1999
DOI: 10.1016/s0045-7949(98)00150-3
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Nonlinear dynamics of flexible beams in planar motion: formulation and time-stepping scheme for stiff problems

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Cited by 36 publications
(28 citation statements)
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“…The recent work on time-stepping schemes for stiff equations damping for geometrically nonlinear beam model in [16] might prove quite pertinent in that sense.…”
Section: Resultsmentioning
confidence: 99%
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“…The recent work on time-stepping schemes for stiff equations damping for geometrically nonlinear beam model in [16] might prove quite pertinent in that sense.…”
Section: Resultsmentioning
confidence: 99%
“…In the rest of this section, we briefly describe the chosen geometrically nonlinear model of shear deformable beam. For a more elaborate description we refer to [2,16,24].…”
Section: Geometrically Exact Shear Deformable Beam As a Component Of mentioning
confidence: 99%
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“…This clearly shows by choosing: U = 0, W = 0 that the presence of zero terms in the mass matrix would require infinite frequencies, which is the ultimate case of stiff equations [19] with all difficulties that will impose.…”
Section: Variational Formulations For Dynamicsmentioning
confidence: 99%
“…To improve the system response, energy consumption, and the overall mass components of robot manipulators, various types of flexible link manipulators have been modeled, designed, and implemented [1][2][3]. In [4], modeling and control of a single flexible-link robot arm was proposed and developed.…”
Section: Introductionmentioning
confidence: 99%