Vibration and Acoustics of Composite Structures

Vibration and Acoustics of Composite Structures

Theory and Applications

1st Edition - January 1, 2023

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  • Authors: Guang Meng, Yegao Qu
  • Paperback ISBN: 9780128203507

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Description

Vibration and Acoustics of Composite Structures: Theory and Applications presents recent advances on the vibration and acoustics of elastic composite structures. The book guides readers through structural modeling and fluid-structure interactions of elastic structures made from fiber-reinforced, sandwich and functionally graded materials. To achieve this goal, the book presents a series of generalized higher-order shear deformable theories for composite straight/curved beams, plates and shells, which is not available in any other book. The book also provides originally proposed frequency and time-domain methods for structural-acoustic analyses of composite structures immersed in light and heavy acoustic fluid.Many numerical examples are given to aid in physical insights and to provide benchmark computations of vibration and sound radiation of composite structures. This book is a useful source of information for scientists who need to develop skills in theoretical and/or numerical modeling in dynamics and acoustics of elastic structures.

Key Features

  • Covers new, general higher-order shear deformation zig-zag theories for composite beams, plates and shells, and traditional structural theories
  • Includes modified variational formulation for vibration analysis of composite beams, plates and shells made of fiber-reinforced and functionally graded materials
  • Provides frequency and time domain methods for structural-acoustic analysis of composite structures immersed in unbounded light and heavy acoustic fluid

Readership

Researchers, professionals and graduate students working in numerical modelling in dynamics and acoustics

