A linear thick curved beam element

Babu, C Ramesh; Prathap, Gangan

doi:10.1002/nme.1620230709

Cited by 85 publications

(24 citation statements)

References 12 publications

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“…Also, the effect of the parameter varies with the nature of problems. Another noteworthy approach is based on the use of a field-consistency paradigm [8][9][10]. The spurious constraints which are produced in the physical limits and thus lead to locking and violent disturbances in stress prediction, are eliminated through field-consistent shear and membrane strain redistribution analogous to the reduced integration rule.…”

Section: Introductionmentioning

confidence: 99%

Hybrid-mixed curved beam elements with increased degrees of freedom for static and vibration analyses

Kim

Yong-Kuk

2006

Int. J. Numer. Meth. Engng

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SUMMARYIn this paper, hybrid-mixed elements for static and vibration analyses of curved beams are presented. The proposed elements based on the Hellinger-Reissner variational principle employ the consistent stress parameters corresponding to the displacement fields with additional internal nodeless degrees of freedom in order to enhance the numerical performance. Elimination of the stress parameters by the stationary condition and condensation of internal nodeless degrees of freedom by Guyan reduction are carried out in the element formulation. This study shows how much the order of internal nodeless displacement functions and the type of mass matrix affect the numerical performance of hybrid-mixed curved beam elements in static and dynamic analyses. Various numerical examples confirm that the proposed elements with increased internal nodeless degrees of freedom generate superior accuracy in the prediction of bending behaviours and high vibration modes.

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Section: Introductionmentioning

confidence: 99%

Hybrid-mixed curved beam elements with increased degrees of freedom for static and vibration analyses

Kim

Yong-Kuk

2006

Int. J. Numer. Meth. Engng

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“…The application of reduced integration of shear and membrane energy producing spurious modes of deformations in thin limits [17,18]. The truncation of the so-called ÿeld-inconsistent strains resulting in low convergence rate [19]. The application of mixed polynomial-trigonometric displacement ÿeld restricting its general applicability to non-circular curved beams [20,21].…”

Section: Background and Motivationmentioning

confidence: 99%

c‐Type method of unified CAMG and FEA. Part 1: Beam and arch mega‐elements—3D linear and 2D non‐linear

Ray¹

2003

Numerical Meth Engineering

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SUMMARYComputer-aided mesh generation (CAMG) dictated solely by the minimal key set of requirements of geometry, material, loading and support condition can produce 'mega-sized', arbitrary-shaped distorted elements. However, this may result in substantial cost saving and reduced bookkeeping for the subsequent ÿnite element analysis (FEA) and reduced engineering manpower requirement for ÿnal quality assurance. A method, denoted as c-type, has been proposed by constructively deÿning a ÿnite element space whereby the above hurdles may be overcome with a minimal number of hyper-sized elements. Bezier (and de Boor) control vectors are used as the generalized displacements and the Bernstein polynomials (and B-splines) as the elemental basis functions. A concomitant idea of coerced parametry and inter-element continuity on demand uniÿes modelling and ÿnite element method. The c-type method may introduce additional control, namely, an inter-element continuity condition to the existing h-type and p-type methods. Adaptation of the c-type method to existing commercial and general-purpose computer programs based on a conventional displacement-based ÿnite element method is straightforward. The c-type method with associated subdivision technique can be easily made into a hierarchic adaptive computer method with a suitable a posteriori error analysis. In this context, a summary of a geometrically exact non-linear formulation for the two-dimensional curved beams=arches is presented. Several beam problems ranging from truly three-dimensional tortuous linear curved beams to geometrically extremely non-linear two-dimensional arches are solved to establish numerical e ciency of the method. Incremental Lagrangian curvilinear formulation may be extended to overcome rotational singularity in 3D geometric non-linearity and to treat general material non-linearity.

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“…They examined the role of the nodeless degrees of freedom and the effect of the field consistency. Prathap and Babu [9] and Babu and Prathap [10] derived a three-noded curved beam element based on the independent isoparametric interpolation and field-consistency approach which identifies the spurious constraints of the inconsistent strain field and drops them in advance. This field consistency approach ensured a variationally correct and orthogonally consistent strain field.…”

Section: Introductionmentioning

confidence: 99%

Improved Thin-Walled Finite Curved Beam Elements

Kim

Jeon

2013

Advances in Mechanical Engineering

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The two-and three-noded spatially coupled thin-walled finite curved beam elements are presented on the basis of assumed strain fields. These elements consider the extensional/inextensional conditions along the centroid axis of curved beam. For curved beams with the extensional condition, the two-noded element is formulated from constant strain and linear curvature fields. And the strain is assumed as linear filed and curvatures are assumed to be third-order ones for the three-noded element. In addition the normal stress at an arbitrary point of symmetric and non-symmetric cross-sections is explicitly evaluated since strain and curvature functions are assumed independently. In order to illustrate the accuracy and the practical usefulness of the present assumed strain curved beam elements, the displacements and the normal stresses of curved beams are evaluated and compared with the previously published results and the solutions by the shell elements from SAP 2000. The emphasis is given in investigating the influence of inextensibility along the beam axis on the coupled behavior of curved beam with respect to the values of boundary condition, subtended angle, and slenderness ratio.

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A linear thick curved beam element

Cited by 85 publications

References 12 publications

Hybrid-mixed curved beam elements with increased degrees of freedom for static and vibration analyses

Hybrid-mixed curved beam elements with increased degrees of freedom for static and vibration analyses

c‐Type method of unified CAMG and FEA. Part 1: Beam and arch mega‐elements—3D linear and 2D non‐linear

Improved Thin-Walled Finite Curved Beam Elements

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