Differential transformation method for mechanical engineering problems / Mohammad Hatami, Davood Domairry Ganji, Mohsen Sheikholeslami.

Format:

Book

Author/Creator:

Hatami, Mohammad, author.

Ganji, Davood Domairry, author.

Sheikholeslami, Mohsen, author.

Language:

English

Subjects (All):

Mechanical engineering.

Physical Description:

1 online resource (424 pages) : illustrations

Edition:

1st ed.

Place of Publication:

Amsterdam : Elsevier, [2017]

Summary:

Differential Transformation Method for Mechanical Engineering Problems focuses on applying DTM to a range of mechanical engineering applications.The authors modify traditional DTM to produce two additional methods, multi-step differential transformation method (Ms-DTM) and the hybrid differential transformation method and finite difference method.

Contents:

Front Cover

DIFFERENTIALTRANSFORMATIONMETHOD FORMECHANICALENGINEERINGPROBLEMS

DIFFERENTIAL TRANSFORMATION METHOD FOR MECHANICAL ENGINEERING PROBLEMS

Copyright

DEDICATED TO:

CONTENTS

PREFACE

1 - Introduction to Differential Transformation Method

1.1 INTRODUCTION

1.2 PRINCIPLE OF DIFFERENTIAL TRANSFORMATION METHOD

1.3 MULTISTEP DIFFERENTIAL TRANSFORMATION METHOD

1.4 HYBRID DIFFERENTIAL TRANSFORMATION METHOD AND FINITE DIFFERENCE METHOD

1.5 DIFFERENTIAL TRANSFORMATION METHOD APPLYING ON INITIAL-VALUE PROBLEMS AND ORDINARY DIFFERENTIAL EQUATIONS

A. Differential Transformation Method With Fixed Grid Size

B. Differential Transformation Method With Varying Grid Size

1.6 TWO-DIMENSIONAL DIFFERENTIAL TRANSFORMATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS

1.7 DIFFERENTIAL TRANSFORMATION METHOD-PADE APPROXIMATION

1.8 DIFFERENTIAL TRANSFORMATION METHOD ON SINGULAR TWO-POINT BOUNDARY VALUE PROBLEM

REFERENCES

2 - Differential Transformation Method in Advance

2.1 INTRODUCTION

2.2 DIFFERENTIAL TRANSFORMATION METHOD FOR HIGHER-ORDER INITIAL VALUE PROBLEMS

A. Consider the Second-Order Initial Value Problem [2]

B. Consider the Third-Order Initial Value Problem

2.3 FRACTIONAL DIFFERENTIAL TRANSFORM METHOD

2.4 DIFFERENTIAL TRANSFORMATION METHOD FOR INTEGRO-DIFFERENTIAL EQUATION

2.5 DIFFERENTIAL TRANSFORMATION METHOD FOR EIGENVALUE PROBLEMS

Case 1:

Case 2:

