語系:
繁體中文
English
說明(常見問題)
回圖書館首頁
手機版館藏查詢
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Optimal auxiliary functions method f...
~
Marinca, Vasile.
FindBook
Google Book
Amazon
博客來
Optimal auxiliary functions method for nonlinear dynamical systems
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Optimal auxiliary functions method for nonlinear dynamical systems/ by Vasile Marinca, Nicolae Herisanu, Bogdan Marinca.
作者:
Marinca, Vasile.
其他作者:
Herisanu, Nicolae.
出版者:
Cham :Springer International Publishing : : 2021.,
面頁冊數:
xiii, 479 p. :ill., digital ;24 cm.
內容註:
Introduction -- 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.
Contained By:
Springer Nature eBook
標題:
Nonlinear systems - Mathematical models. -
電子資源:
https://doi.org/10.1007/978-3-030-75653-6
ISBN:
9783030756536
Optimal auxiliary functions method for nonlinear dynamical systems
Marinca, Vasile.
Optimal auxiliary functions method for nonlinear dynamical systems
[electronic resource] /by Vasile Marinca, Nicolae Herisanu, Bogdan Marinca. - Cham :Springer International Publishing :2021. - xiii, 479 p. :ill., digital ;24 cm.
Introduction -- 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.
This 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.
ISBN: 9783030756536
Standard No.: 10.1007/978-3-030-75653-6doiSubjects--Topical Terms:
1066653
Nonlinear systems
--Mathematical models.
LC Class. No.: QA402 / .M37 2021
Dewey Class. No.: 629.836015118
Optimal auxiliary functions method for nonlinear dynamical systems
LDR
:04291nmm a2200325 a 4500
001
2242379
003
DE-He213
005
20210714193537.0
006
m d
007
cr nn 008maaau
008
211207s2021 sz s 0 eng d
020
$a
9783030756536
$q
(electronic bk.)
020
$a
9783030756529
$q
(paper)
024
7
$a
10.1007/978-3-030-75653-6
$2
doi
035
$a
978-3-030-75653-6
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA402
$b
.M37 2021
072
7
$a
TGM
$2
bicssc
072
7
$a
TEC021000
$2
bisacsh
072
7
$a
TGM
$2
thema
082
0 4
$a
629.836015118
$2
23
090
$a
QA402
$b
.M337 2021
100
1
$a
Marinca, Vasile.
$3
2145566
245
1 0
$a
Optimal auxiliary functions method for nonlinear dynamical systems
$h
[electronic resource] /
$c
by Vasile Marinca, Nicolae Herisanu, Bogdan Marinca.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2021.
300
$a
xiii, 479 p. :
$b
ill., digital ;
$c
24 cm.
505
0
$a
Introduction -- 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.
520
$a
This 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.
650
0
$a
Nonlinear systems
$x
Mathematical models.
$3
1066653
650
0
$a
Dynamics
$x
Mathematical models.
$3
566519
650
1 4
$a
Materials Science, general.
$3
927806
650
2 4
$a
Analysis.
$3
891106
650
2 4
$a
Thermodynamics.
$3
517304
650
2 4
$a
Engineering Fluid Dynamics.
$3
891349
650
2 4
$a
Surfaces and Interfaces, Thin Films.
$3
892408
700
1
$a
Herisanu, Nicolae.
$3
2145567
700
1
$a
Marinca, Bogdan.
$3
3501490
710
2
$a
SpringerLink (Online service)
$3
836513
773
0
$t
Springer Nature eBook
856
4 0
$u
https://doi.org/10.1007/978-3-030-75653-6
950
$a
Physics and Astronomy (SpringerNature-11651)
筆 0 讀者評論
館藏地:
全部
電子資源
出版年:
卷號:
館藏
1 筆 • 頁數 1 •
1
條碼號
典藏地名稱
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
W9403434
電子資源
11.線上閱覽_V
電子書
EB QA402 .M37 2021
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
評論
新增評論
分享你的心得
Export
取書館
處理中
...
變更密碼
登入