Vibration characteristics of a cantilever plate with attached spring–mass system

Chiba, Masakatsu; Sugimoto, Tomiji

doi:10.1016/s0022-460x(02)00921-5

Cited by 44 publications

(19 citation statements)

References 17 publications

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“…This has previously been investigated theoretically on the macroscopic scale. [6][7][8] The sensitivity of cantilever based mass sensors has been investigated by several groups 9,10 and the terminology used here is adopted from the work of Ekinci et al 10 The mass responsivity is R Ϸ 2 ⌬f / ⌬m, and the intrinsic sensitivity is ␦m n ϰ R −1 ͱ 1/ n Q n ͑assuming the energy in the cantilever is constant͒.…”

Section: * ͑1͒mentioning

confidence: 99%

Enhanced functionality of cantilever based mass sensors using higher modes

Dohn

Sandberg

Svendsen

et al. 2005

Applied Physics Letters

255

171

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By positioning a single gold particle at different locations along the length axis on a cantilever based mass sensor, we have investigated the effect of mass position on the mass responsivity and compared the results to simulations. A significant improvement in quality factor and responsivity was achieved by operating the cantilever in the fourth bending mode thereby increasing the intrinsic sensitivity. It is shown that the use of higher bending modes grants a spatial resolution and thereby enhances the functionality of the cantilever based mass sensor.

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Section: * ͑1͒mentioning

confidence: 99%

Enhanced functionality of cantilever based mass sensors using higher modes

Dohn

Sandberg

Svendsen

et al. 2005

Applied Physics Letters

255

171

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“…They used a new set of admissible functions, which are the static solutions of a point-supported beam under a series of sine loads. Chiba and Sugimoto [9] used the so-called Rayleigh-Ritz method for the problem of a cantilever plate attached to a 'spring-mass' system. They systematically clarified the coupled vibration characteristics of the system by thoroughly studying the effects of the 'spring-mass' attachment.…”

Section: Mathematical Modelmentioning

confidence: 99%

The first frequency of cantilevered bars with geometric effect: a mathematical and experimental evaluation

Wahrhaftig

Brasil

Balthazar

2013

J Braz. Soc. Mech. Sci. Eng.

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In engineering, a large number of structures may be modeled as cantilevers. Due to their intrinsic characteristics, some of these structures are sensitive to dynamic actions. Gusts of wind are dynamic excitations for which the fundamental frequency of vibration is an important factor when calculating the structural response. Modeling the effects of the axial force on the natural frequencies of a structure usually results in systems of differential equations that are not solvable from a practical engineering perspective. This article develops a simple mathematical expression for calculating the fundamental frequency of cantilevered structures, within small ranges, that considers the presence of an axial demand. This expression has been validated by dynamic laboratory testing.

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“…Vibration of an isotropic plate with attached mass is considered in some of the previous studies. Coupled free vibration analysis has been performed on a cantilever thin plate carrying a spring-mass system attached on an arbitrary point by using Rayleigh-Ritz method [20]. Influence of an attached springmass system, i.e., attached position, relative values of mass and spring constant, on the coupled vibration characteristics of the system has been clarified comparing with those of uncoupled ones.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of symmetric laminated composite plates with attached mass

Aydoğdu

Filiz

2015

Mechanics of Advanced Materials and Structures

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In this study, vibration of symmetrically laminated composite plates with attached mass is studied. The Ritz method with algebraic polynomial displacement field is used. The plates with at least two adjacent free edges are considered in the formulations. The effect of various parameters (number of layers, ratio of attached mass to the plate mass, position of attached mass, fiber orientation) upon the frequencies and mode shapes is investigated. It is found that attachment of a mass has important effects on the vibration characteristics of composite laminated plates.

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Vibration characteristics of a cantilever plate with attached spring–mass system

Cited by 44 publications

References 17 publications

Enhanced functionality of cantilever based mass sensors using higher modes

Enhanced functionality of cantilever based mass sensors using higher modes

The first frequency of cantilevered bars with geometric effect: a mathematical and experimental evaluation

Vibration analysis of symmetric laminated composite plates with attached mass

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