Computational Modelling Group

Seminar  15th March 2012 noon  B28/ Rm2001 (Ship Science)

Inverse Eigenstructure Assignment

Prof. Huajiang Ouyang
University of Liverpool

Web page
http://tulip.liv.ac.uk/pls/new_portal/tulwwwmerge.mergepage?p_template=m_eg&p_tulipproc=staff&p_params=%3Fp_func%3Dtab2%26p_hash%3DA579652%26p_url%3DEG%26p_template%3Dm_eg
Categories
Structural dynamics
Submitter
Luke Goater

Prof.Huajiang Ouyang

Inverse Eigenstructure Assignment by Means of Structural Modifications

The inverse eigenstructure assignment in undamped vibrating systems aims at determining the mass and stiffness parameters to ensure the desired dynamic behaviour expressed in term of the prescribed eigenstructure. Several methods have been developed for the solution of this problem in the past. However, in the techniques proposed so far, all the design variables are assumed to be continuous. In practice, some design variables can only be changed through discrete modifications since either standard mass modules or springs are available. The determination of the discrete optimal solution of the structural modification problem cannot be performed by simply rounding the continuous optimal solution to the “nearest” integer, since rounded solutions can be considerably far from the optimality. To overcome this limitation, in this work, the eigenstructure assignment is formulated firstly as an inverse eigenvalue problem within the frame of constrained nonlinear integer programming, and then is solved by means of a partial enumeration technique. The experimental validation of the method on a five-degree-of-freedom lumped-parameter rig demonstrates its capability in computing the effective modifications meeting the prescribed requirements and satisfying all the constraints. This work is the result of collaboration with Dr Gabriele Zanardo of Johannes Kepler University, Profs Alberto Trevisani and Dario Richiedei of University of Padua.

Refreshments will be available.