Modal analysis of shear-induced flexural vibration of FGPM beam using Generalized Differential Quadrature method

Parashar, S. K. S.; Sharma, Pankaj

doi:10.1016/j.compstruct.2015.12.012

Cited by 44 publications

(8 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Nevertheless, in its initially proposed form, DQM produced ill-conditioned matrices for large systems from which the weighting coefficients are obtained. This drawback was overcome with the introduction of the generalized differential quadrature method (GDQM) by Shu and Richards, where the weighting coefficients are obtained from an explicit algebraic formula [19] and since then GDQM has been efficiently applied to the vibration analysis of structures [16,[20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of curved composite sandwich beams with viscoelastic core by using differential quadrature method

Demir

Balkan

Peker

et al. 2018

Jnl of Sandwich Structures & Materials

View full text Add to dashboard Cite

This paper focuses on the vibration analysis of three-layered curved sandwich beams with elastic face layers and viscoelastic core. First, the equations of motion that govern the free vibrations of the curved beams together with the boundary conditions are derived by using the principle of virtual work, in the most general form. Then, these equations are solved by using the generalized differential quadrature method in the frequency domain, for the first time to the best of the authors’ knowledge. Verification of the proposed beam model and the generalized differential quadrature solution is carried out via comparison with the results that already exist in literature and the ANSYS finite element solution combined with the modal strain energy method. The effect of system parameters, i.e. layer thicknesses, the lamination angle of layers and the curvature on the vibration and damping characteristics of a curved sandwich beam with laminated composite face layers and a frequency dependent viscoelastic core is investigated in detail.

show abstract

Section: Introductionmentioning

confidence: 99%

Vibration analysis of curved composite sandwich beams with viscoelastic core by using differential quadrature method

Demir

Balkan

Peker

et al. 2018

Jnl of Sandwich Structures & Materials

View full text Add to dashboard Cite

show abstract

“…A generalized DQ method was used by the same authors 50 to obtain the Eigen frequencies of the FGM annular plate with piezoelectric properties for different modes. Parashar and Sharma 51 obtained the Eigen frequencies of the FGM beam with piezoelectric properties under shear effect. It may be seen from literature 47–51 that modal characteristics of functionally graded piezoelectric material (FGPM) beam was presented where mechanical properties were graded smoothly along the thickness direction with power law and sigmoid law distribution.…”

Section: Introductionmentioning

confidence: 99%

“…Parashar and Sharma 51 obtained the Eigen frequencies of the FGM beam with piezoelectric properties under shear effect. It may be seen from literature 47–51 that modal characteristics of functionally graded piezoelectric material (FGPM) beam was presented where mechanical properties were graded smoothly along the thickness direction with power law and sigmoid law distribution. In most of the above papers 20–32,47–51 modal analysis of FGM/FGPM beams has been performed without considering the thermal effect.…”

Section: Introductionmentioning

confidence: 99%

“…It has been revealed from the literature 20–32,47–68 that the mechanical properties are varying smoothly along the thickness of the beam. To the author's best knowledge, modal analysis of FGM beam under hygrothermal effect where material properties are graded continuously along the length of the beam has not been reported in the literature before.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On modal analysis of axially functionally graded material beam under hygrothermal effect

Sharma

Singh

Hussain

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

Self Cite

View full text Add to dashboard Cite

This investigation focuses on the modal analysis of an axially functionally graded material beam under hygrothermal effect. The material constants of the beam are supposed to be graded smoothly along the axial direction under both power law and sigmoid law distribution. A finite element analysis with COMSOL Multiphysics® (version 5.2) package is used to find the Eigen frequencies of the beam. The accuracy of the technique is authenticated by relating the results with the prior investigation for reduced case. The effects of moisture changes, temperature, and volume fraction index, length-to-thickness ratio on the Eigen frequencies are investigated in detail. It is believed that the present investigation may be useful in the design of highly efficient environmental sensors for structural health monitoring perspective.

show abstract

“…These FGPM are generally made of a mixture of two piezoelectric materials. Several authors studied FGPM beams or plates under thermo-electro-mechanical loads: static analysis have been performed in [4][5][6][7] and modal analysis in [8][9][10][11][12]. The geometrically non linear transient thermo-elastic response of FGM beam integrated with a pair of FGPM sensors has been investigated in [13].…”

Section: Introductionmentioning

confidence: 99%

A numerical efficiency study on the active vibration control for a FGPM beam

Maruani

Bruant

Pablo

et al. 2017

Composite Structures

View full text Add to dashboard Cite

Modal analysis of shear-induced flexural vibration of FGPM beam using Generalized Differential Quadrature method

Cited by 44 publications

References 25 publications

Vibration analysis of curved composite sandwich beams with viscoelastic core by using differential quadrature method

Vibration analysis of curved composite sandwich beams with viscoelastic core by using differential quadrature method

On modal analysis of axially functionally graded material beam under hygrothermal effect

A numerical efficiency study on the active vibration control for a FGPM beam

Contact Info

Product

Resources

About