Adjoint Based Sensitivity Analysis for Geometrically Exact Beam Theory and Variational Asymptotic Beam Section Analysis with Applications to Wind Turbine Design Optimization

Author(s):  
Michael McWilliam ◽  
Curran Crawford
2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Jian Zhang ◽  
Zhaohui Qi ◽  
Gang Wang ◽  
Shudong Guo

This paper presents a modeling study of the dynamics of a helical spring element with variable pitch and radius considering both the static stiffness and dynamic response by using the geometrically exact beam theory. The geometrically exact beam theory based on the Euler–Bernoulli beam hypothesis is described, of which the shear deformations are ignored. Unlike the traditional spliced curved beam element method, the helical spring element is described with curvature vector and axial strain by establishing and spline-interpolating a function of the radius, the height, the polar angle, and the torsion angle of the whole spring. In addition, a model smoothing method is developed and applied in the numerical analysis to filter the high-frequency oscillation component of the flexible multibody systems, so as to correct the system dynamic equations and improve the calculation efficiency when solving the static equilibrium of the spring. This study also carries out five numerical trials to validate the above dynamic procedure of the helical spring element. The example of the spring static stiffness design shows that the proposed helical spring procedure enables one to deal with practical engineering applications.


Author(s):  
Zhongwei Li ◽  
Mayuresh Patil ◽  
Xiaochuan Yu

This article presents a semi-analytical method to calculate the ultimate strength of inelastic beam-columns with I-shaped cross section using geometrically exact beam theory. A computer code based on this method has been applied to beam-columns under axial compression. The results agree with nonlinear finite element analysis. Compared with previous step-by-step integration approach, this new method is more efficient and can be extended to multi-span beam-columns and other load combinations including lateral pressure. The presented beam-column model is ideally suited for ultimate strength prediction of stiffened steel panels of ships and offshore structures.


2014 ◽  
Vol 571-572 ◽  
pp. 1083-1086
Author(s):  
Qiu Yun Mo ◽  
Fei Deng ◽  
Shuai Shuai Li ◽  
Ke Yan Zhang

Multidisciplinary design optimization (MDO) represents the development direction of complex products design theory and method, it shows a huge advantage in solving complex optimization problems in engineering applications, for example product design. This paper briefly analyzes some existing problems of small vertical wind turbine, and puts forward using the theory of MDO in small vertical wind turbine structural optimization. Then,the paper analyzes and points out the key technology of using MDO theory to optimize small vertical wind turbine, and provides a new train of thought for further in-depth study of small vertical wind turbine to improve the overall performance of the small vertical wind turbine products.


Author(s):  
Jinge Chen ◽  
Xin Shen ◽  
Xiaocheng Zhu ◽  
Zhaohui Du

Along with the upscaling tendency, lighter and so more flexible wind turbine blades are introduced for reducing cost of manufacture and materials. The flexible blade deforms under aerodynamic loads and in turn affects the flow field, arising the aero-elastic problems. In this paper, the impact of blade flexibility on the wind turbine loads, power production, and pitch actions is discussed. An aeroelastic model is developed for the study. A free wake vortex lattice model is used to calculate the aerodynamic loads, and a geometrically exact beam theory is adopted to compute the structural dynamics of the blade. The flap, lead-lag bending and torsion DOFs are all included and nonlinear effects due to large deflections are considered. The NREL 5MW reference wind turbine is analyzed. Influences of pure-bending and bending-torsion deformations of the blade on aerodynamic loads are compared. The aerodynamic force distributions under various wind speeds for rigid and flexible blades are also compared. The steady state deformations across the operational conditions are calculated, along with the rotor power production. Significant reduction of power is seen especially under large wind speeds, due to the blade twist deformations under torsion moments. Lower pitch angle settings should be applied to maintain the constant power.


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