  Shandite with Ni$_{3}$Pb$_{2}$S$_{2}$ chemical formula and R$\bar{3}$m
symmetry, contains the kagome sublattice formed by the transition metal atoms.
Recent experimental results confirmed the possibility of successfully
synthesizing Pd$_{3}$Pb$_{2}Ch_{2}$ ($Ch$=S,Se) with the same structure. In
this paper, we theoretically investigate the dynamical properties of such
compounds. Furthermore, we study the possibility of realizing
Pt$_{3}$Pb$_{2}Ch_{2}$ with the shandite structure. We show that the
Pd$_{3}$Pb$_{2}${\it Ch}$_{2}$ and Pt$_{3}$Pb$_{2}$S$_{2}$ are stable with
R$\bar{3}$m symmetry. In the case of Pt$_{3}$Pb$_{2}$S$_{2}$, there is a soft
mode, which is the source of the structural phase transition from R$\bar{3}$m
to R$\bar{3}$c symmetry, related to the distortion within the kagome
sublattice. We discuss realized phonon nodal lines in the bulk phonon
dispersions in upper frequency modes. We show that the shandite structure can
host the phonon surface states, with strong dependence by the surface kind.
Additionally, chiral phonons with circular motion of the Pb atoms around the
equilibrium position are realized.
