✦ LIBER ✦

Iterative techniques for non-linear eigenvalue buckling problems

✍ Scribed by Mirasso, Anibal E. ;Godoy, Luis A.

Publisher: Wiley (John Wiley & Sons)
Year: 1992
Tongue: English
Weight: 365 KB
Volume: 8
Category: Article
ISSN: 0748-8025
DOI: 10.1002/cnm.1630080505

No coin nor oath required. For personal study only.

✦ Synopsis

Structural stability problems under displacement-dependent loads often take the form of non-linear eigenvalue problems in which the eigenvalue is raised to an exponent. Iterative techniques are considered in this work for the solution of non-linear eigenproblems of the form ( K -MI -K2(XP))x=0. The problem is linearized at each iteration using two alternative procedures: through updating the stiffness matrix K or else by updating the initial stress matrix. Numerical examples are used to illustrate the difficulties associated with the first technique, whereas it is shown that the second one yields better convergence rates than other existing techniques.

📜 SIMILAR VOLUMES

Non-linear optimization technique for pa

Non-linear optimization technique for partial solution of generalized eigenvalue problems

✍ B. Marcos; J. G. Béliveau 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 484 KB

EQUILIBRIUM BASED ITERATIVE SOLUTIONS FO

EQUILIBRIUM BASED ITERATIVE SOLUTIONS FOR THE NON-LINEAR BEAM PROBLEM

✍ MARCO PETRANGELI; VINCENZO CIAMPI 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 174 KB 👁 2 views

The paper describes a procedure for the non-linear analysis of structures which are an assemblage of beams with material non-linearities of general type; the approach uses the equilibrium integrals and a consistent iterative formulation at the element level, within the general framework of the displ

An inexact inverse iteration for large s

An inexact inverse iteration for large sparse eigenvalue problems

✍ Yu-Ling Lai; Kun-Yi Lin; Wen-Wei Lin 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 111 KB 👁 2 views

In this paper, we propose an inexact inverse iteration method for the computation of the eigenvalue with the smallest modulus and its associated eigenvector for a large sparse matrix. The linear systems of the traditional inverse iteration are solved with accuracy that depends on the eigenvalue with

Method of iterative linearization to sol

Method of iterative linearization to solve non-linear stochastic vibration problems

✍ Gao, Shiqiao ;Niemann, H.-J. 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 229 KB 👁 1 views

In this paper, an iterative method of statistic linearization (IMSL) is presented to solve non-linear stochastic vibration equations. This method represents an improvement over the classical linearization method. The method uses the solution of the corresponding linear vibration equation as an initi

Computational techniques for optimizatio

Computational techniques for optimization of problems involving non-linear transient simulations

✍ G. A. Galarza; J. Carrera; A. Medina 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 273 KB 👁 1 views

Many optimization problems in engineering require coupling a mathematical programming process to a numerical simulation. When the latter is non-linear, the resulting computer time may become una ordably large because three sequential procedures are nested: the outer loop is associated to the optimiz

Edge-based finite element techniques for

Edge-based finite element techniques for non-linear solid mechanics problems

✍ Alvaro L. G. A. Coutinho; Marcos A. D. Martins; José L. D. Alves; Luiz Landau; A 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 413 KB