Table 1 Geometrical and material (wood) properties for the coupling structure.

From: The sympathy of two pendulum clocks: beyond Huygens’ observations

Property Horizontal beam Each vertical beam
Length lB = 0.84 [m] lS = 1 [m]
Width bh = 0.40 [m] bv = 0.04 [m]
Thickness hh = 0.16 [m] hv = 0.04 [m]
Cross-section area Ah = bhhh = 0.064 [m2] Av = bvhv = 0.0016 [m2]
Second moment of area
Density ρh = 770 [kg/m3] ρv = 770 [kg/m3]
Young’s modulus Eh = 8.963 · 109 [N/m2] Ev = 8.963 · 109 [N/m2]
Other dimensions and parameters, see .
Figure 7
figure7

(a) Schematic drawing of the experimental setup depicted on Fig. 2. (b) Idealized schematic model. The structure has been divided into 5 pieces (white bars, 2 vertical and 3 horizontal) interconnected via 4 nodes (gray circles). Each clock has been modelled as a driven and damped pendulum.

 Length for a single horizontal beam after discretization lb = 0.28 [m]
 Damping coefficient in the structure, see (29) ζ = 1[−]
 Gravitational acceleration g = 9.81 [m/s2]