Dynamic analysis of linear viscoelastic cylindrical and conical helicoidal rods using the mixed FEM

Eratlı, Nihal; Argeso, Hakan; Çalım, Faruk Fırat; Temel, Beytullah; Omurtag, Mehmet H.

doi:10.1016/j.jsv.2014.03.017

Cited by 28 publications

(14 citation statements)

References 22 publications

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“…The field equations are based on Timoshenko beam theory, and for the dynamic analysis, they are given in Laplace space as follows (Eratlı et al, 2014) Equations of motion…”

Section: Field Equations and Functional In Laplace Spacementioning

confidence: 99%

“…Temel (2004) and Temel et al (2004) investigated quasi-static and dynamic analysis of viscoelastic helical rods subjected to time-dependent loads in the Laplace domain using the complementary functions method and the ordinary differential equations based on the Timoshenko beam theory. The dynamic behavior of viscoelastic helixes with noncircular cross sections based on the Timoshenko beam theory with the inclusion of the rotary inertia using the mixed finite element method is first investigated by Eratlı et al (2014). The mixed finite element analysis based on the approximated curvature of the conical and hyperboloidal helices with hollow elliptical cross section is performed by Eratlı and Kutlu (2015).…”

Section: Introductionmentioning

confidence: 99%

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Parametric analysis of viscoelastic hyperboloidal helical rod

Ermis

Eratlı

Argeso

et al. 2016

Advances in Structural Engineering

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The objective of this study is to perform a pioneering research about a viscoelastic hyperboloidal helical rod having a standard type of distortional behavior and a Kelvin type of bulk compressibility. Field equations are based on the Timoshenko beam theory, and the exact curvatures of the hyperboloidal geometry are considered through the formulation. The numerical analysis is carried out by the mixed finite element method, considering the rotary inertia, in the Laplace space, and the results are transformed back to time space numerically using the modified Durbin's algorithm. A cantilevered hyperboloidal helical rod having solid circular, hollow circular, and thin-walled hollow circular cross sections is handled, and the rod is loaded by rectangular and triangular impulsive types of point load at the tip. Through the analysis, different values of retardation time, three different relaxation functions associated with shear modulus, and three different creep functions associated with bulk modulus are handled. Finally, a benchmark example is presented, and the influence of the loading and the material parameters on the helix geometry is discussed.

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“…The field equations are based on Timoshenko beam theory, and for the dynamic analysis, they are given in Laplace space as follows (Eratlı et al, 2014) Equations of motion…”

Section: Field Equations and Functional In Laplace Spacementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Parametric analysis of viscoelastic hyperboloidal helical rod

Ermis

Eratlı

Argeso

et al. 2016

Advances in Structural Engineering

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show abstract

“…In the analyses, we select Helicoidal rods are discretized by using 40 elements and the solutions of system matrices of the finite element method are carried out in Laplace space. The results are transformed back to time space by making use of modified Durbin's algorithm [12]. u is significant.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…The viscoelastic behaviors of straight and circular bars were examined extensively [3][4][5][6][7][8][9], however, few studies exist in literature that investigates the viscoelastic behavior of helicoidal bars [10][11][12][13]. Within these studies the works that takes helicoidal bars having noncircular cross section into account are even more rare.…”

Section: Introductionmentioning

confidence: 99%

“…For this aim, a mixed finite element formulation based on Timoshenko beam theory is used, and, element matrices for two nodded curvilinear space rod element are obtained in Laplace space. The new viscoelastic material properties are inserted into the finite element algorithm verified by [12]. It is assumed that, the material exhibits standard type of distortional behavior and Kelvin type of bulk compressibility.…”

Section: Introductionmentioning

confidence: 99%

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