  In this paper, we investigate the transition between topological phases in a
Su-Schrieffer-Heeger (SSH) model composed of springs and masses in which the
intracellular quasi-periodic disorder modulates the spring constants. We
observe the presence of a topological Anderson insulating (TAI) phase within a
specific range of quasi-periodic modulation strength and calculate the phase
transition boundary analytically. We examine the localization properties of the
normal modes using the inverse participation ratio (IPR) of eigenstates of the
dynamical matrix, and the corresponding fractal dimension associated with
quasiperiodic modulation. We also examine the stability of the TAI phase across
a range of modulation strengths and comments on the presence of mobility edge
that separate localized modes from non-localized ones. We demonstrate the fact
that special analytical techniques are needed to compute an exact expression
for mobility edges in such scenario.
