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2025-08-03 03:43本頁面
【正文】 the maximum at the terminal vertexes. The max is +02mm at these terminal vertexes. The error reaches %.We can see that the shear stress of the beam with membrane and rods is nearly constant in the middle part of the beam in the direction of X. We chose several nodes in the direction Y in the middle part. The precedent figure shows a range as a quadratic function of y along the web. The max is +00 mm, the error is %. 3. Conclusion: In the following table, we list the parison of different models with the analytical solution of beam theory.Difference withAnalytical solution of Beam theoryError of the displacement (%)Error of the normal stress(%)Error of the shear stress(%)CalculationTimeSimplifiedtheory3D√√√2D√32/√√1D√√√Membrane and beams√√Membrane and rods√√√√ From the table we can see the 3D model is good enough for the accuracy, but the calculation time of the model is long. The model with membrane and beam has big error in the normal stress. The 2D model is less accurate in the normal stress, but accurate in displacement and shear stress. The 1D model is the most accurate, but the model is not suitable for every situation. The model with membrane and rods which is usually used for an aeronautical structure is accurate for all the parameter.
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