Performance of a Non Linear Dynamic Vibration Absorbers

Djemal, Fathi; Chaari, Fakher; Dion, Jean-Luc; Renaud, François; Tawfiq, Imad; Haddar, Mohamed

doi:10.1017/jmech.2014.76

Cited by 11 publications

(7 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Jumping phenomenon is observed both theoretically and experimentally in the study of a nonlinear 2-degree-of-freedom vibration isolation system. 21 Similar studies have been conducted in the literature; for instance, the stability analysis of seat isolation systems 22 and the stability analysis of the high-speed railway suspension systems. 23 Many achievements have been made in these studies.…”

Section: Introductionmentioning

confidence: 77%

Analysis of dynamic stability of nonlinear suspension

Yao¹,

Zhang²,

Zhao³

et al. 2018

Advances in Mechanical Engineering

View full text Add to dashboard Cite

The vehicle is excited by the road surface while traveling. The vehicle suspensions play a significant role not only in damping out the vibrations created due to the excitation but also in maintaining the stability of the entire system. In this article, the dynamic stability of nonlinear suspension under this excitation is analyzed. The mathematic model for the suspension is established, the nonlinear vibration caused by sprung mass vibration is solved and frequency curves are obtained. Both the characteristics of the stable solution and the related parameters affecting the unstable region are analyzed. The numeric solution reveals the existence of a critical excitation value. When the excitation is within this critical value, the sprung mass vibration is stable; when the excitation is greater than the critical value, an unstable frequency band with the jumping phenomenon is observed. Under the same excitation acceleration, a decrease in damping coefficient results in an increase in both the amplitude and unstable frequency band, all falling into the unstable region which is getting larger. The increase in nonlinear stiffness of spring leads to the same maximum vibration amplitude shifting to the right and a larger unstable frequency band falling into the downward movement unstable region. All these indicate that there exists mutation in the amplitude of vehicle vibration, which endangers the stability of the vehicle while traveling.

show abstract

Section: Introductionmentioning

confidence: 77%

Analysis of dynamic stability of nonlinear suspension

Yao¹,

Zhang²,

Zhao³

et al. 2018

Advances in Mechanical Engineering

View full text Add to dashboard Cite

show abstract

“…Equation ( 33) is a multiple algebraic equation solely for the steady-state response a B of the dynamic vibration absorber, and upon obtaining this equation, it can be substituted into Equation (32) to determine the steady-state response a A of the main vibration system. Since a single frequency of disturbance corresponds to multiple numerical solutions in nonlinear equations, it is essential to determine the amplitudes that can be achieved physically and to establish the stability of the solutions of the above nonlinear dynamic equation.…”

Section: Two-degree-of-freedom Nonlinear Dynamics Modelmentioning

confidence: 99%

A Ball-Contacting Dynamic Vibration Absorber with Adjustable Stiffness and Nonlinear Characteristics

Hu,

Wei,

Yang

et al. 2024

Aerospace

View full text Add to dashboard Cite

Structural vibration has always been a major concern in the engineering field. A dynamic vibration absorber in the form of contacts with adjustable stiffness (CDVA) offers effective vibration suppression and can improve conventional dynamic vibration absorbers with high sensitivity to frequency deviation and difficulty in adjusting the frequency. In this research, first, based on the theoretical model of the contact between a rubber ball and an inner cone, the feasibility of changing the axial contact state to change the structure’s natural frequency was verified using an ANSYS simulation. A theoretical model of the static contact stiffness between the ball and the inner cone was constructed using Hertzian contact theory and Hooke’s law, and a theoretical model of the cubic nonlinear elastic restoring force was used to characterize the stiffness properties of the rubber ball during compressive rebound. The steady-state frequency response equations of the main vibration structure were derived using the averaging method in conjunction with the two-degree-of-freedom dynamics model, and the stability of the solutions to the frequency response equations was obtained in conjunction with the stability determination criterion. Then, the impact of the CDVA’s design parameters on the nonlinear dynamic response of the primary vibration structure was simulated and analyzed. The resulting findings can serve as guidance for designing dynamic vibration absorber parameters. Based on the principles of ball-inner cone contact, a dynamic vibration absorber structure was proposed. A design test was conducted to verify the correctness of the contact stiffness model, and an experimental study was carried out to investigate the law of change in the dynamic stiffness and damping of the principle structure of CDVA under dynamic excitation conditions. Finally, the vibration test platform of the solidly supported beam structure was constructed, and vibration suppression tests of the CDVA in different compression states were conducted to investigate the tunability and feasibility of CDVA vibration suppression. The results showed that the dynamic vibration absorber had good vibration absorption characteristics and could be used for single-mode vibration suppression of multimodal main structures.

