  Precise measurements of the energy spectra of cosmic rays (CRs) show various
kinds of features deviating from single power-laws, which give very interesting
and important implications on their origin and propagation. Previous
measurements from a few balloon and space experiments indicate the existence of
spectral softenings around 10 TV for protons (and probably also for Helium
nuclei). Very recently, the DArk Matter Particle Explorer (DAMPE) measurement
about the proton spectrum clearly reveals such a softening with a high
significance. Here we study the implications of these new measurements, as well
as the groundbased indirect measurements, on the origin of CRs. We find that a
single component of CRs fails to fit the spectral softening and the air shower
experiment data simultaneously. In the framework of multiple components, we
discuss two possible scenarios, the multiple source population scenario and the
background plus nearby source scenario. Both scenarios give reasonable fits to
the wide-band data from TeV to 100 PeV energies. Considering the anisotropy
observations, the nearby source model is favored.
