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 an portion of a display screen with animated graphical user interface showing our 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 fourth image thereof;

FIG. 5 is a front view of a fifth image thereof;

FIG. 6 is a front view of a first image of a second embodiment of an portion of a display screen with animated graphical user interface showing our new design

FIG. 7 is a front view of a second image thereof;

FIG. 8 is a front view of an third image thereof;

FIG. 9 is a front view of a fourth image thereof;

FIG. 10 is a front view of an fifth image thereof

FIG. 11 is a front view of a first image of a third embodiment of an portion of a display screen with animated graphical user interface showing our new design;

FIG. 12 is a front view of a second image thereof;

FIG. 13 is a front view of a third image thereof;

FIG. 14 is a fourth image thereof;

FIG. 15 is a fifth image thereof;

FIG. 16 is a front view of a first image of a fourth embodiment of an portion of a display screen with animated graphical user interface showing our new design;

FIG. 17 is a front view of a second image thereof;

FIG. 18 is a front view of a third image thereof;

FIG. 19 is a front view of a fourth image thereof;

FIG. 20 is a front view of a fifth image thereof;

FIG. 21 is a front view of a first image of a fifth embodiment of an portion of a display screen with animated graphical user interface showing our new design;

FIG. 22 is a front view of a second image thereof;

FIG. 23 is a front view of a third image thereof;

FIG. 24 is a front view of a fourth image thereof;

FIG. 25 is a front view of a fifth image thereof;

FIG. 26 is a front view of a sixth image thereof;

FIG. 27 is a front view of a seventh image thereof;

FIG. 28 is a front view of an eighth image thereof;

FIG. 29 is a front view of a ninth image thereof;

FIG. 30 is a front view of a tenth image thereof;

FIG. 31 is a front view of a first image of a sixth embodiment of an portion of a display screen with animated graphical user interface showing our new design;

FIG. 32 is a front view of a second image thereof;

FIG. 33 is a front view of a third image thereof;

FIG. 34 is a front view of a fourth image thereof;

FIG. 35 is a front view of a fifth image thereof;

FIG. 36 is a front view of a sixth image thereof;

FIG. 37 is a front view of a seventh image thereof;

FIG. 38 is a front view of an eighth image thereof;

FIG. 39 is a front view of a ninth image thereof;

FIG. 40 is a front view of a tenth image thereof;

FIG. 41 is a front view of a first image of a seventh embodiment of an portion of a display screen with animated graphical user interface showing our new design;

FIG. 42 is a front view of a second image thereof;

FIG. 43 is a front view of a third image thereof;

FIG. 44 is a front view of a fourth image thereof;

FIG. 45 is a front view of a fifth image thereof;

FIG. 46 is a front view of a sixth image thereof;

FIG. 47 is a front view of a seventh image thereof;

FIG. 48 is a front view of an eighth image thereof;

FIG. 49 is a front view of a ninth image thereof;

FIG. 50 is a front view of a tenth image thereof;

FIG. 51 is a front view of a first image of an eighth embodiment of an portion of a display screen with animated graphical user interface showing our new design;

FIG. 52 is a front view of a second image thereof;

FIG. 53 is a front view of a third image thereof;

FIG. 54 is a front view of a fourth image thereof;

FIG. 55 is a front view of a fifth image thereof;

FIG. 56 is a front view of a sixth image thereof;

FIG. 57 is a front view of a seventh image thereof;

FIG. 58 is a front view of an eighth image thereof;

FIG. 59 is a front view of a ninth image thereof; and,

FIG. 60 is a front view of a tenth image thereof.

In the first embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 1 through 5 . In the second embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 6 through 10 . In the third embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 11 through 15 . In the fourth embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 16 through 20 . In the fifth embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 21 through 30 . In the sixth embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 31 through 40 . In the seventh embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 41 through 50 . In the eighth embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 51 through 60 . 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 60 forms no part of the claimed design. The broken line showing of text and portions of the graphical user interface in FIGS. 1 through 60 represents environmental subject matter and forms no part of the claimed design.