Structural Books
Structural Vibration Exact Solutions for Strings Membranes Beams and Plates
PDF Free Download | Structural Vibration Exact Solutions for Strings Membranes Beams and Plates by C.Y. Wang and C.M. Wang
The numbers of references associated with the following words are 1,000 for “vibration and string,” 2,000 for “vibration and membrane,” 7,000 for “vibration and plate,” and 16,000 for “vibration and beam, bar or rod.”
This clearly illustrates the importance of the subject of free and forced vibrations for analysis and design of structures and machines.
The free vibration of a structural member eventually ceases due to energy dissipation, either from the material strains or from the resistance of the surrounding fluid.
The frequency of such a system will be lowered by damping. But since damping also causes the amplitude to decay,
The resonance with a forced excitation of a strongly damped system will not be as important as the weakly damped system.
In this book, we shall consider the undamped system, which models the weakly damped system, and only focus on the exact solutions for free transverse vibration of strings, bars, membranes,
and plates because these solutions elucidate the intrinsic, fundamental, and unexpected features of the solutions. They also serve as benchmarks to assess the validity, convergence,
and accuracy of numerical methods and approximate analytical methods. We define exact solutions to mean solutions in terms of known functions as well as those solutions determined from exact characteristic equations.
However, this book will not cover longitudinal in-plane/ translational vibrations, shear waves, torsional oscillations, infinite domains (wave propagation), discrete systems (such as linked masses), and frames.
The exact solutions for a wide range of differential equations are useful to academics teaching differential equations, as they may draw the practical problems associated with the differential equations.
There are seven chapters in this book. Chapter 1 gives the introduction to structural vibration and the importance of the natural frequencies in design.
Chapter 2 presents the vibration solutions for strings. Chapter 3 presents the vibration solutions for membranes.
Chapter 4 deals with vibration of bars and beams. Chapter 5 gives the vibration solutions for isotropic plates with uniform thickness.
Chapter 6 deals with plates with complicating effects such as the presence of in-plane forces, internal spring support, internal hinge, elastic foundation, and nonuniform thickness distribution.
Chapter 7 presents vibration solutions for nonisotropic plates, such as orthotropic, sandwich, laminated, and functionally graded plates. Owing to the vastness of the literature,
there may be relevant papers that escaped our search in the Science Citation Index. To these authors, we offer our sincere apology. Such omissions shall be rectified in a future edition.
Finally, we wish to express our thanks to Dr. Tay Zhi Yung and Mr. Ding Zhiwei of the National University of Singapore for checking the manuscript and plotting
The vibration mode shapes and also to Dr. Liu Bo of The Solid Mechanics Research Centre, Beihang University, China, for contributing the sections on rectangular isotropic and orthotropic Mindlin plates.
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| Structural Vibration |
Preface to Structural Vibration PDF Book
There is a staggering number of research studies on the vibration of structures. Based on a simple search using the Science Citation Index,The numbers of references associated with the following words are 1,000 for “vibration and string,” 2,000 for “vibration and membrane,” 7,000 for “vibration and plate,” and 16,000 for “vibration and beam, bar or rod.”
This clearly illustrates the importance of the subject of free and forced vibrations for analysis and design of structures and machines.
The free vibration of a structural member eventually ceases due to energy dissipation, either from the material strains or from the resistance of the surrounding fluid.
The frequency of such a system will be lowered by damping. But since damping also causes the amplitude to decay,
The resonance with a forced excitation of a strongly damped system will not be as important as the weakly damped system.
In this book, we shall consider the undamped system, which models the weakly damped system, and only focus on the exact solutions for free transverse vibration of strings, bars, membranes,
and plates because these solutions elucidate the intrinsic, fundamental, and unexpected features of the solutions. They also serve as benchmarks to assess the validity, convergence,
and accuracy of numerical methods and approximate analytical methods. We define exact solutions to mean solutions in terms of known functions as well as those solutions determined from exact characteristic equations.
However, this book will not cover longitudinal in-plane/ translational vibrations, shear waves, torsional oscillations, infinite domains (wave propagation), discrete systems (such as linked masses), and frames.
The exact solutions for a wide range of differential equations are useful to academics teaching differential equations, as they may draw the practical problems associated with the differential equations.
There are seven chapters in this book. Chapter 1 gives the introduction to structural vibration and the importance of the natural frequencies in design.
Chapter 2 presents the vibration solutions for strings. Chapter 3 presents the vibration solutions for membranes.
Chapter 4 deals with vibration of bars and beams. Chapter 5 gives the vibration solutions for isotropic plates with uniform thickness.
Chapter 6 deals with plates with complicating effects such as the presence of in-plane forces, internal spring support, internal hinge, elastic foundation, and nonuniform thickness distribution.
Chapter 7 presents vibration solutions for nonisotropic plates, such as orthotropic, sandwich, laminated, and functionally graded plates. Owing to the vastness of the literature,
there may be relevant papers that escaped our search in the Science Citation Index. To these authors, we offer our sincere apology. Such omissions shall be rectified in a future edition.
Finally, we wish to express our thanks to Dr. Tay Zhi Yung and Mr. Ding Zhiwei of the National University of Singapore for checking the manuscript and plotting
The vibration mode shapes and also to Dr. Liu Bo of The Solid Mechanics Research Centre, Beihang University, China, for contributing the sections on rectangular isotropic and orthotropic Mindlin plates.
Index of Structural Vibration PDF Book
- Chapter 1. Introduction to Structural Vibration.
- Chapter 2. Vibration of Strings.
- Chapter 3. Vibration of Membranes.
- Chapter 4. Vibration of Beams.
- Chapter 5. Vibration of Isotropic Plates.
- Chapter 6. Vibration of Plates with Complicating Effects.
- Chapter 7. Vibration of Nonisotropic Plates.
| Book Details | |
|---|---|
| Language | English |
| Pages | 307 |
| Format | |
| File Size | 9.83 MB |
