Free vibration studies of arches

Krishnan, A.; Dharmaraj, S.; Suresh, Y.J.

doi:10.1006/jsvi.1995.0493

Cited by 30 publications

(15 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In particular, the 332 element seems to have, as seen above, a better performance with respect to the element proposed in [18] with its carefully selected trigonometric shape functions. Both the elements, 221 and 332, show a better performance with respect to the E1.1b introduced by Krishnan et al [19], where an additional degree of freedom, the nodal shear strain, is added to the conventional ones at each node. The Fourier p-elements THICK-2 and THICK-1 seem to have a better behavior when few degrees of freedom are employed, but seem to hardly get the convergence.…”

Section: Circular Geometry Casementioning

confidence: 92%

“…In the case of constant cross section, an analytical solution to compare with is available in the literature [21]. In the same framework the comparison is made with other approximated methods [18,19]. The proposed elements are then tested for a structure with variable curvature and cross section [5].…”

Section: The Detailed Expression Of the Two Elements Is Reported In Amentioning

confidence: 99%

“…The first test is the vibration of a circular arch in the case of constant or variable cross section [18][19][20]. In the case of constant cross section, an analytical solution to compare with is available in the literature [21].…”

Section: The Detailed Expression Of the Two Elements Is Reported In Amentioning

confidence: 99%

“…Constant cross section. The free vibrations of a circular arch with hinged ends are analyzed [18][19][20]. Two different values of the angle are examined: 90 and 40 • (see Figure 6).…”

Section: Circular Geometry Casementioning

confidence: 99%

See 3 more Smart Citations

A mixed stress model for linear elastodynamics of arbitrarily curved beams

Cannarozzi

Molari

2007

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYThis work presents a mixed stress finite element for linear elastodynamics of arbitrarily curved beams based on a modified Hellinger-Reissner functional. A rational approach to choose the stress approximation is proposed. In particular, the self-equilibrated stress is augmented by some stress modes obtained from the lower-order displacement approximation using the equilibrium equations, in such a way that the total number of stress modes is equal to the number of strain modes. The rationale is to preserve all the interactions among the stresses, proper of a curved structure without compromising the flexibility of the element. An arbitrarily curved geometry is described using a parametric Hermitian interpolation scheme tuned by minimizing the initial curvature of the arch. The effectiveness of the present approach is numerically demonstrated.

show abstract

Section: Circular Geometry Casementioning

confidence: 92%

Section: The Detailed Expression Of the Two Elements Is Reported In Amentioning

confidence: 99%

Section: The Detailed Expression Of the Two Elements Is Reported In Amentioning

confidence: 99%

“…Constant cross section. The free vibrations of a circular arch with hinged ends are analyzed [18][19][20]. Two different values of the angle are examined: 90 and 40 • (see Figure 6).…”

Section: Circular Geometry Casementioning

confidence: 99%

See 2 more Smart Citations

A mixed stress model for linear elastodynamics of arbitrarily curved beams

Cannarozzi

Molari

2007

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…Tong et al [10] investigated free and forced vibrations of circular curved beam for inextensional case. Krishnan et al [11] studied free vibrations for different boundary conditions and subtended angles. Extensional effects were included by considering tangential and normal loadings [12].…”

Section: Introductionmentioning

confidence: 99%

In-Plane Vibrations of Circular Curved Beams with a Transverse Open Crack

Öz

Das

2006

MCA

View full text Add to dashboard Cite

Abstract-In this study, the in plane vibrations of cracked circular curved beams is investigated. The beam is an Euler-Bernoulli beam. Only bending and extension effects are included. The curvature is in a single plane. In plane vibrations is analyzed using FEM. In the analysis, elongation, bending and rotary inertia effects are included. Four degrees of freedom for in-plane vibrations is assumed. Natural frequencies of the beam with a crack in different locations and depths are calculated using FEM. Comparisons are made for different angles.

show abstract

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

Kim

Yong-Kuk

2006

Int. J. Numer. Meth. Engng

View full text Add to dashboard Cite

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.

show abstract

Free vibration studies of arches

Cited by 30 publications

References 0 publications

A mixed stress model for linear elastodynamics of arbitrarily curved beams

A mixed stress model for linear elastodynamics of arbitrarily curved beams

In-Plane Vibrations of Circular Curved Beams with a Transverse Open Crack

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

Contact Info

Product

Resources

About