Tseytlin Structural Synthesis in Precision Elasticity

1. Auflage 2007
ISBN: 978-0-387-25157-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 400 Seiten

Reihe: Mechanical Engineering Series

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.

Autoren/Hrsg.

Tseytlin, Yakov M

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