static and dynamic analysis of structural elements an addendum A bibliography
Content
- About the authors
- Chapter 1 Introduction to Structural Vibrations
- Chapter 2 Vibration of Lines
- Chapter 3 Membrane Oscillations
- Chapter 4 Vibration of Trees
- Chapter 5 Vibrations of Isotropic Plates
- Chapter 6 Plate vibrations and critical effects
- Chapter 7 Vibrations of Stress-Free Plates
- Description
Preface
A surprising amount of research has been done on structural vibrations. According to a simple search using the Scientific Index, the numbers represented by 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 board, line or stick. This situation clearly demonstrates the importance of free and forced vibrations in the analysis and design of structures and machines.
The free oscillation of a structural element eventually stops due to the reduction of forces arising in the material itself or from the resistance of the surrounding fluid. The frequency of such a system is reduced by canceling. However, since damping also causes amplitude distortion, resonance and forced excitation will not be as important in strongly damped systems as in damped systems. In this book we will consider unlabeled systems that represent inelastic systems and focus only on real solutions of free motion of cables, rods, membranes and plates, because these solutions have inherent, fundamental and unexpected features of the system description. Answers. They also serve as benchmarks to evaluate the validity, consistency, and accuracy of statistical methods and comparative analysis methods. We define real results as results based on known functions as well as results determined based on characteristic equations.
However, long-term in-plane/self-transitions, shear waves, torsional deformations, infinite fields (wave propagation), discrete systems (such as coherent masses) and frames are not discussed in this book. Providing a genuine response to a wide range of differences is beneficial for students teaching diversity because they can identify real issues related to gender.
There are seven chapters in this book. Chapter 1 gives an introduction to structural vibrations and the importance of natural frequencies in design. Section 2 presents the results of online jitter. Chapter 3 presents membrane vibration solutions. Chapter 4 deals with vibration of bars and beams. Chapter 5 presents vibration results for isotropic plates of uniform dimensions. Chapter 6 covers plates with complex effects such as the presence of in-plane forces, internal pressure, internal hinges, elastic foundations and non-uniform thickness distribution. Chapter 7 presents vibration solutions for stress-free plates such as orthotropic, sandwich, laminated and functional plates.
Due to the large size of the literature, there may be relevant articles that escape the review of scientific standards. We sincerely apologize to these authors. These bugs will be fixed in the future.
Finally, Dr. Tay Zhi Yung and Mr. Ding Zhiwei from the National University of Singapore for reviewing the manuscript and preparing the vibration method, and Dr. Liu Bo of the Research Institute of Solid Mechanics, Beihang University, China, for his contributions to Mindlin’s isotropic and orthotropic rectangular sections.
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