Transverse Vibration Analysis for Partly Wrinkled Membranes

Hossain, N. M. A.; Jenkins, Christopher; Woo, Kyeongsik; Igawa, Hirotaka

doi:10.2514/1.11327

Cited by 21 publications

(8 citation statements)

References 14 publications

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“…In addition, he analyzed the experimental results in consideration of air damping. Hossai and Jenkins [16,17] studied the vibration characteristics of wrinkled triangular and annular membrane by comparison of experimental results. In their studies, penalty parameter modified material (PPMM) was used in the simulation.…”

Section: Introductionmentioning

confidence: 99%

A study on wrinkling characteristics and dynamic mechanical behavior of membrane

Tan

et al. 2011

Acta Mech Sin

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An eigenvalue method considering the membrane vibration of wrinkling out-of-plane deformation is introduced, and the stress distributing rule in membrane wrinkled area is analyzed. A dynamic analytical model of rectangular shear wrinkled membrane and its numerical analysis approach are also developed. Results indicate that the stress in wrinkled area is not uniform, i.e. it is larger in wrinkling wave peaks along wrinkles and two ends of wrinkle in vertical direction. Vibration modes of wrinkled membrane are strongly correlated with the wrinkling configurations. The rigidity is larger due to the heavier stress in the part of wrinkling wave peaks. Therefore, wave peaks are always located at the node lines of vibration mode. The vibration frequency obviously increases with the vibration of wave peaks.

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Section: Introductionmentioning

confidence: 99%

A study on wrinkling characteristics and dynamic mechanical behavior of membrane

Tan

et al. 2011

Acta Mech Sin

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“…[37][38][39][40][41] In recent studies, localized out-of-plane congurations have improved the dynamics of graphene 42,43 which is the same conclusion as the wrinkled continuum membrane. 44,45 However, our studies reveal an abnormal decrease in resonant frequency when the graphene is slightly wrinkled. To elucidate this discovery, we rstly simulated graphene wrinkling using molecular dynamics, and then evaluated the effects of the wrinkles on the vibrational characteristics of graphene.…”

Section: Introductionmentioning

confidence: 67%

“…This result is quite different from the conclusions obtained from the wrinkled continuum membrane. 44,45 For the continuum membrane, the resonant frequency is improved only by the wrinkle. However, the resonant frequency of graphene may be enhanced by the heavy wrinkle, as well as be decreased by the slight wrinkle.…”

Section: Resultsmentioning

confidence: 99%

Abnormal frequency characteristics of wrinkled graphene

Wang

Liu

et al. 2014

RSC Adv.

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This paper observes an abnormal phenomenon in the frequency variation of wrinkled graphene. Compared with the pristine case, a slight wrinkle decreases the resonant frequency, while a heavy wrinkle increases the resonant frequency. This observation gave us the idea to tune the wrinkle and work out the frequency variation of graphene.Our results reveal that the frequency shift of graphene may be tuned by wrinkles ranging from 83.8% to 128.6%. The abnormal frequency variation is close to the dominant contributions of the effective mass involved in vibration and the wrinkled stress level. The effective mass involved in vibration governs the decreasing trend of the resonant frequency in graphene which has slight wrinkles. The wrinkled stress level controls the increase in resonant frequency of heavily wrinkled graphene. A modified prediction model is proposed which predicts the abnormal frequency variation and evaluates the resonant frequency of wrinkled graphene within 2% mean difference. Our results will benefit the design of wrinkle-tuned variable-frequency nano-resonators or devices.

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“…Li et al [28] and Zheng et al [29] investigated the wrinkling and propagation of elastic waves in a film-substrate bilayer system with surface/ interfacial structures. A few studies have focused on the influence of wrinkles on the dynamic behavior of free-standing films [30], although free-standing nonuniform films have been widely used in engineering [10,31,32]. For example, free-standing nonuniform films are applied as a thin-film antenna in aerospace engineering, and the dynamic control of these films is a crucial issue in structural design.…”

Section: Introductionmentioning

confidence: 99%

Controllable Propagation of Bending Waves in Wrinkled Films

Ding

Zhao

Yan

et al. 2019

Journal of Applied Mechanics

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Wrinkling is a common phenomenon in natural and engineering film structures. The wrinkles influence the geometry and dynamic response of these structures. In this work, we investigate the wrinkling of a stretched thin film containing engineered microstructures and its derived functionality on controlling the propagation of bending waves. The underlying mechanism is revealed and the effect of wrinkles on the bandgap of bending waves is systematically evaluated via numerical simulations based on the Bloch wave theory. We show that wrinkles with a customized wavelength can be triggered in the microstructured film due to the mismatched deformation in the film. The bandgap of the wrinkled film can be finely tuned via applied stretching, resulting in the controllable propagation of bending waves in thin films. Our work provides fundamental insights into wave propagation in wrinkled films and potential applications for dynamic control of the wave propagation in engineering film structures.

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Transverse Vibration Analysis for Partly Wrinkled Membranes

Cited by 21 publications

References 14 publications

A study on wrinkling characteristics and dynamic mechanical behavior of membrane

A study on wrinkling characteristics and dynamic mechanical behavior of membrane

Abnormal frequency characteristics of wrinkled graphene

Controllable Propagation of Bending Waves in Wrinkled Films

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