Development and Application of a Functional Analysis Method for Aero Engine Requirement Management

Author(s):  
Yan Ji ◽  
Zhenyu Sun ◽  
Zhimin Li
2019 ◽  
Vol 47 (7) ◽  
pp. 3141-3147 ◽  
Author(s):  
Pengbo Wang ◽  
Houxiu Xiao ◽  
Liang Li ◽  
Olgierd Dumbrajs

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Zhi Wang ◽  
Zheng-Wen Long ◽  
Chao-Yun Long ◽  
Wei Zhang

The Duffin-Kemmer-Petiau oscillator for spin 0 particle in noncommutative plane is analyzed and the energy eigenvalue of the system is obtained by employing the functional analysis method. Furthermore, the thermodynamic properties of the noncommutative DKP oscillator are investigated via numerical method and the influence of noncommutative space on thermodynamic functions is also discussed. We show that the energy spectrum and corresponding thermodynamic functions of the considered physical systems depend explicitly on the noncommutative parameterθwhich characterizes the noncommutativity of the space.


2013 ◽  
Vol 712-715 ◽  
pp. 2487-2492
Author(s):  
Jian Feng Zhou

In this paper, we introduce a class of vector-valued four-dimensional wavelet packets according to a dilation matrix, which are generalizations of univariate wavelet packets. The defini -tion of biorthogonal vector four-dimensional wavelet packets is provided and their biorthogonality quality is researched by means of time-frequency analysis method, vector subdivision scheme and functional analysis method. Three biorthogonality formulas regarding the wavelet packets are established. Finally, it is shown how to draw new Riesz bases of space from these wavelet packets. The sufficient condition for the existence of four-dimensional wavelet packets is established based on the multiresolution analysis method.


2012 ◽  
Vol 487 ◽  
pp. 894-897
Author(s):  
Wei Qiang Zhao ◽  
Yong Xian Liu ◽  
Mo Wu Lu ◽  
Qing Jun Guo

This paper introduces the FEA method for a certain type of aero-engine turbine blade and makes a vibration characteristics analysis to this aero-engine turbine blade based on this method. The vibration characteristic of this aero-engine turbine blade is studied and the natural modal of the turbine blade is calculated based on UG software. The first six natural frequencies and mode shapes are given. According to the analysis results the dynamic characteristics of the blade are discussed. The analysis method and results in this paper can be used for further study on optimal design and vibration safety verification for the blade.


2012 ◽  
Vol 461 ◽  
pp. 868-871 ◽  
Author(s):  
Qing Ge Zhang

Materials science is an interdisciplinary field applying the properties of matter to various areas of science and engineering. In this article, the notion of orthogonal nonseparable five-variant wavelet packages is presented. A novel approach for constructing them is presented by iteration method and functional analysis method. A feasible approach for constructing two-directional orthogonal wavelet packs is developed. The orthogonality property of five-variant wavelet packs is discussed. Three orthogonality formulas concerning these wavelet packs are estabished. A constructive method for affine frames of is proposed. The sufficient condition for the existence of a class of affine pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis.


Author(s):  
Timur Matiev

Introduction. The article attempts to analyze the attitude of the Mountainous government in exile and the Union of Mountaineers of the North Caucasus and Dagestan in a broader sense to the events of the Civil War in the North Caucasus in 1919–1920 based on local printing. Methods and materials. The main emphasis is placed on the analysis of materials of “Volny Gorets” newspaper of the Mountainous government. The authors use the problemchronological, historical-systemic method and the system-functional analysis method. Analysis. The article analyzes the attitude of the mountainous democrats, expressed on the pages of the newspaper, to such aspects of the Civil War as the union of mountain peoples with the Bolsheviks, the assessment of the white and red plans for the mountain regions, the real policy of the warring parties in 1917–1920, the prospects for a confederative structure of the Caucasus. The split of mountain unity by the Bolsheviks is considered by their prosecutors the main reason why the North Caucasus was not able to resist the Denikin invasion. Results. “Volny Gorets” publication is an important and extremely informative source on the events in the North Caucasus during the Civil War of 1919–1920. The newspaper’s publications are both purely informational and analytical. The analysis given by the newspaper’s authors is deep and sober. The events of the civil war in the North Caucasus attracted the closest attention of the editors and, on the whole, remained the priority topic of publications in each issue of “Volny Gorets” during 1919–1920. The analysis of the publication is relatively free from ideological press and bias that distinguishes both purely “white” and “red” publications of that time.


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Sakhri Aicha ◽  
Ahcene Merad

PurposeThis study describes the applicability of the a priori estimate method on a nonlocal nonlinear fractional differential equation for which the weak solution's existence and uniqueness are proved. The authors divide the proof into two sections for the linear associated problem; the authors derive the a priori bound and demonstrate the operator range density that is generated. The authors solve the nonlinear problem by introducing an iterative process depending on the preceding results.Design/methodology/approachThe functional analysis method is the a priori estimate method or energy inequality method.FindingsThe results show the efficiency of a priori estimate method in the case of time-fractional order differential equations with nonlocal conditions. Our results also illustrate the existence and uniqueness of the continuous dependence of solutions on fractional order differential equations with nonlocal conditions.Research limitations/implicationsThe authors’ work can be considered a contribution to the development of the functional analysis method that is used to prove well-positioned problems with fractional order.Originality/valueThe authors confirm that this work is original and has not been published elsewhere, nor is it currently under consideration for publication elsewhere.


2018 ◽  
Vol 33 (25) ◽  
pp. 1850146 ◽  
Author(s):  
S. Sargolzaeipor ◽  
H. Hassanabadi ◽  
W. S. Chung

In this work, we study the Dirac equation and Dirac harmonic oscillator in one-dimensional via the Dunkl algebra. By using Dunkl derivative, we solve the momentum operator and Hamiltonian that include the reflection symmetry. Based on the concept of the Wigner–Dunkl algebra and the functional analysis method, we have obtained the energy eigenvalue equation and the corresponding wave function for Dirac harmonic oscillator and Dirac equation, respectively. It is shown all results in the limit state satisfied what we had expected before.


2011 ◽  
Vol 219-220 ◽  
pp. 496-499
Author(s):  
Guo Xin Wang ◽  
De Lin Hua

The frame theory has been one of powerful tools for researching into wavelets. In this article, the notion of orthogonal nonseparable quarternary wavelet wraps, which is the generalizati- -on of orthogonal univariate wavelet wraps, is presented. A novel approach for constructing them is presented by iteration method and functional analysis method. A liable approach for constructing two-directional orthogonal wavelet wraps is developed. The orthogonality property of quarternary wavelet wraps is discussed. Three orthogonality formulas concerning these wavelet wraps are estabished. A constructive method for affine frames of L2(R4) is proposed. The sufficient condition for the existence of a class of affine pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramid decomposition scheme is established based on such a generalized multiresolution structure.


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