Table of Contents

  • Chapter 1 Introduction
    1.1 Introduction to Composite Material
    1.1.1 Definition and Classification of Composite Materials
    1.1.2 Fiber-Reinforced Composite Materials
    1.1.3 Functionally Graded Materials
    1.2 Theories of Composite Laminated Structures
    1.2.1 Composite Laminated Beam Theories
    1.2.2 Composite Laminated Plate Theories
    1.2.3 Composite Laminated Shell Theories
    1.3 Methods for Vibration Analysis of Composite Structures
    1.3.1 Vibration of Composite Beams
    1.3.2 Vibration of Composite Plates
    1.3.3 Vibration of Composite Shells
    1.4 Methods for Structural Acoustics of Composite Structures
    Chapter 2 Anisotropic Elasticity
    2.1 Equations of Elasticity in Cartesian Coordinates
    2.1.1 Strains and Stresses
    2.1.2 Constitutive relations
    2.1.3 Coordinate Transformations of Strains and Stresses
    2.1.4 Equations of Motion and Boundary Conditions
    2.2 Equations of Elasticity in Orthogonal Curvilinear Coordinates
    2.2.1 Curvilinear Coordinate System
    2.2.2 Strain-Displacement Equations
    2.2.3 Constitutive relation
    2.2.4 Equations of Motion and Boundary Conditions
    Chapter 3 Variational Principles of Linear Elastodynamics
    3.1 The Principle of Minimum Potential Energy
    3.2 Hamilton's Principle
    3.3 Generalized Variational Principles
    3.3.1 Hellinger-Reissner's Principle
    3.3.2 Hu-Washizu's Principle
    3.4 Modified variational Principles
    3.4.1 Modified Hamilton’s Principle
    3.4.2 Subregion variational principle
    3.5 Nitsche’s Subregion Variational Method
    3.5.1 Nitsche’s Subregion Variational Functional
    3.5.2 Discretization of Equations of Motion
    3.5.3 Numerical Cases
    Chapter 4 Zig-zag Theories and Vibrations of Composite Laminated Beams, Plates and Shells
    4.1 One-Dimensional Composite Laminated Straight Beams
    4.1.1 Displacement Field of Zig-zag Theory
    4.1.2 Governing Equations
    4.1.3 Sub-Domain model of Straight Beam
    4.1.4 Numerical Cases
    4.2 One-Dimensional Composite Laminated Curved Beams
    4.2.1 Displacement Field of Zig-zag Theory
    4.2.2 Governing Equations
    4.2.3 Sub-Domain Model of Curved Beam
    4.2.4 Numerical Cases
    4.3 Two-Dimensional Composite Laminated Plates
    4.3.1 Displacement Field of Zig-zag Theory
    4.3.2 Governing Equations
    4.3.3 Sub-Domain Model of Plate
    4.3.4 Numerical Cases
    4.4 Two-Dimensional Composite Laminated Shells
    4.4.1 Basic Concepts of Shells
    4.4.2 Displacement Field of Zig-zag Theory
    4.4.3 Governing Equations
    4.4.4 Sub-Domain Model of Shell
    4.4.5 Numerical Cases
    Chapter 5 Three-dimensional Theory of Elasticity and Vibration of Composite Laminated Beams, Plates and Shells
    5.1 Composite Laminated Rectangular Parallelepipeds
    5.1.1 Governing Equations
    5.1.2 Sub-Domain Model of Parallelepiped
    5.1.3 Numerical Cases
    5.2 Composite Laminated Circular Plates
    5.2.1 Governing Equations
    5.2.2 Sub-Domain Model of Circular Plate
    5.2.3 Numerical Cases
    5.3 Composite Laminated Shells
    5.3.1 Governing Equations
    5.3.2 Sub-Domain Model of Shell
    5.3.3 Numerical Cases
    Chapter 6 Vibrations of Functionally Graded Beams, Plates and Shells
    6.1 Material Properties of Functionally Graded Materials
    6.1.1 Voigt's Rule of Mixture
    6.1.2 Mori-Tanaka’s Model
    6.2 Functionally Graded Straight Beams
    6.2.1 Sub-Domain Models of Beams
    6.2.2 Numerical Cases
    6.3 Functionally Graded Plates
    6.3.1 Sub-Domain Models Based on Higher-order Shear Deformation Theory
    6.3.2 Sub-Domain Models Based on Three-Dimensional Theory of Elasticity
    6.3.3 Numerical Cases
    6.4 Functionally Graded Circular Plates
    6.4.1 Sub-Domain Models of Circular Plates
    6.4.2 Numerical Cases
    6.5 Functionally Graded Shells
    6.5.1 Sub-Domain Models of Shells
    6.5.2 Numerical Cases
    Chapter 7 Boundary Integral Equations in Acoustics and Spectral Boundary Element Methods
    7.1 Acoustic Wave Equation of Ideal Fluid
    7.1.1 Conservation of Mass
    7.1.2 Equations of Motion
    7.1.3 Equations of State
    7.1.4 Wave Equations and Boundary Conditions
    7.1.5 Helmholtz Equation and Boundary Conditions
    7.2 Frequency-Domain Boundary Integral Equations of Acoustics
    7.3.1 Fundamental Solution
    7.3.2 Boundary Integral Equations for Acoustic Radiation
    7.3.3 Boundary Integral Equations for Acoustic Scattering
    7.3.4 Discretization of Boundary Integral Equations
    7.3.6 Numerical Cases
    7.3 Frequency-Domain Boundary Integral Equations of Acoustics for Axisymetric Problems
    7.3.1 Boundary Integral Equation for Axisymmetric Problems
    7.3.2 Discretization of Boundary Integral Equations
    7.3.3 Numerical Cases
    7.4 Time-Domain Boundary Integral Equations of Acoustics
    7.4.1 Fundamental Solution
    7.4.2 Time-Domain Boundary Integral Equations
    7.4.3 Discretization of Boundary Integral Equations
    Chapter 8 Vibro-Acoustic Coupling Systems of Composite Structures
    8.1 Vibro-Acoustic Coupling System of Elastic body in Frequency-Domain
    8.1.1 Sub-Domain Model of Elastic Body
    8.1.2 Spectral Boundary Element Discretization of Acoustic Field
    8.1.3 Vibro-Acoustic Equations of Elastic Body
    8.1.4 Numerical Cases
    8.2 Vibro-Acoustic Coupling System of Shells of Revolution in Frequency-Domain
    8.2.1 Sub-Domain Model of Shell
    8.2.2 Spectral Boundary Element Discretization of Acoustic Field
    8.2.3 Vibro-Acoustic Equations of Shells
    8.3 Vibro-Acoustic Problems of Composite Shells in Frequency-Domain
    8.3.1 Vibro-Acoustic Analyses of Cylindrical Shells
    8.3.2 Vibro-Acoustic Analyses of Conical Shells
    8.3.3 Vibro-Acoustic Analyses of Spherical Shells
    8.4 Vibro-Acoustic Problems of Stiffened Shells in Frequency-Domain
    8.4.1 Vibro-Acoustic Models of Stiffened Shells
    8.4.2 Stiffened Conical-Cylindrical-Conical Shells
    8.4.3 Stiffened Hemispherical-Cylindrical-Hemispherical Shells
    8.5 Vibro-Acoustic Problems of Coupled Systems of Beam, Elastic Supports and Stiffened Shells
    8.5.1 Vibro-Acoustic Model of Coupled Propeller-Shaft-Pressure Hull System
    8.5.2 Vibro-Acoustic Responses of Coupled Propeller-Shaft-Pressure Hull System
    8.6 Vibro-Acoustic Coupling System of Elastic structure in Time-Domain
    8.6.1 Time-Domain Vibro-Acoustic Equations of Elastic structure
    8.6.2 Numerical Cases
    References

