  A full 3-dimensional compressible magnetohydrodynamic (MHD) simulation is
conducted to investigate the thermal responses of a coronal loop to the dynamic
dissipation processes of MHD waves. When the foot points of the loop are
randomly and continuously forced, the MHD waves become excited and propagate
upward. Then, a 1-MK temperature corona is produced naturally as the wave
energy dissipates. The excited wave packets become non-linear just above the
magnetic canopy, and the wave energy cascades into smaller spatial scales.
Moreover, collisions between counter-propagating Alfv\'{e}n wave packets
increase the heating rate, resulting in impulsive temperature increases. Our
model demonstrates that the heating events in the wave-heated loops can be
nanoflare-like in the sense that they are spatially localized and temporally
intermittent.
