this paper is an investigation of $l$-dual frames with respect to a function-valued inner product, the so called $l$-bracket product on $l^{2}(g)$, where g is a locally compact abelian group with a uniform lattice $l$. we show that several well known theorems for dual frames and dual riesz bases in a hilbert space remain valid for $l$-dual frames and $l$-dual riesz bases in $l^{2}(g)$.

The main objective of the present paper is to provide a simple analytical solution for describing expansion two-layer tube under plane-strain conditions its subsequent use in preliminary design hydroforming processes. Each layer’s constitutive equations are an arbitrary pressure-independent yield criterion, associated plastic flow rule, and hardening law. elastic portion strain neglected. metho...

a heyting algebra is a distributive lattice with implication and a dual $bck$-algebra is an algebraic system having as models logical systems equipped with implication. the aim of this paper is to investigate the relation of heyting algebras between dual $bck$-algebras. we define notions of $i$-invariant and $m$-invariant on dual $bck$-semilattices and prove that a heyting semilattice is equiva...

High-pressure tube hydroforming is a promising method to deform the tubes in various shapes by bulging applying high internal pressure. However, challenges lie process itself, i.e., requires an expensive pump system and brings excessive thinning deformed part section. One option reduce required pressure solve these difficulties, other provide axial feed deformation zone thinning. due higher loa...

objectives: the aim of this study was to identify the role of attentional process in postural control using choice reaction time task while changing the visual and proprioceptive cues under difficult balance task (standing on one-leg). methods: this cross-sectional study was conducted by participating 20 young people (22.75±2.29). each subject performed one-leg standing as balance task for each...

forming limit curve (flc) is an important tool for evaluation of formability of sheet metals subjected to different loading. free bulge of aluminume tubes has been investigated numerically to obtain flc. to verify the numerical results one experimental setup has been manufactured which has the ability of controlling the internal pressure and axial feed. in this study, time and zone of bursting ...

In this study, a numerical/experimental analysis is proposed to investigate the possibility of reshaping sheet metal-based End-of-Life (EoL) components using Hydroforming (SHF). Returned EoL are challenging be reformed, they usually characterised by high heterogeneity as there localised thinning areas (caused original forming processes), and overall formability reduced with respect flat materia...

Fibre metal laminates, hybrid composite materials built up from interlaced layers of thin metals and fibre reinforced adhesives, are future-proof used in the production passenger aircraft, yachts, sailplanes, racing cars, sports equipment. The most commercially available fibre–metal laminates carbon aluminium aramid glass laminates. This review emphasises developing technologies for forming met...