Size-dependent postbuckling for microbeams: analytical solutions using a reformulated strain gradient elasticity theory

Yin, Shuohui; Xiao, Zhibing; Zhang, Gongye; Bui, Tinh Quoc; Wang, Xuefei; Liu, Jingang

doi:10.1007/s00707-022-03360-x

Cited by 6 publications

(1 citation statement)

References 51 publications

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“…The study concluded that the FG microbeam fundamental frequency based on (RSGT) was greater compared to that of (MCST). Yin et al, [23] introduced analytical solutions for postbuckling size-dependent EBT and TBT microbeams and examined the impact of beam thickness and other parameters on the post-buckling response. Yin et al, [24] examined the buckling behavior of sizedependent microbeams using both exact solutions and the isogeometric analysis method.…”

Section: Introductionmentioning

confidence: 99%

Reformulated Strain Gradient (Rsg) Elasticity Theory for Free Vibration of Thermal Bi-Directional Fg Microbeam

Majeed,

Elaikh,

Ugla

2024

Jurnal Teknologi

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This research examines the vibrational response of a micro-scale Euler beam made from two-directional functionally graded (2D-FG) materials and subjected to thermal effects. By employing a reformulated strain gradient elasticity (RSGE) approach, the equations of motion using Hamilton’s principle for clamped -clamped and clamped-simply boundary conditions are derived and solved them using Galerkin's approach. The investigation explores the impact of temperature, gradient index, and parameters length scale materials on the bidirectional graded microbeam's dynamic characteristics. Furthermore, the normalized frequency, as based on the current reformulated strain gradient elasticity microbeam model, consistently emerges as higher than that derived from the classical model.

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Section: Introductionmentioning

confidence: 99%