Large displacement analysis of three‐dimensional beam structures

Bathe, Klaus‐Jürgen; Bolourchi, Saïd

doi:10.1002/nme.1620140703

Cited by 589 publications

(302 citation statements)

References 12 publications

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“…This example illustrates a truly three-dimensional response and was initially presented by Bathe and Bolourchi [15]. It comprises a 45 • bend cantilever with a radius of 100 m as shown in Figure 3.…”

Section: Pre-bend Cantilevermentioning

confidence: 93%

Timoshenko Beam Element With Anisotropic Cross-Sectional Properties

Stäblein¹,

Hansen²

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. Beam models are used for the aeroelastic time and frequency domain analysis of wind turbines due to their computational efficiency. Many current aeroelastic tools for the analysis of wind turbines rely on Timoshenko beam elements with classical crosssectional properties (EA, EI, etc.). Those cross-sectional properties do not reflect the various couplings arising from the anisotropic behaviour of the blade material. A twonoded, three-dimensional Timoshenko beam element was therefore extended to allow for

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Section: Pre-bend Cantilevermentioning

confidence: 93%

Timoshenko Beam Element With Anisotropic Cross-Sectional Properties

Stäblein¹,

Hansen²

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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“…In this paper the aeroelastic modal properties and stability limits of the DTU 10 MW Reference Wind Turbine (RWT) (Bak et al, 2013) with bend-twist coupled blades are investigated. Coupling is introduced in the cross-section stiffness matrix by means of a coupling coefficient as proposed by Lobitz and Veers (1998).…”

Section: A R Stäblein Et Al: Modal Properties and Stability Of Benmentioning

confidence: 99%

“…The effects of bend-twist coupling on the modal properties and stability of wind turbine blades were investigated with the DTU 10 MW RWT developed by Bak et al (2013). It is a horizontal-axis, variable-pitch, variable-speed wind turbine with a rotor diameter of 178 m and a hub height of 119 m. The structural properties of the blades in terms of 6×6 cross-section stiffness matrices were obtained with BECAS (Blasques, 2011) and the input data provided on the DTU 10 MW RWT project homepage 1 .…”

Section: Bend-twist Coupled Dtu 10 Mw Bladementioning

confidence: 99%

“…The eigenvalue analysis shows that the reference blade becomes unstable at a tip speed of about 180 m s −1 . Bak et al (2013) report an edgewise instability at approximately 22 rpm or 205 m s −1 at the tip using nonlinear time domain analysis. The edge-twist to feather coupled blade has a slightly lower frequency and a lower damping than the reference blade.…”

Section: Runaway Analysismentioning

confidence: 99%

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Modal properties and stability of bend–twist coupled wind turbine blades

2017

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Abstract.Coupling between bending and twist has a significant influence on the aeroelastic response of wind turbine blades. The coupling can arise from the blade geometry (e.g. sweep, prebending, or deflection under load) or from the anisotropic properties of the blade material. Bend-twist coupling can be utilized to reduce the fatigue loads of wind turbine blades. In this study the effects of material-based coupling on the aeroelastic modal properties and stability limits of the DTU 10 MW Reference Wind Turbine are investigated. The modal properties are determined by means of eigenvalue analysis around a steady-state equilibrium using the aero-servo-elastic tool HAWCStab2 which has been extended by a beam element that allows for fully coupled cross-sectional properties. Bend-twist coupling is introduced in the cross-sectional stiffness matrix by means of coupling coefficients that introduce twist for flapwise (flap-twist coupling) or edgewise (edge-twist coupling) bending. Edge-twist coupling can increase or decrease the damping of the edgewise mode relative to the reference blade, depending on the operational condition of the turbine. Edge-twist to feather coupling for edgewise deflection towards the leading edge reduces the inflow speed at which the blade becomes unstable. Flap-twist to feather coupling for flapwise deflections towards the suction side increase the frequency and reduce damping of the flapwise mode. Flap-twist to stall reduces frequency and increases damping. The reduction of blade root flapwise and tower bottom fore-aft moments due to variations in mean wind speed of a flap-twist to feather blade are confirmed by frequency response functions.

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“…1. The main beam is used to simulate the elastic beam column [1]. For the support system in the full bridge model, the support restoring force is simulated by the model shown in Fig.…”

Section: The Establishment Of Finite Element Modelmentioning

confidence: 99%

Elastic-plastic time-history analysis of bridge seismic based on Opensees and IDA

Luo¹

2017

Proceedings of the Second International Conference on Mechanics, Materials and Structural Engineering (ICMMSE 2017)

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Abstract. This paper uses the method of incremental dynamic analysis (IDA), by reading the control section concrete piers and steel strain calculation termination conditions, according to the existing specification design of high speed railway bridge, with the Beijing-shanghai high-speed railway and a large span 40 m + 64 m + 40 m continuous girder bridge as the research object, under severe earthquake, and on the elastic-plastic seismic response of nonlinear computation. The example analysis results can provide reference for seismic design of similar Bridges.

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Large displacement analysis of three‐dimensional beam structures

Cited by 589 publications

References 12 publications

Timoshenko Beam Element With Anisotropic Cross-Sectional Properties

Timoshenko Beam Element With Anisotropic Cross-Sectional Properties

Modal properties and stability of bend–twist coupled wind turbine blades

Elastic-plastic time-history analysis of bridge seismic based on Opensees and IDA

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