Portion of display screen with animated user interface

FIG. 1 is the front view of the first image of the portion of display screen with animated graphical user interface, showing the new design;

FIG. 2 is the second image thereof;

FIG. 3 is the third image thereof; and

FIG. 4 is the fourth image thereof.

FIG. 5 is the front view of the first image of a second embodiment of the portion of display screen with animated graphical user interface;

FIG. 6 is the second image thereof;

FIG. 7 is the third image thereof; and,

FIG. 8 is the fourth image thereof.

The appearance of the first embodiment of the portion of display screen with animated graphical user interface transitions sequentially between the images shown in FIGS. 1-4 . The appearance of the second embodiment transitions sequentially between the images shown in FIGS. 5-8 . The process or period in which one image transitions to another forms no part of the claimed invention.

The broken line in each of FIGS. 1-8 represents the outer periphery of the portion of the display screen, and also the outer periphery of the claimed design. The broken line itself forms no part of the claimed design.