show abstract

“…Alternatively, many efforts have been made in TMDs to provide the adaptable restoring forces. For example, TMD was designed to have adjustable stiffness by changing its pendulum length; shape memory alloy springs were employed in TMD to adjust its stiffness property; a certain degree of nonlinearity in TMD stiffness was explored by connecting a spring to a rotating mass or inserting a very small gap between the TMD and the primary mass . In parallel with the studies of adjustable stiffness in TMDs, some methods to adjust the TMD mass and damping have also been studied .…”

Section: Introductionmentioning

confidence: 99%

“…For example, TMD was designed to have adjustable stiffness by changing its pendulum length 30,31 ; shape memory alloy springs were employed in TMD to adjust its stiffness property 32 ; a certain degree of nonlinearity in TMD stiffness was explored by connecting a spring to a rotating mass 33 or inserting a very small gap between the TMD and the primary mass. 34 In parallel with the studies of adjustable stiffness in TMDs, some methods to adjust the TMD mass and damping have also been studied. [35][36][37][38][39][40] To achieve these targets, however, these adaptive TMDs further complicated the configurations, required temperature-sensitive materials, or were only applicable to specific control situations.…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical studies of a novel asymmetric nonlinear mass damper for seismic response mitigation

Wang

Liu

et al. 2020

Struct Control Health Monit

View full text Add to dashboard Cite

Summary This paper proposes a novel passive mass damper, namely, asymmetric nonlinear energy sink (Asym NES), which is characterized by integrating linear and nonlinear restoring forces to mitigate the unwanted responses of building structures. The Asym NES, configured based on a cubic NES, consists of an auxiliary mass connected to the primary structure through a linear and nonlinear springs. These two springs are statically balanced at a deformed position, producing an asymmetric restoring force in the Asym NES. The study commences with a detailed working principle of the Asym NES, and the equations of motion of an Asym NES‐attached system are derived. Subsequently, experimental studies on the Asym NES designed for a small‐scale three‐story steel frame are conducted; the natural frequencies of which can be altered by changing the number of columns per story. Moreover, the performance of the Asym NES is compared with a tuned mass damper (TMD) and a cubic NES under impulsive excitations. Test results demonstrate the effectiveness of the Asym NES as well as its robustness against changes in the structural frequency. Following the experimental studies, the validated Asym NES model is further applied in the numerical investigation on a six‐story benchmark building to highlight its effectiveness and robustness in potential practical applications. Besides the impulsive excitations, an ensemble of 106 seismic ground motions with wide‐ranged energies is applied to the structures with original and decreased frequencies. Numerical results show that the proposed Asym NES is as effective as the in‐tune TMD in response mitigation under seismic excitations and exhibits strong robustness against changes in both the energy level and the structural frequency. The ingenious design and excellent efficiency of the Asym NES can offer a promising type of high‐performance device for structural control under extreme events.

show abstract

Performance of a Non Linear Dynamic Vibration Absorbers

Abstract: International audienceno abstrac

Cited by 11 publications

References 12 publications

Analysis of dynamic stability of nonlinear suspension

Analysis of dynamic stability of nonlinear suspension

A Ball-Contacting Dynamic Vibration Absorber with Adjustable Stiffness and Nonlinear Characteristics

Experimental and numerical studies of a novel asymmetric nonlinear mass damper for seismic response mitigation

Contact Info

Product

Resources

About