Vibration analysis of orthotropic rectangular plates using superelements

Ahmadian, M.T.; Zangeneh, Milad

doi:10.1016/s0045-7825(01)00370-x

Cited by 19 publications

(5 citation statements)

References 8 publications

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“…Some research studies have obtained orthotropic constants by computing the vibration response using the finite element (FE) method or semianalytical methods. [ 23–26 ] However, the knowledge of the dynamic response of Ti–6Al–4V provides directional and tension–compression asymmetrical elastic properties, as reported here and in previous studies. [ 13–16 ]…”

Section: Introductionsupporting

confidence: 62%

“…Some research studies have obtained orthotropic constants by computing the vibration response using the finite element (FE) method or semianalytical methods. [23][24][25][26] However, the knowledge of the dynamic response of Ti-6Al-4V provides directional and tension-compression asymmetrical elastic properties, as reported here and in previous studies. [13][14][15][16] The rise of new technologies and manufacturing of highly critical components has brought a growing interest for nondestructive nanomechanical characterization procedures.…”

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confidence: 64%

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Nanomechanical Characterization of the Deformation Response of Orthotropic Ti–6Al–4V

et al. 2021

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The research interest in titanium alloys lies in the fact that their exceptional mechanical properties make them ideal for specific industrial applications, such as biomedical, aerospace, and military industries. [1][2][3] Despite its high cost, Ti-6Al-4V alloy is currently the most widely used titanium alloy, [4] combining good biocompatibility and corrosion resistance, [5][6][7][8][9][10] high strength, low weight, and ductility. [11][12][13][14][15][16] Several manufacturing processes among the aforementioned applications contemplate the implementation of material characterization procedures, either on pristine samples of the material or on previously manufactured parts. The most commonly applied experimental procedures to identify the macroscopic orthotropic elastoplastic properties of a material include monotonic tensile, [17,18] compression, [19,20] and shear [21,22] tests of material samples obtained from its orthogonal directions. The main limitations of these tests are the size of the specimens and their subsequent destruction,

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Section: Introductionsupporting

confidence: 62%

supporting

confidence: 64%

Nanomechanical Characterization of the Deformation Response of Orthotropic Ti–6Al–4V

et al. 2021

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“…where m denotes the mass of the plate per unit of surface, D 1 , D 2 and D 12 are the bending stiffness factors, D 66 is the torsional stiffness which depends upon the transverse Young's moduli E 1 and E 2 , the shear-modulus G 12 and the major and minor Poisson ratios m 12 and m 21 as explained for example, in [5,7,12]:…”

Section: Vibro-acoustic Response Of a Specially Orthotropic Panelmentioning

confidence: 99%

“…In the same vein, Mukhopadhyay [3] proposed a different finite difference method to solve the vibration problem of an orthotropic plate. More recently, the finite element method was used to compute the dynamic response of orthotropic plates in [4,5]. A semi-analytical method was proposed by Dalaei and Kerr [6] in 1996 to compute the free vibrations of an orthotropic plate: the authors used an expansion of the solution in harmonics, recasting their approach in a Galerkinlike approach.…”

Section: Introductionmentioning

confidence: 99%

Estimation of plate elastic moduli through vibration testing

Caillet¹,

Carmona²,

Mazzoni³

2007

Applied Acoustics

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“…Among which, thin orthotropic plate is the typical structure used in such transport production, and the bending vibration behavior of this class structure is the key factor to influence NVH performance of product. Thus, the response of orthotropic plate has been talked about by analytical or semi-analytical methods [1][2][3][4]. With the requirement of lowering the cost of time and computation, the CAE techniques based on numerical method is indispensable for engineers to predict the deterministic bending vibration response of such composite structure, especially in design and optimization process.…”

Section: Introductionmentioning

confidence: 99%

Bending vibration prediction of orthotropic plate with wave-based method

Xia¹,

Xu²,

Zhang³

et al. 2017

J. vibroeng.

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A novel numerical predictive approach for steady-state response of thin orthotropic plate is presented based on wave-based method (WBM) that is applied in bending vibration prediction of thin and thick plate in mid-frequency range. The wavenumber parameters for orthotropic material and the particular solution of an infinite orthotropic plate with Fourier transform are derived. The proposed method is validated by numerical examples with simply supported boundary and clamped boundary. The compared result shows that the computational accuracy and efficiency of WBM is significantly higher than element based method, which is the ability of WBM for mid-frequency problems. The predictive ability of WBM is extended to process the dynamic response of orthotropic plate.

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Vibration analysis of orthotropic rectangular plates using superelements

Cited by 19 publications

References 8 publications

Nanomechanical Characterization of the Deformation Response of Orthotropic Ti–6Al–4V

Nanomechanical Characterization of the Deformation Response of Orthotropic Ti–6Al–4V

Estimation of plate elastic moduli through vibration testing

Bending vibration prediction of orthotropic plate with wave-based method

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