2.6 TWO-DIMENSIONAL DIFFERENTIAL TRANSFORMATION METHOD FOR FRACTIONAL ORDER PARTIAL DIFFERENTIAL EQUATIONS

2.7 REDUCED DIFFERENTIAL TRANSFORM METHOD

2.8 MODIFIED DIFFERENTIAL TRANSFORMATION METHOD

3 - DTM for Heat Transfer Problems

3.1 INTRODUCTION

3.2 LONGITUDINAL FINS WITH CONSTANT PROFILE

A. Fin With Temperature-Dependent Internal Heat Generation and Constant Thermal Conductivity.

B. Fin With Temperature-Dependent Internal Heat Generation and Temperature-Dependent Thermal Conductivity

A. Case1: Fin With Temperature-Dependent Internal Heat Generation and Constant Thermal Conductivity

B. Case 2: Fin with Temperature-Dependent Internal Heat Generation and Temperature-Dependent Thermal Conductivity

3.3 NATURAL CONVECTION FLOW OF A NON-NEWTONIAN NANOFLUID

3.4 TWO-DIMENSIONAL HEAT TRANSFER IN LONGITUDINAL RECTANGULAR AND CONVEX PARABOLIC FINS

A. Heat Transfer in Fins of Rectangular Profile

B. Heat Transfer in Fins of Convex Parabolic Profile

3.5 THERMAL BOUNDARY LAYER ON FLAT PLATE

3.6 FALKNER-SKAN WEDGE FLOW

3.7 FREE CONVECTION PROBLEM

4 - DTM for Fluids Flow Analysis

4.1 INTRODUCTION

4.2 TWO-DIMENSIONAL VISCOUS FLOW

4.3 MAGNETOHYDRODYNAMIC BOUNDARY LAYER

4.4 NANOFLUID FLOW OVER A FLAT PLATE

4.5 NON-NEWTONIAN FLUID FLOW ANALYSIS

5 - DTM for Nanofluids and Nanostructures Modeling

5.1 INTRODUCTION

5.2 NANOFLUID IN DIVERGENT/CONVERGENT CHANNELS

5.3 MHD COUETTE NANOFLUID FLOW

5.4 NANOFLUID BETWEEN PARALLEL PLATES

5.5 VIBRATION ANALYSIS OF NANOBEAMS

5.6 BUCKLING ANALYSIS OF A SINGLE-WALLED CARBON NANOTUBE

6 - DTM for Magnetohydrodynamic (MHD) and Porous Medium Flows

6.1 INTRODUCTION

6.2 MAGNETOHYDRODYNAMIC COUETTE FLUID FLOW BETWEEN PARALLEL PLATES

6.3 MICROPOLAR FLUID IN A POROUS CHANNEL

6.4 MAGNETOHYDRODYNAMIC VISCOUS FLOW BETWEEN POROUS SURFACES

7 - DTM for Particles Motion, Sedimentation, and Combustion

7.1 INTRODUCTION

7.2 MOTION OF A SPHERICAL PARTICLE ON A ROTATING PARABOLA

7.3 MOTION OF A SPHERICAL PARTICLE IN PLANE COUETTE FLUID FLOW

7.4 NONSPHERICAL PARTICLES SEDIMENTATION

7.5 MOTION OF A SPHERICAL PARTICLE IN A FLUID FORCED VORTEX

7.6 COMBUSTION OF MICROPARTICLES.

7.7 UNSTEADY SEDIMENTATION OF SPHERICAL PARTICLES

7.8 TRANSIENT VERTICALLY MOTION OF A SOLUBLE PARTICLE

8 - DTM for Solid Mechanics, Vibration, and Deflection

8.1 INTRODUCTION

8.2 DEFLECTION PREDICTION OF A CANTILEVER BEAM

8.3 VIBRATION ANALYSIS OF STEPPED FGM BEAMS

8.4 PIEZOELECTRIC MODAL SENSORS FOR CANTILEVER BEAMS

8.5 DAMPED SYSTEM WITH HIGH NONLINEARITY

8.6 FREE VIBRATION OF A CENTRIFUGALLY STIFFENED BEAM

8.7 DEFLECTIONS OF ORTHOTROPIC RECTANGULAR PLATE

8.8 FREE VIBRATION OF CIRCULAR PLATES

A. Transformation of Free Vibration Equation

B. Transformation of Boundary/Regularity Conditions

8.9 VIBRATION OF PIPES CONVEYING FLUID

8.10 PIEZOELECTRIC MODAL SENSOR FOR NONUNIFORM EULER-BERNOULLI BEAMS WITH RECTANGULAR CROSS SECTION

A. Simply Supported Beam With Two Steps

B. Tapered Beam With Abrupt Changes of Cross Section

8.11 FREE VIBRATIONS OF OSCILLATORS

8.12 COMPOSITE SANDWICH BEAMS WITH VISCOELASTIC CORE

INDEX

B

C

D

E

F

H

K

L

M

N

P

R

S

T

V

Back Cover.

Notes:

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed December 5, 2016).

Description based on publisher supplied metadata and other sources.

ISBN:

0-12-805340-2

OCLC:

964359625