The closed form general solutions of 2-D curved laminated beams of variable curvatures

Lin, Kwang‐Lung; Hsieh, Cheng‐Hsiung

doi:10.1016/j.compstruct.2006.02.027

Cited by 56 publications

(32 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Table 3 illustrates all displacements of this structure versus the slenderness ratio. The answers are compared with the obtained results, for the composite curved beams Lin and Hsieh (2007). By assuming the equal transverse and longitudinal modulus, the anisotropic material reduces to an isotropic one, and in this case, the answers are comparable.…”

Section: A Two-end Hinged Beammentioning

confidence: 63%

“…Table 4 demonstrates the results of proposed method, along with the one obtained by Lin and Hsieh (2007). …”

Section: Latin American Journal Of Solids and Structures 13 (2016) 17mentioning

confidence: 99%

“…In fact, these solution techniques have only considered a few particular cases that were more reachable. These investigators calculated the stiffness matrix by considering the effect of special boundary conditions Gutierrez et al (1989) Lin and Huang (2007) Lin and Hsieh (2007) Lee and Wilson (1989) Lee et al (2008) Tarnopolskaya et al (1996). Haung et al (1998) utilized polynomial functions and power series to model the behavior of beams with variable curvatures and cross sections.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Explicit Stiffness Matrix for Parabolic Beam Element

Rezaiee‐Pajand

Rajabzadeh-Safaei

2016

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

This study is devoted to strain-based formulation for a curved beam. Arches with parabolic geometry, which have a variety of applications, belong to this structural type. Dependency of the curvature radius to the arch length creates some complexities in the solution process. To analyze these complex structures, a twonode beam with six degrees of freedom is suggested by utilizing closed-form solution and the stiffness-based finite element method. Considering the effect of shear deformation, and incorporating equilibrium conditions into the finite element model, lead to the exact strains. Displacements and explicit stiffness matrix are found based on these exact strains. To validate the efficiency of the author's formulation, seven numerical tests are performed. The outcomes demonstrate that by employing only a single element, the locking-free answers can be found. KeywordsFinite element method, parabolic beam, explicit stiffness matrix, strain-based formulation, equilibrium conditions.

show abstract

Section: A Two-end Hinged Beammentioning

confidence: 63%

“…Table 4 demonstrates the results of proposed method, along with the one obtained by Lin and Hsieh (2007). …”

Section: Latin American Journal Of Solids and Structures 13 (2016) 17mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An Explicit Stiffness Matrix for Parabolic Beam Element

Rezaiee‐Pajand

Rajabzadeh-Safaei

2016

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

show abstract

“…The present IGA results are compared with the analytical solution obtained by Lin and Hsieh (2007) in Table 4 for quarter-elliptic curved beams with various aspect ratios (a/b). A good agreement between these two solutions can be observed.…”

Section: Bending Analysismentioning

confidence: 95%

“…The exact natural frequencies were determined for various end conditions using the state space concept. The closed-form solutions to static problems of laminated composite curved beams with variable curvature were derived by Lin and Hsieh (2007). Recently, Hajianmaleki and Qatu (2012) developed a modified first order shear deformation theory accounting for deepness, laminate coupling, shear deformation, and rotary inertia for static and free vibration analyses of composite curved beams.…”

Section: Introductionmentioning

confidence: 99%