Design of shaped piezoelectric modal sensor for beam with arbitrary boundary conditions by using Adomian decomposition method

Mao, Qibo; Pietrzko, Stanislaw

doi:10.1016/j.jsv.2009.12.016

Cited by 18 publications

(13 citation statements)

References 29 publications

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“…The design and implementation of shaped piezoelectric modal sensors [1][2][3][4][5][6] in order to filter out undesirable structural mode's contributions as applied to active vibration control (AVC) and active structural acoustic control (ASAC) has been intensively investigated in the last decade. In general, shaped piezoelectric sensors made of polyvinylidene fluoride (PVDF) are chosen since these add little loading to light structures and in addition are easy to cut into desired shapes.…”

Section: Introductionmentioning

confidence: 99%

Design of piezoelectric modal sensor for non-uniform Euler–Bernoulli beams with rectangular cross-section by using differential transformation method

Mao

2012

Mechanical Systems and Signal Processing

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Section: Introductionmentioning

confidence: 99%

Design of piezoelectric modal sensor for non-uniform Euler–Bernoulli beams with rectangular cross-section by using differential transformation method

Mao

2012

Mechanical Systems and Signal Processing

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“…There are many practical engineering components that are modeled as nonlinear oscillatory systems. In most cases, the nonlinear dynamics of these systems have been investigated 5 through numerical methods such as the Newmark method, the shooting method, the differential quadrature method and the Adomian decomposition method [1,2,3,4]. Using these simulations to study the effect of different parameters on the dynamics of the system is always time consuming, particularly for multidimensional non-linear systems and the cases where the sensitivities of responses 10 are required.…”

Section: Introductionmentioning

confidence: 99%

An extended harmonic balance method based on incremental nonlinear control parameters

Khodaparast

Madinei

Friswell

et al. 2017

Mechanical Systems and Signal Processing

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General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. The application and verification of the method are illustrated using a non-linear Micro-Electro-Mechanical System (MEMS) subject to a base harmonic excitation. The non-linear control parameters in these examples are the DC voltages that are applied to the electrodes of the MEMS devices.

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“…Firstly, mode shapes for a beam with an arbitrary number of cracks under general boundary conditions are determined by the Adomian decomposition method (ADM). [18][19][20][21][22] Using the Figure 1. The coordinate system for a multiple-cracked beam, elastically restrained at both ends.…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Cracked Beams Using Adomian Decomposition Method and Non-Baseline Damage Detection via High-Pass Filters

Mao¹

2016

IJAV

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The Adomian decomposition method (ADM) and high-pass filters are employed in this study to investigate the free vibrations and damage detection of cracked Euler-Bernoulli beams. Based on the ADM and employing some simple mathematical operations, the closed-form series solution of the mode shapes can be determined for beams consisting of an arbitrary number of cracks under general boundary conditions in a recursive way. Then, a highpass filter is used to extract the irregularity profile from the corresponding mode shape. The location and size of the cracks in the beam can be determined by the peak value of the irregularity profile. The numerical results for different locations and depths of cracks on the damaged beam under different boundary conditions are presented. The results show that the proposed method is effective and accurate. The experimental work for aluminium cantilever beams with one and two cracks was performed to verify the proposed method. The successful detection of cracks in the beam demonstrates that the proposed method has great potential in crack detection of beam-type structures, as it is simple and does not require the mode shapes of an uncracked beam as a baseline.

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Design of shaped piezoelectric modal sensor for beam with arbitrary boundary conditions by using Adomian decomposition method

Cited by 18 publications

References 29 publications

Design of piezoelectric modal sensor for non-uniform Euler–Bernoulli beams with rectangular cross-section by using differential transformation method

Design of piezoelectric modal sensor for non-uniform Euler–Bernoulli beams with rectangular cross-section by using differential transformation method

An extended harmonic balance method based on incremental nonlinear control parameters

Vibration Analysis of Cracked Beams Using Adomian Decomposition Method and Non-Baseline Damage Detection via High-Pass Filters

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