Vibration analysis of submerged rectangular microplates with distributed mass loading

Variable Angle Tow (VAT) placed composite laminates, where the fibre orientations continuously varying over the plane of each ply, generally exhibit variable stiffness properties. The stiffness tailoring of VAT plates through the design of fibre orientation distributions can substantially improve the buckling resistance, which is mainly due to the benign, non-uniform, in-plane load redistribution. In this work, a new mathematical definition is proposed to represent the general variation of fibre-orientation in the VAT plate. In this definition, the coefficients of polynomials are directly equal to the designed fibre angles at pre-selected control points. A Rayleigh-Ritz approach is used to determine the prebuckling loads distributions and critical buckling load of VAT plates. It provides a more efficient means to evaluate the buckling load of VAT laminates, compared with other numerical solutions. Subsequently, preliminary optimisation of VAT plates for maximum buckling load is done using the proposed definition of nonlinear variation of fibre angles. Results obtained for simply supported square VAT plates are compared with optimal results reported in the literature. Finally, long VAT plates with one free edge and others simply supported are studied to demonstrate the viability of the proposed modelling strategy

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“…The transverse displacement (w) is expanded into a series and is required to satisfy the plate boundary conditions [29],…”

Section: Bucklingmentioning

confidence: 99%

Buckling analysis and optimisation of variable angle tow composite plates

Wu¹,

Weaver²,

Raju³

et al. 2012

Thin-Walled Structures

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258

143

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“…The most dominant change of the dynamics of membrane induced by cell-loading is the shift of resonance frequencies. As the first mode shapes remain almost constant [16], and the amplitudes of each FRF were selfnormalized with respect to the amplitude of first resonant mode. Relative amplitudes of resonant modes are found to be significantly varied after the cell loading.…”

Section: Resultsmentioning

confidence: 99%

“…For the FRF normalization, each spectrum is normalized with respect to the amplitude of its own first resonant mode. The reason for choosing the first resonant mode as the reference is based on the theoretical analysis results in [16], which prove that the mass loading has the slightest effects on the first resonant mode of a rectangular membrane.…”

Section: Frf Data Normalization and Order-reductionmentioning

confidence: 99%

A novel silicon membrane-based biosensing platform using distributive sensing strategy and artificial neural networks for feature analysis

Choudhury

Griffiths

et al. 2011

Biomed Microdevices

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A novel biosensing system based on a micromachined rectangular silicon membrane is proposed and investigated in this paper. Distributive sensing scheme is designed to monitor the dynamics of the sensing structure.An artificial neural network is used to process the measured data and to identify cell presence and density. Without specifying any particular bio-application, the investigation is mainly concentrated on the performance testing of this kind of biosensor as a general biosensing platform. The biosensing experiments on the microfabricated membranes involve seeding different cell densities onto the sensing surface of membrane, and measuring the corresponding dynamics information of each tested silicon membrane in the form of a series of frequency response functions (FRFs). All of those experiments are carried out in a cell culture medium to simulate a practical working environment. The EA.hy 926 endothelial cell lines are chosen in this paper for the bio-experiments. The EA.hy 926 endothelial cell lines represent a particular class of biological particles that have unregular shapes, non-uniform density and uncertain growth behaviour, which are difficult to monitor using the traditional biosensors. The final predicted results reveal that the methodology of a neural-network based algorithm to perform the feature identification of cells from distributive sensory measurement, has great potential in biosensing applications.

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“…Based on Eq. (10), one can write (14) It is possible to express a similar constitutive relation between the double stress and strain gradient tensors as follows (15) in which the sixth-order tensor is given by the following formula using Eq. (11)…”

Section: Strain Gradient Theorymentioning

confidence: 99%

“…Therefore, different characteristics of these microstructures, especially their mechanical behavior, have been the focus of significant research. In this regard, classic continuum models have been used in different research works to analyze the mechanical problems of microbeams and microplates (e.g., free vibration and buckling in both linear and nonlinear regimes) [11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%