Static and free vibration analysis of delaminated composite plates using secant function based shear deformation theory

Nitin Bhardwaj, Abhiraj Sinha, Babar Abhijeet, Rosalin Sahoo
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Abstract

In this work, the static and free vibration analysis of delaminated composite plates are studied. The secant function based shear deformation theory (SFSDT), is used for the analysis of multiple delaminated models. This theory exhibits a non-linear shear stress distribution and fulfills the traction-free boundary conditions at the top and bottom surfaces of the plates, hence there is no need for a shear correction factor. The finite element method, a numerical solution-based approach is used here considering an eight-noded isoparametric quadratic element. The investigation explores the effects of delamination size, position and stacking sequence on the flexural and dynamic characteristics of the composite plates. Additionally, other geometric factors such as delamination thickness and shape are investigated to understand their impact. The study aims to identify the optimal configurations that minimize the detrimental effects of delaminations. The results provide valuable insights into the static and free vibration behaviour of delaminated composite plates, contributing to design guidelines and optimization strategies for structurally sound and efficient composite structures. Overall, this research offers a comprehensive investigation of the static and free vibration analysis of delaminated composite plates, advancing knowledge in the field and facilitating improved design practices.
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利用基于正割函数的剪切变形理论对分层复合板进行静态和自由振动分析
本文研究了分层复合板的静态和自由振动分析。基于正割函数的剪切变形理论(SFSDT)被用于分析多重分层模型。该理论显示了非线性剪应力分布,并满足板材上下表面的无牵引边界条件,因此无需剪切修正系数。这里使用的有限元方法是一种基于数值求解的方法,考虑了八编码等参数二次元。研究探讨了分层尺寸、位置和堆叠顺序对复合板弯曲和动态特性的影响。此外,还研究了分层厚度和形状等其他几何因素,以了解它们的影响。该研究旨在确定可将分层的有害影响降至最低的最佳配置。研究结果为分层复合材料板的静态和自由振动行为提供了宝贵的见解,有助于为结构合理、高效的复合材料结构提供设计指导和优化策略。总之,这项研究对分层复合板的静态和自由振动分析进行了全面的调查,推动了该领域知识的发展,促进了设计实践的改进。
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