MINPL Optimization Of Timber Trusses
Considering Joint Flexibility
Author(s)
S. Šilih, S. Kravanja, P. Dobrila & M. Premrov
Abstract
The paper presents the shape and discrete sizing optimization of timber trusses
with the consideration of joint flexibility. The optimization was performed by the
Mixed-Integer Nonlinear Programming (MINLP) approach. In the optimization
model an economic objective function for minimizing the structure's selfmanufacturing
costs was defined. The design conditions in accordance with
Eurocode 5 were considered as optimization constraints. The internal forces and
deflections were calculated by finite element equations. The structural stifness
matrix was composed by considering fictiously decreased cross-sectional areas
of all the flexibly connected elements. The cross-section dimensions and the
number of fasteners were defined as discrete sizing variables, while the joint
coordinates were considered as shape variables. The applicability of the
proposed approach is demonstrated through a numerical example, presented at
the end of the paper.
Keywords: timber, trusses, joint flexibility, shape optimization, discrete sizing
optimization, mixed-integer nonlinear programming.
1 Introduction
Timber construction is an important part of the infrastructure in a number of
areas around the world. Wood has proved to be quite a resilient material,
showing relatively high ductility and low density. In addition, the flexibility of
mechanical fasteners provides a high damping capacity between the connected
timber elements. Well-built timber structures maintain a good performance
particularly under the influence of wind and especially earthquake forces.
In the last decades, the application of timber trusses has frequently been
noticed in all aspects of building construction. Timber trusses have become
Keywords
timber, trusses, joint flexibility, shape optimization, discrete sizing
optimization, mixed-integer nonlinear programming.
Related Book
Other papers in this volume
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