Using Modal Analysis for Estimation of Anisotropic Material Constants

Larsson, David

doi:10.1061/(asce)0733-9399(1997)123:3(222)

Cited by 47 publications

(32 citation statements)

References 11 publications

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“…Frederiksen [6][7][8] tested different ceramics composite and fibre-reinforced epoxy panels for which both elastic constants governing the classical thin-plate theory and constants associated with the thick-plate theory were estimated. Larsson [9] matched the results from experimental modal testing with theoretical modal analysis calculations for a set of plate bending modes and one in-plane mode of the compression type. The elastic constants are estimated by minimising the relative errors between corresponding experimentally and theoretically determined natural frequencies.…”

Section: Introductionmentioning

confidence: 53%

Fuzzy Sensitivity Analysis for the Identification of Material Properties of Orthotropic Plates From Natural Frequencies

Hanss¹,

Hurlebaus²,

Gaul³

2002

Mechanical Systems and Signal Processing

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Section: Introductionmentioning

confidence: 53%

Fuzzy Sensitivity Analysis for the Identification of Material Properties of Orthotropic Plates From Natural Frequencies

Hanss¹,

Hurlebaus²,

Gaul³

2002

Mechanical Systems and Signal Processing

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“…Thickness of plates also plays a cardinal role in deciding the use of appropriate plate theory in finite element modelling. Hence, collection of previous studies can be classified into thin isotropic [115,116], thin anisotropic [121,123], thin orthotropic [66,120,129], thin laminated plates [69,70,86,110,112,118,127] as well as thick anisotropic [122] and thick laminated plates [77, 78, 112-114, 117, 119, 124-126, 128, 130-132]. However, this procedure was not encouraged when the homogeneity of the material was the subject of investigation.…”

Section: Finite Element Methodmentioning

confidence: 97%

“…Besides, there are also few studies done on plates of various geometrical shapes, as shown in [115,116]. In the aspect of boundary condition, plates with free-free edges [66,69,70,77,78,83,86,[110][111][112][113][114][115][116][117][118][119][120][121][122][123][124][125][126][127][128]130], simply-supported edges [110] and clamped edges [83,129] are often taken into investigation. Generally, laminated plates are utilized in previous studies [86,110,[112][113][114][117][118][119].…”

Section: Finite Element Methodmentioning

confidence: 99%

Identification of material properties of composite materials using nondestructive vibrational evaluation approaches: A review

Tam

Ong

Ismail

et al. 2016

Mechanics of Advanced Materials and Structures

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Destructive identification approaches are no longer in favour ever since the existence of non-destructive evaluation approaches as they are accurate, rapid and cheap. Researchers are devoted in improving the accuracy, rate of convergence, and cost of such approaches which depend greatly on the types of vibrational experiments conducted and the types of forward and inverse methods used in numerical section. Therefore, this paper presents a review on the development of non-destructive vibrational evaluation approaches in identifying the elastic constants of composite plates, in experimental and numerical manners in order to enlighten researchers with the current trends of non-destructive vibrational approaches.

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“…The normalized value of increased frequency is the relative sensitivity of that parameter at that mode. 7 This sensitivity diagram provides a basis to decide the inclusion of a particular set of modes in the system identi cation algorithm.…”

Section: Sensitivity Analysismentioning

confidence: 99%

Estimation of Layerwise Elastic Parameters of Stiffened Composite Plates

Chakraborty

Mukhopadhyay

2000

AIAA Journal

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For the rst time, an investigation of stiffened and unstiffened multilayered composite plates has been conducted to determine the material property parameters of the plate as well as the stiffener from numerically simulated experimental modal data and nite element predictions, using model updating techniques. The problem is formulated as a global minimization of the error function, de ned by the difference in undamped eigenvalues as well as mode shapes, as predicted from the nite element modeling compared to that obtained experimentally. The parameter estimation problem is solved using an iterative gradient-based minimization algorithm, which can start from any randomly selected set of initial parameters. The position, physical properties, and orientation of stiffeners create considerable variations in the modal properties as compared to the bare plates of similar construction. This makes each of the stiffened plate problems rather unique. A few simulated examples are presented, and the methodology is found to be robust, even in the presence of random noise. Nomenclaturea = amplitude of noise boundl(i ) = lower bound of the variable boundu(i ) = upper bound of the variable E = Young's modulus of a lamina E T = total error term in the objective function E1 = Young's modulus of a lamina of the plate in the longitudinal material direction E2 = Young's modulus of a lamina of the plate in transverse material direction E S1 = Young's modulus of the lamina of the stiffener in longitudinal material direction E S2 = Young's modulus of the lamina of the stiffener in transverse material direction E x , E u , E p = error terms for frequency, mode shape, and internal penalty, respectively G12, G13, G23 = shear modulus of the lamina of the plate G S12 = in-plane shear modulus of the lamina of the stiffener M = number of measured modes ncons = number of parameters with constraints nused = number of modes considered P L i = lower bound of the i th parameter P U i = upper bound of the i th parameter P ¤ i = value of the i th parameter P R12= in-plane Poisson's ratio of the lamina of the plate P S12 = in-plane Poisson's ratio of the lamina of the stiffener r = uniformly distributed sequence of random numbers between ¡ 1 and +1 rr(i ) = constant for evaluating internal penalty W x , W u , W p = weighting factors of frequency, mode shape, and internal penalty, respectively X = noise-free reference data X ¤ = noisy data (frequency or component of eigenvector) x(i ) = i th parameter g = deterministic design allowable

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Using Modal Analysis for Estimation of Anisotropic Material Constants

Cited by 47 publications

References 11 publications

Fuzzy Sensitivity Analysis for the Identification of Material Properties of Orthotropic Plates From Natural Frequencies

Fuzzy Sensitivity Analysis for the Identification of Material Properties of Orthotropic Plates From Natural Frequencies

Identification of material properties of composite materials using nondestructive vibrational evaluation approaches: A review

Estimation of Layerwise Elastic Parameters of Stiffened Composite Plates

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