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Author: Alan P. Salzman Publisher: ISBN: Category : Languages : en Pages : 29
Book Description
The present investigation is concerned with the natural frequencies of orthotropic circular plates of variable thickness. In particular, a thickness variation of the form h = h sub o (1-H(R to the nth power)) has been selected. The derivation of the differential equation governing the motion of the plate is based on the classical formulation of the theory of plates. The solution of this equation for the axisymmetric case is obtained by an application of the method of Frobenius. Characteristic equations for the natural frequencies of clamped and simply supported plates are derived and numerical results are presented for several plates of various shapes. (Author).
Author: Alan P. Salzman Publisher: ISBN: Category : Languages : en Pages : 29
Book Description
The present investigation is concerned with the natural frequencies of orthotropic circular plates of variable thickness. In particular, a thickness variation of the form h = h sub o (1-H(R to the nth power)) has been selected. The derivation of the differential equation governing the motion of the plate is based on the classical formulation of the theory of plates. The solution of this equation for the axisymmetric case is obtained by an application of the method of Frobenius. Characteristic equations for the natural frequencies of clamped and simply supported plates are derived and numerical results are presented for several plates of various shapes. (Author).
Author: Alan P. Salzman Publisher: ISBN: Category : Languages : en Pages : 24
Book Description
Natural frequencies corresponding to asymmetric modes of vibration of orthotropic circular plates with variable thickness were investigated. The governing differential equation is solved by the method of separation of variables together with Frobenius' method. The characteristic equations for the natural frequencies of clamped and simply supported plates are derived. Numerical values of frequencies corresponding to several modes of vibrations are presented for various particular plate shapes. (Author).
Author: Snehashish Chakraverty Publisher: CRC Press ISBN: 1000687376 Category : Science Languages : en Pages : 301
Book Description
Plates are integral parts of most engineering structures and their vibration analysis is required for safe design. Vibration of Plates provides a comprehensive, self-contained introduction to vibration theory and analysis of two-dimensional plates. Reflecting the author's more than 15 years of original research on plate vibration, this book present
Author: Robert D. Blevins Publisher: John Wiley & Sons ISBN: 1119038219 Category : Technology & Engineering Languages : en Pages : 464
Book Description
With Over 60 tables, most with graphic illustration, and over 1000 formulas, Formulas for Dynamics, Acoustics, and Vibration will provide an invaluable time-saving source of concise solutions for mechanical, civil, nuclear, petrochemical and aerospace engineers and designers. Marine engineers and service engineers will also find it useful for diagnosing their machines that can slosh, rattle, whistle, vibrate, and crack under dynamic loads.
Author: Isaac Elishakoff Publisher: CRC Press ISBN: 1000611000 Category : Science Languages : en Pages : 311
Book Description
The engineering community generally accepts that there exists only a small set of closed-form solutions for simple cases of bars, beams, columns, and plates. Despite the advances in powerful computing and advanced numerical techniques, closed-form solutions remain important for engineering; these include uses for preliminary design, for evaluation
Author: Holm Altenbach Publisher: Springer ISBN: 9783030871871 Category : Technology & Engineering Languages : en Pages : 0
Book Description
This book presents the various approaches in establishment the basic equations of one- and two-dimensional structural elements. In addition, the boundaries of validity of the theories and the estimation of errors in approximate theories are given. Many contributions contain not only new theories, but also new applications, which makes the book interesting for researcher and graduate students.
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: Alan P. Salzman
Author: Alan P. Salzman
Author: Alan P. Salzman
Author: Babgaunda A. Patil
Author: Snehashish Chakraverty
Author: Robert D. Blevins
Author: Donald James Arnold
Author: Isaac Elishakoff
Author: 
Author: Holm Altenbach
Author: Muthukrishnan Sathyamoorthy