A numerical study of the nonlinear dynamics of multilayer spirally orthotropic cylinders

Romashchenko, V. A.

doi:10.1007/s11223-008-9086-z

Cited by 6 publications

(6 citation statements)

References 4 publications

(20 reference statements)

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“…This testifies to the high accuracy of the developed ASP and the numerical analytical method. In the case of axisymmetric loading when only the zero harmonic is taken into account, the results obtained using the proposed ASP coincide identically with those obtained using the ASP developed earlier for calculating the axisymmetric dynamics of multilayer spirally orthotropic cylinders [4].…”

Section: G Gsupporting

confidence: 78%

“…Here, starting from some definite instant of time, due to the numerator in (7), the lower limits of integration became variables. For l = = r 0 0, the dependence of P on j in (7) vanishes, and we have the axisymmetric case [4]. .…”

Section: G Gmentioning

confidence: 99%

“…The loading of the shell is performed using a spherical charge of TNT explosive displaced with respect to the center of its symmetry coinciding with the origin of the coordinates, and according to [4,8] the pressure on the inner surface of the cylinder has the form …”

Section: G Gmentioning

confidence: 99%

“…Each of the sets of equations is solved numerically with respect to expansion coefficients using the Wilkins algorithm [4,5,7] linearized for the case of small strains, rotations and displacements. The difference between the linearized algorithm and the traditional algorithm is in the following:…”

mentioning

confidence: 99%

“…where r i is the radius of the ith node, and r 12 and r 34 are the material densities in the upper (1, 2) and lower (3,4) meshes, respectively (Fig. 1a).…”

mentioning

confidence: 99%

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Numerical-analytical method for 3D dynamics study of spirally orthotropic multilayer cylinders

Romashchenko¹,

Beiner²,

Babich³

2011

Strength Mater

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Based on the combination of the Fourier series expansions of variables with respect to the angular coordinate and a two-dimensional Wilkins algorithm, a numerical analytical method is developed to study the three-dimensional non-axisymmetric dynamics of multilayer thick-walled elastic spirally orthotropic cylinders of finite length. Verification of the proposed method is performed based on the comparison of the results with those obtained using the computational kernel of the LS-DYNA combined with the ANSYS/ED (an educational version of ANSYS finite element software). Some features of the dynamic behavior of a two-layer spirally reinforced cylinder under internal pulse loading produced by concentrated explosive charges are studied numerically.

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Section: G Gsupporting

confidence: 78%

Section: G Gmentioning

confidence: 99%

Section: G Gmentioning

confidence: 99%

mentioning

confidence: 99%

“…where r i is the radius of the ith node, and r 12 and r 34 are the material densities in the upper (1, 2) and lower (3,4) meshes, respectively (Fig. 1a).…”

mentioning

confidence: 99%

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