Minimum stringer stiffness of shear deformable composite laminated plates for maximum buckling performance

IF 2.5 3区 工程技术 Q2 MECHANICS
Dejan Dragicevic, Jakob C. Schilling, Christian Mittelstedt
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Abstract

This paper presents a closed-form analytical approach to the buckling behavior and stringer design of stiffened composite plates under uniaxial compressive load wherein the influence of transverse shear deformations is taken into account explicitly. For this purpose, besides classical laminated plate theory, first-order and third-order shear deformation theory are employed. First, a closed-form solution is derived for the global buckling load of the stiffened plate, i.e., when plate and stringer buckle simultaneously. The solution is based on simple shape functions for the buckling mode in conjunction with the principle of the total elastic potential of the plate in the buckled state. Furthermore, a solution for the local buckling load is presented which is derived in a similar manner as the global solution. Lastly, a criterion for the determination of the minimum bending stiffness of the stringer is derived, i.e., a closed-form expression for the bending stiffness that is required to enforce a local buckling mode. Results for centrically and excentrically stiffened plates are presented which highlight the importance of the consideration of transverse shear deformations for thick to moderately thick plates, and comparative finite element computations show that the developed analysis approaches work with good accuracy and yet negligible computational effort.

最大屈曲性能的剪切变形复合材料层合板的最小弦刚度
本文提出了一种考虑横向剪切变形影响的加筋复合材料板在单轴压缩载荷作用下的屈曲行为和弦部设计的封闭解析方法。为此,除经典叠合板理论外,还采用了一阶和三阶剪切变形理论。首先,推导了加筋板整体屈曲载荷的封闭解,即板和筋同时屈曲时的整体屈曲载荷。结合板在屈曲状态下的总弹性势原理,基于屈曲模态的简单形函数求解。此外,给出了局部屈曲载荷的解,该解的推导方法与全局解的推导方法相似。最后,导出了确定弦杆最小弯曲刚度的准则,即实现局部屈曲模态所需的弯曲刚度的封闭表达式。对中心加筋板和非中心加筋板的计算结果强调了考虑厚至中厚板横向剪切变形的重要性,对比有限元计算表明,所开发的分析方法具有良好的精度,但计算量可以忽略不计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
4.40
自引率
10.70%
发文量
234
审稿时长
4-8 weeks
期刊介绍: Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.
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