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000725801 020__ $$a9783319123912$$qelectronic book
000725801 020__ $$a3319123912$$qelectronic book
000725801 020__ $$z9783319123905
000725801 0247_ $$a10.1007/978-3-319-12391-2$$2doi
000725801 035__ $$aSP(OCoLC)ocn904123047
000725801 035__ $$aSP(OCoLC)904123047
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000725801 049__ $$aISEA
000725801 050_4 $$aQA427
000725801 08204 $$a003/.75$$223
000725801 1001_ $$aJing, Xingjian,$$eauthor.
000725801 24510 $$aFrequency domain analysis and design of nonlinear systems based on Volterra series expansion$$h[electronic resource] :$$ba parametric characteristic approach /$$cXingjian Jing, Ziqiang Lang.
000725801 264_1 $$aCham :$$bSpringer,$$c2015.
000725801 300__ $$a1 online resource (xv, 331 pages) :$$billustrations.
000725801 336__ $$atext$$btxt$$2rdacontent
000725801 337__ $$acomputer$$bc$$2rdamedia
000725801 338__ $$aonline resource$$bcr$$2rdacarrier
000725801 4901_ $$aUnderstanding Complex Systems,$$x1860-0832
000725801 4901_ $$aSpringer complexity
000725801 504__ $$aIncludes bibliographical references.
000725801 5050_ $$a1 Introduction.- 2 The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems -- 3 Output Frequency Characteristics of Nonlinear Systems.- 4 Parametric Characteristic Analysis (PCA).- 5 The Parametric Characteristics of the GRFRs and the Parametric Characteristics Based Analysis.- 6 The Parametric Characteristics of Nonlinear Output Spectrum and Applications.- 7 The Parametric Characteristics Based Output Spectrum Analysis.- 8 Determination of Nonlinear Output Spectrum Based on its Parametric Characteristics -- Some Theoretical Issues -- 9 Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design.- 10 Using Nonlinearity for Output Vibration Suppression: An Application Study -- 11 Mapping from Parametric Characteristics to the GFRFs and Output Spectrum -- 12 Nonlinear Influence in the Frequency Domain: Alternating Series.- 13 Magnitude Bound Characteristics of Nonlinear Frequency Response Functions -- 14 Parametric Convergence Bounds of Volterra-Type Nonlinear Systems -- 15 Summary and Overview.- References. 2 The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems -- 3 Output Frequency Characteristics of Nonlinear Systems.- 4 Parametric Characteristic Analysis (PCA).- 5 The Parametric Characteristics of the GRFRs and the Parametric Characteristics Based Analysis.- 6 The Parametric Characteristics of Nonlinear Output Spectrum and Applications.- 7 The Parametric Characteristics Based Output Spectrum Analysis.- 8 Determination of Nonlinear Output Spectrum Based on its Parametric Characteristics -- Some Theoretical Issues -- 9 Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design.- 10 Using Nonlinearity for Output Vibration Suppression: An Application Study -- 11 Mapping from Parametric Characteristics to the GFRFs and Output Spectrum -- 12 Nonlinear Influence in the Frequency Domain: Alternating Series.- 13 Magnitude Bound Characteristics of Nonlinear Frequency Response Functions -- 14 Parametric Convergence Bounds of Volterra-Type Nonlinear Systems -- 15 Summary and Overview.- References.
000725801 506__ $$aAccess limited to authorized users.
000725801 520__ $$aThis book is a systematic summary of some new advances in the area of nonlinear analysis and design in the frequency domain, focusing on the application oriented theory and methods based on the GFRF concept, which is mainly done by the author in the past℗ℓ8 years. The main results are formulated uniformly with a parametric characteristic approach, which provides a convenient and novel insight into nonlinear influence on system output response in terms of characteristic parameters and thus facilitate nonlinear analysis and design in the frequency domain. ℗ℓThe book℗ℓstarts with a brief introduction to the background of nonlinear analysis in the frequency domain, followed by recursive algorithms for computation of GFRFs for different parametric models, and nonlinear output frequency properties. Thereafter the parametric characteristic analysis method is introduced, which leads to the new understanding and formulation of the GFRFs, and nonlinear characteristic output spectrum (nCOS) and the nCOS based analysis and design method. Based on the parametric characteristic approach, nonlinear influence in the frequency domain can be investigated with a novel insight, i.e., alternating series, which is followed by some application results in vibration control. Magnitude bounds of frequency response functions of nonlinear systems can also be studied with a parametric characteristic approach, which result in novel parametric convergence criteria for any given parametric nonlinear model whose input-output relationship allows a convergent Volterra series expansion. This book targets those readers who are working in the areas related to nonlinear analysis and design, nonlinear signal processing, nonlinear system identification, nonlinear vibration control, and so on. It particularly serves as a good reference for those who are studying frequency domain methods for nonlinear systems.
000725801 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 27, 2015).
000725801 650_0 $$aNonlinear systems$$xMathematical models.
000725801 650_0 $$aVolterra equations.
000725801 7001_ $$aLang, Ziqiang,$$eauthor.
000725801 77608 $$iPrint version:$$z9783319123905
000725801 830_0 $$aUnderstanding complex systems.
000725801 830_0 $$aSpringer complexity.
000725801 852__ $$bebk
000725801 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-12391-2$$zOnline Access$$91397441.1
000725801 909CO $$ooai:library.usi.edu:725801$$pGLOBAL_SET
000725801 980__ $$aEBOOK
000725801 980__ $$aBIB
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000725801 983__ $$aOnline
000725801 994__ $$a92$$bISE