Abstract: A multi-degree-of-freedom electromagnetic machine that may be operated as a motor, a generator, or a motor-generator, includes a first structure and a second structure. The first structure comprises a first conductor, a second conductor, and a third conductor, each of which follows a different trajectory. The first, second, and third conductors together form a general shape of a surface. The second structure is disposed adjacent to the first structure and includes a magnet that emanates a magnetic field. The magnet has at least one of its magnetic poles facing the surface. A Lorentz force affects relative movement between the first structure and the second structure when the magnetic field that emanates from the at least one magnetic pole interacts with electrical currents within any of the electrical conductors.

Abstract: A multi-degree-of-freedom electromagnetic machine that may be operated as a motor, a generator, or a motor-generator, includes a first structure and a second structure. The first structure comprises a first conductor, a second conductor, and a third conductor, each of which follows a different trajectory. The first, second, and third conductors together form a general shape of a surface. The second structure is disposed adjacent to the first structure and includes a magnet that emanates a magnetic field. The magnet has at least one of its magnetic poles facing the surface. A Lorentz force affects relative movement between the first structure and the second structure when the magnetic field that emanates from the at least one magnetic pole interacts with electrical currents within any of the electrical conductors.

Abstract: Process and apparatus for measuring variations in a stream of material, such as thickness in a strip from a mill. A radiation source and detector are positioned at a gauging station. The stream of material moves past the station providing an electrical signal varying as a function of material at the station which signal includes a lower frequency component, a higher frequency cyclical component, and a higher frequency noise component. A circuit for providing a thickness output varying as a function of the lower frequency component of the signal, and a circuit providing an output indicating chatter varying as a function of the higher frequency cyclical component. Digital and analog versions are disclosed.