Portion of a display screen with animated graphical user interface

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

FIG. 2 is a front view of a second image thereof;

FIG. 3 is a front view of a third image thereof;

FIG. 4 is a front view of a first image of a second embodiment of a portion of a display screen with animated graphical user interface showing my new design;

FIG. 5 is a front view of a second image thereof; and,

FIG. 6 is a front view of a third image thereof.

In the first embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 1 through 3 . In the second embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 4 through 6 . The process or period in which one image transitions to another image forms no part of the claimed design. The broken line showing of a portion of a display screen in FIGS. 1 through 6 forms no part of the claimed design. The broken line showing of text and portions of the graphical user interface in FIGS. 1 through 6 represents environmental subject matter and forms no part of the claimed design. All of the text shown in FIGS. 1-6 is shown in broken lines. The greyscale fill appearing in the circular rings of FIGS. 2-3 and 5 - 6 , signifies that the background of the portion of each of the circular rings is darker than any unfilled portion of each of the circular rings and the background of each of the circular rings in FIGS. 1 and 4 .