The aim of the study is numerical analysis a bolted connection under conditions loss bearing capacity some fasteners in this connection. joined plates were made 3D finite elements, while treated as hybrid models consisting rigid heads and nuts flexible beams between them. A model unilateral contact with friction was used plates. first preloaded according to three different tensioning sequences ...

While the problem of determining whether an embedding a graph G in $${\mathbb {R}}^2$$ is infinitesimally rigid well understood, specifying given or not still hard task that usually requires ad hoc arguments. In this paper, we show every (not necessarily generic) dense enough (concretely, with at least $$C_0n^{3/2}(\log n)^{\beta }$$ edges, for some absolute constants $$C_0>0$$ and $$\beta $$ )...

We calculate the relevant Spencer cohomology of minimal Poincar\'e superalgebra in 5 spacetime dimensions and use it to define Killing spinors via a connection on spinor bundle 5-dimensional lorentzian spin manifold. give definition bosonic backgrounds terms this data. By imposing constraints curvature connection, we recover field equations (ungauged) supergravity, but also find set for an $\ma...

We investigate the minimal and isoperimetric surface problems in a large class of sub-Riemannian manifolds, the so-called Vertically Rigid spaces. We construct an adapted connection for such spaces and, using the variational tools of Bryant, Griffiths and Grossman, derive succinct forms of the Euler-Lagrange equations for critical points for the associated variational problems. Using the Euler-...

Mutual Information (MI) and normalized mutual information (NMI) are popular choices as similarity measure for multimodal image registration. Presently, one of two approaches is often used for estimating these measures: The Parzen Window (PW) and the Generalized Partial Volume (GPV). Their theoretical relation has so far been unexplored. We present the direct connection between PW and GPV for NM...

The behaviour of beam-column joint plays an important role in the response of a steel moment resisting framed structure especially under seismic excitation. Semi rigid connections like bolted joints, allow better energy dissipation and provide good response under lateral loads. In this paper the ductility and energy dissipation characteristics of semi rigid bolted connections using double web a...

We give a unified interpretation of confluences, contiguity relations and Katz’s middle convolutions for linear ordinary differential equations with polynomial coefficients and their generalization to partial differential equations. The integral representations and series expansions of their solutions are also within our interpretation. As an application to Fuchsian differential equations on th...

ABSTRACT: In this study, large-deformation and small-strain elasto-plastic analysis of space frames with symmetric cross sections and semi-rigid connections are presented. The effect of axial forces on the bending moment and lateral buckling are included. However, axial-torsional and warping effects are omitted. The Eulerian equations for a beam-column with finite rotation taking into account b...

We construct a functor from the category of p-adic étale local systems on a smooth rigid analytic variety X over a p-adic field to the category of vector bundles with an integrable connection on its “base change to BdR”, which can be regarded as a first step towards the sought-after p-adic Riemann-Hilbert correspondence. As a consequence, we obtain the following rigidity theorem for p-adic loca...

This paper studies the practical but challenging problem of motion planning for a deeply submerged rigid body. Here, we formulate the dynamic equations of motion of a submerged rigid body under the architecture of differential geometric mechanics and include external dissipative and potential forces. The mechanical system is represented as a forced affine-connection control system on the config...