Ritz method for large deflection of orthotropic thin plates with mixed boundary conditions

Al-Shugaa, Madyan A.; Al-Gahtani, Husain J.; Musa, Abubakr E. S.

doi:10.17512/jamcm.2020.2.01

Cited by 5 publications

(2 citation statements)

References 19 publications

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“…Additionally, it can be applied to describe and solve various boundary value problems for shells, beams, and plates [155]. The Ritz method is among the well-known approaches that have been employed for solving many boundary value problems, which proves its capability and efficiency in predicting the bending behavior of composite laminated plates with boundary conditions including free edges [156][157][158][159][160][161][162][163]. Song et al [164] employed the Rayleigh-Ritz approach to determine the natural frequency of laminated composite cylindrical shells under arbitrary boundary conditions.…”

Section: Rayleigh-ritz and Galerkin Methodsmentioning

confidence: 99%

Analysis of Laminated Composite Plates: A Comprehensive Bibliometric Review

Odeh,

Al-Shugaa,

Al-Gahtani

et al. 2024

Buildings

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Laminated composite plates have become a crucial point of interest in the industry, with the need to ensure sustained and stable structures throughout the plates’ lifespan. This study conducted a bibliometric analysis using the Scopus database, gathering 8221 documents for further scrutiny based on the linked meta-data. Utilizing the VOS viewer software version 1.6.19, maps were generated from scientific publishing network data, illustrating connections between researchers’ nations and keywords. The investigation into co-occurring phrases associated with laminated composite plates employed author keywords. The results reveal a significant and close relationship among top authors, suggesting a strong research connection, with the United States and China leading the field. Top cited documents and keyword correlations are examined to gauge current research interests. These critical reviews serve as essential resources for scholars and practitioners in the field. Additionally, the review discusses the advancements in and practical applications of different theories for laminated composite plates, with a focus on a bibliometric study using the Scopus database. This paper categorizes models within the context of an equivalent single-layer laminate, analyzing variations in established theories and methodologies for modeling laminated composite plates to offer a nuanced understanding of approaches and assessments in this field.

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Section: Rayleigh-ritz and Galerkin Methodsmentioning

confidence: 99%

Analysis of Laminated Composite Plates: A Comprehensive Bibliometric Review

Odeh,

Al-Shugaa,

Al-Gahtani

et al. 2024

Buildings

Self Cite

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“…Al-Shugaa et al [39] studied large deflection of orthotropic thin plates for mixed boundary conditions cases, among them (SSSF) shown in Fig. 4b.…”

Section: Simple Simple Simple Free (Sssf) Platementioning

confidence: 99%

Energy-Based Optimal Placement of Piezoelectric Actuator on Smart Thin Plate

Salem

Kassem

Amin

et al. 2023

J. Vib. Eng. Technol.

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Purpose To establish a smart thin plate in which structural health monitoring (SHM) and active vibration control purposes are integrated, the locations of attached piezoelectric ceramic (PZT) actuators as well as their applied normalized voltage are investigated. Method Normal strains of such coupled electro-mechanical systems are defined using Kirchoff's classical laminate plate theory (CLPT), and then, by Ritz solution, these normal strains are converted to spatially dependent functions that are employed to define virtual work for the actuators as a function of location and applied voltage. Finally, genetic algorithm (GA)-based iterative optimization is carried out to locate the actuators as well as determine the normalized applied voltage for each of them in the desired modes. Results Three plates with different boundary conditions are studied for optimal placement of PZT actuator/s . The PZT actuator/s are optimally placed where the maximum amount of exerted virtual work is reached to fulfil the perfect excitation needed by SHM and provide the highest damping energy for undesired vibration at designated modes. The results show that the optimum location of PZT actuator/s lies where the maximum sum of normal strains is. Conclusion The proposed process is valid for any mixed boundary conditions on a thin plate with any number of square actuators with a minimum computational effort, where both location of the actuator/s and applied voltage can be manipulated via GA to achieve the maximum exerted work done by PZT actuator/s at each desired natural mode.

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