Die corner filling is very important in tube hydroforming process. Definition of the internal pressure path is a key factor in improving the corner filling.  However, the factors that cause improvement of corner filling are still unclear. In this paper, effect of bilinear pressure path on corner filling in hydroforming of tube in box-shape die is studied using both finite element simulation and...

hydromechanical deep drawing (hdd) is one of the most convenient processes in which a sheet metal is drawn against a counter pressure rather than a rigid die in conventional stampings. this process has been increasingly used to produce aerospace and automotive components. more recently, aerospace industry is demanding new materials with capability to produce high strength to weight ratio produc...

Bilinear flow occurs when fluid is drained from a permeable matrix by producing it through an enclosed fracture of finite conductivity intersecting a well along its axis. The terminology reflects the combination of two approximately linear flow regimes: one in the matrix with flow essentially perpendicular to the fracture, and one along the fracture itself associated with the non-negligible pre...

Double-sampling allows to double the sampling frequency of a Σ∆ ADC without increasing the clock frequency. Unfortunately, path mismatch between the double-sampling branches causes noise folding, which ruins the performance. The fully-floating integrator is an interesting circuit to be used in such a double-sampling Σ∆ ADC because it is tolerant to path mismatch. However, this circuit exhibits ...

in sheet metal forming processes, one-stage production of conical-cylindrical parts with high accuracy is very difficult due to wrinkling and rupturing. hydrodynamic deep drawing assisted by radial pressure is one of the most applicable procedures in sheet hydroforming process on the point of producing conical-cylindrical parts. in this paper, forming pressure path is investigated as one of the...

We prove error estimates for the following two mixed finite element methods related to reduced integration: A method for Stokes' problem using rectangular elements with piecewise bilinear approximations for the velocities and piecewise constants for the pressure, and one method for a plate problem using bilinear approximations for transversal displacement and rotations and piecewise constants f...

Wheeling: A Diagrammatic Analogue of the Duflo Isomorphism We construct and prove a diagrammatic version of the Duflo isomorphism between the invariant subalgebra of the symmetric algebra of a Lie algebra and the center of the universal enveloping algebra. This version implies the original for metrized Lie algebras (Lie algebras with an invariant non-degenerate bilinear form). As an application...

As an application of Hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)-dimensional nonlinear evolution equation in much simpler way in comparison to other existing methods. We have derived bilinear form of nonlinear evolution equation and using this bilinear form, bilinear Backlund transformations and construction of ...

We consider a continuous path of bounded symmetric Fredholm bilinear forms with arbitrary endpoints on a real Hilbert space, and we prove a formula that gives the spectral flow of the path in terms of the spectral flow of the restriction to a finite codimensional closed subspace. We also discuss the case of restrictions to a continuous path of finite codimensional closed subspaces. As an applic...