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This article describes a shooting method for computing three-dimensional equilibria of pre-curved nonlinear beams with axial and shear flexibility using the intrinsic beam formulation.
The self-similar film profile is determined numerically by a shooting method for α and β between 0 and 180°.
Assuming a two-period delay at most, an algorithm based on an existing shooting method for DDEs is developed to simulate tool dynamics and seek periodic solutions.
We construct a two-stage Lie-group shooting method for finding unknown initial conditions, which are obtained through an iterative solution of derived algebraic equations in terms of a weighting factor.
The latter give rise to an interesting non-linear eigenvalue problem describing a spectrum of whirling modes that is amenable to numerical investigation by using the shooting method for two-point boundary value problems.
The non-trivial boundary conditions create some difficulties and we find that sixth order systems for elasticity problems will require a shooting method for two functions of two unknown parameters over and above the calculations required for comparable problems in fluids.
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Several algorithms based on shooting methods for boundary value problems are used in this task, and some appropriate ways of tackling the simple initial value problem of simulation are also employed.
By giving simply supported boundary conditions and assuming that the material properties of the plate have an exponential law distribution along the thickness-coordinate, the equations were solved by the numerical Laplace transformations and shooting methods for transient thermal responses of a three dimensional functionally graded rectangular plate due to a thermal shock on its top surface.
Reference standards, which have been chemically synthesized and confirmed by NMR, were used to establish a liquid chromatography-electrospray ionization (LC-ESI -MS/MS-based "diLC-ESI -MS/MS-basedhod for the detection, unambiguous identification, and quantification of both suLC-ESI -MS/MS-based wheat extracts.
Shooting method and frequency sweep results match for large ranges of frequency.
Shooting method is used to obtain the initial conditions for periodic response.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com