Kooperativer Bibliotheksverbund

UID:

Format: vi, 241 Seiten , Diagramme , 23 cm

ISBN: 9780128042281 , 0128042281

Note: Includes bibliographical references (pages 229-236) and index , Origin and basics of functionally graded structural members -- Analytical and numerical methods -- Functionally graded beams -- Vibration problems of functionally graded rectangular plates -- Vibration problems of functionally graded elliptic plates -- Vibration problems of functionally graded triangular plates -- Complicating effects -- Practical examples and experimental studies

Language: English

Subjects: Engineering

Keywords: Funktioneller Gradientenwerkstoff ; Schwingung

UID:

Format: 1 online resource (249 p.)

Edition: First edition.

ISBN: 0-12-804270-2 , 0-12-804228-1

Note: Description based upon print version of record. , Front Cover; Vibration of Functionally Graded Beams and Plates; Copyright; Contents; Chapter 1: Introduction; 1.1 Structural Beams and Plates; 1.2 Background of Composites; 1.3 Vibration Preliminaries; 1.3.1 Beam and Plate Theories; 1.3.2 Boundary Conditions; Chapter 2: Origin and Basics of Functionally Graded Structural Members; 2.1 History and Application of FG Composites; 2.2 Variation of Material Properties; 2.3 Beam and Plate Theories; 2.3.1 Higher-Order Shear Deformation Beam Theory; 2.3.2 Classical Plate Theory; 2.4 Governing Equations; 2.4.1 Vibration of FG Beam , 2.4.2 Vibration of Thin FG PlateChapter 3: Analytical and Numerical Methods; 3.1 History of Various Methods; 3.2 Analytical Methods; 3.2.1 Vibration of the FG Beam; 3.2.2 Vibration of the FG Plate; 3.3 Numerical Method(s); 3.3.1 Vibration of the FG Beam; 3.3.2 Vibration of the FG Plate; Chapter 4: Functionally Graded Beams; 4.1 Vibration of Uniform FG Beam; 4.1.1 Numerical Modeling; 4.1.2 Convergence and Comparison Studies; 4.1.3 Results and Discussions; 4.2 Concluding Remarks; Chapter 5: Vibration Problems of Functionally Graded Rectangular Plates; 5.1 Numerical Modeling , 5.2 Convergence and Comparison Studies5.3 Results and Discussions; 5.3.1 Power-Law Gradation; 5.3.2 Exponential Gradation; 5.3.2.1 Effect of Erat (= Ec/Em) With Constant ρrat (= ρc/ρm); 5.3.2.2 Effect of ρrat With Constant Erat; 5.4 Concluding Remarks; Chapter 6: Vibration Problems of Functionally Graded Elliptic Plates; 6.1 Numerical Modeling; 6.2 Convergence and Comparison Studies; 6.3 Results and Discussions; 6.4 Concluding Remarks; Chapter 7: Vibration Problems of Functionally Graded Triangular Plates; 7.1 Types of FG Triangular Elements; 7.2 Numerical Modeling , 7.3 Convergence and Comparison Studies7.4 Results and Discussions; 7.4.1 Effect of Power-Law Indices (k); 7.4.2 Effect of the Ratio of Young's Moduli (Er); 7.4.3 Effect of the Ratio of Mass Densities (ρr); 7.5 Concluding Remarks; Chapter 8: Complicating Effects; 8.1 Winkler and Pasternak Foundations; 8.1.1 Numerical Modeling; 8.1.2 Convergence and Comparison Studies; 8.1.3 Results and Discussions; 8.2 Thermal Environments; 8.2.1 Temperature Field Across the Thickness; 8.2.2 Numerical Modeling; State Under Temperature Gradient; 8.2.3 Results and Discussions; 8.3 Piezoelectricity , 8.3.1 Equilibrium EquationsFG Piezoelectric Beam; 8.3.2 Significance of Piezoelectricity; 8.4 Concluding Remarks; Chapter 9: Practical Examples and Experimental Studies; 9.1 Practical Applications; 9.2 Experimental Studies; References; Index; Back Cover

Language: English

UID:

Format: 1 online resource (249 p.)

Edition: First edition.

