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Reverse shape compensation via a gradient-based moving particle optimization method

机译:通过基于梯度的移动粒子优化方法反向形状补偿

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Reverse shape compensation is widely used in additive manufacturing to offset the displacement distortion caused by various sources, such as volumetric shrinkage, thermal cooling, etc. Also, reverse shape compensation is also an effective tool for the four-dimensional (4D) printing techniques, shape memory polymers (SMPs), or 3D self-assemble structures to achieve a desired geometry shape under environmental stimuli such as electricity, temperature, gravity etc. In this paper, a gradient-based moving particle optimization method for reverse shape compensation is proposed to achieve a desired geometry shape under a given stimulus. The geometry is described by discrete particles, where the radius basis kernel function is used to realize a mapping from particle to density field, and finite element analysis is used to compute the deformation under the external stimulus. The optimization problem is formulated in detail, and MMA optimizer is implemented to update the location of discrete particles based on sensitivity information. In this work, self-weight due to gravity imposed on linear elastic structures is considered as the source of deformation. The objective of the problem is then to find the initial shape so that the deformed shape under gravity is close to desired geometry shape. A shape interpolation method based on Artificial Neural Network is proposed to reconstruct the accurate geometric prototype. Several numerical examples are demonstrated to verify the effectiveness of proposed method for reverse shape compensation. The computational framework for reverse shape compensation described in this paper has the potential to be extended to consider linear and non-linear deformation induced by other external stimuli. (C) 2020 Elsevier B.V. All rights reserved.
机译:逆形补偿广泛用于添加剂制造,以抵消由各种源引起的位移变形,例如体积收缩,热冷却等。此外,反向形状补偿也是四维(4D)印刷技术的有效工具,形状记忆聚合物(SMPS)或3D自组装结构,以在环境刺激下实现所需的几何形状,例如电,温度,重力等。本文提出了一种基于梯度的移动粒子优化方法,用于反向形状补偿在给定的刺激下实现所需的几何形状。几何形状由离散粒子描述,其中半径基核函数用于实现从粒子到密度场的映射,并且有限元分析用于计算外部刺激下的变形。详细制定了​​优化问题,并且实现了MMA优化器以基于灵敏度信息更新离散粒子的位置。在这项工作中,由于线性弹性结构施加的重力引起的自重被认为是变形的源。问题的目的是找到初始形状,使得重力下的变形形状接近所需的几何形状。提出了一种基于人工神经网络的形状插值方法来重建精确的几何原型。证明了几个数值示例以验证所提出的反向形状补偿方法的有效性。本文描述的反向形状补偿的计算框架具有延伸的可能性,以考虑由其他外部刺激引起的线性和非线性变形。 (c)2020 Elsevier B.v.保留所有权利。

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