In view of the supposition that the modes of vibration of machine tool stru
cture are separable, this paper discusses the mathematical expression of fu
zzy dynamic response of a machine tool structure system that is under fuzzy
parametric excitation and fuzzy external excitation using fuzzy mathematic
s analysis methods. It gives a pictorial diagram resolution of the fuzzy dy
namic response of a machine tool structure that is under fuzzy parametric e
xcitation and an explicit expression of the fuzzy dynamic response possibil
ity distribution of a machine tool structure that is under fuzzy external e
xcitation. (C) 1999 Elsevier Science Ltd. All rights reserved.