ◽  
Robotic Manipulators ◽  
Joint Space ◽  
Detection Algorithm ◽  
Numerical Errors ◽  
Points Of Interest ◽  
Kinematic Behaviour ◽  
Kinematic Properties

Abstract. The design of new manipulators requires the knowledge of their kinematic behaviour. Important kinematic properties can be characterized by the determination of certain points of interest. Important points of interest are cusps and nodes, which are special singular points responsible for the non-singular posture changing ability and for the existence of voids in the workspace, respectively. In practice, numerical errors should be properly tackled when calculating these points. This paper proposes an interval analysis based approach for the design of a numerical algorithm that finds enclosures of points of interest in the workspace and joint space of the studied robot. The algorithm is applied on 3R manipulators with mutually orthogonal joint axes. A pre-processing collision detection algorithm is also proposed, allowing, for instance, to check for the accessibility of a manipulator to its points of interest. Through the two proposed complementary algorithms, based on interval analysis, this paper aims to provide a guaranteed way to obtain a broad characterisation of robotic manipulators.

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