  Recent observations have revealed two types of decayless transverse
oscillations in short coronalloops: one with short periods scaling with loop
lengths, and the other with longer periods that exhibit a peak at around 5 min
in the period distribution. To understand such a difference in period, we work
in the framework of ideal MHD and model a short coronal loop embedded in an
atmosphere with density stratification from the chromosphere to the corona. An
inclined p-mode-like driver with a period of 5 min is launched at one loop
footpoint. It is discovered that two types of decayless transverse oscillations
can be excited in the loop. We interpret the 5 min periodicity as being
directly driven by the footpoint driver, while the others, with periods of
several tens of seconds, are regarded as kink eigenmodes of different
harmonics. Therefore, our simulation shows that both types of decayless
oscillations found in observations can be excited by p-modes in one short
coronal loop. This study extends our understanding of ubiquitous decayless
transverse oscillations in the corona. Furthermore, it suggests that p-modes
could be an important energy source for coronal heating by driving decayless
transverse oscillations.
