On the Eigencharacteristics of Longitudinally Vibrating Rods Carrying a Tip Mass and Viscously Damped Spring-Mass in-Span

Gürgöze, M.; Erol, Haluk

doi:10.1006/jsvi.1999.2178

Cited by 12 publications

(13 citation statements)

References 5 publications

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“…Exact matrix (30) and vector (32) can be assembled into the global dynamic stiffness matrix and load vector of a 2D truss structure, by a standard finite element procedure. It is interesting to note that matrix (30) and vector (32) hold the same size for any number of dampers and loads.…”

Section: Dynamic Stiffness Matrix and Load Vectormentioning

confidence: 99%

“…It is interesting to note that matrix (30) and vector (32) hold the same size for any number of dampers and loads. For this reason, the size of the corresponding global dynamic stiffness matrix and load vector will depend only on the number of nodes, regardless of the number of dampers and loads.…”

Section: Dynamic Stiffness Matrix and Load Vectormentioning

confidence: 99%

“…The exact dynamic stiffness matrix (30) and load vector (32) can be derived by the alternative procedure in Ref. [26,35], here recalled for convenience.…”

Section: Appendixmentioning

confidence: 99%

“…The frequency analysis of bars with dampers has been addressed in some studies [25][26][27][28][29][30][31][32]. For a bar with an end viscous damper, Hull [25] built the exact DGFs in a closed form.…”

Section: Introductionmentioning

confidence: 99%

“…[28,29], a tip mass and a single in-span mass damper in Ref. [30], two in-span grounded dampers [31]. An approximate formulation of the eigenvalue problem has been pursued in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Exact frequency response of bars with multiple dampers

2016

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The paper addresses the frequency analysis of bars with an arbitrary number of dampers, subjected to harmonically varying loads. Multiple external/internal dampers occurring at the same position along the bar, modelling external damping devices and internal damping due to damage or imperfect connections, are considered. In this context, the challenge is to handle simultaneous discontinuities of the response variables, i.e. axial force/displacement discontinuities at the location of external/internal dampers. Based on the theory of generalized functions, the paper will present exact closed-form expressions of the frequency response under point/polynomial loads, which hold regardless of the number of dampers. In addition, closed-form expressions will be derived for the exact dynamic stiffness matrix and load vector of the bar, to be used in a standard assemblage procedure for an exact frequency response analysis of 2D truss structures. Changes to consider a single damper at a given position are straightforward. Numerical applications show the advantages of the proposed method.

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Section: Dynamic Stiffness Matrix and Load Vectormentioning

confidence: 99%

Section: Dynamic Stiffness Matrix and Load Vectormentioning

confidence: 99%

“…The exact dynamic stiffness matrix (30) and load vector (32) can be derived by the alternative procedure in Ref. [26,35], here recalled for convenience.…”

Section: Appendixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…[28,29], a tip mass and a single in-span mass damper in Ref. [30], two in-span grounded dampers [31]. An approximate formulation of the eigenvalue problem has been pursued in Ref.…”

Section: Introductionmentioning

confidence: 99%

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