Nonlocal thermoelastic waves inside nanobeam resonator subject to various loadings

• Published in: Mechanics based design of structures and machines Vol. 52; no. 1; pp. 215 - 238
• Main Authors: Tiwari, Rakhi, Saeed, Abdulkafi Mohammed, Abouelregal, Ahmed, Singhal, Abhinav, Salem, Mohamed G.
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 02.01.2024
• Subjects: Kernel functions; memory influence term; nano-beam; non-local effect; ramp type heating; time-delay; time-dependent load
• ISSN: 1539-7734; 1539-7742
• DOI: 10.1080/15397734.2022.2104312

The present article focuses on the new meticulous model based on the postulate of memory-dependent derivatives to analyze the thermo-mechanical interactions inside the nano-beam-based machined resonators. Also, the size effect on dynamic responses of thermoelastic vibrations of homogeneous and isotropic nano-beam is considered. The fundamental expressions are formulated in the frame of non-local generalized thermoelasticity with paired relaxation times by operating the results of Euler-Bernoulli beam theory, non-local effect, and memory-dependent derivative. The proposed model is applied to study the nano-beam-based machined resonator subjected to the ramp-type heating and exponentially decaying time-dependent load. Closed-form solutions of the physical fields are examined by applying the Laplace transform mathematical mechanism. However, the coherence of the new thermal conductivity framework, a collation has been bestowed among the results obtained in the presence or absence of the memory-dependent derivative; also, the size effect is analyzed on the significant parameters of nano-beam such as deflection, temperature, displacement as well as bending moment. Moreover, the prominent influence of the distinct affecting parameters such as constituents of memory-dependent derivative (kernel function and time delay) and ramping time parameter with an applied load on the physical fields have been investigated with the help of quantitative results.