Vibration and Acoustics of Composite Structures

Theory and Applications

1st Edition - August 1, 2023

Authors: Guang Meng, Yegao Qu

Paperback ISBN:

9 7 8 - 0 - 1 2 - 8 2 0 3 5 0 - 7

eBook ISBN:

9 7 8 - 0 - 1 2 - 8 2 0 3 5 1 - 4

Vibration and Acoustics of Composite Structures: Theory and Applications presents recent advances on the vibration and acoustics of elastic composite structures. The book guides… Read more

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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.

1 Introduction 1.1 Introduction to Composite Material1.1.1 Definition and Classification of Composite Materials1.1.2 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 Structures1.3.1 Vibration of Composite Beams1.3.2 Vibration of Composite Plates 1.3.3 Vibration of Composite Shells1.4 Methods for Structural Acoustics of Composite Structures2 Anisotropic Elasticity2.1 Equations of Elasticity in Cartesian Coordinates2.1.1 Strains and Stresses2.1.2 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 Conditions3 Variational Principles of Linear Elastodynamics 3.1 The Principle of Minimum Potential Energy3.2 Hamilton's Principle3.3 Generalized Variational Principles3.3.1 Hellinger-Reissner's Principle 3.3.2 Hu-Washizu's Principle3.4 Modified variational Principles 3.4.1 Modified Hamilton’s Principle3.4.2 Subregion variational principle 3.5 Nitsche’s Subregion Variational Method 3.5.1 Nitsche’s Subregion Variational Functional3.5.2 Discretization of Equations of Motion3.5.3 Numerical Cases4 Zig-zag Theories and Vibrations of Composite Laminated Beams, Plates and Shells4.1 One-Dimensional Composite Laminated Straight Beams4.1.1 Displacement Field of Zig-zag Theory4.1.2 Governing Equations 4.1.3 Sub-Domain model of Straight Beam4.1.4 Numerical Cases4.2 One-Dimensional Composite Laminated Curved Beams4.2.1 Displacement Field of Zig-zag Theory4.2.2 Governing Equations 4.2.3 Sub-Domain Model of Curved Beam4.2.4 Numerical Cases4.3 Two-Dimensional Composite Laminated Plates4.3.1 Displacement Field of Zig-zag Theory4.3.2 Governing Equations4.3.3 Sub-Domain Model of Plate4.3.4 Numerical Cases4.4 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 5 Three-dimensional Theory of Elasticity and Vibration of Composite Laminated Beams, Plates and Shells5.1 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 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 Theory6.3.2 Sub-Domain Models Based on Three-Dimensional Theory of Elasticity6.3.3 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 7 Boundary Integral Equations in Acoustics and Spectral Boundary Element Methods 7.1 Acoustic Wave Equation of Ideal Fluid7.1.1 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 Acoustics7.3.1 Fundamental Solution 7.3.2 Boundary Integral Equations for Acoustic Radiation7.3.3 Boundary Integral Equations for Acoustic Scattering7.3.4 Discretization of Boundary Integral Equations 7.3.6 Numerical Cases 7.3 Frequency-Domain Boundary Integral Equations of Acoustics for Axisymetric Problems7.3.1 Boundary Integral Equation for Axisymmetric Problems 7.3.2 Discretization of Boundary Integral Equations7.3.3 Numerical Cases7.4 Time-Domain Boundary Integral Equations of Acoustics7.4.1 Fundamental Solution7.4.2 Time-Domain Boundary Integral Equations7.4.3 Discretization of Boundary Integral Equations 8 Vibro-Acoustic Coupling Systems of Composite Structures8.1 Vibro-Acoustic Coupling System of Elastic body in Frequency-Domain8.1.1 Sub-Domain Model of Elastic Body8.1.2 Spectral Boundary Element Discretization of Acoustic Field8.1.3 Vibro-Acoustic Equations of Elastic Body8.1.4 Numerical Cases8.2 Vibro-Acoustic Coupling System of Shells of Revolution in Frequency-Domain8.2.1 Sub-Domain Model of Shell8.2.2 Spectral Boundary Element Discretization of Acoustic Field8.2.3 Vibro-Acoustic Equations of Shells8.3 Vibro-Acoustic Problems of Composite Shells in Frequency-Domain8.3.1 Vibro-Acoustic Analyses of Cylindrical Shells8.3.2 Vibro-Acoustic Analyses of Conical Shells8.3.3 Vibro-Acoustic Analyses of Spherical Shells8.4 Vibro-Acoustic Problems of Stiffened Shells in Frequency-Domain8.4.1 Vibro-Acoustic Models of Stiffened Shells8.4.2 Stiffened Conical-Cylindrical-Conical Shells8.4.3 Stiffened Hemispherical-Cylindrical-Hemispherical Shells8.5 Vibro-Acoustic Problems of Coupled Systems of Beam, Elastic Supports and Stiffened Shells8.5.1 Vibro-Acoustic Model of Coupled Propeller-Shaft-Pressure Hull System8.5.2 Vibro-Acoustic Responses of Coupled Propeller-Shaft-Pressure Hull System8.6 Vibro-Acoustic Coupling System of Elastic structure in Time-Domain8.6.1 Time-Domain Vibro-Acoustic Equations of Elastic structure8.6.2 Numerical CasesReferences

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