Assessment of beam modeling methods for rotor blade applications

Volovoi, Vitali; Hodges, Dewey H.; Cesnik, Carlos E. S.; Popescu, Bogdan

doi:10.1016/s0895-7177(00)00302-2

Cited by 125 publications

(70 citation statements)

References 16 publications

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“…In this context it should be mentioned that Hodges and co-workers (e.g., Volovoi et al [12], Volovoi and Hodges [13], Volovoi et al [14], Volovoi and Hodges [15], Ye et al [16]) further applied the concept introduced by the variational asymptotic method to two dimensional cross-sectional problem and derived closed-form expressions for the crosssectional stiffness coefficients of thin-walled beams. As the resulting theory [12][13][14][15][16] evolved through rigorous mathematical treatments, it involves some additional terms including those for in-plane warping of the section, which is found to be important in some specific situations.…”

Section: Introductionmentioning

confidence: 99%

“…As the resulting theory [12][13][14][15][16] evolved through rigorous mathematical treatments, it involves some additional terms including those for in-plane warping of the section, which is found to be important in some specific situations. Thus, the generality of the modelling has been enhanced in the asymptotic approach, but at the same time the mathematical formulation is very complex.…”

Section: Introductionmentioning

confidence: 99%

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An efficient beam element for the analysis of laminated composite beams of thin-walled open and closed cross sections

Sheikh

Thomsen

2008

Composites Science and Technology

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An efficient beam element for the analysis of laminated composite beams of thin-walled open and closed cross sections

Sheikh

Thomsen

2008

Composites Science and Technology

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“…Inserting the above terms (108) and accelerations (8) into energy variation time integral (32) and rearranging all the terms according to variations of respective basic unknowns of the problem and skipping higher order terms resulting from cosine approximation, yields …”

Section: Appendixmentioning

confidence: 99%

“…In 1994 Kunz [17] and later Volovoi et al [32] made an extended assessment of rotating beam modelling methods with special regard to helicopter rotor blades.…”

Section: Introductionmentioning

confidence: 99%

Equations of motion of rotating composite beam with a nonconstant rotation speed and an arbitrary preset angle

2014

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In the presented paper the equations of motion of a rotating composite Timoshenko beam are derived by utilising the Hamilton principle. The nonclassical effects like material anisotropy, transverse shear and both primary and secondary cross-section warpings are taken into account in the analysis. As an extension of the other papers known to the authors a nonconstant rotating speed and an arbitrary beam's preset (pitch) angle are considered. It is shown that the resulting general equations of motion are coupled together and form a nonlinear system of PDEs. Two cases of an open and closed box-beam cross-section made of symmetric laminate are analysed in details. It is shown that considering different pitch angles there is a strong effect in coupling of flapwise bending with chordwise bending motions due to a centrifugal force. Moreover, a consequence of terms related to nonconstant rotating speed is presented. Therefore it is shown that both the variable rotating speed and nonzero pitch angle have significant impact on systems dynamics and need to be considered in modelling of rotating beams.

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“…BECAS is a finite element based tool which is able to account for the effects of material anisotropy and inhomogeneity in the analysis of the stiffness and mass properties of beam sections of arbitrary geometry. The reader is referred to Jung et al [15], Volovoi et al [16], and the comprehensive work by Hodges [17] for a review on different beam modelling techniques.…”

Section: Introductionmentioning

confidence: 99%

Multi-material topology optimization of laminated composite beams with eigenfrequency constraints

Blasques

2014

Composite Structures

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Link back to DTU Orbit Citation (APA):Blasques, J. P. A. A. (2014). Multi-material topology optimization of laminated composite beams with eigenfrequency constraints. Composite Structures, 111, 45-55. DOI: 10.1016/j.compstruct.2013 Multi-material topology optimization of laminated composite beams with eigenfrequency constraints AbstractThis paper describes a methodology for simultaneous topology and material optimization in optimal design of laminated composite beams with eigenfrequency constraints. The structural response is analyzed using beam finite elements. The beam sectional properties are evaluated using a finite element based cross section analysis tool which is able to account for effects stemming from material anisotropy and inhomogeneity in sections of arbitrary geometry. The optimization is performed within a multi-material topology optimization framework where the continuous design variables represent the volume fractions of different candidate materials at each point in the cross section. An approach based on the Kreisselmeier-Steinhauser function is proposed to deal with the non-differentiability issues typically encountered when dealing with eigenfrequency constraints. The framework is applied to the optimal design of a laminated composite cantilever beam with constant cross section. Solutions are presented for problems dealing with the maximization of the minimum eigenfrequency and maximization of the gap between consecutive eigenfrequencies with constraints on the weight and shear center position. The results suggest that the devised methodology is suitable for simultaneous optimization of the cross section topology and material properties in design of beams with eigenfrequency constraints.

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Assessment of beam modeling methods for rotor blade applications

Cited by 125 publications

References 16 publications

An efficient beam element for the analysis of laminated composite beams of thin-walled open and closed cross sections

An efficient beam element for the analysis of laminated composite beams of thin-walled open and closed cross sections

Equations of motion of rotating composite beam with a nonconstant rotation speed and an arbitrary preset angle

Multi-material topology optimization of laminated composite beams with eigenfrequency constraints

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