Closed-form position analysis of variable geometry trusses

Closed-Form Position Analysis of Variable Geometry Trusses

Variable geometry trusses are composed, in general, of unit cells which can be modeled as bars connected by spherical joints. Under mild conditions, it has been shown that the only feasible cells are topologically equivalent to bipyramids. Unfortunately, using standard formulations, the closed-form position analysis of bipyramids is not a trivial task. Actually, it has only been achieved for bi...

On Closed-Form Solutions to the Position Analysis of Baranov Trusses

The exact position analysis of a planar mechanism reduces to compute the roots of its characteristic polynomial. Obtaining this polynomial usually involves, as a first step, obtaining a system of equations derived from the independent kinematic loops of the mechanism. Although conceptually simple, the use of kinematic loops for deriving characteristic polynomials leads to complex variable elimi...

Closed-Form Solution to the Position Analysis of Watt-Baranov Trusses Using the Bilateration Method

The exact position analysis of a planar mechanism reduces to compute the roots of its characteristic polynomial. Obtaining this polynomial almost invariably involves, as a first step, obtaining a system of equations derived from the independent kinematic loops of the mechanism. The use of kinematic loops to this end has seldom been questioned despite deriving the characteristic polynomial from ...

A closed-form solution for the position analysis of a novel fully spherical parallel manipulator - ERRATUM

Closed Form Prediction Intervals for a Binomial Random Variable

A prediction interval for a binomial random variable is an important tool in many industry applications. The performance of the existing prediction intervals, however, are unsatisfactory when the true binomial proportion is near a boundary. Since the true proportion can be very small in real applications, in this study, we propose improved prediction intervals with better coverage probability t...