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Structural Synthesis in Precision Elasticity (eBook)

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2007 | 2006
XVI, 400 Seiten
Springer New York (Verlag)
978-0-387-25157-8 (ISBN)

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Structural Synthesis in Precision Elasticity - Yakov M Tseytlin
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The book consists of two main parts: structural synthesis methods for a precision elastic system, including effective approximations; and the application of precision functional elastic systems at reference and operating conditions. Each part provides theoretical basics and a large variety of examples of application and recommendations for parametric and structural optimization. A handbook as well as a textbook, it gives theoretical and practical tools to researchers, instrument system designers, engineers, metrologists, and also to students of college engineering courses. Special consideration is dedicated to the theory and applications of flexible helicoids, notch flexure hinges, and perforated plates whose methods of structural synthesis need development.
Structural Synthesis in Precision Elasticity reflects the summary of theoretical and experimental studies whose conclusions are effective for optimized structural synthesis in precision elasticity, as well as demonstrate a large experience and options in the synthesis, production, application of precision elastic guides, mechanisms, correctors, transducers, instruments and machines. The main focus of this book is in the possible simplification of the corresponding analytical apparatus by using kinematical equivalents, matrix methods, appropriate contours, and function expansion with enough accurate minimal polynomials. This approach allows for substitution of some known unwieldy formulae and methods that are not convenient for digestible and tractable synthesis.The book consists of two main parts:- The elastic systems functional analysis and structural synthesis methods, including effective approximations and references to the history of their development- The application and development of precision functional elastic systems at reference and operating conditions, including the observation of archives with effective synthesized structures and elements of nanotechnology.Each part provides theoretical basics and a large variety of examples and recommendations. This book gives theoretical and practical tools to researchers, precision machines, instruments and miniature systems designers, engineers, metrologists, and engineering students.Despite that this book is dedicated to the general problems of the structural synthesis in precision elasticity, most of the practical examples and applications are concerned with the measuring systems as the precision is their main goal.The author intends to show close connection between the elastic precision structures developed during the 20th century and even before and the new elastic systems for atomic force microscopy and other recently created advanced structures in precision elasticity.

Series Preface 8
PREFACE 9
Acknowledgements 12
Contents 13
Synthesis of Elastic Systems 15
Problems and Methods of Svnthesis 15
1-1. Schematics of Typical Elastic Systems 15
1-2. General Problems of Precision Kinematics 37
1-3. Specifics of Elastic Kinematics and Dynamics 49
1-4. Features of Elastic Materials 63
Strain-Stress and Transformability Evaluation 73
2- 1. Continuum Mechanics: Energy Similarity, Greatest Transformability 73
2-2. Kinematics of an Elastic Helicoidal Beam 81
2-3. Motion Transformation in a Thin Helicoidal Strip 90
Elastic Functions in Beams, Plates, and Shells by Force and Pressure 103
3-1. Geometric Nonlinearity of Thin Beam Motion 103
3-2. Concave Elastic Hinges and Rings Effective Theory 120
3-3. Diaphragms, Plates, Bellows, Shells, and Manometric Tubes Relations 135
Elastic Guides, Transmissions, and Amplitude Transducers 167
4- 1. Rotary and Translational Guides 167
4-2. Planar Elastic Mechanisms 196
4-3. Spatial Elastic Mechanisms 205
4-4. Couplings, Correctors, and Compensators 225
4-5 . Dynamic Functions of the Amplitude Transducers 230
Vibrating Transducers 235
5- 1. Twisting Tape Vibrators 235
5-2. Helicoidal Multivibrators 238
5-3. Multivibrators with Shells and Quasi-Helicoids 263
5-4. The Largest Attainable Fundamental Frequencies 267
Application of Precision Elastic Systems 279
Uncertainties and Conditions 279
6- 1. Uncertainties Propagation, Negligibility Criterion 280
6-2. Uncertainties and Environment 288
6-3 .Reliability of Structural Links 295
The Main Influence Quantities 307
7-1. The Working Space and its Monitoring 307
7-2. Temperature 309
7-3. Reference Air 320
7-4. Forced and Natural Vibrations, Impact Action 325
7-5. Electric and Magnetic Influence Fields 335
7-6. Radiation and Gravitational Influence Fields 336
Precision Elastic Structures Development 342
8- 1. Elastic Systems in Measuring Means: displacement, mass, and force sensitivity 342
8-2. Specific Influence Functions 355
8-3. Pneumatic Systems and Ambient Air 359
8-4. Micro- and Nano-scale Systems 364
8-5. Effective Models for Precision Applications 383
REFERENCES 396
INDEX 407

Erscheint lt. Verlag 20.3.2007
Reihe/Serie Mechanical Engineering Series
Mechanical Engineering Series
Zusatzinfo XVI, 400 p. 96 illus.
Verlagsort New York
Sprache englisch
Themenwelt Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Mechanik
Technik Bauwesen
Technik Maschinenbau
Schlagworte Design • Development • Elasticity • mechanical engineering • MES • Microscopy • nanotechnology • Precision • Precision Elasticity • Production • Structural • synthesis • Tseytlin
ISBN-10 0-387-25157-X / 038725157X
ISBN-13 978-0-387-25157-8 / 9780387251578
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