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001438174 001__ 1438174
001438174 003__ OCoLC
001438174 005__ 20230309004251.0
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001438174 019__ $$a1261365579$$a1266810107
001438174 020__ $$a9783030756536$$q(electronic bk.)
001438174 020__ $$a303075653X$$q(electronic bk.)
001438174 020__ $$z9783030756529
001438174 020__ $$z3030756521
001438174 0247_ $$a10.1007/978-3-030-75653-6$$2doi
001438174 035__ $$aSP(OCoLC)1260341071
001438174 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dOCLCO$$dEBLCP$$dDCT$$dOCLCF$$dUKAHL$$dOCLCQ$$dCOM$$dOCLCO$$dOCLCQ
001438174 049__ $$aISEA
001438174 050_4 $$aQA402$$b.M37 2021
001438174 08204 $$a629.8/36015118$$223
001438174 1001_ $$aMarinca, Vasile,$$eauthor.
001438174 24510 $$aOptimal auxiliary functions method for nonlinear dynamical systems /$$cVasile Marinca, Nicolae Herisanu, Bogdan Marinca.
001438174 264_1 $$aCham :$$bSpringer,$$c[2021]
001438174 264_4 $$c©2021
001438174 300__ $$a1 online resource :$$billustrations (chiefly color)
001438174 336__ $$atext$$btxt$$2rdacontent
001438174 337__ $$acomputer$$bc$$2rdamedia
001438174 338__ $$aonline resource$$bcr$$2rdacarrier
001438174 347__ $$atext file
001438174 347__ $$bPDF
001438174 504__ $$aIncludes bibliographical references.
001438174 5050_ $$aIntroduction -- The Optimal Auxiliary Functions Method -- Dynamics of an Angular Misaligned Multirotor System -- Oscillations of a Pendulum Wrapping on Two Cylinders -- Free Oscillations of Euler-Bernoulli Beams on Nonlinear Winkler-Pasternak Foundation -- Nonlinear Vibrations of Doubly Clamped Nanobeam Incorporating the Casimir Force -- Transversal Oscillations of a Beam with Quintic Nonlinearities -- Approximate Analytical Solutions to Jerk Equations -- Vibration of Nonlinear Nonlocal Elastic Column with Initial Imperfection -- Nonlinear Vibration of Bernoulli-Euler Beam on a Winkler Elastic Foundation -- The Nonlinear Thermomechanical Vibration of a Functionally Graded Beam(FGB) on Winkler-Pasternak Foundation -- Nonlinear Free Vibration of Microtubes -- Nonlinear Free Vibration of Elastically Actuated Microtubes -- Analytical Investigation to Duffing Harmonic Oscillator -- Free Vibration of Tapered Beams -- Dynamic Analysis of a Rotating Electrical Machine Rotor-bearing System -- Investigation of a Permanent Magnet Synchronous Generator -- Dynamic Response of a Permanent Magnet Synchronous Generator to a Wind Gust -- Axisymmetric Flow and Heat Transfer on a Moving Cylinder -- Blasius Problem -- Numerical Examples -- Thin Film Flow of a Fourth Grade Fluid Down a Vertical Cylinder -- Axisymmetric MHD Flow and Heat Transfer to Modified Second Grade Fluid -- Thin Film Flow of an Eyring Powel Fluid on a Vertical Moving Belt -- The steady Flow of a Fourth Grade Fluid in a Porous Medium -- Thin Film Flow of an Oldroyd Six-constant Fluid Over a Moving Belt -- Cylindrical Liouville-Bratu-Gelfand Problem -- The Polytrophic Spheres of the Nonlinear Lane-Emden-Type Equation Arising in Astrophysics -- The Second Alternative to Optimal Auxiliary Functions Method -- Piecewise Optimal Auxiliary Functions Method -- Some Exact Solutions for Nonlinear Dynamical Systems by Means of the Optimal Auxiliary Functions Method.
001438174 506__ $$aAccess limited to authorized users.
001438174 520__ $$aThis book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of "optimal auxiliary functions" which are needed to obtain accurate results in an efficient way. Unlike other known analytic approaches, this procedure provides us with a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical systems. The optimal auxiliary functions are depending on some convergence-control parameters whose optimal values are rigorously determined from mathematical point of view. The capital strength of our procedure is its fast convergence, since after only one iteration, we obtain very accurate analytical solutions which are very easy to be verified. Moreover, no simplifying hypothesis or assumptions are made. The book contains a large amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and many more. The book is a continuation of our previous books Nonlinear Dynamical Systems in Engineering. Some Approximate Approaches, Springer-2011 and The Optimal Homotopy Asymptotic Method. Engineering Applications, Springer-2015
001438174 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed August 3, 2021).
001438174 650_0 $$aNonlinear systems$$xMathematical models.
001438174 650_0 $$aDynamics$$xMathematical models.
001438174 650_6 $$aSystèmes non linéaires$$xModèles mathématiques.
001438174 650_6 $$aDynamique$$xModèles mathématiques.
001438174 655_0 $$aElectronic books.
001438174 7001_ $$aHerisanu, Nicolae,$$eauthor.
001438174 7001_ $$aMarinca, Bogdan,$$eauthor.
001438174 852__ $$bebk
001438174 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-75653-6$$zOnline Access$$91397441.1
001438174 909CO $$ooai:library.usi.edu:1438174$$pGLOBAL_SET
001438174 980__ $$aBIB
001438174 980__ $$aEBOOK
001438174 982__ $$aEbook
001438174 983__ $$aOnline
001438174 994__ $$a92$$bISE