Abstract: Pontryagin’s Maximum Principle is used to determine the journal bearing which supports the maximum load for a given minimum film thickness and a specified load direction. The one-dimensional ...

Abstract: Contemporary methods for treating inequality constraints in the calculus of variations are employed to determine the maximum load-capacity one-dimensional slider bearing using a lubricant with ...

Abstract: Bounded variable methods of the calculus of variations are used to determine the optimum or maximum load capacity hydrodynamic one-dimensional gas slider bearing. A lower bound is placed on the ...

Abstract: Light weight shafts reduce bearing forces and allow the use of smaller bearings, seals, and supports. The Minimum Principle is used to set up the problem of determining the minimum weight ...

Abstract: The Minimum Principle is used to obtain the minimum weight one-dimensional cooling fin without the length-of-arc assumption. This approach enlarges the class of optimum fin designs available for ...

Abstract: The design of the least weight circular cooling fin is obtained through an application of the Minimum Principle. The fin temperature, thickness, and heat flux are considered to be functions ...

Abstract: The bifilar pendulum is often used for indirect measurements of mass moments of inertia of bodies that possess complex geometries. The exact equation of motion of the bifilar pendulum is highly ...

Abstract: The design of multivariable control systems for modern applications is an important challenge to the control system engineer. Active control of metal machining operations, control of gas turbine ...

Abstract: The optimum Rayleigh gas slider bearing is determined for a range of bearing numbers. Numerical methods are used to calculate step location, step pressure, and load capacity for given values ...