Simple and double Hopf bifurcations in aeroelastic oscillators with tuned mass dampers

Gattulli, Vincenzo; Fabio, Franco Di; Luongo, Angelo

doi:10.1016/s0016-0032(00)00077-6

Cited by 44 publications

(57 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the series of papers [28][29][30][31][32][33][34][35] interesting results about control of oscillations for many different systems can be found: tethered satellite systems, aeroelastic oscillators and tuned mass dampers, double pendulum, and nonlinear energy sinks.…”

Section: Controlmentioning

confidence: 99%

“…2. About aeroelastic oscillators and tuned mass dampers, the control of a single DOF system under aerodynamic forces inducing galloping is dealt with [30] considering the flow-structure interaction as the only source of nonlinearity. Critical conditions for occurrence of simple Hopf bifurcation as well as non-resonant and 1:1 resonant double Hopf bifurcations are detected.…”

Section: Controlmentioning

confidence: 99%

See 1 more Smart Citation

On the contribution of Angelo Luongo to Mechanics: in honor of his 60th birthday

Piccardo

D’Annibale

Zulli

2014

Continuum Mech. Thermodyn.

View full text Add to dashboard Cite

This paper intends to summarize the scientific production of Angelo Luongo on the occasion of his Sixtieth Birthday, focusing on his main contributions in the field of Mechanics. The task will not be easy because of the breadth of his scientific production, only apparently attributable to a restricted number of keywords. In fact, even when the work seems purely algorithmic, speculation on the physical and mechanical aspects of the problem is always present, providing new interpretations and innovative openings to a careful reader. Similarly, also the works, which apparently seem to be high-level applications, always reserve methodological aspects that are not negligible. The editorial choice to divide his papers through a small number of keywords is certainly simplistic, but offers the possibility to better highlight all the connections among his variegated production. The most original contributions of Angelo Luongo in the context of perturbation methods, linear and nonlinear dynamics and control, elastic buckling and structural analysis, bifurcation and stability of non-conservative systems, are discussed in detail. Finally, the Angelo Luongo's central role in the creation and development of activities of the international research center M&MoCS is pointed out.

show abstract

Section: Controlmentioning

confidence: 99%

Section: Controlmentioning

confidence: 99%

On the contribution of Angelo Luongo to Mechanics: in honor of his 60th birthday

Piccardo

D’Annibale

Zulli

2014

Continuum Mech. Thermodyn.

View full text Add to dashboard Cite

show abstract

“…Although this procedure is inconsistent, numerical results have shown that it improves the accuracy of the solution for (Gattulli, et al 2001). Imposing the solvability conditions and combining them in a unique equation through a consistent reconstitution procedure, the evolutive equation for the post-critical complex amplitude A follows (see also Gattulli, et al 2003), (9) In Eq.…”

Section: Bifurcation Analysismentioning

confidence: 99%

“…The position is stable or unstable depending on the values of the parameters m -especially on the distinguished parameter ν which accounts for the flow velocity. The problem has been analysed in Rowbottom (1981), Abé (1993), Fujino, et al (1985), Abdel-Rohman (1994) and completely described in Gattulli, et al (2001), where analytical expressions of nonresonant and resonant double Hopf manifolds are given.…”

Section: Bifurcation Analysismentioning

confidence: 99%

“…Investigations on the system postcritical behavior has been performed by means of both numerical, analytical and experimental methods (Fujino, et al 1985, Abdel-Rohman 1994. A first study of the system postcritical behavior as a 2DOF system has been presented by the authors in Gattulli, et al (2001), with the aim to describe the postcritical scenario in the complete parameter-space. In this study, the primary system (PS) and the added mass (TMD) are assumed to posses a SDOF and to be linear, with the only source of nonlinearities arising from the flow-structure interaction.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear Tuned Mass Damper for self-excited oscillations

