liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
Optimization of viscoelastic junctions with regard to transmission of wave energy
ABB Corporate Research, SE-721 78, Västerås, Sweden.
Ångström Laboratory, Uppsala University, 534, SE-751 21, Uppsala, Sweden.
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2001 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, Vol. 240, no 3, 467-481 p.Article in journal (Refereed) Published
Abstract [en]

Reflection, transmission and dissipation of the energy of an incident extensional wave at a linearly viscoelastic junction between two uniform and collinear linearly elastic bars are considered. The junction consists of a finite number of uniform segments of the same material and length. The optimum shape of a junction with given material, length and number of segments which maximizes the energy transmission for given input and output bars and a given incident wave of finite duration is determined numerically with the use of a quasi-Newton method. Results are presented for rectangular incident waves of different durations and 40-segment junctions of standard linear solid material. In the special case of linearly elastic material, the optimum junctions have piece-wise constant characteristic impedances with a certain number of plateaux of equal lengths. These plateaux are independent of the number of segments provided that this number is an integral multiple of the number of plateaux. The optimum viscoelastic junctions have the appearance of deformed and displaced versions of their elastic counterparts. Thus, the plateaux of the elastic junctions are increasingly deformed and displaced with increased damping and, less markedly, with decreased response time of the material. The transitions between these plateaux of a junction appear to be discontinuous, similarly as in the case of elastic material. The apparent discontinuities become less notable with increased damping of the material.

Place, publisher, year, edition, pages
2001. Vol. 240, no 3, 467-481 p.
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-47468DOI: 10.1006/jsvi.2000.3250OAI: diva2:268364
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-13

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Andersson, Lars-Erik
By organisation
The Institute of TechnologyApplied Mathematics
In the same journal
Journal of Sound and Vibration
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 22 hits
ReferencesLink to record
Permanent link

Direct link