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首页> 外文期刊>Composite Structures >Development and implementation of a geometrically nonlinear beam theory model for SMA composite beams with asymmetric behavior
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Development and implementation of a geometrically nonlinear beam theory model for SMA composite beams with asymmetric behavior

机译：具有不对称行为的SMA复合梁几何非线性光束理论模型的开发与实现

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摘要

This work aims at developing a finite element solution with consideration of the geometric nonlinearity for analyzing the bending behavior of a Shape Memory Alloy multi-layered beam. In this solution, a numerical method based on the Newton-Raphson method is implemented in order to satisfy equilibrium equations. The validation of the model is carried out by means of comparing the simulation results of beam with the semi-analytical solution. The validation outcomes are described for both symmetric and asymmetric models, and it is observed that both methods are in good agreement. The results of simulation of composite SMA beam are reported by both considering and neglecting the geometric nonlinearity and asymmetric behavior. Load-deflection, stress-strain as well as variation of the maximum slope are some of the diagrams that are investigated in this study. In one example, the error between the models which include and neglect the geometric nonlinearity is 107% and also in another case study, the error between asymmetric and symmetric models is 14.9%. The results reveal that considering the geometric nonlinearity and asymmetric behavior have important effects on simulation outcomes. This model is suitable for the design of structures including multilayer SMA composite which undergoes large displacements and moderate rotations.
机译：这项工作旨在通过考虑用于分析形状记忆合金多层光束的弯曲行为的几何非线性来开发有限元解决方案。在该解决方案中，实现了一种基于Newton-Raphson方法的数值方法以满足平衡方程。通过将光束的模拟结果与半分析解决方案进行比较来执行模型的验证。对称和不对称模型描述了验证结果，观察到两种方法都非常一致。通过考虑和忽视几何非线性和不对称行为，通过仿真复合SMA光束仿真结果。负载偏转，应力 - 应变以及最大斜率的变化是本研究中研究的一些图。在一个示例中，包括和忽视几何非线性的模型之间的误差是107％，并且在另一个案例研究中，非对称和对称模型之间的误差为14.9％。结果表明，考虑到几何非线性和不对称行为对模拟结果具有重要影响。该模型适用于结构的结构，包括多层SMA复合材料，该组合物经历大的位移和中等旋转。

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