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On the natural vibrations of linear structures with constraints

In English

Författare

Summary, in English

The undamped natural vibrations of a constrained linear structure are given by the solutions to a generalized eigenvalue problem derived from the equations of motion for the constrained system involving Lagrangian multipliers. The eigenvalue problem derived is defined by the mass matrix of the unconstrained structure and a non-symmetric and singular stiffness matrix for the constrained system. The character of the solution of the eigenvalue problem of the constrained system is stated and proved in a Theorem. Applications of the constrained eigenvalue problem to some simple structures are demonstrated. Finally a condition for the calculation of the damped natural vibrations for the constrained structure in terms of the undamped mode shapes is formulated. (c) 2006 Elsevier Ltd. All rights reserved.

Avdelning/ar

Publiceringsår

2007

Språk

Engelska

Sidor

341-354

Publikation/Tidskrift/Serie

Journal of Sound and Vibration

Volym

301

Issue

1-2

Dokumenttyp

Artikel i tidskrift

Förlag

Elsevier

Ämne

  • Applied Mechanics

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0022-460X