Discover a fast and powerful calculus-based method for finding square roots with impressive accuracy. This explanation shows how derivatives and iterative approximation can be used to quickly zero in ...

The dynamic behavior of cylindrical shells is essential in many practical applications. These include in-vacuum and coupled vibrations of structures with contained fluids. Closed-form solutions are ...

YAESE, Okinawa — Japanese troops demonstrated a new, explosion-proof container Wednesday that improves safety during the removal of unexploded U.S.-made ordnance left over from World War II. The demo ...

Learning Assistant Juan Ignacio Sanchez Quintana, center, works with a student in Calculus I class. FIU changed the way it teaches calculus, and managed to increase the pass rate. Miami, Florida, ...

This paper investigates a metamaterial cylindrical shell with local resonators for broadband longitudinal wave attenuation. A three-component phononic crystal metamaterial cylindrical shell that opens ...

Abstract: Accurate calculation of natural frequencies is significant for accurate prediction and suppression of motor vibration and noise. In order to reduce the errors caused by simplified structure ...

Abstract: Transfer matrix method is employed to analyze the natural frequencies and natural modes of circular cylindrical shells in this paper. Using the Flugge shell theory, which is more accurate ...

Newton’s shell theorem asserts that the net gravitational force between a point particle and a sphere with uniform mass density is the same as the force in the situation where the sphere is replaced ...