Bending, buckling and free vibration of laminated composite and sandwich beams: A critical review of literature

A review on optimization of composite structures Part I: Laminated composites

Vibrations of straight and curved composite beams: A review

A review of biolubricants in drilling fluids: recent research, performance, and applications

The theoretical results relevant to the vibration modes of Timoshenko beams are here used as benchmarks for assessing the correctness of the numerical values provided by several finite element models, based on either the traditional Lagrangian interpolation or on the recently developed isogeometric approach. Comparison of results is performed on both spectrum error (in terms of the detected natural frequencies) and on the l2 relative error (in terms of the computed eigenmodes): this double check allows detecting for each finite element model, and for a discretization based on the same number of degrees-of-freedom, N, the frequency threshold above which some prescribed accuracy level is lost, and results become more and more unreliable. Hence a quantitative way of measuring the finite element performance in modeling a Timoshenko beam is proposed. The use of Fast Fourier Transform is finally employed, for a selected set of vibration modes, to explain the reasons of the accuracy decay, mostly linked to a poor separation of the natural frequencies in the spectrum, which is responsible of some aliasing of modes.

An analytical assessment of finite element and isogeometric analyses of the whole spectrum of Timoshenko beams

A rigorous first order shear deformation theory is employed along with modified ABD parameters to analyze static and free vibration behavior of generally laminated deep curved beams. The deepness term (1 + z/R) is exactly integrated into ABD parameters formulation and equivalent modulus of elasticity is used instead of traditional stiffness terms to account for deepness and material coupling of the beam structures, respectively. Static as well as free vibration analyses were performed and the results for deflection, moment resultants, and natural frequencies were obtained. The exact solution for simply supported boundary condition as well as numerical solutions using GDQ for other boundary conditions are presented. Results are compared with those obtained using accurate three dimensional finite element simulations using commercial software. It has been shown that when considering more accurate stiffness parameter, FSDT can accurately predict static and free vibration behaviors of composite deep beams of any lamination and boundary condition.

Static and vibration analyses of thick, generally laminated deep curved beams with different boundary conditions

Advances in critical buckling load assessment for tubulars inside wellbores

Vibration characteristics of generally laminated composite curved beams with single through-the-width delamination

A first order shear deformation model for static and vibration analysis of composite thick beams and shafts is proposed and verified. The model is based on an earlier one proven to be accurate only for cross-ply laminates. The proposed model uses equivalent stiffness parameters that enable it to be accurate for every laminate. A three dimensional (3D) finite element model (FEM) is used to verify the proposed beam model. The results for different approaches for stiffness calculation were compared to the proposed model and those obtained by FEM in order to verify their accuracy. In addition, the model was applied to tubular cross section beams and the results were compared with experimental data and other models existing in the literature. The results of the proposed model were close to the 3D FEM as well as experimental results.

Mehdi Hajianmaleki

Papers

Vibrations of straight and curved composite beams: A review

Static and vibration analyses of thick, generally laminated deep curved beams with different boundary conditions

Advances in critical buckling load assessment for tubulars inside wellbores

Vibration characteristics of generally laminated composite curved beams with single through-the-width delamination

A rigorous beam model for static and vibration analysis of generally laminated composite thick beams and shafts