High-thermal free vibration analysis of functionally graded microplates using a new finite element formulation based on TSDT and MSCT

• Published in: Defence technology Vol. 44; no. 2; pp. 131 - 149
• Main Authors: Dang, Huu Trong, Hoang, Nhan Thinh, Pham, Quoc Hoa, Tran, Trung Thanh, Luong, Huy Gia
• Format: Journal Article
• Language: English
• Published: Beijing Elsevier B.V 01.02.2025; KeAi Publishing Communications Ltd; Faculty of Mechanical Engineering Technology,Vinh Long University of Technology Education,Vinh Long 91000,Viet Nam%Institute for Creative Design and Business,Nguyen Tat Thanh University,Ho Chi Minh City 70000,Viet Nam%Faculty of Engineering and Technology,Nguyen Tat Thanh University,Ho Chi Minh City 70000,Viet Nam%Faculty of Mechanical Engineering,Le Quy Don Technical University,Hanoi 10000,Viet Nam%TechnoStar Vietnam,TechnoStar Co.Ltd,Ho Chi Minh City 70000,Viet Nam; KeAi Communications Co., Ltd
• Subjects: Composite materials; Deformation; Elastic foundations; Fighter aircraft; Finite element analysis; Finite element method; Free vibration; Functionally graded material; Functionally gradient materials; Heat resistance; High temperature; High-thermal free vibration; Material properties; Mechanical engineering; Methods; Microplates; Military applications; Modified couple stress theory; New TSDT; Parameters; Pasternak foundation; Shear deformation; Shear layers; Stiffness; Thermal environments; Vibration analysis; Finite element method; New TSDT; Functionally graded material; High-thermal free vibration; Microplates; Modified couple stress theory; Pasternak foundation
• ISSN: 2214-9147; 2096-3459; 2214-9147
• DOI: 10.1016/j.dt.2024.08.013

Recent advancements in additive manufacturing (AM) have revolutionized the design and production of complex engineering microstructures. Despite these advancements, their mathematical modeling and computational analysis remain significant challenges. This research aims to develop an effective computational method for analyzing the free vibration of functionally graded (FG) microplates under high temperatures while resting on a Pasternak foundation (PF). This formulation leverages a new third-order shear deformation theory (new TSDT) for improved accuracy without requiring shear correction factors. Additionally, the modified couple stress theory (MCST) is incorporated to account for size-dependent effects in microplates. The PF is characterized by two parameters including spring stiffness (kw) and shear layer stiffness (ks). To validate the proposed method, the results obtained are compared with those of the existing literature. Furthermore, numerical examples explore the influence of various factors on the high-temperature free vibration of FG microplates. These factors include the length scale parameter (l), geometric dimensions, material properties, and the presence of the elastic foundation. The findings significantly enhance our comprehension of the free vibration of FG microplates in high thermal environments. In addition, the findings significantly enhance our comprehension of the free vibration of FG microplates in high thermal environments. In addition, the results of this research will have great potential in military and defense applications such as components of submarines, fighter aircraft, and missiles.