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An Effective Finite Element Method for Beam Based Compliant Mechanism

机译:基于梁的柔顺机构的有效有限元方法

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This paper presents a nonlinear analysis of compliant mechanisms (CMs ) using finite element method. The case of a compliant four-bar mechanism, where the coupler link is to be guided by flexible input and follower links is developed. Previous works on this type of compliant mechanism are based on linear formulation thereby neglecting the shear stress induced in the links. An investigation on the influence of geometric nonlinearity in the analysis of compliant mechanisms where all flexible links are considered as two dimensional beams with shear deformation is presented. The energy equations were developed first; the discretization and the lagrangian dynamics that produced the motion equation were thereafter established. The automatic derivation of formulae needed in numerical procedure were done using symbolic programming module, AceGEN and implemented in a compiled back end, AceFEM. Finally, the numerical results reveal the deviation that exists with linear formulation assumption, showing that this approach is more encompassing.
机译:本文提出了使用有限元方法对顺应机构(CMs)进行非线性分析的方法。开发了一种顺应性的四连杆机构,其中耦合器连杆由灵活的输入和从动连杆引导。此类柔顺机构的先前工作是基于线性公式,从而忽略了链节中引起的剪切应力。提出了几何非线性在顺应性机构分析中的影响的研究,其中所有挠性链节均被视为具有剪切变形的二维梁。首先开发了能量方程;随后建立了离散化和产生运动方程的拉格朗日动力学。数值过程中所需公式的自动推导是使用符号编程模块AceGEN完成的,并在编译后的后端AceFEM中实现。最后,数值结果揭示了线性公式假设下存在的偏差,表明该方法更具包容性。

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