• Title/Summary/Keyword: higher order

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Higher Order Spectra and Their Application to Mechanical Systems (I)-Bispectrum and Anlaysis of QPC- (고차스펙트럼의 기계적 시스템 적용 연구, (1) -바이스펙트럼과 2차 위상결합 해석-)

  • 이준서;차경옥
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.7
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    • pp.278-285
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    • 1999
  • This paper is concerned with the development of useful engineering techniques to detect and anlayse nonlinearities in mechanical systems. The methods developed are based on the concepts of higher order spectra. The study of higher order statistics has been dominated by work on the bispectrum. The bispectrum can be viewed as a decomposition of the third moment(skewness) of a quadratic phase coupling(QPC) can be analyzed by bicoherence function. Finally, the application of these techiques to data from actual mechanical systems will be performed insecond report.

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A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order

  • Araci, Serkan;Acikgoz, Mehmet;Seo, Jong Jin
    • Kyungpook Mathematical Journal
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    • v.54 no.1
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    • pp.131-141
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    • 2014
  • In the present paper, we introduce the new generalization of q-Genocchi polynomials and numbers of higher order. Also, we give some interesting identities. Finally, by applying q-Mellin transformation to the generating function for q-Genocchi polynomials of higher order put we define novel q-Hurwitz-Zeta type function which is an interpolation for this polynomials at negative integers.

Comparative dynamic studies of thick laminated composite shells based on higher-order theories

  • Ganapathi, M.;Patel, B.P.;Pawargi, D.S.;Patel, H.G.
    • Structural Engineering and Mechanics
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    • v.13 no.6
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    • pp.695-711
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    • 2002
  • Here, the dynamic response characteristics of thick cross-ply laminated composite cylindrical shells are studied using a higher-order displacement model. The formulation accounts for the nonlinear variation of the in-plane and transverse displacements through the thickness, and abrupt discontinuity in slope of the in-plane displacements at any interface. The effect of inplane and rotary inertia terms is included. The analysis is carried out using finite element approach. The influences of various terms in the higher-order displacement field on the free vibrations, and transient dynamic response characteristics of cylindrical composite shells subjected to thermal and mechanical loads are analyzed.

HIGHER ORDER SINGULARITIES AND THEIR ENERGETICS IN ELASTIC-PLASTIC FRACTURE (탄소성 균열 문제에서 고차응력특이성과 에너지론)

  • Jun, In-Su;Lee, Yong-Woo;Im, Se-Young
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.384-388
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    • 2001
  • The higher order singularities[1] are systematically examined, and discussed are their complementarity relation with the nonsingular eigenfunctions and their relations to the configurational forces like J-integral and M-integral. By use of the so-called two state conservation laws(Im and Kim[2]) or interaction energy, originally proposed by Eshelby[3] and later treated by Chen and Shield[4], the intensities of the higher order singularities are calculated, and their roles in elasticplastic fracture are investigated. Numerical examples are presented for illustration.

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ACOUSTIC ANALYSIS OF RECTANGULAR SIMPLE EXPANSION CHAMBER WITH CONSIDERATION OF HIGHER ORDER MODE OF INLET/OUTLET (입.출구의 고차모드를 고려한 사각형 단순확장관의 음향해석)

  • 이정환
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.6
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    • pp.748-754
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    • 1999
  • The acoustic performance of reactive type single expansion chamber can be calculated theoretically by plane wave theory. But higher order modes should be considered to widen the frequency range. Munjal has suggested the method for analyzing the acoustic properties of simple expansion chamber with taking into consideration of higher order mode of inlet/outlet. But his method cannot predict the acoustic properties exactly when the dimensions of inlet/outlet and expansion chamber have not integer multiples. In this paper the new method was suggested to overcome the shortcomings of Munjal's method The predictions by this method were also compared with those by the finite element method.

