Design sensitivity analysis of dynamic systems using Hamilton's law of varying action
type: Item
instance of: scholarly article
title: Design sensitivity analysis of dynamic systems using Hamilton's law of varying action
zbMATH Open document ID: 0842.70012
DOI: 10.1016/0020-7403(94)00098-5
author: Venkata R. Sonti
author: Om P. Agrawal
published in: International Journal of Mechanical Sciences
publication date: 1996-08-12T00:00:00Z
review text: Sensitivity vectors are computed directly from the energy equation without using the differential equations. The variations of the initial conditions have been added to the Hamilton's law through Lagrange multipliers, and the boundary conditions can be added in a similar way. The considered systems are finite degree of freedom linear systems (mass points, springs and dampers). The state variables and their variations are approximated by truncated sum of orthogonal polynomials, and in this way sparse algebraic equations were obtained. Four numerical examples are given, two with one-degree-of-freedom and two with two-degree-of-freedom systems. Results obtained by the authors' method and those calculated by Runge-Kutta integration technique show a good agreement.
Mathematics Subject Classification ID: 70J99
Mathematics Subject Classification ID: 70J25
Mathematics Subject Classification ID: 70-08
zbMATH DE Number: 807532
zbMATH Keywords: energy equation
zbMATH Keywords: Lagrange multipliers
zbMATH Keywords: truncated sum of orthogonal polynomials
zbMATH Keywords: sparse algebraic equations
reviewed by: Á. P. Bosznay
MaRDI profile type: Publication
full work available at URL: 0020-7403(94)00098-5
OpenAlex ID: W1981235636
description: scientific article; zbMATH DE number 807532