𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the construction of physical systems from spectral data

✍ Scribed by Zimoch, R. Z.

Publisher
Wiley (John Wiley & Sons)
Year
1990
Tongue
English
Weight
357 KB
Volume
6
Category
Article
ISSN
0748-8025

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

This paper presents an algorithm for the solution of the inverse problem for a matrix differential equation of the form Aẍ + BαΊ‹ + Cx = 0. In the method use is made of the Taylor formula for a matrix function of many variables. It is shown that the algorithm is always convergent. The paper includes a description of the appropriate algorithms and numerical examples.

πŸ“œ SIMILAR VOLUMES

On the Construction of an Euler-Bernoull
On the Construction of an Euler-Bernoulli Beam from Spectral Data
✍ B.D. LowΓ© πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 190 KB

A numerical method for approximating coefficients in an Euler-Bernoulli beam equation from spectral data is proposed. The technique is based on a shooting method and constructs a beam that has the given spectral data. Numerical examples illustrate the performance of the method.

THE CONSTRUCTION OF PHYSICAL PARAMETERS
THE CONSTRUCTION OF PHYSICAL PARAMETERS FROM MODAL DATA
✍ S. BURAK; Y.M. RAM πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 112 KB

R To be distinguished from the element sti!ness and mass matrices which are the products of the connectivity matrices with the appropriate physical parameter factors.

The construction of band symmetric model
The construction of band symmetric models for vibratory systems from modal analysis data
✍ Y.M. Ram; S. Elhay πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 458 KB

Some natural frequencies and their corresponding mass normalized mode shapes of physical structures may be measured by experiment. Since the discretization of the continuous model of the structure reflects only a limited degree of coupling between model elements, the associated mass and stiffness ma

On the construction of odd cycle systems
On the construction of odd cycle systems
✍ D. G. Hoffman; C. C. Lindner; C. A. Rodger πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 406 KB

Three obvious necessary conditions for the existence of a k-cycle system of order n are that if n > 1 then n 1 k, n is odd, and 2 k divides n(n -1). We show that if these necessary conditions are sufficient for all n satisfying k I n < 3k then they are sufficient for all n. In particular, there exis