Page 16 - Dynamics of Mechanical Systems

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13.9 Nonlinear Vibrations .......................................................................................................458
13.10 The Method of Krylov and Bogoliuboff.......................................................................463
13.11 Closure ...............................................................................................................................466
References.....................................................................................................................................466
Problems .......................................................................................................................................467

Chapter 14 Stability .................................................................................................................479
14.1 Introduction.......................................................................................................................479
14.2 Infinitesimal Stability.......................................................................................................479
14.3 A Particle Moving in a Vertical Rotating Tube ...........................................................482
14.4 A Freely Rotating Body...................................................................................................485
14.5 The Rolling/Pivoting Circular Disk .............................................................................488
14.6 Pivoting Disk with a Concentrated Mass on the Rim...............................................493
14.6.1 Rim Mass in the Uppermost Position ..........................................................................498
14.6.2 Rim Mass in the Lowermost Position ..........................................................................502
14.7 Discussion: Routh–Hurwitz Criteria.............................................................................505
14.8 Closure ...............................................................................................................................509
References.....................................................................................................................................509
Problems .......................................................................................................................................510

Chapter 15 Balancing...............................................................................................................513
15.1 Introduction.......................................................................................................................513
15.2 Static Balancing.................................................................................................................513
15.3 Dynamic Balancing: A Rotating Shaft ..........................................................................514
15.4 Dynamic Balancing: The General Case ........................................................................516
15.5 Application: Balancing of Reciprocating Machines....................................................520
15.6 Lanchester Balancing Mechanism .................................................................................525
15.7 Balancing of Multicylinder Engines..............................................................................526
15.8 Four-Stroke Cycle Engines .............................................................................................528
15.9 Balancing of Four-Cylinder Engines.............................................................................529
15.10 Eight-Cylinder Engines: The Straight-Eight and the V-8..........................................532
15.11 Closure ...............................................................................................................................534
References.....................................................................................................................................534
Problems .......................................................................................................................................534

Chapter 16 Mechanical Components: Cams .......................................................................539
16.1 Introduction.......................................................................................................................539
16.2 A Survey of Cam Pair Types..........................................................................................540
16.3 Nomenclature and Terminology for Typical Rotating Radial Cams
with Translating Followers.............................................................................................541
16.4 Graphical Constructions: The Follower Rise Function..............................................543
16.5 Graphical Constructions: Cam Profiles ........................................................................544
16.6 Graphical Construction: Effects of Cam–Follower Design .......................................545
16.7 Comments on Graphical Construction of Cam Profiles............................................549
16.8 Analytical Construction of Cam Profiles .....................................................................550
16.9 Dwell and Linear Rise of the Follower ........................................................................551
16.10 Use of Singularity Functions..........................................................................................553
16.11 Parabolic Rise Function...................................................................................................557
16.12 Sinusoidal Rise Function.................................................................................................560
16.13 Cycloidal Rise Function ..................................................................................................563
16.14 Summary: Listing of Follower Rise Functions............................................................566