Topic
Quintic function
About: Quintic function is a research topic. Over the lifetime, 1677 publications have been published within this topic receiving 26780 citations.
Papers published on a yearly basis
Papers
More filters
Journal Article•
6 citations
TL;DR: In this paper, a novel modification of quintic B-spline differential quadrature method is given and the obtained algebraic system do not have any ghost points, therefore, the equation system is solvable and doesn't need any additional equation.
6 citations
TL;DR: An explicit formula for the most general root of a solvable polynomial of prime degree is given in this article, which can be expressed rationally in terms of a single compound radical determined by the roots of a cyclic polynomial whose degree divides μ − 1, where μ is the prime.
6 citations
TL;DR: In this paper, the free vibration of layered circular cylindrical shells of variable thickness is studied using spline function approximation by applying a point collocation method, where the shell is made up of uniform layers of isotropic or specially orthotropic materials.
Abstract: Free vibration of layered circular cylindrical shells of variable thickness is studied using spline function approximation by applying a point collocation method. The shell is made up of uniform layers of isotropic or specially orthotropic materials. The equations of motions in longitudinal, circumferential and transverse displacement components, are derived using extension of Love’s first approximation theory. The coupled differential equations are solved using Bickley-type splines of suitable order, which are cubic and quintic, by applying the point collocation method. This results in the generalized eigenvalue problem by combining the suitable boundary conditions. The effect of frequency parameters and the corresponding mode shapes of vibration are studied with different thickness variation coefficients, and other parameters. The thickness variations are assumed to be linear, exponential, and sinusoidal along the axial direction. The results are given graphically and comparisons are made with those results obtained using finite element method.
6 citations
Posted Content•
TL;DR: In this article, it was shown that a smooth special Lagrangian submanifold can be obtained from five copies of RP^3 intersecting pairwise in a quintic.
Abstract: The purpose of this paper is to give an application of the gluing theorem for special Lagrangian submanifolds of a Calabi-Yau 3-fold. We proved a gluing theorem before to smooth a codimension-two singularity of a particular special Lagrangian submanifold. In this paper we will show that this theorem can be applied to more general cases where different special Lagrangians are intersecting and gives a way of constructing new special Lagrangian submanifolds. As an example we will show that a smooth special Lagrangian submanifold can be obtained from five copies of RP^3 intersecting pairwise in a quintic.
6 citations