Dynamic response of a viscously damped cantilever with a viscous end condition

Gürgöze, M.; Erol, Haluk

doi:10.1016/j.jsv.2006.04.042

Cited by 31 publications

(12 citation statements)

References 7 publications

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“…Since this assumption yields real quantities of natural frequencies and mode shapes of an undamped system to change into complex ones, the complex eigenfunction requires more analytical efforts to be solved and interpreted exactly. Although there are numbers of researches carried out into the scope of complex natural frequencies and mode shapes [12,14,15] and dynamic response of a non-proportional damped beam [16,17], the presence of crack in a non-proportional damped beam has not been studied in-depth. Due to the fact that the nature of the natural frequencies and mode shapes change considerably by introducing non-proportional damping into the system, there arises a pressing need to zoom in on the behavior of such systems and monitor the changes corresponding to the presence of cracks.…”

Section: Introductionmentioning

confidence: 99%

Notice of Retraction: On the effects of crack severity and location on transverse vibration of a non-proportional damped beam

Seyed-Aghazadeh

Rezaee

2010

2010 2nd International Conference on Mechanical and Electronics Engineering

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An analytical investigation is carried out into effects of crack severity and location on vibration characteristics of a continuous non-proportional damped cantilevered beam. The non-proportional damping is introduced into the system through the use of lumped linear damper at free end of the beam. The crack is assumed to be open in all dynamical conditions, and local stiffness at the crack location is obtained through experimental results. Since the damping distribution is not proportional to a linear combination of stiffness and inertia distribution, it leads to complex eigenvalues and eigenfunctions which makes it difficult to have a proper physical interpretation of the eigenfunctions. Considering this, complex natural frequencies and complex time depending mode shapes which occur in conjugate pairs are obtained and the relationship between frequency changes and crack parameters is discussed. It is indicated that the complex natural frequency change is not the same for each mode since it depends on the location and severity of the crack.

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Section: Introductionmentioning

confidence: 99%

Notice of Retraction: On the effects of crack severity and location on transverse vibration of a non-proportional damped beam

Seyed-Aghazadeh

Rezaee

2010

2010 2nd International Conference on Mechanical and Electronics Engineering

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“…(29), the modal damping ratio can be calculated by substituting the solution of k into Eq. (26). Comparison between the complex rotational stiffness and FE methods is shown in Figs.…”

Section: Validation Of Complex Rotational Stiffness Approachmentioning

confidence: 99%

“…For cantilever beams, the dynamic analysis can be accomplished by the Bernoulli-Euler beam theory [23,24]. A continuum beam with dampers has been theoretically studied, i.e., with a viscous damper in the longitudinal [25] and in the transverse direction [26], with rotational dampers at the free end [27], and with a viscous damper attached intermediately [28,29]. For damped outrigger systems, Chen and Wang [30] explored a single damped outrigger in a building based on the principle of virtual work.…”

Section: Introductionmentioning

confidence: 99%

Dynamic characteristics of novel energy dissipation systems with damped outriggers

Tan

Fang

Chang

et al. 2015

Engineering Structures

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“…De fato, considerando-se o controle não linear: Observa-se, a vantagem da linearização entrada-saída para o estudo da estabilidade assintótica da dinâmica não linear. Pelos resultados clássicos existentes na literatura [5] e [6], não é possível determinar se a dinâmica não linear é estável, mas não assintoticamente estável, assintoticamente estável ou instável. Pela análise da dinâmica zero foi possível determinar a estabilidade assintótica da dinâmica não linear em torno da origem.…”

Section: A Análise Da Dinâmica Zero Do Sistema E Da Estabilidade Assiunclassified

Análise das deflexões grandes de uma viga com rigidez não linear utilizando a linearização exata a realimentação

Reis¹,

Vasconcellos²,

Neto³

et al. 2015

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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Resumo: A equação de Duffing nas suas várias formas pode ser utilizada para descrever diversos sistemas não lineares. Embora a maioria dos sistemas físicos não possam ser descritos com precisão desta forma, para uma ampla gama de condições operacionais tais como a frequência e amplitude de excitação, em muitos casos, é possível a utilização desta equação como uma descrição aproximada, de modo que seu comportamento possa ser estudado qualitativamente. Neste trabalho considera-se a análise das deflexões grandes de uma Viga com rigidez não linear, cujo modelo matemático pode ser descrito por uma equação de Duffing. A linearização exata no espaço de estados é o método proposto para análise dessa dinâmica não linear. Apresenta-se a análise da dinâmica interna e da estabilidade assintótica local. Finalmente, exemplos numéricos são apresentados.Palavras-Chave: Equação de Duffing, Deflexão de Vigas, Linearização Entrada-saída, Estabilidade Assintótica.

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Dynamic response of a viscously damped cantilever with a viscous end condition

Cited by 31 publications

References 7 publications

Notice of Retraction: On the effects of crack severity and location on transverse vibration of a non-proportional damped beam

Notice of Retraction: On the effects of crack severity and location on transverse vibration of a non-proportional damped beam

Dynamic characteristics of novel energy dissipation systems with damped outriggers

Análise das deflexões grandes de uma viga com rigidez não linear utilizando a linearização exata a realimentação

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