Energy and Buildings 142 (2017) 72–110
Contents lists available at ScienceDirect
Energy and Buildings
j ourna l ho me pa g e: www.elsevier.com/locate/enbuild
A review on experimental research using scale models for buildings:
Application and methodologies
Juan M. Lirola
a,∗
, Estéfana Casta ˜ neda
a
, Benito Lauret
a
, Mohamed Khayet
b
a
Architectural Construction and Technology Department, School of Architecture, Technical University of Madrid (UPM), Av. Juan de Herrera 4, 28040
Madrid, Spain
b
Department of Applied Physics I, Faculty of Physics, University Complutense of Madrid, Av. Complutense, s/n, 28040 Madrid, Spain
a r t i c l e i n f o
Article history:
Received 16 July 2016
Received in revised form
10 November 2016
Accepted 26 February 2017
Available online 3 March 2017
Keywords:
Scale models
Building tests
Building simulation
Experimental tests
Principle of similarity
Dimensional analysis
Parallel projection
Dimensionless numbers
Scale effects
Fractals
a b s t r a c t
A complete review on scale model testing for buildings, considering a wide range of methodologies and
new manufacturing techniques, in areas such as statics and dynamics, acoustics, lighting, aerodynamics
and thermodynamics for energy efficiency is presented. On the one hand, scale model testing for build-
ings require different considerations and techniques and are usually focused on one specific physical
field contributing to the information scattering. On the other hand, they are sometimes too general, the-
oretical or unpractical. Although commercial computer simulations are first option among professionals,
they necessarily simplify complex phenomena and ignore, among other aspects, size effects and latest
findings in fractals. The potential of complementary experiments using new manufactured scale models
for buildings is raising, however, it is still missing a practical overview through different physical fields
specifically for buildings with these considerations. This review gives a wide perspective and unified
scope on uses and possibilities of scale model testing for buildings, from the traditional configurations of
Leon Battiste Alberti to new possibilities applying complex physics and new techniques of 3D-modelling.
© 2017 Elsevier B.V. All rights reserved.
Contents
1. General introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
2. Preface to physical building testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
3. Brief history of scale models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
4. Theoretical scientific strategies to scale change . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .76
4.1. Square-cube law and general similarity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
4.2. Parallel projection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
4.3. Size effects and fractals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
4.4. Dimensional analysis and theory of models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
5. General application of experimental techniques for scale models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .78
5.1. Geometrical distorted scale model technique . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
5.2. Time-dependent or geometrical undistorted scale model technique . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
6. Types of experimental scale models for buildings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
6.1. Structures for buildings using scale models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
6.1.1. Seismic loads in scale models for buildings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
6.1.2. Hydraulic loads in scale models for buildings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
6.1.3. Aerodynamic loads on scale models for buildings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
6.2. Acoustics for buildings using scale models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
∗
Corresponding author.
E-mail address: juanmi.lirolaperez@upm.es (J.M. Lirola).
http://dx.doi.org/10.1016/j.enbuild.2017.02.060
0378-7788/© 2017 Elsevier B.V. All rights reserved.