Coupled flexural torsional analysis and buckling optimization of variable stiffness thin-walled composite beams

Mukherjee, Paulomi; Punera, Devesh; Mishra, Mayank

doi:10.1080/15376494.2021.1878565

Cited by 16 publications

(6 citation statements)

References 57 publications

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“…This curvilinear parameterization with a predefined set of fiber angle variation reduces the design space of the problem but maintains continuity of fibers. Several studies with linear 12,17,107–109 and nonlinearly varying fiber angles 110–113 are available. Different parameterized curves are proposed to increase the design space and improve continuity and manufacturability.…”

Section: Optimization Studies On Variable Stiffness Compositesmentioning

confidence: 99%

“…Therefore, the thickness is also varying along with the fiber angle. Mukherjee et al 109 have used the non-shear deformable C 0 kinematic model to optimize the lateral torsional buckling response of open thin-walled VSC beams.…”

Section: Refined Analysis and Solution Approachesmentioning

confidence: 99%

“…A classical problem of the plate having holes (or cutouts) is studied by various authors. 86,107,111,114,123,127,[132][133][134] The optimization strategies with weight minimization, 111 optimum strength, 123,127 and maximum buckling load 109,126,135 criteria are tested. The variable fiber angle profile is found to enhance the strength and buckling load capacity compared to the constant angle composites.…”

Section: Optimization Studies On Variable Stiffness Compositesmentioning

confidence: 99%

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Recent developments in manufacturing, mechanics, and design optimization of variable stiffness composites

Punera

Mukherjee

2022

Journal of Reinforced Plastics and Composites

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The functional advantages of tailored stiffness, often seen in nature, are also utilized in composite structures. Advancements in the multiaxis tow placement and automated fiber placement (AFP) machines led to the development of variable angle tow (VAT) composites, also referred further as variable stiffness composites (VSC). These composites are shown to effectively enhance the stress distribution and buckling load capacity of structures with greater flexibility on the design space. This review systematically presents the status of recent research on the topic of VSCs. Various manufacturing techniques of VSC are discussed; constraints and the defects associated with the manufacturing processes are enlisted. The review highlights the optimization studies based on the fiber profile and macro-scale stiffness invariants. Several studies existing in the domain of buckling, vibration, and aeroelastic tailoring of angle tow composites are summarized to connect the important aspects of analysis and present a holistic approach for future studies in this area.

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Section: Optimization Studies On Variable Stiffness Compositesmentioning

confidence: 99%

Section: Refined Analysis and Solution Approachesmentioning

confidence: 99%

Section: Optimization Studies On Variable Stiffness Compositesmentioning

confidence: 99%

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Recent developments in manufacturing, mechanics, and design optimization of variable stiffness composites

Punera

Mukherjee

2022

Journal of Reinforced Plastics and Composites

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“…Teaching-learning-based optimization algorithm has been presented by Rao et al [65] for optimization in the design problems of mechanical systems. Due to its simplicity and effectiveness, TLBO was studied in several other engineering problems [66][67][68][69][70][71][72][73]. Regarding structural damage detection, Pholdee and Bureerat [74] combined TLBO with Broyden-Fletcher-Goldfarb-Shanno algorithm (BFGS) to detect damage in complex truss structures using natural frequencies.…”

Section: Literature Reviewmentioning

confidence: 99%

Teaching–learning-based optimization algorithm for solving structural damage detection problem in frames via changes in vibration responses

Kundu

Mishra

Maity

2021

Archit. Struct. Constr.

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Optimization algorithms are primarily responsible for efficiency in vibration-based damage detection particularly when utilizing the inverse approach. A complex problem of damage detection tends to converge into local minima, generated by a false damaged state which produces a response that is almost similar to the actual damaged state. Hence, there is a need for an efficient and accurate soft computing technique that can find the global minima or the actual damaged state. Recently, the teaching-learning based optimization (TLBO) algorithm has become quite popular due to its superior performance especially when compared to other metaheuristic algorithms. In this paper, damage estimation capability of the TLBO for frame structures and a benchmark problem of cantilever beam is studied and comparisons are made with some established soft computing techniques. TLBO is observed to produce better results relative to the other artificial intelligence-based techniques used for structural health monitoring.

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“…45 Post-Buckling optimization of Timoshenko functionally graded beam using analytical and numerical methods theory was investigated by Jamshidi et al 46 They considered the optimization design of hybrid composite beams with different boundary conditions, but the cross-section was fixed. Mukherjee et al 47 for study of buckling optimization of thin-walled composite beams focused on the flexural–torsional coupling and used “teaching learning based optimization” algorithm. Their conclusions shown that the lateral-torsional buckling load capacity can be improved about 15% compared to unidirectional laminated beams.…”

Section: Introductionsmentioning

confidence: 99%

Multi-objective optimization of lateral stability strength of transversely loaded laminated composite beams with varying I-section

Soltani

Abolghasemian

Shafieirad

et al. 2022

Journal of Composite Materials

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In this research, the lateral buckling analysis and layup optimization of the laminated composite of web and flanges tapered thin-walled I-beams based on maximizing lateral-torsional stability strength and minimizing mass/cost of the structure are investigated. The classical lamination theory and Vlasov’s model for thin-walled cross-section are adopted to establish the total potential energy for thin-walled symmetric balanced laminated beams with varying I-section. By implementing the Ritz method, an explicit formulation for the lateral-torsional buckling load of a double-tapered beam subjected to transverse loading is then derived in terms of the load height parameter and stiffness quantities. Subsequently, the optimal arrangements of layer sequences are obtained using the non-dominated sorting genetic algorithm (NSGA-II) and properly defined objective function. The critical factors of fitness function as lateral buckling strength and the mass of the structure with critical limitations as ply angle, number of layers for the web and flanges, and the thickness of all section walls are considered in this study. Finally, the optimal layer arrangement for the web and flanges are separately determined and discussed. The results show that the presented optimization procedure and layups patterns lead to increasing the lateral-torsional buckling capacity about 52% compared to the conventional angle-ply and unidirectional layups for the web and flanges, respectively.

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Coupled flexural torsional analysis and buckling optimization of variable stiffness thin-walled composite beams

Cited by 16 publications

References 57 publications

Recent developments in manufacturing, mechanics, and design optimization of variable stiffness composites

Recent developments in manufacturing, mechanics, and design optimization of variable stiffness composites

Teaching–learning-based optimization algorithm for solving structural damage detection problem in frames via changes in vibration responses

Multi-objective optimization of lateral stability strength of transversely loaded laminated composite beams with varying I-section

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