By　investigating　the　transverse　vibrations　of　an　axially　moving　string　with　time-varying　supports,　the　existence　and　the　pattern　of　static　nodes　are　studied　based　on　the　assumed　mode　method　and　the　linear　superposition　method.　The　explicit　expressions　for　the　response　of　the　system　with　five　different　boundary　conditions　are　illustrated.　Traditional　excited　static　strings　show　nodes　when　resonance　occurs.　However,　it　is　found　in　this　study　that　the　static　nodes　of　axially　moving　strings　appear　under　arbitrary　frequency　even　far　away　from　resonance,　if　the　excitation　frequency　is　higher　than　the　fundamental　frequency.　The　varying　nodes　and　frequencies　under　different　time-varying　supports　are　revealed.