An accurate and efficient 4-noded quadrilateral plate element for free vibration analysis of laminated composite plates using a refined third-order shear deformation plate theory

IF 6.3 2区材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Composite Structures Pub Date : 2023-08-19 DOI:10.1016/j.compstruct.2023.117490

Qiaorong Guo , Guangyu Shi

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Abstract

An accurate, efficient and reliable four-noded quadrilateral plate element is developed for the free vibration analysis of laminated composite plates. The element formulation is based on a refined third-order shear deformation plate theory (TSDT) and the quasi-conforming element technique. The equations of motion and the variational consistent mass matrix are derived through Hamilton’s principle. The resulting composite plate element is free from shear locking. Furthermore, both its element stiffness and mass matrices are computed explicitly. The convergence and accuracy of the present element are evaluated by the standard static and dynamic examples of isotropic plates. The accuracy of the computed natural frequencies of laminated composite plates is verified by the examples with various lamination schemes, elastic modulus ratios, aspect ratios and boundary conditions and by the comparison with other results. The effect of the associated boundary conditions in different TSDTs is also evaluated through numerical results. The influence of the higher-order and coupling mass matrices on the frequencies of higher-mode vibration is conducted too. The numerical results clearly demonstrate that the present plate element is not only very efficient but also capable of yielding accurate natural frequencies of both the fundamental and the higher-mode vibrations of laminated composite plates.

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基于改进的三阶剪切变形板理论的层合复合材料自由振动分析的四节点四边形板单元

提出了一种准确、高效、可靠的四节点四边形板单元，用于层合复合材料板的自由振动分析。该单元的计算是基于改进的三阶剪切变形板理论(TSDT)和拟协调单元技术。利用哈密顿原理推导了运动方程和变分一致质量矩阵。所得到的复合板元件不受剪切锁紧的影响。并对其单元刚度和质量矩阵进行了显式计算。通过各向同性板的标准静态和动态算例，评价了该单元的收敛性和精度。通过不同层合方案、弹性模量比、长径比和边界条件的算例以及与其它计算结果的比较，验证了层合板固有频率计算的准确性。本文还通过数值结果评价了相关边界条件在不同tsdt中的影响。研究了高阶质量矩阵和耦合质量矩阵对高模态振动频率的影响。数值结果清楚地表明，所提出的板单元不仅效率高，而且能够准确地计算复合材料层合板的基振和高模态振动的固有频率。

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来源期刊

Composite Structures 工程技术-材料科学：复合

CiteScore

12.00

自引率

12.70%

发文量

1246

审稿时长

78 days

期刊介绍： The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.