Research Papers: Ocean Renewable Energy

Structural Dynamic Analysis of a Tidal Current Turbine Using Geometrically Exact Beam Theory

[+] Author and Article Information
Qi Wang

Siemens Wind Power, Inc.,
1050 Walnut Street,
Boulder, CO 80302-5142

Pengkun Zhang

School of Naval Architecture
and Civil Engineering,
Shanghai Jiaotong University,
Shanghai 200240, China

Ye Li

State Key Laboratory
of Ocean Engineering,
Collaborative Innovation Center for Advanced
Ship and Deep-Sea Exploration,
School of Naval Architecture
and Civil Engineering,
Shanghai Jiaotong University,
Shanghai 200240, China
e-mail: ye.li@sjtu.edu.cn

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received September 8, 2016; final manuscript received October 3, 2017; published online November 16, 2017. Assoc. Editor: Yin Lu Young.

J. Offshore Mech. Arct. Eng 140(2), 021903 (Nov 16, 2017) (10 pages) Paper No: OMAE-16-1110; doi: 10.1115/1.4038172 History: Received September 08, 2016; Revised October 03, 2017

This paper presents a numerical study of the dynamic performance of a vertical axis tidal current turbine. First, we introduce the geometrically exact beam theory along with its numerical implementation the geometric exact beam theory (GEBT), which are used for structural modeling. We also briefly review the variational-asymptotic beam sectional analysis (VABS) theory and discrete vortex method with free-wake structure (DVM-UBC), which provide the one-dimensional (1D) constitutive model for the beam structures and the hydrodynamic forces, respectively. Then, we validate the current model with results obtained by ANSYS using three-dimensional (3D) solid elements and good agreements are observed. We investigate the dynamic performance of the tidal current turbine including modal behavior and transient dynamic performance under hydrodynamic loads. Finally, based on the results in the global dynamic analysis, we study the local stress distributions at the joint between blade and arm by VABS. It is concluded that the proposed analysis method is accurate and efficient for tidal current turbine and has a potential for future applications to those made of composite materials.

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Fig. 1

Schematic showing undeformed and deformed beam configurations [20]

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Fig. 2

Sketch of the vertical-axis tidal turbine

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Fig. 3

Sketch of numerical model for the tidal turbine based on GEBT

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Fig. 4

Comparison of results obtained by GEBT and ANSYS

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Fig. 5

First five mode shapes for H=2R (1500 mm) case: (a) mode 1, (b) mode 2, (c) mode 3, (c) mode 4, and (d) mode 5

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Fig. 6

First two whole turbine mode shapes for H=2R (1500 mm) case: (a) mode 1 and (b) mode 2

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Fig. 7

Deflections at top and bottom tips of the blade under hydrodynamic forces (H = R = 750 mm)

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Fig. 8

Deflections at top and bottom tips of the blade under hydrodynamic forces (H = 2R = 1500 mm)

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Fig. 9

Deflections at top and bottom tips of the blade under hydrodynamic forces (H = 3R = 2250 mm)

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Fig. 10

Deflections at top and bottom tips of the blade under hydrodynamic forces (H = 4R = 3000 mm)

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Fig. 11

VABS beam coordinate system

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Fig. 12

Contour plot of stresses over the cross section at 1/4 of the blade: (a) σ11 (Pa), (b) σ12 (Pa), and (c) σ13 (Pa)

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Fig. 13

A triangular impulsive load

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Fig. 14

Comparison of tip displacements under an impulsive load with and without elastic coupling effect: (a) U2 and (b) U3



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