Gattulli¹,

Fabio²,

Luongo³

2004

Wind and Structures

Self Cite

View full text Add to dashboard Cite

one of the more applied (Hagedorn 1982, Markiewicz 1995. In many cases the connection that realizes the transfer of energy from the main system to the TMD is idealized as a linear spring and dashpot; however this simplification is in contrast with the fact that large relative displacement are expected, thus recent investigation are devoted to nonlinear TMD (Sauter and Hagedorn 2002, Lacarbonara andVestroni 2002).Investigations on the effects of an added mass have permitted to evaluate the optimal mechanical characteristics of the linear device which maximize the critical value at which the dynamic instability phenomenon occurs (Rowbottom 1981, Fujino andAbé 1993). However, in order to investigate system performance when the flow velocity exceeds the critical value, an analysis of the post-critical behavior is needed. Investigations on the system postcritical behavior has been performed by means of both numerical, analytical and experimental methods (Fujino, et al. 1985, Abdel-Rohman 1994. A first study of the system postcritical behavior as a 2DOF system has been presented by the authors in Gattulli, et al. (2001), with the aim to describe the postcritical scenario in the complete parameter-space. In this study, the primary system (PS) and the added mass (TMD) are assumed to posses a SDOF and to be linear, with the only source of nonlinearities arising from the flow-structure interaction. Using a perturbation method, simple and double Hopf bifurcations, occurring at different values of the parameters, have been analyzed. The effectiveness of TMDs has been shown to persist even in the postcritical range, since TMDs generally reduce the amplitude of oscillations in the supercritical case. However, the analysis developed, was only partial, since it was assumed that (a) a pair of conjugate eigenvalues of the Jacobian matrix is stable (simple Hopf) or (b) the two pairs are both critical but distinct (nonresonant double Hopf). In a second paper (Gattulli, et al. 2003) the same model has been considered and the postcritical behavior of the system analyzed for a Hopf bifurcation in the region of 1:1 resonance. The novel analysis leads to a second-order complex bifurcation equation in the amplitude of the unique critical mode. This has permitted to analyze the entire postcritical scenario in the bifurcation parameter space, evidencing the limits of validity of the concept of equivalent single DOF introduced in Fujino, et al. (1985), Abdel-Rohman (1994). An important conclusion of the past analysis is the following: if the control parameters are selected to maximize the critical wind velocity (optimal TMD), then the limit cycle amplitude for large velocities also reaches a minimum. Therefore the optimal TMD keeps its peculiarities even in the nonlinear range. However, since the control parameters are all determined by the required optimal conditions, no other parameters are available to try to further improve the system postcritical behaviour. With the aim to enhance the performance of the TMD, a suitable nonlinearity sh...

show abstract

Performance evaluation of inerter‐based dampers for vortex‐induced vibration control of long‐span bridges: A comparative study

et al. 2020

Struct Control Health Monit

View full text Add to dashboard Cite

Summary Inerter‐based dampers (IBDs) have been proposed to enhance the efficiency of conventional tuned mass dampers (TMDs) in controlling wind‐induced vibration of civil structures recently. In this paper, four different IBDs, with each featuring a specific combination of dashpot–spring elements in series or in parallel with the inerter device, are applied to control the vortex‐induced vibration (VIV) of long‐span bridges. The governing equations of the bridge–IBD system under the effect of VIV are established, and the strategy to optimize the IBD parameters is proposed. The performances of different IBDs in terms of mitigating the VIV response of the deck, the stroke of mass block, the static deformation of spring due to gravity, the reaction force of IBDs on the bridge deck, and the robustness of the system (the control efficiency against the deviation of design parameters from their optimal values) are systematically evaluated and compared. Through this comparative study, the superiorities of IBDs to conventional TMDs in bridge VIV control are illustrated, and two feasible layouts of IBDs that are suitable for bridge VIV control are suggested. On the basis of these results, the guideline for VIV‐resistance design of long‐span bridges with the help of IBDs is also proposed.

show abstract

Simple and double Hopf bifurcations in aeroelastic oscillators with tuned mass dampers

Cited by 44 publications

References 13 publications

On the contribution of Angelo Luongo to Mechanics: in honor of his 60th birthday

On the contribution of Angelo Luongo to Mechanics: in honor of his 60th birthday

Nonlinear Tuned Mass Damper for self-excited oscillations

Performance evaluation of inerter‐based dampers for vortex‐induced vibration control of long‐span bridges: A comparative study

Contact Info

Product

Resources

About