COMPUTER AIDED ANALYSIS OF FLEXI－BLE MEMBER IN CONSIDERATION OF THE EFFECTS OF DYNAMIC STI－FFEN－ING

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COMPUTER AIDED ANALYSIS OF FLEXI-BLE MEMBER IN CONSIDERATION OFTHE EFFECTS OF DYNAMIC STI- FFEN-ING

A recently developed procedure to capture the dynamic stiffening of an arbitrary flexiblemember in large overall motion accompanied by small elastic vibrations is presented. A mechanicalsystem that consists of one or more flexible members is called a flexible mechanical system. If thesystem is considered as a multibody system, the flexiblemember can be considered as a flexible bodyin a flexible multibody system. Having retained the nonlinearitites up to an appropriate point in theanalysis, the linearization is then performed properiy so that the dynamic stiffening terms can befound naturally, while the explicit formulation of the governing equations for the deformation mo-tion is ultimately linear. Based on the procedure, the effects of dynamic stiffening are investigatedqualitatively and quantitatively with analytical and numerical examples. The results are useful incomputer aid analysis of the dynamic behavior of flexible mechanical systems.