| Whirling motions of a beam generated by in-plane pulses (1992) | |||||||||||||
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| Journal Sound and Vibration WHIRLING MOTIONS BEAM GENERATED BEHBOUD AND SCOTT L P E Department Mechanical Engineering and Applied Mechanics The University Michigan Ann Arbor Michigan A Received October and final form March INTRODUCTION extensive body literature now exists the instability out plane perturbations beams forced harmonically plane whirling motion early study nonlinear beam dynamics for whirling motions can found Scott and Eisley who Figure Beam geometry investigated motions compact beams with pinned ends They used model which extensional effects were included but non linear curvature and longitudinal inertia were neglected Since then more accurate mechanical modeling has been developed Venkatesen and Nagaraj derived model which all three effects were included but their results inextensionality condition was assumed view the fact that the beam was cantilever Such condition was also assumed Nayfeh and Pai who analyzed threedimensional integro differential equations motion for cantilever beam longitudinal inertia and non linear curvature being included Extensive work the field has also been done Crespo Silva recent contributions longitudinal inertia non linear curvature extension and torsion were included his three dimensional equations motion t Figure The spectrum the pulse for o and Academic Press Limited LETTERS THE EDITOR the above works the forcing functions were harmonic and primary concern were frequency amplitude relations and associated stability questions t. http://deepblue.lib.umich.edu/bitstream/2027.42/30244/1/0000639.pdf | |||||||||||||
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