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AN EXPLORATION OF BUCKLING MODES AND DEFLECTION OF A FIXED-GUIDED BEAM

机译:固定梁的屈曲模式和挠度的探讨

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This paper explored the deflection and buckling of fixed-guided beams. It uses an analytical model for predicting the reaction forces, moments, and buckling modes of a fixed-guided beam undergoing large deflections. One of the strengths of the model is its ability to accurately predict buckling behavior and the buckled beam shape. The model for the bending behavior of the beam is found using elliptic integrals. A model for the axial deflection of the buckling beam is also developed based on the equations for stress and strain and the buckling profile of the beam calculated with the elliptic integral solution. These two models are combined to predict the performance of a beam undergoing large deflections including higher order buckling modes. The force vs. displacement predictions of the model are compared to the experimental force vs. deflection data of a bistable mechanism and a thermomechanical in-plane microac-tuator (TIM). The combined models show good agreement with the force vs. deflection data for each device. The paper's main contributions include the addition of the axial buckling model to existing beam bending models, the exploration of the deflection domain of a fixed-guided beam, and the demonstration that nonlinear finite element models may incorrectly predict a beam's buckling mode unless unrealistic constraints are placed on the beam.
机译:本文探讨了固定制导梁的挠度和屈曲。它使用分析模型预测经历大挠度的固定导向梁的反作用力,力矩和屈曲模式。该模型的优势之一是其能够准确预测屈曲行为和弯曲梁形状的能力。梁的弯曲行为模型是使用椭圆积分找到的。还基于应力和应变方程以及基于椭圆积分解计算的梁的屈曲轮廓,建立了屈曲梁的轴向挠度模型。将这两个模型结合起来,可以预测包括较大阶次屈曲模式在内的大变形光束的性能。将模型的力与位移预测值与双稳态机构和热机械式平面微执行器(TIM)的实验力与位移数据进行比较。组合的模型与每个设备的力与挠度数据显示出很好的一致性。本文的主要贡献包括在现有的梁弯曲模型中增加了轴向屈曲模型,探索了固定制导梁的挠度域,并证明了非线性有限元模型可能会错误地预测梁的屈曲模式,除非存在不切实际的约束。放在梁上。

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