EJPAU 2006. Tomczyk B. ON THE EFFECT OF PERIOD LENGTHS ON DYNAMIC STABILITY OF THIN BIPERIODIC CYLINDRICAL SHELLS

Electronic Journal of Polish Agricultural Universities (EJPAU) founded by all Polish Agriculture Universities presents original papers and review articles relevant to all aspects of agricultural sciences. It is target for persons working both in science and industry,regulatory agencies or teaching in agricultural sector. Covered by IFIS Publishing (Food Science and Technology Abstracts), ELSEVIER Science - Food Science and Technology Program, CAS USA (Chemical Abstracts), CABI Publishing UK and ALPSP (Association of Learned and Professional Society Publisher - full membership). Presented in the Master List of Thomson ISI.

2006
Volume 9
Issue 3/volume9

Topic:

Civil Engineering

ELECTRONIC
JOURNAL OF
POLISH
AGRICULTURAL
UNIVERSITIES

Tomczyk B. 2006. ON THE EFFECT OF PERIOD LENGTHS ON DYNAMIC STABILITY OF THIN BIPERIODIC CYLINDRICAL SHELLS, EJPAU 9(3/volume9), #11.
Available Online: http://www.ejpau.media.pl/volume9/issue3/volume9/abs-11.html

ON THE EFFECT OF PERIOD LENGTHS ON DYNAMIC STABILITY OF THIN BIPERIODIC CYLINDRICAL SHELLS

Barbara Tomczyk
Department of Structural Mechanics, Łodz University of Technology, Poland

ABSTRACT

The object of considerations is a thin linear-elastic cylindrical shell having a periodic structure (i.e. a periodically varying thickness and/or periodically varying elastic and inertial properties) in both directions tangent to the shell midsurface. Such shells are called biperiodic.

The aim of this paper is to propose a new averaged non-asymptotic model of biperiodic shells, which makes it possible to investigate parametric vibrations and dynamical stability of the shells under consideration.
As a tool of modeling we shall apply the tolerance averaging technique. The resulting equations have constant coefficients. Moreover, in contrast with models obtained by the known asymptotic homogenization technique, the proposed one takes into account the effect of the period lengths on the overall dynamic shell behavior, called a length-scale effect. It will be shown that this effect plays an important role in the dynamical stability analysis of the shells considered in this paper.

Key words: thin periodic cylindrical shell, dynamical stability, the length-scale effect.

Barbara Tomczyk
Department of Structural Mechanics,
Łodz University of Technology, Poland
Al. Politechniki 6, 90-924 Łodz, Poland
email: btomczyk@p.lodz.pl

Responses to this article, comments are invited and should be submitted within three months of the publication of the article. If accepted for publication, they will be published in the chapter headed 'Discussions' and hyperlinked to the article.