Asymptotic Approximations for Systems Incorporating Fractional Derivative Damping
1996 ◽
Vol 118
(3)
◽
pp. 572-579
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Keyword(s):
Viscoelastic constitutive relationships incorporating fractional derivatives have been previously shown to be extremely useful in describing the frequency dependent behavior of common damping materials. However, the implementation of such models in the analysis of damped mechanical systems is somewhat complicated by the fact that polynomial equations with noninteger order exponents must be solved. This paper develops accurate approximations from which the damping factor and damped natural frequency of such systems may be obtained by evaluating relatively simple algebraic expressions.
2018 ◽
Vol 13
(9)
◽
2019 ◽
Vol 10
(01)
◽
pp. 1941004
2019 ◽
Vol 57
(2)
◽
pp. 131-144