Dynamic Analysis of Structures Using Lanczos Coordinates,

Abstract

A procedure for deriving the Lanczos Coordinates is explained and their use in structural dynamics analysis as an alternative to modal coordinates is discussed. The coordinates are obtained by an inverse iteration procedure in which orthogonality is imposed between the vectors resulting from successive iteration cycles. Using these Lanczos coordinates the equations of motion are transformed to tridiagonal form, which provides for very efficient time-stepping solution. The effectiveness of the method is demonstrated by a numerical example. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1983
Accession Number
ADA136387

Entities

People

  • B. Nour-omid
  • R. W. Clough

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Amplitude
  • Applied Mathematics
  • Coefficients
  • Computational Science
  • Computations
  • Displacement
  • Dynamic Response
  • Earthquake Engineering
  • Engineering
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Mechanics
  • Modulus Of Elasticity
  • Sequences
  • Transient Response Analysis

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)