Harmonic analysis of periodic discontinuous functions (new method). Part II—Polynomial functions

1979 ◽  
Vol 67 (6) ◽  
pp. 953-954
Author(s):  
M.A. Slonim
2005 ◽  
Vol 20 (2) ◽  
pp. 1235-1239 ◽  
Author(s):  
J.-Z. Yang ◽  
C.-S. Yu ◽  
C.-W. Liu
Keyword(s):  

2015 ◽  
Vol 733 ◽  
pp. 906-909
Author(s):  
Lin Lin ◽  
Jia Jin Qi ◽  
Xiao Huan Wu ◽  
Hong Xin Ci ◽  
Shang Qun Yang

Harmonic analysis is the foundation of harmonic control and compensation. The voltage signals with harmonic component is difficult to analysis under noise environment. This paper proposed a new approach for harmonic analysis based on Hyperbolic S-transform. Firstly, the affection for harmonic analysis by different characters of the hyperbolic window including forward-taper parameter and backward-taper parameter is compared. Secondly, the modified Hyperbolic S-transform with optimal characters is used for harmonic analysis. Finally, the analysis result of the new approach is compared with other methods. Simulation results show the effectiveness and advantages of the new method. It is very satisfied for harmonic analysis under high noise environments.


Author(s):  
Massimiliano Sanvito ◽  
Luisa Coscarelli ◽  
Emanuel Pesatori ◽  
Giorgio Turozzi ◽  
Paolo Pennacchi

The description of the dynamic behavior of a Pelton runner during normal operation is getting more and more of interest in the design of such kind of turbines. In fact, the aim to increase the performance imposes runner designs that can become critical from a structural point of view. Each bucket is subjected to a certain number of impulses per revolution corresponding to the number of nozzles. This high frequency load could lead to a great dynamic response of the runner if some kind of resonance takes place. For these reasons, a complex harmonic analysis is to be performed during the runner project, in order to avoid any crack arising during operation. This paper describes a new method to obtain the dynamic response due to the impulse load. A Pelton runner was modeled and simulated by using a FEM code (ANSYS) and a CFD (CFX) code in order to obtain its complete dynamic behavior. By using the CFD code the complete pressure profile was derived at any point of the bucket and at any time. Whilst by using the FEM code a complex harmonic analysis was computed. Combining the information of these two simulations the behavior of the stress versus time can be derived, theoretically at any point of the runner. The results of these analysis were compared with some experimental data giving a pretty good matching.


2015 ◽  
Vol 756 ◽  
pp. 556-561
Author(s):  
Оleg V. Zakharov ◽  
Albert V. Korolev ◽  
Andrew A. Korolev ◽  
Andrew V. Kochetkov

A new method of the data measurement and processing for the centerless roundness measuring of components with the use of corrective adjustment is proposed. There are scientific explanations for mathematical simulation which includes numerical methods and harmonic analysis and also considers the change of the contact points of the product and prism faces during rotation. The methodical error and the evaluation of the centerless roundness measurements are determined according to the practical measurements and the model analysis.


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