This book focuses on using simulation to optimize the designs of the deployable truss, cable networks, as well as gravity compensation systems, to minimize the difference between the in-orbit and on-ground behaviors of mesh antennas, and to achieve an accurate in-orbit prediction.It addresses the following three aspects: (i) A multiscale dynamic method for modeling cable-pulley systems was proposed, which makes it possible to simulate antenna deployment with multiscale nature of time and length, and to evaluate the effects of synchronization mechanisms on deployment dynamics. (ii) A designing methodology for achieving a robust cable network against variation in tension forces was proposed. (iii) The effects of on-ground gravity compensation systems for webs on deployment dynamics of mesh antennas were revealed. This book provides design guidance for the next generation of large space deployable antennas, and offer insights on modeling of other flexible space structures and constructing on-ground gravity compensation systems.