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Inverse structural modification using constraints

In English

Författare

Summary, in English

In a structural modification problem the mass and stiffness matrices are modified to obtain a desired spectrum. In this paper, this is done by imposing constraints on the structure. The undamped natural vibrations of a constrained linear structure are calculated by solving a generalized eigenvalue problem derived from the equations of motion for the constrained system involving Lagrangian multipliers. The coefficients of the constraint matrix are taken as design variables and a set of equations defining the inverse structural modification problem is formulated. This modification problem requires an iterative method for its solution. An algorithm based on Newton's method is employed. Each iteration step involves the calculation of a rectangular Jacobian and the solving of an associated underdetermined system of linear equations. The system can be solved by using the Moore–Penrose inverse. The method is demonstrated in some numerical examples.

Avdelning/ar

Publiceringsår

2007

Språk

Engelska

Sidor

767-779

Publikation/Tidskrift/Serie

Journal of Sound and Vibration

Volym

303

Issue

3-5

Dokumenttyp

Artikel i tidskrift

Förlag

Elsevier

Ämne

  • Applied Mechanics

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0022-460X