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Abstract:
Dynamic
stability of parametrically excited flexible cam-follower system of SDOF
is investigated by using the combination of both the method of multiple
scales and the technique of Fourier series expansion. The equations of
approximate transition curves in the plane of the dimensionless
frequency and excitation (amplitude) parameter that separate stable from
unstable solution are derived. It is found that there are many unstable
regions around ω0/ωn＝2/k（k＝1，2，…, whereω0 and ωn re exciting frequency
and natural frequency respectively. The example results show that the
types of follower motion events dominate the stability diagram and the
existence of damping reduces the instability regimes effectively. The
validity of the stability diagram is verified by direct numerical
integration of the equation in question.
Key words:
Cam
mechanism Parametric excitation Stability Method of
multiple scales
CLC No: TH132.47
江苏省归国留学人员基金资助项目. Received 20000616,
received in revised form 20001115
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