Product details

  • No. of pages: 500
  • Language: English
  • Copyright: © Elsevier 2023
  • Published: January 1, 2023
  • Imprint: Elsevier
  • Paperback ISBN: 9780128203507

About the Authors

Guang Meng

Professor Guang Meng IS currently the vice president of Shanghai Academy of Spaceflight Technology, China, who is also a Distinguished Professor in the school of mechanical engineering at Shanghai Jiao Tong University, China. Guang Meng received his B.Sc. (Applied Mechanics), M.Sc. (Applied Mechanics) and Ph.D. (Applied Mechanics) degrees, respectively, in 1981, 1984 and 1988 from Northwestern Polytechnical University, China. Prior to his current position, he worked as a postdoctoral fellow at the Texas A&M University (1989-1990), as an Alexander von Humboldt senior scientist at the Technische Universität Berlin (1990-1992), and as a visiting professor at the University of New South Wales (1992-1993). He taught at Northwestern Polytechnical University during 1993-1996. He joined Shanghai Jiao Tong University in 2000, and served as the director of the State Key Laboratory of Mechanical System and Vibration, China, from 2004 to 2008. Guang Meng has made significant contributions in the specific areas of applied mechanics, nonlinear dynamics, structural vibration, and smart materials/structures. He has published over 520 journal papers, 3 books, and has given numerous national and international talks. He has advised more than 20 postdoctoral fellows, 30 Ph.D. students, and 40 M.S students over 30 years. He serves as the vice president of the Chinese Society for Vibration Engineering. He received many academic research awards including the National Award for Science and Technology Progress, and the Melville Medal of ASME (the highest honour for the best paper published in the ASME Transactions).

Affiliations and Expertise

Vice President, Shanghai Academy of Spaceflight Technology, China; Distinguished Professor, School of mechanical engineering, Shanghai Jiao Tong University, China

Yegao Qu

Dr Yegao Qu is currently an associate professor of School of Mechanical Engineering at Shanghai Jiao Tong University, China. He earned his B.Sc. (Mechanical Engineering) and M.Sc. (Mechanical Engineering) degrees from the China University of Geosciences, and Ph.D. (Mechanics and Materials Science) degree from the Shanghai Jiao Tong University. After two years of Post-doctoral experience at Virginia Polytechnic Institute and State University, he joined Shanghai Jiao Tong University in spring of 2017. Yegao Qu has been working on vibration and acoustics of elastic structures for more than 10 years. His has published more than 50 papers in reputable refereed and widely read journals for vibration and acoustic analysis of composite structures and underwater vehicles. Yegao Qu has also given many conference presentations and invited talks. He received a number of academic research awards including the Youth Science and Technology Award of Chinese Society for Vibration Engineering (2018), and the Graduate Excellence Award of Shanghai (2014) for the solution of vibration and acoustic problems of underwater structures. He has the membership in the Chinese Society for Vibration Engineering and the American Institute of Aeronautics and Astronautics.

Affiliations and Expertise

Associate Professor, School of Mechanical Engineering, Shanghai Jiao Tong University, China

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