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Post-buckling analysis of composite beams: Simple and accurate closed-form expressions

机译：复合梁的后屈曲分析：简单准确的闭合形式表达式

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摘要

The present study proposes simple, elegant, and accurate closed-form expressions for predicting the post-buckling behavior of composite beams with axially immovable ends using the Rayleigh-Ritz (R-R) method, where geometric nonlinearity arises from mid-plane stretching of the beam. The displacement fields used for the analysis are coupled using the axial equilibrium equation of the composite beam. An exhaustive set of beam boundary conditions are studied, namely, hinged-hinged, clamped-clamped, clamped-hinged, hinged-guided, and clamped-guided beams in order to prove the efficacy of the present formulation. Post-buckling analysis results are presented for laminated composite beam with symmetric and asymmetric layup schemes. Post-buckling analysis results obtained using the R-R method are compared with the results obtained from the finite element (FE) method for all layup schemes considered and comparison shows an excellent match for all the beam boundary conditions considered and thereby proves simplicity, accuracy, and robustness of present closed-form analytical expressions for predicting the buckling and post-buckling behavior of composite beams with symmetric and asymmetric layup orientations.
机译：本研究提出了一种简单，优雅，准确的闭合形式表达式，用于使用Rayleigh-Ritz（RR）方法预测具有轴向固定端的复合梁的后屈曲特性，其中几何非线性是由于梁的中平面拉伸引起的。使用合成梁的轴向平衡方程来耦合用于分析的位移场。研究了一组详尽的束边界条件，即铰链，夹箍，夹箍，铰链导向和夹持导向梁，以证明本发明配方的有效性。给出了具有对称和非对称布置方案的层合组合梁的屈曲后分析结果。将使用RR方法获得的屈曲后分析结果与从有限元（FE）方法获得的结果进行比较，以考虑所考虑的所有铺层方案，并且比较结果表明所考虑的所有光束边界条件都具有极佳的匹配度，从而证明了其简单性，准确性和可靠性。当前闭合形式的分析表达式的稳健性，用于预测具有对称和非对称铺放方向的组合梁的屈曲和屈曲后行为。

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