  We propose a generalization of the superconducting circuit simulation of the
dynamical Casimir effect where we consider relativistically moving boundary
conditions following different trajectories. We study the feasibility of the
setup used in the past to simulate the dynamical Casimir effect to reproduce
richer relativistic trajectories differing from purely sinusoidal ones. We show
how different relativistic oscillatory trajectories of the boundaries of the
same period and similar shape produce a rather different spectrum of particles
characteristic of their respective motions.
