The compensation pendulum is a pendulum that is constructed in a way that its length does not vary by changes of temperature. As the temperature of the air around the clock goes up, the rod of a regular pendulum clock mechanism expands and the clock runs slower. Historically, it has proven easier to compensate for changes in the ambient temperature than to eliminate them. One of the most common pendulums is the “gridiron,” which was contrived by Harrison around the year 1726. It consists of alternate rods of steel and brass (five of which are made of steel and four of brass), connected by cross-pieces at the top and bottom. It is called a “gridiron” because of the arrangement of its rods (Fig. 1). The principle of its operation is simple and unexpectedly effective. The steel would push down, lengthening the pendulum, but the brass, being attached at the bottom, would push up. The two lengths were in the inverse ratio of their thermal expansion coefficients, in which case the upward expansions just equal those that are downward, and therefore the center of oscillation remains at the same distance from the point of suspension.

1.
Thomas B.
Greenslade
 Jr.
, “
19th-century textbook illustrations-XLX
,”
Phys. Teach.
15
,
546
(
Dec.
1977
).
2.
H. D.
Young
,
R. A.
Freedman
, and
A. L.
Ford
,
University Physics with Modern Physics
(
Pearson
,
San Francisco
,
2012
).
3.
R. A.
Serway
and
J. W.
Jewett
,
Physics for Scientists and Engineers with Modern Physics
(
Cengage Learning
,
Boston
,
2013
).
4.
D.
Olmsted
and
E. S.
Snell
,
An Introduction to Natural Philosophy Designed as a Text-book for the Use of Students in College
(
Collins & Brother
,
New York
,
1870
), p.
108
.
5.
Branislav
Popkonstantinović
,
Ljubomir
Miladinović
,
Marija
Obradović
,
Gordana
Ostojić
, and
Stevan
Stankovski
, “
Mathematical principles and optimal design solutions to compensation for the pendulum temperature dilatation
,”
Acta Polytechnica Hungarica
10
(
8
),
117
128
(
2013
).
6.
John E.
Carlson
, “
The pendulum clock
,”
Phys. Teach.
29
,
8
11
(
Jan.
1991
).
7.
Charles F.
Adams
, “
Note on the gridiron pendulum
,”
School Sci. Math.
7
(
5
),
355
355
(
1907
).
8.
T.
Reid
,
Treatise on Clock and Watch Making, Theoretical and Practical
(
Blackie and Son
,
Glasgow
,
1826
).
9.
G.
Kalkanis
, “From the scientific to educational methodology,” http://micro-kosmos.uoa.gr/en/ekp_protaseis/methodology.pdf, accessed Dec. 12, 2018.
10.
Coefficients of Linear Thermal Expansion, The Engineering Toolbox
, https://www.engineeringtoolbox.com/linear-expansion-coefficients-d_95.html, accessed Oct. 15, 2018.
11.
Linear Thermal Expansion, The Engineering Toolbox
, https://www.engineeringtoolbox.com/linear-thermal-expansion-d_1379.html, accessed Oct. 15, 2018.
12.
Gridiron Pendulum, Wolfram Demonstrations Project
, http://demonstrations.wolfram.com/GridironPendulum/, accessed Oct. 15, 2018.
13.
Chapter 24 Physical Pendulum
,”
MIT
, http://web.mit.edu/8.01t/www/materials/modules/chapter24.pdf, accessed Oct. 14, 2018.
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