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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Isogeometric configuration design sensitivity analysis of finite deformation curved beam structures using Jaumann strain formulation
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Isogeometric configuration design sensitivity analysis of finite deformation curved beam structures using Jaumann strain formulation

机译：基于Jaumann应变公式的有限变形曲梁结构等几何构型设计灵敏度分析。

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Using an isogeometric approach, a continuum-based configuration design sensitivity analysis (DSA) method is developed for curved Kirchhoff beams with multi-patch junctions. Under the total Lagrangian formulation, large deformations considering the initial curvature of curved beams are described by geometrically exact beam theory (GEBT) and Jaumann strain formulation. In the isogeometric approach, the higher order continuity and the exact description of initial geometry are naturally embedded using NURBS basis functions. In multi-patch models, C-0-continuity of physical displacement or C-1-continuity of displacement component at junction is weakly imposed using the Lagrange multiplier method. The superior accuracy of isogeometric analysis (IGA) is verified through the comparison with the results of finite element analysis (FEA) using cubic Hermite interpolation. In the DSA, a material derivative is utilized and the kinematical description of GEBT is consistently employed to express orientation design variations. Contrary to the IGA-based DSA, the Hermite basis function explicitly depends on design in the FEA-based DSA due to its element length parameter. Moreover, since the design velocity field is approximated using the nodal velocity imposed at nodal tangential vector, the amount of design perturbations should be very small to obtain precise design sensitivity. (C) 2016 Elsevier B.V. All rights reserved.
机译：使用等几何方法，针对具有多面片结的弯曲Kirchhoff梁开发了基于连续体的配置设计灵敏度分析（DSA）方法。在总拉格朗日公式下，考虑几何弯曲梁初始曲率的大变形由几何精确梁理论（GEBT）和Jaumann应变公式描述。在等几何方法中，自然使用NURBS基函数嵌入了更高阶的连续性和初始几何的精确描述。在多面体模型中，使用拉格朗日乘数法微弱地施加了C-0连续的物理位移或C-1连续的位移分量。通过与使用三次Hermite插值的有限元分析（FEA）的结果进行比较，验证了等几何分析（IGA）的卓越准确性。在DSA中，使用了材料导数，并且始终采用GEBT的运动学描述来表示方向设计的变化。与基于IGA的DSA相反，Hermite基本函数由于其元素长度参数而明显取决于基于FEA的DSA中的设计。而且，由于设计速度场是使用施加在节点切向矢量处的节点速度来近似的，因此设计扰动的数量应非常小以获得精确的设计灵敏度。 （C）2016 Elsevier B.V.保留所有权利。

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