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Author: National Aeronautics and Space Administration (NASA) Publisher: Createspace Independent Publishing Platform ISBN: 9781722408596 Category : Languages : en Pages : 54
Book Description
The method of matched asymptotic expansions is used to solve the transverse free vibration of a slightly curved, thin rectangular plate. Analytical results for natural frequencies and mode shapes are presented in the limit when the dimensionless bending rigidity, epsilon, is small compared with in-plane forces. Results for different boundary conditions are obtained when the initial deflection is: (1) a polynomial in both directions, and (2) the product of a polynomial and a trigonometric function, and arbitrary. For the arbitrary initial deflection case, the Fourier series technique is used to define the initial deflection. The results obtained show that the natural frequencies of vibration of slightly curved plates are coincident with those of perfectly flat, prestressed rectangular plates. However, the eigenmodes are very different from those of initially flat prestressed rectangular plates. The total deflection is found to be the sum of the initial deflection, the deflection resulting from the solution of the flat plate problem, and the deflection resulting from the static problem. Adeniji-Fashola, A. A. and Oyediran, A. A. Unspecified Center...
Author: National Aeronautics and Space Administration (NASA) Publisher: Createspace Independent Publishing Platform ISBN: 9781722408596 Category : Languages : en Pages : 54
Book Description
The method of matched asymptotic expansions is used to solve the transverse free vibration of a slightly curved, thin rectangular plate. Analytical results for natural frequencies and mode shapes are presented in the limit when the dimensionless bending rigidity, epsilon, is small compared with in-plane forces. Results for different boundary conditions are obtained when the initial deflection is: (1) a polynomial in both directions, and (2) the product of a polynomial and a trigonometric function, and arbitrary. For the arbitrary initial deflection case, the Fourier series technique is used to define the initial deflection. The results obtained show that the natural frequencies of vibration of slightly curved plates are coincident with those of perfectly flat, prestressed rectangular plates. However, the eigenmodes are very different from those of initially flat prestressed rectangular plates. The total deflection is found to be the sum of the initial deflection, the deflection resulting from the solution of the flat plate problem, and the deflection resulting from the static problem. Adeniji-Fashola, A. A. and Oyediran, A. A. Unspecified Center...
Author: Souhir Zghal Publisher: CRC Press ISBN: 1040103243 Category : Design Languages : en Pages : 428
Book Description
Functionally Graded Materials: Analysis and Applications to FGM, FG-CNTRC and FG Porous Structures aims to disseminates knowledge between users, manufacturers, designers, and researchers involved in structures or structural components manufactured using functionally graded materials. Despite a number of existing texts on the theory and analysis of plates and/or shells, there is not a single book that is devoted entirely to the analysis of functionally graded-based materials including FGMs, FG-CNTRCs and FG porous plates and shells. Functionally Graded Materials provides the reader with current research conducted in the field of composite materials, numerical simulations, computer methods and mechanical responses of structural components under different scenarios. This book is a valuable reference source for postgraduate students, engineers, scientists, professors, researchers, and applied mathematicians in this field.
Author: Muthukrishnan Sathyamoorthy Publisher: CRC Press ISBN: 1351359827 Category : Mathematics Languages : en Pages : 640
Book Description
Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads. Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation. Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists. One of the world's leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.
Author: National Aeronautics and Space Administration (NASA)
Author: National Aeronautics and Space Administration (NASA)
Author: A. A. Adeniji-Fashola
Author: A. A. Adeniji-Fashola
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Author: Souhir Zghal
Author: Muthukrishnan Sathyamoorthy