  We study the approximation of quasistatic evolutions, formulated as abstract
finite-dimensional rate-independent systems, via a vanishing-inertia asymptotic
analysis of dynamic evolutions. We prove the uniform convergence of dynamical
solutions to the quasistatic one, employing the concept of energetic solution.
Motivated by applications in soft locomotion, we allow time-dependence of the
dissipation potential, and translation invariance of the potential energy.
