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We experimentally and theoretically study the dynamics of a one-dimensionalarray of pendula with a mild spatial gradient in their self-frequency and whereneighboring pendula are connected with weak and alternating coupling. We maptheir dynamics to the topological Su-Schrieffer-Heeger (SSH) model of chargedquantum particles on a lattice with alternating hopping rates in an externalelectric field. By directly tracking the dynamics of a wavepacket in the bulkof the lattice, we observe Bloch oscillations, Landau-Zener transitions, andcoupling between the isospin (i.e. the inner wave function distribution withinthe unit cell) and the spatial degrees of freedom (the distribution betweenunit cells). We then use Bloch oscillations in the bulk to directly measure thenon-trivial global topological phase winding and local geometric phase of theband. We measure an overall evolution of 3.1 $\pm$ 0.2 radians for thegeometrical phase during the Bloch period, consistent with the expected Zakphase of $\pi$. Our results demonstrate the power of classical analogs ofquantum models to directly observe the topological properties of the bandstructure, and sheds light on the similarities and the differences betweenquantum and classical topological effects.

Bloch Oscillations, Landau-Zener Transition, and Topological Phase Evolution in a Pendula Array