This article presents a theoretical and numerical study of bolted sleeve connections with rectangular hollow sections (RHS) under axial tension compression. The geometric form section provides resistance for high loads, torsion combines effects, spreading its utilization in truss systems. In this context, the proposed explore these characteristics RHS offer an attractive aesthetic appearance co...

A Z-graded Lie bracket { , }P on the exterior algebra Ω(M) of differential forms, which is an extension of the Poisson bracket of functions on a Poisson manifold (M,P ), is found. This bracket is simultaneously graded skew-symmetric and satisfies the graded Jacobi identity. It is a kind of an ‘integral’ of the Koszul-Schouten bracket [ , ]P of differential forms in the sense that the exterior d...

In this research, the effects of torque tightening on the stress distribution in double lap simple bolted and hybrid (bolted-bonded) joints have been investigated numerically. In order to determine the bolt clamping force value due to tightening torque in simple bolted and hybrid joints, which is necessary in numerical simulation, an experimental approach has been proposed. To do so, two kinds ...

We show that based on the mathematics of Markow processes and in particular based on the definition of Kramers-Moyal coefficients it is possible to estimate the deterministic part of the dynamics for a broad class of nonlinear noisy systems. In particular we show that for different kinds of noise perturbations, including non Langevin force with finite correlation time and independent measuremen...

One of the most prohibiting factors when attempting to reuse structural steel members or systems of members is the time and labour required to accurately determine dimensions. Current practices dictate that all required measurements are recorded by hand using tape measures and calipers which adds a significant cost to reused steel. To mitigate this cost, a semi-automated method for identifying ...

The topic of connections is often given only limited attention in structural analysis and design of buildings, despite the fact that they can play a critical role in the structure. It is customary practice in the U.S. for the structural engineer to design the structural members, but leave the connection details to the steel fabricator. While this practice is more efficient and pragmatic in some...

We discuss various symmetry properties of the reparametrization invariant toy model of a free non-relativistic particle and show that its commutativity and noncommutativity (NC) properties are the artifact of the underlying symmetry transformations. For the case of the symmetry transformations corresponding to the noncommutative geometry, the mass parameter of the toy model turns out to be nonc...

The purpose of this review is to describe in some detail the mathematical relationship between geometrodynamics and connection dynamics in the context of the classical theories of 2+1 and 3+1 gravity. I analyze the standard Einstein-Hilbert theory (in any spacetime dimension), the Palatini and ChernSimons theories in 2+1 dimensions, and the Palatini and self-dual theories in 3+1 dimensions. I a...

During the starting up of pump mode in turbines, axial hydraulic force acting on runner would develop with guide vane opening. It causes deformation and stress support bracket, main shaft runner, which influence operation security. In this case, turbine is studied during mode. Its influences bracket are investigated detail. Based prediction results force, starting-up process can be divided into...

The associator of a non-associative algebra is the curvature of the Hochschild quasi-complex. The relationship “curvature-associator” is investigated. Based on this generic example, we extend the geometric language of vector fields to a purely algebraic setting, similar to the context of Gerstenhaber algebras. We interprete the elements of a non-associative algebra with a Lie bracket as “vector...