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In this manuscript we report on adiabatic pumping in quasiperiodic stiffnessmodulated beams. We show that distinct topological states populating nontrivialgaps can nucleate avoided crossings characterized by edge-to-edge transitions.Such states are inherently coupled when a smooth variation of the modulationphase is induced along a synthetic dimension, resulting in topologicaledge-to-edge transport stemming from distinct polarizations of the crossingstates. We first present a general framework to estimate the requiredmodulation speed for a given transition probability in time. Then, thisanalysis tool is exploited to tailor topological pumping in a stiffnessmodulated beam.

Adiabatic pumping via avoided crossings in stiffness modulated quasiperiodic beams