Research Article

The Dynamics of a Ringing Church Bell

Figure 9

Typical simulation results, with time scales normalised to the period of a single swing from near-vertical to near-vertical. Each diagram shows bell angle (dashed line), clapper relative angle (dash-dot line), and clapper angular velocity (solid red line). The vertical scale applies to the two angles; the angular velocity trace is scaled by a convenient factor to fit to the scales (the same factor in each case). Cases are indexed by the pair of values of and as follows: (a) laboratory bell (0.446,1.68), ringing right; (b) same bell as (a), ringing wrong; (c) bell at (0.458, 0.732), ringing right; (d) bell at (−0.005, 1.363), ringing right.
681787.fig.009a
(a)
681787.fig.009b
(b)
681787.fig.009c
(c)
681787.fig.009d
(d)