| A note on the damping of large amplitude beam vibrations (1978) | |||||||||||||
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| Jourpal Sound and Vibration LETTERS THE EDITOR NOTE THE DAMPING LARGE AMPLITUDE BEAM VIBRATIONS The efficacy viscoelastic layers constrained and unconstrained configurations reducing vibration levels beam structures has been studied extensively for linear motions However few inroads have been made for large amplitudes Such work has been done for clamped clamped compact beams consisting viscoelastic core constrained metallic face sheets Hyer Anderson and Scott Here moderate amplitude forced motions beam with symmetric cross section consisting metallic core with symmetrically attached top and bottom viscoelastic layers are considered The following theory proposed assumed that the viscoelastic layers are thin that they transmit membrane forces only The core taken Timoshenko beam and non linearity introduced through the requirement that the beam ends fixed distance apart Axes xyz are used with along the neutral axis and and along the symmetry axes The plane loading the plane Considering element the beam summing forces the and directions taking axis moments and neglecting rotatory inertia associated with shear one obtains w where j x prAr pbAbiS pcACiS p ip iio h b e idz and and denote mid layer displacements the superscripts and stand for core top and bottom respectively and are slopes due bending and shear respectively that awo p denotes density area and the moment inertia about the axis unit length the core Further dot stands for time derivative and are the spatial and time dep. http://deepblue.lib.umich.edu/bitstream/2027.42/22656/1/0000207.pdf | |||||||||||||
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