Natural frequencies of a vibrating repaired panel in an ocean structure

Felix, Daniel H.; Bambill, Diana V.; Rossit, Carlos A.; Rossi, R.E.; Laura, P.A.A.

doi:10.1016/s0029-8018(02)00082-3

Cited by 4 publications

(3 citation statements)

References 5 publications

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“…Plates having internal holes and attached masses are very important in many engineering applications [1][2][3]. Particularly, internal holes are necessary in plates due to operational conditions, namely passage of conduits or ducts, electrical conductors, etc.…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Perforated Plates Using Time-Average Digital Speckle Pattern Interferometry

et al. 2009

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Digital Speckle Interferometry is a non invasive full-field coherent optical technique used in mechanical vibration measurement. In this research, it is used for tuning resonant frequencies of vibrating plates in order to investigate the dynamical behavior of perforated plates. The plate was excited to resonant vibration by a sinusoidal acoustic source. Fringe pattern produced during the timeaverage recording of the vibrating plate, for several resonant frequencies were registered. Results of plates fixed at one edge having internal holes and attached masses are presented. Experimental natural frequencies and modal shapes are compared to those obtained by an analytical approximate solution based on the Rayleigh-Ritz method with the use of orthogonal polynomials as coordinate function. A high degree of correlation between computational analysis and experimental results was observed, proving the potentiality of the optical technique as experimental validation of the numerical simulations.

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Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Perforated Plates Using Time-Average Digital Speckle Pattern Interferometry

et al. 2009

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“…q of a clamped square orthotropic plate carrying an elastically mounted mass m 0 , located at x 0 , y 0 The patch may be a strengthened zone of the plate or a repaired portion, and its elastic properties are supposed to have orthotropic characteristics (Ercoli et al, 1992;Felix et al, 2003).…”

Section: Numerical Resultsmentioning

confidence: 99%

Natural frequencies of thin, rectangular plates with holes or orthotropic “patches” carrying an elastically mounted mass

Bambill¹,

Felix²,

Rossit³

2006

International Journal of Solids and Structures

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The approximate solution for the title problem is obtained in the case of simply supported and clamped rectangular plates made of isotropic or orthotropic materials. A variational approach (the well known Rayleigh-Ritz method) is used, where the displacement amplitude is expressed in terms of beam functions. This means that each coordinate function satisfies identically all the boundary conditions at the outer edge of the plate. Free vibration analysis has been performed on various different cases; solid isotropic and orthotropic plates, orthotropic plates with a hole and isotropic plates with an orthotropic inclusion or ''patch'', carrying an elastically mounted concentrated mass. It is important to point out that the case of an orthotropic patch is interesting from a technological viewpoint since it constitutes a model of a repair implemented on the virgin structural element when it has suffered damage. This approach has been implemented by the aeronautical industry in some instances. The obtained results are in very good agreement with those of particular cases of simply supported plates available in the literature.

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“…An elastic plate, as the basic structural element, is widely used in engineering fields such as mechanical engineering [1,2] and in electronic equipments [3,4]. Its dynamic parametric solution can be used in system design optimization, fault diagnosis, reliability analysis, and system identification.…”

Section: Introductionmentioning

confidence: 99%

Fundamental frequency and testing mode of complicated elastic clamped-plate vibration

Guan

2008

Front. Mech. Eng. China

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Aimed at the modal analysis of complicated elastic clamped-plates, a trigonometric interpolation method of conformal mapping is applied to set up the mapping function between a complicated region and a unit dish region, and the fundamental frequency of the complicated vibrating region is analyzed with the help of the Galerkin method. Taking an elastic rectangle-plate with arc radius as an example, the testing mode frequency band of plates is determined by analyzing the fundamental frequency; meanwhile, according to hamming testing method of multi-point excitation to the single-point response, and by signal processing technology and its software programming, modal parameter recognition of the elastic clamped-plate is completed. Comparing the first order modal frequency with the theoretical fundament frequency, the validity of the testing mode method and theoretical analysis are verified.

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Natural frequencies of a vibrating repaired panel in an ocean structure

Cited by 4 publications

References 5 publications

Vibration Analysis of Perforated Plates Using Time-Average Digital Speckle Pattern Interferometry

Vibration Analysis of Perforated Plates Using Time-Average Digital Speckle Pattern Interferometry

Natural frequencies of thin, rectangular plates with holes or orthotropic “patches” carrying an elastically mounted mass

Fundamental frequency and testing mode of complicated elastic clamped-plate vibration

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