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首页> 外文期刊>International Journal of Space Structures >Continuous and Finite Element Methods for the Vibrations of Inflatable Beams
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Continuous and Finite Element Methods for the Vibrations of Inflatable Beams

机译：充气梁振动的连续和有限元方法

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摘要

Inflatable structures are under increasing development in various domains. Their study is often carried out by using 3D membrane finite elements and for static loads. There is a lack of knowledge in dynamic conditions, especially for simple and accurate solutions for inflatable beams. This paper deals with the research on the natural frequencies of inflatable Timoshenko beams by an exact method: the continuous element method (CEM), and by the classical finite element method (FEM). The dynamic stiffness matrix D(ω) is here established for an inflatable beam; it depends on the natural frequency and also on the inflation pressure. The stiffness and mass matrixes used in the FEM are deduced from D(ω). Natural frequencies and natural modes of a simply supported beam are computed, and the accuracy of the CEM is checked by comparisons with the finite element method and also with experimental results.
机译：充气结构在各个领域中都在不断发展。他们的研究通常是通过使用3D膜有限元和静态载荷进行的。在动态条件下缺乏知识，尤其是对于充气梁的简单而准确的解决方案。本文通过一种精确的方法：连续单元法（CEM）和经典有限元方法（FEM）对Timoshenko充气梁的固有频率进行研究。在此为充气梁建立动态刚度矩阵D（ω）。它取决于自然频率，也取决于通货膨胀压力。 FEM中使用的刚度和质量矩阵由D（ω）推导出。计算了简支梁的固有频率和固有模态，并通过与有限元法和实验结果的比较来检验CEM的精度。

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