An isolator mount system includes multiple isolator mounts that are used to isolate a piece of equipment from a structure. The isolation mounts each include an isolation pad between inner and outer mountings, to provide damping between relative motions of the inner mounting and the outer mounting. A central portion of the isolation pad is closer to a central axis of the isolation mount than are ends of the isolation pad that are on opposite sides of the central portion. This configuration provides two shear sections, to provide additional damping, an additional amount of shear in the isolator mounts. The shear sections may be configured to control location of the center of elasticity of the system, for example by locating the center of elasticity at the same location as the center of gravity of the system, thereby resulting in an isoelastic system.