Acta Acta Acta Acta Mechatronica Mechatronica Mechatronica Mechatronica - International Scientific Journal about International Scientific Journal about International Scientific Journal about International Scientific Journal about Mechatronics Mechatronics Mechatronics Mechatronics
Volume: 5 2020 Issue: 1 Pages: 13-17 ISSN 2453-7306
DETERMINATION OF POISSON NUMBER AT THIN ROD-SAMPLES WITH NON-STANDARD CROSS-
SECTIONS BY PENDULUM METHODS
Karol Kvetan; Ondrej Bošák; Marián Kubliha; Janette Kotianová
~ 13 ~
Copyright © Acta Mechatronica, www.actamechatronica.eu
doi:10.22306/am.v5i1.59 Received: 11 Feb. 2020
Accepted: 02 Mar. 2020
DETERMINATION OF POISSON NUMBER AT THIN ROD-SAMPLES
WITH NON-STANDARD CROSS-SECTIONS BY PENDULUM METHODS
Karol Kvetan
Slovak University of Technology, Faculty of Materials Science and Technology, Institute of Materials Science, Bottova
25, 917 24 Trnava, Slovak Republic, EU, karol.kvetan@stuba.sk (corresponding author)
Ondrej Bošák
Slovak University of Technology, Faculty of Materials Science and Technology, Institute of Materials Science, Bottova
25, 917 24 Trnava, Slovak Republic, EU, ondrej.bosak@stuba.sk
Marián Kubliha
Slovak University of Technology, Faculty of Materials Science and Technology, Institute of Materials Science, Bottova
25, 917 24 Trnava, Slovak Republic, Automation and Mechatronics, Bottova 25, 917 24 Trnava, Slovak Republic, EU,
marian.kubliha@stuba.sk
Janette Kotianová
Slovak University of Technology, Faculty of Materials Science and Technology, Institute of Applied Informatics,
Bottova 25, 917 24 Trnava, Slovak Republic, EU, janette.kotianova@stuba.sk
Keywords: Tensile modules, Poisson number, vibration methods, thin samples, non-standard cross-sections
Abstract: The paper describes the measurements of modulus of elasticity of thin samples and related Poisson number by
one device – Searle´s pendulum. We have focused our attention mainly to non-traditional samples with non-standard (i.e.
other than circular) cross-sections.
1 Introduction, what is Poisson number?
The Poisson number μ belongs to basic physical
constants characterising the elastic properties of solids. It
is defined as the ratio of the relative transverse shortening
and the relative longitudinal prolongation. This can be
expressed by means of elastic modules as
, (1)
where E means the tensile modulus (or Young´s modulus)
and G is the shear modulus.
In our task we have used a device that is able to measure
both of these relevant quantities. This device is so-called
“Searle´s pendulum”, designed by American physicist
G.F.C. Searle [1]. This device is commonly used to
measure Young's modulus of thin specimens with classical
circular cross-sections. We have extended this use to the
measurement of samples with other cross-sections (some
of them with a hollow character), and we used the vertical
arrangement of the system to measure the shear modulus
of elasticity G, too. It also presents a convenient way to
determine the Poisson number μ.
2 Theoretical analysis and experimental
procedures
Searle´s pendulum - in its classic form - is based on two
flywheels connected by the sample being measured to
create an oscillating system after deflection. The device
can be used in two configurations: horizontal and vertical
(Fig. 1a) and 1b)).
Figure 1 a) Horizontal flywheel set.
1 – hanging threads, 2 – cylinder flywheels, 3– measured
wire (arrows indicate the direction of the oscillations, α is an
angle of deflection )