Vibration of circular membrane backed by cylindrical cavity

Rajalingham, C.; Bhat, Rama; Xistris, G. D.

doi:10.1016/s0020-7403(97)00065-9

Cited by 17 publications

(13 citation statements)

References 9 publications

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“…To fully capture the acoustic-structural interaction, various analytical mechanics models have been developed, which are categorized in terms of how the cavity is modeled: i) using the Reynolds equation for thin viscous fluid films (also referred as squeeze film damping) [12][13][14][15][16], or ii) using the sound wave equation where the viscous term is usually neglected [17][18][19][20][21][22][23][24][25][26]. Following the second approach, but in the context of dynamic pressure sensors, we have previously developed an analytical model to investigate how the static mechanical sensitivity SS c and fundamental natural frequency f c1 change when the cavity length l continuously decreases [27].…”

Section: Introductionmentioning

confidence: 99%

Effects of Air Cavity in Dynamic Pressure Sensors: Experimental Validation

Qian

Song

Liu

2020

Sensors

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An air-backed diaphragm is the key structure of most dynamic pressure sensors and plays a critical role in determining the sensor performance. Our previous analytical model investigated the influence of air cavity length on the sensitivity and bandwidth. The model found that as the cavity length decreases, the static sensitivity monotonically decreases, and the fundamental natural frequency shows a three-stage trend: increasing in the long-cavity-length range, reaching a plateau value in the medium-cavity-length range, and decreasing in the short-cavity-length range, which cannot be captured by the widely used lumped model. In this study, we conducted the first experimental measurements to validate these findings. Pressure sensors with a circular polyimide diaphragm and a backing air cavity with an adjustable length were designed, fabricated, and characterized, from which the static sensitivities and fundamental natural frequencies were obtained as a function of the cavity length. A further parametric study was conducted by changing the in-plane tension in the diaphragm. A finite element model was developed in COMSOL to investigate the effects of thermoviscous damping and provide validation for the experimental study. Along with the analytical model, this study provides a new understanding and important design guidelines for dynamic pressure sensors with air-backed diaphragms.

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Section: Introductionmentioning

confidence: 99%

Effects of Air Cavity in Dynamic Pressure Sensors: Experimental Validation

Qian

Song

Liu

2020

Sensors

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“…In (Dowel 1962), the effect of a rectangular cavity on panel vibration was examined but was restricted to a one-way coupling and only symmetric modes were considered. In (Rajalingham 1998), they examined the coupling between an open-ended cavity and a circular membrane in which the cavity did not experience a feedback response from the membrane. Gorman 2001, studied the response of a pressure sensor design with a cavity/disc-plate coupling.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Vibration Suppression of Pressurized Optical Membrane

Tarazaga

Johnson

Inman

2008

Smart Materials, Adaptive Structures and Intelligent Systems, Volume 1

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Optical membranes are being pursued for their ability to replace the conventional mirrors that are used to correct wave front aberration and space based telescopes. Among some of the many benefits of using optical membranes, is their ability to considerably reduce the weight of the structure. As a secondary effect, the cost of transportation, which is of great interest in space applications, is reduced as well.Another interesting advantage is the ability to have a continuous surface for the attenuation of wave front aberrations, instead of a discrete grid of rigid mirrors that have to be individually controlled. The effect of adding a pressurized cavity behind an optical membrane are examined in this paper by coupling an acoustic cylindrical cavity to a cylindrical membrane at its boundaries. This paper also looks at using a positive position feedback controller for vibration suppression of the membrane. This is done by using a centralized acoustic source in the cavity as the method of actuation. The acoustic actuation is of great interest since it does not mass load the membrane in the conventional way, as most methods of actuation would.

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“…These basic models were extended and applied to problems involving rectangular plates backed by rectangular cavities [3,4,5,6]. A study has been performed on the case of a circular membrane vibrating in contact with a gas contained in both a closed and open cylindrical cavity [7]. With respect to the case of vibro-acoustic effects involving a circular plate, Lee and Singh [8] analysed the characteristics of the acoustic radiation emitted from a vibrating circular plate in free space and Gorman et al considered the case of a circular disc covering a cylindrical acoustic cavity in the absence of [9] and presence [10] of inplane membrane stress in which they developed coupled system equations for iterating the coupled natural frequencies only.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the free vibration of a coupled plate/fluid interacting system and interpretation using sub-system modal energy

Gorman

Horáček

2007

Engineering Structures

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This paper describes a method for describing and quantifying the vibratory behaviour of interacting structural/fluid systems based upon reference to the relative energy associated with each of the sub-systems. The particular case selected is that of a circular plate in interaction with a cylindrical fluid cavity. A theoretical analysis is performed, based upon the Euler Bernoulli and Helmholtz equations combined through a Galerkin technique, from which the natural frequencies and associated mode functions of the interacting system are calculated. The convergence of the analysis is investigated and the opportunity is taken to investigate the sensitivity of the coupled natural frequencies to different assumed mode shapes of the plate in vacuo. Subsequently the coupled mode functions are used to describe details of the energy associated with the plate and the fluid. It is found that presentation of these relative energies renders a satisfactory insight into the vibration behaviour of the coupled system

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Vibration of circular membrane backed by cylindrical cavity

Cited by 17 publications

References 9 publications

Effects of Air Cavity in Dynamic Pressure Sensors: Experimental Validation

Effects of Air Cavity in Dynamic Pressure Sensors: Experimental Validation

Modeling and Vibration Suppression of Pressurized Optical Membrane

Analysis of the free vibration of a coupled plate/fluid interacting system and interpretation using sub-system modal energy

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