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Speech/Music Classification Based on the Higher-Order Moments of Subband Energy

  • Seo, Jiin Soo
    • Journal of Korea Multimedia Society
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    • v.21 no.7
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    • pp.737-744
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    • 2018
  • This paper presents a study on the performance of the higher-order moments for speech/music classification. For a successful speech/music classifier, extracting features that allow direct access to the relevant speech or music specific information is crucial. In addition to the conventional variance-based features, we utilize the higher-order moments of features, such as skewness and kurtosis. Moreover, we investigate the subband decomposition parameters in extracting features, which improves classification accuracy. Experiments on two speech/music datasets, which are publicly available, were performed and show that the higher-order moment features can improve classification accuracy when combined with the conventional variance-based features.

Higher Order Quadrilateral Plate Bending Finite Element (고차(高次) 판(板) 사각형(四角形) 유한요소(有限要素))

  • Shin, Young Shik;Shin, Hyun Mook;Kim, Myung Chul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.2
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    • pp.25-32
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    • 1988
  • A formulation of an isoparametric quadrilateral higher-order plate bending finite element is presented. The 8-noded 28-d.o.f. plate element has been degenerated from the three-dimensional continuum by introducing the plate assumptions and considering higher-order in-plane displacement profile. The element characteristics have been derived by the Galerkin's weighted residual method and computed by using the selective reduced integration technique to avoid shear-locking phenomenon. Several numerical examples are given to demonstrate the accuracy and versatility of the proposed quadrilateral higher-order plate bending element over the other existing plate finite elements in both static and dynamic analyses.

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Solution of the Radiation Problem by the B-Spline Higher Order Kelvin Panel Method for an Oscillating Cylinder Advancing in the Free Surface

  • Hong, Do-Chun;Lee, Chang-Sup
    • Journal of Ship and Ocean Technology
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    • v.6 no.1
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    • pp.34-53
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    • 2002
  • Numerical solution of the forward-speed radiation problem for a half-immersed cylinder advancing in regular waves is presented by making use of the improved Green integral equation in the frequency domain. The B-spline higher order panel method is employed stance the potential and its derivative are unknown at the same time. The present numerical solution of the improved Green integral equation by the B-spline higher order Kelvin panel method is shown to be free of irregular frequencies which are present in the Green integral equation using the forward-speed Kelvin-type Green function.

Normalization of Higher Order Spectrum and Analysis of Quadratic Phase Coupling (고차스펙트럼의 정규화 방법과 이차 위상결합 해석)

  • 이준서;김봉각;이원평;차경옥
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1999.05a
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    • pp.235-239
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    • 1999
  • This thesis is concerned with the development of useful engineering techniques to detect and analyze nonlinearities in mechanical systems. The methods developed are based on the concepts of higher order spectra, in particular the bispectrum. The study of higher order statistics has been dominated by work on the bispectrum. The bispectrum can be viewed as a decomposition of the third moment(skewness) of a signal over frequency and as such is blind to symmetric nonlinearities. Initially auto higher order spectra are studied in detail with particular attention being paid to normalization method. Traditional method based on the bicoherence are studied. Under certain conditions, notably narrow band signals, the above normalization method is shown to fail and so a new technique based on prewhitening the signal in the time domain is developed.

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Completeness requirements of shape functions for higher order finite elements

  • Rajendran, S.;Liew, K.M.
    • Structural Engineering and Mechanics
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    • v.10 no.2
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    • pp.93-110
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    • 2000
  • An alternative interpretation of the completeness requirements for the higher order elements is presented. Apart from the familiar condition, $\sum_iN_i=1$, some additional conditions to be satisfied by the shape functions of higher order elements are identified. Elements with their geometry in the natural form, i.e., without any geometrical distortion, satisfy most of these additional conditions inherently. However, the geometrically distorted elements satisfy only fewer conditions. The practical implications of the satisfaction or non-satisfaction of these additional conditions are investigated with respect to a 3-node bar element, and 8- and 9-node quadrilateral elements. The results suggest that non-satisfaction of these additional conditions results in poorer performance of the element when the element is geometrically distorted. Based on the new interpretation of completeness requirements, a 3-node element and an 8-node rectangular element that are insensitive to mid-node distortion under a quadratic displacement field have been developed.