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Computational Science, Engineering & Technology Series
ISSN 1759-3158
Edited by: B.H.V. Topping, Z. Bittnar
Chapter 8

Recent Developments in Modelling and Design of Laminated and Piezolaminated Structures by the Finite Strip Method

M.A. Ramos Loja+, C.M. Mota Soares* and C.A. Mota Soares*

+Nautical School Infante D. Henrique, Paço de Arcos, Portugal
*Institute of Mechanical Engineering, Instituto Superior Técnico, Lisbon, Portugal

Full Bibliographic Reference for this chapter
M.A. Ramos Loja, C.M. Mota Soares, C.A. Mota Soares, "Recent Developments in Modelling and Design of Laminated and Piezolaminated Structures by the Finite Strip Method", in B.H.V. Topping, Z. Bittnar, (Editors), "Computational Structures Technology", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 8, pp 197-220, 2002. doi:10.4203/csets.7.8
Keywords: b-spline strip method, piezoelectric materials, simulated annealing, third-order plate theory.

In this work, recent developments on the use of the general spline finite strip method in the analysis and optimal design of laminated structures with embedded and/or surface bonded piezoelectric actuators and sensors are presented. The finite strip models are developed using the third-order plate theory of Lo et al. [1], and Reddy [2]. They are applied to the static and free vibration analyses of laminated adaptive structures with arbitrary lay-ups, loading and boundary conditions. As a special case of the third-order plate theory the simpler and computational efficient strip finite element model based on the first-order shear deformation theory is obtained.

These models are combined with a stochastic global optimization technique called "simulated annealing" [3] to improve the performance of the composite adaptive structures subjected to a variety of objective functions and/or constraints and with discrete and continuous design variables.

The capabilities of these models are illustrated by two examples of simple adaptive structures.

Lo K.H., Christensen R.M., Wu E.M. A high-order theory of plate deformationPart II: Laminated plates. Journal of Applied Mechanics 1977; 669-676.
Reddy J.N. A simple high order theory for laminated composite plates. Journal of Applied Mechanics 1984, 51: 745-752.
Hajela P. Stochastic search in discrete structural optimisation. Lecture notes on Discrete Structural Optimisation. Advanced School coordinated by W. Gutkowski. International Centre for Mechanical Sciences, Udine, Italy, 1996.

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