Warping displacement of Timoshenko beam model

Freund, Jouni; Karakoҫ, Alp

doi:10.1016/j.ijsolstr.2016.05.002

Cited by 18 publications

(2 citation statements)

References 24 publications

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“…In the present case of slender cross sections, however, warping is substantial. To remedy this issue, the effect of warping was modeled by reducing torsional and shearing stiffnesses by factors k t and k s , respectively, with corresponding values computed as proposed by Freund & Karakoҫ (2016).…”

Section: Numerical Setupmentioning

confidence: 99%

A first simulation of a model aquatic canopy at high Cauchy number

Löhrer¹,

Doppler²,

Puijalon³

et al. 2020

River Flow 2020

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Canopies formed by flexible aquatic plants constitute an important element in river hydraulics as they determine resistance, resilience towards erosion, transport of nutrients and pollutants, and provide the habitat of other species. Due to their flexibility they undergo reconfiguration and closely interact with the surrounding flow. This fluid-structure-coupling poses a considerable challenge to detailed numerical modelling. In the present contribution a recently developed own method is presented capable of numerically simulating such a situation. It is applied to a model configuration composed of very long flexible blades which corresponds to an experiment presently conducted in Lyon. A particularity of this situation, so far considered only rarely, is the length and high flexibility of the blades leading to a Cauchy number Ca around 25,000. The parameters are such that the monami phenomenon is observed featuring synchronized undulating motion of the blades. This very detailed simulation at high Ca is the first of its kind with very long, flat blades typical for aquatic plants. The contribution reports first results for the velocity field in terms of highly resolved instantaneous data and one-point statistics.

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Section: Numerical Setupmentioning

confidence: 99%

A first simulation of a model aquatic canopy at high Cauchy number

Löhrer¹,

Doppler²,

Puijalon³

et al. 2020

River Flow 2020

View full text Add to dashboard Cite

show abstract

“…For the composite wind turbine blades, the shape of the cross section is complex, and the material properties vary, depending on the position throughout the thickness of the beam and along the axis of the beam. This of course influences the shear behaviour of the beam [46,47]. Multiple methods exist to extract cross-sectional properties [48][49][50][51].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Composite Wind Turbine Blades as Beams: An Analytical and Numerical Study

et al. 2020

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This study focuses on the dynamic modelling and analysis of the wind turbine blades made of multiple layers of fibre reinforced composites and core materials. For this purpose, a novel three-dimensional analytical straight beam model for blades is formulated. This model assumes that the beam is made of functionally graded material (FGM) and has a variable and asymmetrical cross section. In this model, the blades are assumed to be thin, slender and long with a relatively straight axis. They have two main parts, namely the core and the shell. The so-called core consists of a lightweight isotropic foam material, which also adds significant damping to the system. The core material is covered by the shell, which is modelled using homogenous and orthotropic material assumptions as the structure is reinforced with continuous fibres. Therefore, the blades are modelled under a straight beam with varying cross-section assumptions, in which the effective elastic properties are acquired by homogenizing the cross section. The beam formulation for modelling the system is performed both analytically and numerically with the finite element method. The results of both methods are in well agreement. The maximum deviation between the results is found below 4%.

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The Effect of Uniform and Non-uniform Torsion in Thin-Walled Structures

Sabat¹,

Kundu²

2022

Lecture Notes in Civil Engineering

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Warping displacement of Timoshenko beam model

Cited by 18 publications

References 24 publications

A first simulation of a model aquatic canopy at high Cauchy number

A first simulation of a model aquatic canopy at high Cauchy number

Dynamic Analysis of Composite Wind Turbine Blades as Beams: An Analytical and Numerical Study

The Effect of Uniform and Non-uniform Torsion in Thin-Walled Structures

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