Structural Synthesis in Precision Elasticity

1. Auflage 2007
ISBN: 978-0-387-25157-8
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 400 Seiten

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.

Autoren/Hrsg.

Inhaltsverzeichnis

1;Series Preface;8
2;PREFACE;9
3;Acknowledgements;12
4;Contents;13
5;Synthesis of Elastic Systems;15
5.1;Problems and Methods of Svnthesis;15
5.1.1;1-1. Schematics of Typical Elastic Systems;15
5.1.2;1-2. General Problems of Precision Kinematics;37
5.1.3;1-3. Specifics of Elastic Kinematics and Dynamics;49
5.1.4;1-4. Features of Elastic Materials;63
5.2;Strain-Stress and Transformability Evaluation;73
5.2.1;2- 1. Continuum Mechanics: Energy Similarity, Greatest Transformability;73
5.2.2;2-2. Kinematics of an Elastic Helicoidal Beam;81
5.2.3;2-3. Motion Transformation in a Thin Helicoidal Strip;90
5.3;Elastic Functions in Beams, Plates, and Shells by Force and Pressure;103
5.3.1;3-1. Geometric Nonlinearity of Thin Beam Motion;103
5.3.2;3-2. Concave Elastic Hinges and Rings Effective Theory;120
5.3.3;3-3. Diaphragms, Plates, Bellows, Shells, and Manometric Tubes Relations;135
5.4;Elastic Guides, Transmissions, and Amplitude Transducers;167
5.4.1;4- 1. Rotary and Translational Guides;167
5.4.2;4-2. Planar Elastic Mechanisms;196
5.4.3;4-3. Spatial Elastic Mechanisms;205
5.4.4;4-4. Couplings, Correctors, and Compensators;225
5.4.5;4-5 . Dynamic Functions of the Amplitude Transducers;230
5.5;Vibrating Transducers;235
5.5.1;5- 1. Twisting Tape Vibrators;235
5.5.2;5-2. Helicoidal Multivibrators;238
5.5.3;5-3. Multivibrators with Shells and Quasi-Helicoids;263
5.5.4;5-4. The Largest Attainable Fundamental Frequencies;267
6;Application of Precision Elastic Systems;279
6.1;Uncertainties and Conditions;279
6.1.1;6- 1. Uncertainties Propagation, Negligibility Criterion;280
6.1.2;6-2. Uncertainties and Environment;288
6.1.3;6-3 .Reliability of Structural Links;295
6.2;The Main Influence Quantities;307
6.2.1;7-1. The Working Space and its Monitoring;307
6.2.2;7-2. Temperature;309
6.2.3;7-3. Reference Air;320
6.2.4;7-4. Forced and Natural Vibrations, Impact Action;325
6.2.5;7-5. Electric and Magnetic Influence Fields;335
6.2.6;7-6. Radiation and Gravitational Influence Fields;336
6.3;Precision Elastic Structures Development;342
6.3.1;8- 1. Elastic Systems in Measuring Means: displacement, mass, and force sensitivity;342
6.3.2;8-2. Specific Influence Functions;355
6.3.3;8-3. Pneumatic Systems and Ambient Air;359
6.3.4;8-4. Micro- and Nano-scale Systems;364
6.3.5;8-5. Effective Models for Precision Applications;383
7;REFERENCES;396
8;INDEX;407