Probabilistic approach to mechanisms /
This book discusses the application of probabilistics to the investigation of mechanical systems. The book shows, for example, how random function theory can be applied directly to the investigation of random processes in the deflection of cam profiles, pitch or gear teeth, pressure in pipes, etc. T...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Amsterdam ; New York :
Elsevier,
1984.
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Colección: | Studies in applied mechanics ;
8. |
Temas: | |
Acceso en línea: | Texto completo Texto completo |
Tabla de Contenidos:
- 18. Moments of quotients Z = X/Y19. Laws of large numbers; 20. System of two random variables; 21. Moments of a system of two random variables; 22. Normal distribution for two variables; 23. Distribution laws of functions of random variable; 24. Composition of distribution law; 25. Random functions; 26. A random function as a system of random variables; 27. Characteristics of random functions; 28. Correlation; 29. Transformations of random functions; 30. The integral of a random function; 31. The derivative of a random function; 32. Composition of random functions
- 33. Stationary random functions34. Spectral density of a stationary random function; 35. Transformation of stationary random function by a linear system; 36. Ergodical random function; 37. The level crossing problem; CHAPTER II. KINEMATICS OF MECHANISMS; 1. Motion function of mechanisms; 2. Kinematic accuracy of mechanisms; 3. General statistical approach; 4. Kinematic accuracy; 5. Dynamic accuracy; 6. Statistical approach to dynamic analysis of mechanisms; 7. Derivation of the dynamic equations (Appendix I)
- CHAPTER III. INFLUENCE OF DERIVATIONS IN THE CAM PROFILE ON THE ACTION OF THE CAM MECHANISM1. Introduction; 2. Deterministic approach; 3. Main definitions; 4. Kinematic approach; 5. Dynamic approach; 6.� Synthesis problem; 7. Uniformity of rotation of the Camshaft; 8. Probabilistic description of a rolling follower; 9. Some ideas for measuring cam profile errors; CHAPTER IV. GEAR TRANSMISSION; 1. Main definition; 2. Probabilistic approach; 3. Measurements; 4. Dynamics of gear transmission; 5. Optimization Algorithm; 6. Gear calculation reliability; CHAPTER V. NONLINEAR PROBLEMS
- 1. General consideration2. Influence of a joint-gap on link kinematics; 3. Dynamic in joint gap (without feedback); 4. Dynamic in joint-gap (with feedback); 5. Applications of statistical linearization; 6. Kinematics of rebound; 7. Collisions in a joint gap; CHAPTER VI. MISCELLANEOUS EXAMPLES OF THE PROBABILISTIC APPROACH TO DESIGN PROBLEMS; 1. Accuracy of movement of hydraulic piston; 2. Pneumatic mechanisms; 3. Belt transmission; 4. Thrust bearings; 5. Rolling supports (including statistical simulations); 6. Synthesis of mechanical systems (principle of variations)