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Russell, R D, and Shampine, L F, A Collocation Method for Boundary Value Problems, Numerical Mathematics, 19: 1 28, 1972 Sanchez, N M, and de Jalon, J G, Application of B-Spline Functions to the Motion Speci cation of Cams, ASME paper 80-DET-28, 1980 Sandgren, E, and West, R L, Shape Optimization of Cam Pro les Using a Representation, ASME Journal of Mechanisms, Transmissions, and Automation in Design, I (11): 195 201, 1989 Shampine, L F, and Gear, C W, A User s View of Solving Stiff Ordinary Differential Equations, SIAM Review, 21: 1 17, 1979 Stroud, A H, and Secrest, D, Gaussian Quadrature Formulas, Prentice-Hall, Upper Saddle River, NJ, 1986 Tesar, D, and Matthew, G K, The Dynamic Synthesis, Analysis, and Design of Modeled Cam Systems, D C Heath Company, Lexington, Mass, 1976 Thompson, B S, Mass, D J, and Jiang, J, Cam-Follower, Cutter-Workpiece Interaction in Airfoil Milling Machines, Oklahoma State University s 8th Applied Mechanisms Conference, September 19 21, Saint Louis, Mo, pp 39-1 39-7, 1983 Thoren, T R, Engemann, H H, and Stoddart, D A, Cam Design as Related to Valve Train Dynamics, SAE Quarterly Transactions, 6 (1): 1 14, 1952 Tiller, W, Rational B-Splines for Curve and Surface Representation, IEEE CG&A, pp 61 69, September 1983 Titolo, A, The Variable Valve Timing System Application on a V8 Engine, SAE paper 910009, pp 35 42, 1991 Tsay, D M, and Hwang, G S, Application of the Theory of Envelope to the Determination of Camoid Pro les with Translating Followers, ASME Journal of Mechanical Design, 116: 320 325, 1994a Tsay, D M, and Hwang, G S, The Pro le Determination and Machining of Camoids with Oscillating Spherical Followers, ASME Journal of Engineering for Industry, 116: 355 362, 1994b Versprille, K, Computer Aided Design Applications of the Rational B-spline Approximation Form, PhD Thesis, Syracuse University, Syracuse, NY, 1975 Weiss, R, The Application of Implicit Runge-Kutta and Collocation Methods to Boundary Value Problems, Mathematics of Computation, 28: 449-464, 1974 Wiederrich, J L, Residual Vibration Criteria Applied to Multiple Degree of Freedom Cam Followers, ASME Journal of Mechanical Design, 103: 702 705, October 1981 Wiederrich, J L, and Roth, R, Dynamic Synthesis of Cams Using Finite Trigonometric Series ASME Journal of Engineering for Industry 97: 287 293, 1975 Wright, K, Some Relationships Between Implicit Runge-Kutta, Collocation and Lanczos T Methods, and Their Stability Properties, BIT, 10: 217 227, 1970 Yoon, K, and Rao, S S, Cam Motion Synthesis Using Cubic Splines, ASME Journal of Mechanical Design, 115: 441 446, 1993.

The following program puts this framework into action It creates two threads, IncThread and DecThread, which both access a shared resource called SharedResCount IncThread increments SharedResCount and DecThread decrements it To prevent both threads from accessing SharedResCount at the same time, access is synchronized by the Mtx mutex, which is also part of the SharedRes class

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// Use a Mutex using System; using SystemThreading; // This class contains a shared resource (Count), // and a mutex (Mtx) to control access to it class SharedRes { public static int Count = 0; public static Mutex Mtx = new Mutex(); } // This thread increments SharedResCount class IncThread { int num; public Thread Thrd; public IncThread(string name, int n) { Thrd = new Thread(thisRun); num = n; ThrdName = name; ThrdStart(); } // Entry point of thread void Run() { ConsoleWriteLine(ThrdName + " is waiting for the mutex"); // Acquire the Mutex SharedResMtxWaitOne(); ConsoleWriteLine(ThrdName + " acquires the mutex"); do { ThreadSleep(500); SharedResCount++; ConsoleWriteLine("In " + ThrdName + ", SharedResCount is " + SharedResCount); num--; } while(num > 0); ConsoleWriteLine(ThrdName + " releases the mutex"); // Release the Mutex SharedResMtxReleaseMutex(); } }

61 INTRODUCTION 160 62 CAM PROFILE GRAPHICAL LAYOUT 160 63 CAM PRESSURE ANGLE 162 631 Introduction 162 632 Pressure Angle Forces Translating Roller Follower 163 633 Pressure Angle Forces Oscillating, Roller Follower 166 634 Pressure Angle Forces Translating Flat-Faced Follower 168

Part II:

// This thread decrements SharedResCount class DecThread { int num; public Thread Thrd; public DecThread(string name, int n) { Thrd = new Thread(new ThreadStart(thisRun)); num = n; ThrdName = name; ThrdStart(); } // Entry point of thread void Run() { ConsoleWriteLine(ThrdName + " is waiting for the mutex"); // Acquire the Mutex SharedResMtxWaitOne(); ConsoleWriteLine(ThrdName + " acquires the mutex"); do { ThreadSleep(500); SharedResCount--; ConsoleWriteLine("In " + ThrdName + ", SharedResCount is " + SharedResCount); num--; } while(num > 0); ConsoleWriteLine(ThrdName + " releases the mutex"); // Release the Mutex SharedResMtxReleaseMutex(); } } class MutexDemo { static void Main() { // Construct three threads IncThread mt1 = new IncThread("Increment Thread", 5); ThreadSleep(1); // let the Increment thread start DecThread mt2 = new DecThread("Decrement Thread", 5); mt1ThrdJoin(); mt2ThrdJoin(); } }

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