Abstract Structural elements in the form of annular sectorial plates are widely used aeronautical, biomedical, and marine engineering. When these components exposed to dynamic load, large-amplitude vibrations occur. The vibration response analysis based on linear strain-displacement relation typically yields a conservative estimate can be as first approximation actual solution for thin structur...

This paper describes an Arc add-in for the delta method for regression models. The method works for linear models, generalized linear models, nonlinear models and also for generalized nonlinear models. The delta method is a procedure for finding estimates and approximate standard errors of arbitrary functions of normally distributed random variables. As implemented in Arc, the delta method is u...

A new method is proposed to detect circular arcs. The detection of a circular arc includes the determination of its center, radius, length, and midpoint. The Hough transform is applied to detect circular arcs by using center and radius as parameters. A peak value in the parameter space of the Hough transform indicates the existence of a circular arc. The center and radius of the circular arc ar...

In order to establish titanium welding technology TIG arc weldability and MIG arc weldability were surveyed. For TIG arc weldability influence of arc length and thickness to proper region of welding condition became obvious. For MIG arc weldability a new method to defend wandering phenomenon was developed.

A singular flat geometry may be canonically assigned to a real algebraic curve Γ; namely, via analytic continuation of unit speed parameterization of the real locus ΓR. Globally, the metric ρ = |Q| = |q(z)|dzdz̄ is given by the meromorphic quadratic differential Q on Γ induced by the standard complex form dx + dy on C = {(x, y)}. By considering basic properties of Q, we show that the condition f...

We propose a method to detect circular arcs, including the determinations of their centers, radii, lengths, and midpoints. The center, radius of a circular arc can easily be determined using circular Hough transform. But, the determinations of the arc midpoint and length are more complicated. Theoretical analysis of the centroid of the near peak Hough transform data is presented. Then, the arc ...

We present the first treatment of the arc length of the Gaussian Process (gp) with more than a single output dimension. Gps are commonly used for tasks such as trajectory modelling, where path length is a crucial quantity of interest. Previously, only paths in one dimension have been considered, with no theoretical consideration of higher dimensional problems. We fill the gap in the existing li...