ISBN: 0-12-804270-2 , 0-12-804228-1

Note: Description based upon print version of record. , Front Cover; Vibration of Functionally Graded Beams and Plates; Copyright; Contents; Chapter 1: Introduction; 1.1 Structural Beams and Plates; 1.2 Background of Composites; 1.3 Vibration Preliminaries; 1.3.1 Beam and Plate Theories; 1.3.2 Boundary Conditions; Chapter 2: Origin and Basics of Functionally Graded Structural Members; 2.1 History and Application of FG Composites; 2.2 Variation of Material Properties; 2.3 Beam and Plate Theories; 2.3.1 Higher-Order Shear Deformation Beam Theory; 2.3.2 Classical Plate Theory; 2.4 Governing Equations; 2.4.1 Vibration of FG Beam , 2.4.2 Vibration of Thin FG PlateChapter 3: Analytical and Numerical Methods; 3.1 History of Various Methods; 3.2 Analytical Methods; 3.2.1 Vibration of the FG Beam; 3.2.2 Vibration of the FG Plate; 3.3 Numerical Method(s); 3.3.1 Vibration of the FG Beam; 3.3.2 Vibration of the FG Plate; Chapter 4: Functionally Graded Beams; 4.1 Vibration of Uniform FG Beam; 4.1.1 Numerical Modeling; 4.1.2 Convergence and Comparison Studies; 4.1.3 Results and Discussions; 4.2 Concluding Remarks; Chapter 5: Vibration Problems of Functionally Graded Rectangular Plates; 5.1 Numerical Modeling , 5.2 Convergence and Comparison Studies5.3 Results and Discussions; 5.3.1 Power-Law Gradation; 5.3.2 Exponential Gradation; 5.3.2.1 Effect of Erat (= Ec/Em) With Constant ρrat (= ρc/ρm); 5.3.2.2 Effect of ρrat With Constant Erat; 5.4 Concluding Remarks; Chapter 6: Vibration Problems of Functionally Graded Elliptic Plates; 6.1 Numerical Modeling; 6.2 Convergence and Comparison Studies; 6.3 Results and Discussions; 6.4 Concluding Remarks; Chapter 7: Vibration Problems of Functionally Graded Triangular Plates; 7.1 Types of FG Triangular Elements; 7.2 Numerical Modeling , 7.3 Convergence and Comparison Studies7.4 Results and Discussions; 7.4.1 Effect of Power-Law Indices (k); 7.4.2 Effect of the Ratio of Young's Moduli (Er); 7.4.3 Effect of the Ratio of Mass Densities (ρr); 7.5 Concluding Remarks; Chapter 8: Complicating Effects; 8.1 Winkler and Pasternak Foundations; 8.1.1 Numerical Modeling; 8.1.2 Convergence and Comparison Studies; 8.1.3 Results and Discussions; 8.2 Thermal Environments; 8.2.1 Temperature Field Across the Thickness; 8.2.2 Numerical Modeling; State Under Temperature Gradient; 8.2.3 Results and Discussions; 8.3 Piezoelectricity , 8.3.1 Equilibrium EquationsFG Piezoelectric Beam; 8.3.2 Significance of Piezoelectricity; 8.4 Concluding Remarks; Chapter 9: Practical Examples and Experimental Studies; 9.1 Practical Applications; 9.2 Experimental Studies; References; Index; Back Cover

Language: English

UID:

Format: 1 online resource (249 p.)

Edition: First edition.

ISBN: 0-12-804270-2 , 0-12-804228-1

Note: Description based upon print version of record. , Front Cover; Vibration of Functionally Graded Beams and Plates; Copyright; Contents; Chapter 1: Introduction; 1.1 Structural Beams and Plates; 1.2 Background of Composites; 1.3 Vibration Preliminaries; 1.3.1 Beam and Plate Theories; 1.3.2 Boundary Conditions; Chapter 2: Origin and Basics of Functionally Graded Structural Members; 2.1 History and Application of FG Composites; 2.2 Variation of Material Properties; 2.3 Beam and Plate Theories; 2.3.1 Higher-Order Shear Deformation Beam Theory; 2.3.2 Classical Plate Theory; 2.4 Governing Equations; 2.4.1 Vibration of FG Beam , 2.4.2 Vibration of Thin FG PlateChapter 3: Analytical and Numerical Methods; 3.1 History of Various Methods; 3.2 Analytical Methods; 3.2.1 Vibration of the FG Beam; 3.2.2 Vibration of the FG Plate; 3.3 Numerical Method(s); 3.3.1 Vibration of the FG Beam; 3.3.2 Vibration of the FG Plate; Chapter 4: Functionally Graded Beams; 4.1 Vibration of Uniform FG Beam; 4.1.1 Numerical Modeling; 4.1.2 Convergence and Comparison Studies; 4.1.3 Results and Discussions; 4.2 Concluding Remarks; Chapter 5: Vibration Problems of Functionally Graded Rectangular Plates; 5.1 Numerical Modeling , 5.2 Convergence and Comparison Studies5.3 Results and Discussions; 5.3.1 Power-Law Gradation; 5.3.2 Exponential Gradation; 5.3.2.1 Effect of Erat (= Ec/Em) With Constant ρrat (= ρc/ρm); 5.3.2.2 Effect of ρrat With Constant Erat; 5.4 Concluding Remarks; Chapter 6: Vibration Problems of Functionally Graded Elliptic Plates; 6.1 Numerical Modeling; 6.2 Convergence and Comparison Studies; 6.3 Results and Discussions; 6.4 Concluding Remarks; Chapter 7: Vibration Problems of Functionally Graded Triangular Plates; 7.1 Types of FG Triangular Elements; 7.2 Numerical Modeling , 7.3 Convergence and Comparison Studies7.4 Results and Discussions; 7.4.1 Effect of Power-Law Indices (k); 7.4.2 Effect of the Ratio of Young's Moduli (Er); 7.4.3 Effect of the Ratio of Mass Densities (ρr); 7.5 Concluding Remarks; Chapter 8: Complicating Effects; 8.1 Winkler and Pasternak Foundations; 8.1.1 Numerical Modeling; 8.1.2 Convergence and Comparison Studies; 8.1.3 Results and Discussions; 8.2 Thermal Environments; 8.2.1 Temperature Field Across the Thickness; 8.2.2 Numerical Modeling; State Under Temperature Gradient; 8.2.3 Results and Discussions; 8.3 Piezoelectricity , 8.3.1 Equilibrium EquationsFG Piezoelectric Beam; 8.3.2 Significance of Piezoelectricity; 8.4 Concluding Remarks; Chapter 9: Practical Examples and Experimental Studies; 9.1 Practical Applications; 9.2 Experimental Studies; References; Index; Back Cover

Language: English