Finite element reanalysis of real eigenvalue problem. Case study of vibration eigenvalue.
نویسندگان
چکیده
منابع مشابه
Nonconforming finite element approximations of the Steklov eigenvalue problem
Article history: Received 27 November 2008 Received in revised form 27 March 2009 Accepted 22 April 2009 Available online 3 May 2009 MSC: 65N25 65N30 65N15
متن کاملFinite element approximation of a non-Lipschitz nonlinear eigenvalue problem
Given p e (0, 1), we consider the following problem find u # 0, such that AM = [uf+ =u p in a u = 0 on dO , where Q, er IR is a C 1 domain We prove a near optimal L error bound for the Standard continuous piecewise line ar Galerkin finite element approximation withan acute triangulation In addition we analyse a more practical approximation us ing numerical intégration on the nonlinear term, pro...
متن کاملApplication of Decoupled Scaled Boundary Finite Element Method to Solve Eigenvalue Helmholtz Problems (Research Note)
A novel element with arbitrary domain shape by using decoupled scaled boundary finite element (DSBFEM) is proposed for eigenvalue analysis of 2D vibrating rods with different boundary conditions. Within the proposed element scheme, the mode shapes of vibrating rods with variable boundary conditions are modelled and results are plotted. All possible conditions for the rods ends are incorporated ...
متن کاملExternal finite element approximations of eigenvalue problems
— The paper is devote d to the finit e element analysis of second order e Hipt ie eigenvalue problems in the case when the approximate domains Oh are not subdomains of the original domain fl a U. The considérations are restricted to piecewise linear approximations and in the case of eigenfunctions to simple eigenvalues. The optimum rates of convergence for hoth the approximate eigenvalues and t...
متن کاملOn the nonnegative inverse eigenvalue problem of traditional matrices
In this paper, at first for a given set of real or complex numbers $sigma$ with nonnegative summation, we introduce some special conditions that with them there is no nonnegative tridiagonal matrix in which $sigma$ is its spectrum. In continue we present some conditions for existence such nonnegative tridiagonal matrices.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
سال: 1986
ISSN: 0387-5024,1884-8354
DOI: 10.1299/kikaic.52.2313