Geometrically nonlinear transient analysis of thick deep composite curved beams with generalized differential quadrature method

Kurtaran, Hasan

doi:10.1016/j.compstruct.2015.03.060

Cited by 30 publications

(7 citation statements)

References 62 publications

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“…Furthermore, these characteristics have been emphasized mostly by the use of composite materials, such as laminated composites, in order to obtain the best engineering properties with respect to conventional materials. Several applications in literature [64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80] have demonstrated the advantages that can be obtained in many dynamic problems, based especially on the free vibration analysis of beams, plates and shells. However, the heterogeneity of the material properties that characterizes the laminate and the shear stresses between the laminae can cause the phenomenon of the delamination.…”

Section: Introductionmentioning

confidence: 99%

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Tornabene

Fantuzzi

Bacciocchi

et al. 2015

Composites Part B: Engineering

113

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Section: Introductionmentioning

confidence: 99%

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Tornabene

Fantuzzi

Bacciocchi

et al. 2015

Composites Part B: Engineering

113

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“…e analysis of the free vibration of this type of structure can ultimately be attributed to the problem of solving differential equations. In addition to various beam theories mentioned above, various analysis methods are used to solve the dynamic characteristics of composite material laminated beams under coupling fields; such methods include the FEM [36][37][38][39][40] and DQM [41][42][43], modal superposition method [44,45], transfer matrix method [46][47][48], Galerkin method [49], Ritz method [50], and pseudo-arclength continuation method [51]. However, the modal superposition method has the problem of a large amount of calculation and low accuracy, the transfer matrix method also has the problem of insufficient high-order frequency accuracy, and the differential quadrature method is not convenient when calculating general boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

A Unified Analysis for the Free Vibration of the Sandwich Piezoelectric Laminated Beam with General Boundary Conditions under the Thermal Environment

Gao

Sun

Shao

et al. 2021

Shock and Vibration

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This article mainly analyzes the free vibration characteristic of the sandwich piezoelectric beam under elastic boundary conditions and thermal environment. According to the first-order shear deformation theory and Hamilton’s principle, the thermo-electro-elastic coupling equations of the sandwich piezoelectric beam are obtained. Meanwhile, elastic boundary conditions composed of an array of springs are introduced, and the displacement variables and external potential energy of the beam are expressed as wave functions. By using the method of reverberation-ray matrix to integrate and solve the governing equations, a search algorithm based on golden-section search is introduced to calculate the required frequency parameters. A series of numerical results are compared with those reported in literature studies and obtained by simulation software to verify the correctness and versatility of the search algorithm. In addition, three parametric research cases are proposed to investigate the frequency parameters of sandwich piezoelectric beams with elastic restraint conditions, material parameters, thickness ratio, different temperature rises, and external electric potential.

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“…Curved beams have been widely applied in many engineering disciplines such as civil, mechanical, and aerospace [1]. For instance, robotic arms, coil laminated springs, and reinforced stiffeners in aircraft structures are generally designed as curved beams.…”

Section: Introductionmentioning

confidence: 99%

Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures

Wan

Liu

2019

Advances in Materials Science and Engineering

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In this paper, geometrically nonlinear analysis of functionally graded curved beams with variable curvatures based on Timoshenko beam theory is presented. Considering the axial extension and the transversal shear deformation, geometrically nonlinear governing equations for the FGM curved beams with variable curvatures subjected to thermal and mechanical loads are formulated. Material properties of the curved beams are assumed to vary arbitrarily in the thickness direction and be independent on the temperature change. By using the numerical shooting method to solve the coupled ordinary differential equations, the nonlinear response of static thermal bending of a FGM semielliptic beams subjected to transversely nonuniform temperature rise is obtained numerically. e effects of material gradient, shear deformation, and temperature rise on the response of the curved beam are discussed in detail. Nonlinear bending of a closed FGM elliptic structure subjected to two pinching concentrated loads is also analyzed. is paper presents some equilibrium paths and configurations of the elliptic curved beam for different pinching concentrated loads.

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Geometrically nonlinear transient analysis of thick deep composite curved beams with generalized differential quadrature method

Cited by 30 publications

References 62 publications

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

A Unified Analysis for the Free Vibration of the Sandwich Piezoelectric Laminated Beam with General Boundary Conditions under the Thermal Environment

Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures

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